7(-a-3)=3(2a-6) I have the answer but I need help checking it.

Answers

Answer 1

SOLUTION:

Step 1:

In this question, we are meant to solve the following:

[tex]7\text{ ( - a - 3 ) = 3 ( 2a - 6 )}[/tex]

Step 2:

Simplifying, we have that:

[tex]\begin{gathered} -7a\text{ - 21 = 6a - 18} \\ \end{gathered}[/tex]

collecting like terms, we have that:

[tex]\begin{gathered} -21\text{ + 18 = 6 a + 7a} \\ 13\text{ a = -3} \\ \text{Divide both sides by 13, we have that:} \\ a\text{ = }\frac{-3}{13} \end{gathered}[/tex]

Step 3:

To verify that:

[tex]a\text{ =}\frac{-3}{13}[/tex]

is a solution, we have that:

[tex]7\text{ ( - a - 3 ) = 7 \lbrack -(}\frac{-3}{13}\text{ ) - 3 \rbrack}[/tex][tex]7\lbrack\text{ }\frac{3}{13}\text{ - 3\rbrack = 7 \lbrack }\frac{3}{13}\text{ - }\frac{39}{13}\text{ \rbrack = 7 x }\frac{-36}{13}\text{ = }\frac{-252}{13}\text{ ( Left Hand Side)}[/tex]

Next,

[tex]3\text{ ( 2 a - 6 ) = 3 \lbrack{}2(}\frac{-3}{13})\text{ - 6 }\rbrack\text{ = 3 \lbrack}\frac{-6}{13}\text{ - 6\rbrack= 3\lbrack}\frac{-6}{13}\text{ - }\frac{78}{13}\rbrack[/tex][tex]=\text{ 3 \lbrack }\frac{-84}{13}\text{ \rbrack = }\frac{-252}{13}\text{ ( Right Hand Side)}[/tex]

CONCLUSION:

From the solution and from the verification of the answers, we can see that the correct answer is:

[tex]a\text{ = }\frac{-\text{ 3}}{13}[/tex]


Related Questions

Find Sec A and Cot B exactly if a=8 and b=7

Answers

The given triangle is right angle triangle with side a = 8 and b 7

Apply pythagoras theorem for the side c;

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

Hypotenuse² = Perpendicular² + Base²

Here, perpendicular, a =8 and Base b = 7

[tex]\begin{gathered} c^{2}=a^{2}+b^{2} \\ c^{2}=8^{2}+7^{2} \\ c^2=113 \\ c=\sqrt[]{113} \end{gathered}[/tex]

The trignometric ratio for sec of an angle define as the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

[tex]\begin{gathered} \sec A=\frac{Hypotenuse}{Adjacent\text{ side of angle A}} \\ \sec A=\frac{c}{b} \\ \sec A=\frac{\sqrt[]{113}}{7} \end{gathered}[/tex]

The trignometric ratio for cosine of angle define as the ratio of the adjacent side to the the opposite side of the angle,

[tex]\begin{gathered} CotB=\frac{\text{Adjacent side to angle B}}{\text{Opposite side to angle B}} \\ CotB=\frac{a}{b} \\ CotB=\frac{8}{7} \end{gathered}[/tex]

Answer; a)

[tex]\text{SecA}=\frac{\sqrt[]{113}}{7},\cot B=\frac{8}{7}[/tex]

What is the solution to the equation -6 = x/8

Answers

Given equation is

[tex]\frac{x}{8}=-6[/tex]

Performing the cross multiplication,

[tex]\begin{gathered} x=(-6)\times8 \\ =-48 \end{gathered}[/tex]

Hence, the solution of the given equation is x=-48.

Which problem could be solved with the expression 5 (2 + 4) = 6?Choose 1 answer:Hayden made 2 bracelets before school and 4 after school each day for 5 days. Then he split thebracelets into 6 equal groups. How many bracelets did Hayden have in each group?(вShadi is building a new back deck. He puts 2 nails and 4 screws in each board. He did this to 5boards. How many total screws and nails did he use?Khai, the dog, ate 2 bones on Monday, 4 bones on Tuesday and 6 bones on Wednesday. OnThursday, she ate 5 times more bones than the other days combined. How many bones did Khai eaton Thursday?Stuck? Review related articles/videos or use a hint.Report a problem

Answers

Let us attempt to solve the options to check which one will give the expression

[tex]5\times(2+4)\div6[/tex]

OPTION A:

If Hayden makes 2 bracelets before school and 4 after school daily, then the bracelets she makes daily is gotten by

[tex]2+4[/tex]

In 5 days, the number of bracelets will be the expression above multiplied by 5:

[tex]5\times(2+4)[/tex]

If she breaks the total bracelets into 6 groups, this means that we divide the expression above by 6:

[tex]5\times(2+4)\div6[/tex]

This tallies with the expression in the question.

Hence, OPTION A is correct.

A recipe that uses 1/2 pound of almonds makes 5/6 cup of almond butter. Which is a reasonable estimate for the amount of almond butter the recipe makes per pound of almonds?What amout of almond butter does the recipe make per pound of almonds?____ cup(s) of almond butter per pound of almonds

Answers

The given information is:

1/2 pound of almonds makes 5/6 of almond butter.

Since 1 pound is double of 1/2 pound, we will need to multiply the amount of almond butter by 2 to find the almond butter that 1 pound can make.

Multiply the amount of almond butter by 2:

[tex]2\times\frac{5}{6}[/tex]

The reason for this multiplication is that to find the amount of almond butter that 1 pound makes, we need double of what 1/2 can make.

Solving the multiplication:

[tex]2\times\frac{5}{6}=\frac{2\times5}{6}[/tex]

Since 2x5 is equal to 10:

[tex]2\times\frac{5}{6}=\frac{10}{6}[/tex]

1 pound of almonds makes 10/6 cups of almond butter.

Answer: 10/6 cups of almond butter per pound of almonds

With the enthusiasm for statistics at an all-time high, students were found sprinting from their vehicle to the classroom just to be the first person to grab a seat. The times of the students were recorded (in seconds) and given in the stemplot below.What is the 9th fastest time a student took to go from his/her vehicle to a seat in the classroom? Make sure to use labels and avoid the use of abbreviations

Answers

Answer:

The 9th fastest time is 28 seconds

Explanation:

We have been given a stem plot diagram of the time it took the students to grab a seat.

We need to find the 9th fastest time

To do this, we first need to list out the time in seconds:

13, 14, 15, 19, 19

21, 27, 27, 28

32

45, 49, 49

Since the right side is empty, there is no list of 50 plus

62, 62

combining the list (all in seconds):

13, 14, 15, 19, 19, 21, 27, 27, 28, 32, 45, 49, 49, 62, 62

The lower the number, the faster the time. Since the list is ordered in ascending order, we will count to the 9th place

The ninth place on the list = 28

The 9th fastest time a student took to go from his/her vehicle to a seat in the classroom is 28 seconds

At a flea market, used computer games are sold at the prices shown in the table below.Number of Games/Price ($)2/9.005/22.507/31.50Do the number of games and price form a proportional relationship?Choose the correct response.A.Yes. There is a constant of proportionality of $11.25.B.Yes. There is a constant of proportionality of $4.50.C.No. There is not a constant of proportionality.D.No. The slope is 4.5.

Answers

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where k is the constant of proportionality

where k is the constant of proportionality

so

Verify

Let

x -----> numb

Find out the value of k in each case

er of games

y ----> price

Find out the value of k in each case

For x=2, y=9

k=y/x

k=9/2=$4.5 per game

For x=5, y=22.50

k=22.5/5=$4.50 per game

For x=7, y=31.50, because the value ok is the smaamef K

k=31.50/7=$4.50 per game

that means

Yes , Irs a proportional relationship

the answer is the option B

Find a best-fit linear model for the following data:xy−3196−2139−1820251−322−893−146y = −57xy = 57xy = 57x + 25y = −57x + 25

Answers

Explanation

We are given a set of x and y values in the table

To compute the best-fit model for the data, we will use the graphing calculator

From the graph above, we have the function to be

[tex]y=-57x+25[/tex]

Thus, the answer is y= -57x +25

Which of the following would be the best equation for the function of the values for Janet’s reading?A) p = 6hB) p = 20hC) h = 20pD) 20 + p = h

Answers

In order to obtain the best equation for the function of the values for Janet’s reading, we will apply the equation of a straight line between two points.

The formula to calculate the equation of a line between two points is,

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let us now pick any two points from the table given

[tex]\begin{gathered} (x_1,y_1)=(1,20) \\ (x_2,y_2)=(6,120) \end{gathered}[/tex][tex]\begin{gathered} \text{where,} \\ p=y \\ h=x \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} \frac{y-20}{x-1}=\frac{120-20}{6-1} \\ \end{gathered}[/tex]

Simplify

[tex]\begin{gathered} \frac{y-20}{x-1}=\frac{100}{5} \\ \frac{y-20}{x-1}=20 \\ y-20=20(x-1) \\ y=20(x-1)+20=20x-20+20=20x \\ y=20x \\ \therefore p=20h \end{gathered}[/tex]

Hence, the answer is

[tex]p=20h\text{ (OPTION B)}[/tex]

Pressure (torr)Volume (mL)Which statement accurately represents the relationshipbetween pressure and volume ?75030O As pressure increases, volume increases.As pressure decreases, volume decreases.95022O As pressure increases, volume decreases.As pressure increases, volume stays constant.115019135015150013165010

Answers

The equation that describes the relationship between pressure and volume is

[tex]P=\frac{n\cdot R\cdot T}{V}[/tex]

As you can observe, the pressure and the volume are inversely proportional, which means, as pressure increases, volume decreases.

Therefore, the answer is As pressure increases, volume decreases.

Hello! I got -560 just want to confirm my answer. Thanks!

Answers

Explanation

We are given the following series:

[tex]12+4-4-12-20-...[/tex]

We are required to determine the sum of the first 14 terms of the given series.

This is achieved thus:

We know that the sum of n terms of a series is given as:

[tex]\begin{gathered} S_n=\frac{n}{2}[2a+(n-1)d] \\ where \\ a=first\text{ term} \\ d=common\text{ difference} \\ n=number\text{ of terms} \end{gathered}[/tex]

Therefore, we have:

[tex]\begin{gathered} S_n=\frac{n}{2}[2a+(n-1)d] \\ where \\ a=12 \\ d=4-12=-8 \\ n=14 \\ \\ \therefore S_{14}=\frac{14}{2}[2\cdot12+(14-1)-8] \\ S_{14}=7[24+(13)-8] \\ S_{14}=7(24-104) \\ S_{14}=7\cdot-80 \\ S_{14}=-560 \end{gathered}[/tex]

Hence, the answer is:

[tex]S_{14}=-560[/tex]

Use prime factorization to reduce each fraction 1. 22/165 2. 35/210

Answers

Lets find the prime factorization of 22, 165, 35 and 210. Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number.

The prime factorization of the number 22 is:

[tex]22=2\times11[/tex]

Similarly, for 165, 35 and 210 we have

[tex]\begin{gathered} 165=3\times5\times11 \\ 35=5\times7 \\ 210=2\times3\times5\times7 \end{gathered}[/tex]

Then, we can solve the given questions.

Question 1.

[tex]\frac{22}{165}=\frac{2\times11}{3\times5\times11}[/tex]

so we can cancel out the number 11 and get

[tex]\frac{22}{165}=\frac{2}{3\times5}=\frac{2}{15}[/tex]

Then, the answer is

[tex]\frac{2}{15}[/tex]

Question 2.

[tex]\frac{35}{210}=\frac{5\times7}{2\times3\times5\times7}[/tex]

and we can cancel out the number 5 and 7, then we obtain

[tex]\frac{35}{210}=\frac{1}{2\times3}[/tex]

then, the answer is

[tex]\frac{1}{6}[/tex]

Solve the equation x(x+6) = 91 using completing the square, finding the square root, and solving. Put the equivalent equations in the appropriate order. |x+3 = 10 7 x² + 6x = 91 x= 7 or x = -13 x² - 6x +9 = 91 +9 x + 3 = 10 or x + 3 = -10 (x+3)² = 100

Answers

Solution

Given the equation below:

[tex]x(x+6)=91[/tex]

Using the completing the square:

[tex]\begin{gathered} x(x+6)=91 \\ x^2+6x-91=0 \\ half\text{ the coefficient of x, square and add to both side} \\ x^2+6x=91 \\ x^2+6x+(3)^2=91+(3)^2 \\ (x+3)^2=91+9 \\ (x+3)^2=100 \end{gathered}[/tex]

Square root both side of the equation

[tex]\begin{gathered} (x+3)^2=100 \\ \sqrt{(x+3)^2}=\pm\sqrt{100} \\ x+3=\pm10 \\ x=\pm10-3 \\ x=7,x=-13 \end{gathered}[/tex]

Therefore the equivalent equations in the appropriate order is

which statement is true?6 is 4 times as many as 26 is 3 times as many as 26 is 2 times as many as 26 is 12 times as many as 2

Answers

6 is 3 times as many as 2, because:

[tex]\begin{gathered} 6=3+2 \\ 6=3+3 \end{gathered}[/tex]

I am confused. Please help. Give answer options and simple explanation. Thanks!

Answers

Given the functions

[tex]\begin{gathered} f(x)=2x^2+4x-5 \\ g(x)=6x^3-2x^2+3 \end{gathered}[/tex][tex]\begin{gathered} (f-g)(x)=f(x)-g(x) \\ =2x^2+4x-5-(6x^3-2x^2+3) \\ =2x^2+4x-5-6x^3+2x^2-3 \\ =-6x^3+2x^2+2x^2+4x-5-3 \\ =-6x^3+4x^2+4x-8 \end{gathered}[/tex]

The final answer is OPTION C

I need help with a graph problem please that I am stuck on.

Answers

Solution:

First we have to derive the equation of the graph plot.

The general equation of an absolute value function is expressed as

[tex]\begin{gathered} y=a|x-h|+k\text{ --- equation 1} \\ \text{where} \\ (h,k)\text{ is the coordinate of the vertex of the function } \end{gathered}[/tex]

step 1: Determine the coordinates (h,k) of the vertex of the graph.

The vertex of the function is the point at which the graph changes direction.

In tha above plot, the vertex of the plot is (-3,4).

Thus,

[tex]\begin{gathered} h=-3 \\ k=4 \end{gathered}[/tex]

step 2: Substitute the respective values of -3 and 4 for h and k into equation 1.

Thus,

[tex]\begin{gathered} y=a|x-h|+k \\ \Rightarrow y=a|x-(-3)|+4\text{ ---- equation 2} \\ \end{gathered}[/tex]

step 3: Select any point (x,y) on the graph plot, to evaluate a.

Thus, using the point (1,0), we have

[tex]\begin{gathered} y=a|x+3|+4 \\ x=1,\text{ y=0} \\ \Rightarrow0=a|1+3|+4 \\ -4=|4|a \\ \Rightarrow a=-1 \end{gathered}[/tex]

step 4: Substitute the obatined value of a into equation 2.

Thus,

[tex]y=-|x+3|+4\text{ ----- equation 3}[/tex]

Thus, the equatioin of the graph is evaluated to be

[tex]y=-|x+3|+4[/tex]

A) Evaluate f(4).

To evaluate f(4), substitute the value of 4 for x into the derived equation.

Thus,

[tex]\begin{gathered} y=-|x+3|+4 \\ x=4 \\ \Rightarrow y=-|4+3|+4 \\ \therefore y=-3 \end{gathered}[/tex][tex]f(4)=-3[/tex]

B) Solve for f(x)=2.

To solve, we have

[tex]\begin{gathered} -|x+3|+4=2 \\ \text{subtract 4 from both sides of the equation} \\ -|x+3|+4-4=2-4 \\ -|x+3|=-2 \\ \text{divide both sides by -1} \\ \frac{-|x+3|}{-1}=-\frac{2}{-1} \\ \Rightarrow|x+3|=2 \\ \text{When }x+3=-2 \\ x=-2-3 \\ \Rightarrow x=-5 \\ \text{when }x+3=2 \\ x=2-3 \\ \Rightarrow x=-1 \end{gathered}[/tex]

Thus, we have

[tex]x=-5;-1[/tex]

Factor completely 6x^2 -7x-20

Answers

Solution:

Given the expression;

[tex]6x^2-7x-20[/tex][tex]\begin{gathered} 6x^2-7x-20=6x^2-15x+8x-20 \\ \\ 6x^2-7x-20=3x(2x-5)+4(2x-5) \\ \\ 6x^2-7x-20=(2x-5)(3x+4) \end{gathered}[/tex]

FINAL ANSWER:

[tex]\begin{equation*} (2x-5)(3x+4) \end{equation*}[/tex]

I need help with a math homework0.25kg=______g

Answers

We know that 1 kilogram is equivalent to 1,000 grams. This our conversion factor, knowing this, we transform 0.25 kg.

[tex]0.25\operatorname{kg}\cdot\frac{1,000gr}{1\operatorname{kg}}=250gr[/tex]Therefore, the answer is 250 grams.

Celine is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 12-sided die labeled with the numbers 1 through 12. How many outcomes are in the sample space for pulling a marble out of the box and rolling the die?4832168

Answers

Multiply the number of possible outcomes of pulling a marble out times the number of possible outcomes o rolling the die to find the total amount of outcomes in the sample space.

There are 4 different possibilities of pulling a marble out of a box: white, green, blue and orange. Since the die has 12 outcomes, then the total amount of outcomes in the sample space is:

[tex]4\times12=48[/tex]

suppose they are a T V cost in an election between three Canadians then who is Garza and we see to be decided by polarity of the first 55 votes are counted the Titleist are as followed

Answers

a) We have the votes for 55 people out of 80.

We have to find the minimum number of votes needed by Donahue to be sure that he will win the election.

There are 80 - 55 = 25 votes remaining.

Donahue has 24 votes already. The second candidate in number of votes has 18 votes, which is a difference of 6 votes.

We can think of a situation where the remaining votes are given to this two candidates and both have the same votes.

This would mean an amount of 24 + 18 + 25 = 67 votes.

Then, they won't have the same votes but we can think of Donahue having 67/2 = 33.5 ≈ 34 votes, and Garza having 33.

Then, this is the most extreme situation where Donahue wins by one vote.

We can then calculate the difference of votes he needs as 34 - 24 = 10 votes.

b) We can think again the same situation, but with Garza having 34 votes and Donahue having 33 votes.

This the extreme situation where Garza wins by the minimum difference.

Then, Garza would have to add 34 - 18 = 16 votes at least to win in this situation.

Answer:

a) Donahue needs 10 more votes to be sure he wins the election.

b) Garza needs at least 16 votes to be sure he wins the election.

At Fry's supermarket, each 12-1b bag of apples costs $4. Write an equation to represent the relationship between the number of pounds of apples, p, and cost, c I

Answers

if a 12 lb bag costs $4, then a 1 lb bag costs $4/12, which is equal to $1/3 dollars, so if we let p be the number of pounds that we are going to buy and c the amount that we must pay

[tex]c=\frac{1}{3}p[/tex]

that is the relation between c and p

An ostrich ran 4,200 meters to the west at a constant velocity. it ran that distance in 1,200 seconds. what was it's velocity?

Answers

distance : 4,200 meters

time : 1,200 seconds

To find the velocity we have to apply the next formula:

Velocity = Distance / time

Replacing with the values given:

Velocity = 4,200 m / 1,200 sec = 3.5 meters per second

Velocity = 3.5 m/sec

Can you please help me out with a question

Answers

To find the point S we first need to find the equation of the circle which is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k) is the center and r is the radius.

In this case we don't have the radius but we know that the radius is the distance between the center and any point on the circle, then the radius is equal to the distance:

[tex]\begin{gathered} r=d(A,R)=\sqrt[]{(5-3)^2+(4-(-1))^2} \\ =\sqrt[]{4+25} \\ =\sqrt[]{29} \end{gathered}[/tex]

hence the equation of the circle is:

[tex](x-3)^2+(y+1)^2=29[/tex]

Now that we have this equation we need to determine which of the options given fullfil the equation. From the options given we conclude that the only point that fullfils the equation is the point D, this come from the fact that:

[tex]\begin{gathered} (1-3)^2+(-6+1)^2=29 \\ 4+25=29 \\ 29=29 \end{gathered}[/tex]

Therefore this point is in the circle. Therefore we conclude that the coordinates of point D are (1,-6) and the answer is D.

This can be seen in the graph below:

The markings on the number line are evently spaced. Label the other markings on the number line. + + А B C -30 0 F 45 A= B = C = D = E = F=can someone please tell me the answers

Answers

The points are evenly spaced at a distance of 15 units between each other, then when we go to the right side of the graph from 0 we increase 15 units until we reach the point E, 15 units further we get to the point F, then we have the following labels:

E = 15

F = 15 + 15 = 30

As we got the left side from 0, we subtract 15 units for each marking, then we get:

D = 0 -15 = -15

C = -30 -15 = -45

B = -45 - 15 = -60

A = -60 - 15

9) 59 is 93 percent of what?

Answers

93 Let the unknown number be X,

( 59/ X ) = 93 /100

Cross - multiply,

59 x 100 = 93 x x

x = ( 59 x100) divided by 93

x= 5900 / 93

x = 63.44 _

Answer:

Step-by-step explanation:

59 = 93%(X)

59 = 93/100*(x)

59*100 = 93(x)

5900/93 = x

63.44 = x

Hence 59 is 93 percent of 63.44

During a job interview, Pam Thompson is offered a salary of $32,000. The company gives annual raises a 4%. What will be Pam’s salary during her fifth year on the job? (Round time value factor to three decimal places and final answer to the nearest whole number.)

Answers

We will have the following:

First, we construct the equation that describes the scenario:

[tex]P(x)=32000(1+0.04)^x[/tex]

Now, we will determine her salary at the 5th year at her job:

[tex]P(x)=32000(1+0.04)^5\Rightarrow P(5)=38932.89288[/tex][tex]\Rightarrow P(5)\approx38932.893[/tex]

So, her salary after 5 years would be approximately $38933.

Find bc if your answer is not an integer, leave it in simplest radical form

Answers

Hello!

We know that this is a right triangle and the angle C is 45º.

Knowing it, we have:

Considering the information above, we must use the sine of 45º to calculate the value of side BC, look:

[tex]\sin(45\degree)=\frac{\mathrm{opposite}}{\mathrm{hypotenuse}}[/tex]

As we know, the sine of 45º is:

[tex]\sin(45)=\frac{\sqrt{2}}{2}[/tex]

Let's replace all the values in the formula:

[tex]\begin{gathered} \sin(45\operatorname{\degree})=\frac{\mathrm{oppos\imaginaryI te}}{\mathrm{hypotenuse}} \\ \\ \dfrac{\sqrt{2}}{2}=\frac{10}{\mathrm{BC}} \\ \\ \mathrm{BC}\sqrt{2}=10\cdot2 \\ \mathrm{BC}\sqrt{2}=20 \\ BC=\frac{20}{\sqrt{2}} \\ \\ BC=\frac{20\cdot\sqrt{2}}{\sqrt{2}\cdot\sqrt{2}}=\frac{20\sqrt{2}}{\sqrt{4}}=\frac{20\sqrt{2}}{2}=\boxed{10\sqrt{2}\text{ ft}} \end{gathered}[/tex]

Answer:

Alternative B.

Can you please throughly explain this question. I don't get it.

Answers

In graphing y > 2x - 7, a dashed line is used.

Answer: True

Explanation

Whenever we graph > or < , the boundary line is not inclusive of the range of solutions. Hence, we use a dashed line on the boundary.

On the other hand, whenever we have the inequality <= or >= , the

answer: true

explanation: my teacher just did it

Given the following graph of f (x), what is f (4)?
*graph included*

Answers

When function of x is the line on the graph with the equation function of x =-3/2x+1, the value of f(4) is -5.

Given that,

In the picture we have graph with a line function of x.

We have to find what is the value of f(4).

By seeing the graph,

We have points (-2,4) and (-4,7)

We must determine the line's equation.

That is y=mx+b

Slope of the line m is rise/run

m=7-4/-4-(-2)

m=3/-2

m=-3/2

Now,

4=-3/2(-2)+b

4=3+b

b=4-3

b=1

The equation of the line is y=-3/2x+1

We can write as function of x =-3/2x+1

Then Take x=4

f(4)=-3/2(4)+1

f(4)=-6+1

f(4)=-5

Therefore, The value of f(4) is -5 when the function of x is the line on graph that is function of x =-3/2x+1.

To learn more about line visit: https://brainly.com/question/17188072

#SPJ9

An angle measures 83∘. Find a. its supplement and b. its complement.

Answers

Let

A = Angle (83°)

S = Supplement of A

C = Complement of A.

1) Finding the Supplement of A.

Supplementary angles are the angles whose sum is equal to 180°.

Then,

A + S = 180

Substituting A, we can find S.

83 + S = 180

S = 180 - 83

S = 97°

2) Finding the Complement of A.

Complementary angles are the angles whose sum is equal to 90°.

Then,

A + C = 90

83 + C = 90

C = 90 - 83

C = 7 °C.

Answer:

Supplement = 97 °C

Complement = 7 °C

2 by 6 rectangle is inscribed in circle 5 by 6 rectangle is inscribed in circle 2 by 15 rectangle is inscribed in circle 1 by 12 rectangle is inscribed in circle what is the circumference?

Answers

21:51

it seems that your questions has multiple questions in it. Unfortunately, the tutoring app is meant to answer only one problem per session. So, I encourage you to start another session with your the remainder of the questionsk, so one of my colleague can help you out.

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Consider an airless, non-rotating planet of mass M and radius R. and electromagnetic launcher standing on the surface of this planet shoots a projectile with initial velocity v0 directed straight up. Unfortunately, due to some error, v0 is less than the planet's escape velocity ve; specifically, v0 = 0.762ve. Unable to escape the planet's gravitational pull, the projectile rises to a maximal height h above the ground, then falls back to the ground. Calculate the ratio h/R of the projectile's maximum height to the planet's radius. 10 Students share 1 hour to give their science reports Allen is choosing a 2 letter password from the letters ABCD. the password cannot be the same letter repeated in it .how many such passwords are possible? a baseball diamond is a square with side 90 ft. a batter hits the ball and runs toward first base with a speed of 29 ft/s. (a) at what rate is his distance from second base decreasing when he is halfway to first base? (round your answer to one decimal place.) For a winter-themed Valentine's Day party, Mr. Rivera made 12 cups of hot chocolate. Does he have enough hot chocolate to give 26 kids 1/2 of a cup each? A restaurant that faces increasing taxes and passes most or all of its tax burden to their consumers is anexample of g(2) = type your answer...g(x) = 3, x = type your answer...g(0) = type your answer...Write the rule for g(x): g(x) = type your a)^xL 2) If a number is multiplied by seven, and the product is increased by two, the result is one hundred. Find the number. In Worcester v. Georgia, the Supreme Court ruled that:OA. Indigenous peoples were only subject to state government laws,and this resulted in the Indian Removal Act of 1830.OB. the Seminole peoples were an independent nation and the SecondSeminole War had been an illegal military action.C. Indigenous peoples were independent nations and as such,needed to relocate outside of the United States.OD. the Cherokee peoples were an independent nation and were notsubject to state or federal laws. Need help with this exercise. Its from a review the real test is next week need more explanation so I already know what to do on the test. Lola has a two-year lease that requires her to pay $295 rent per month.What is the total amount she will pay for rent during the term of herlease?a. $3,540b. $8,850c. $885d. $7,080 -7.9 cm 26.2 cm 6.2 cm 19.1 cm 2.8 cm The perimeter of the figure is (Type a whole number or a decal.) . If you start with 500g of water in your pot, and after it boils away, the steam takes up 2 m3 of space, what is the density of the steam in g/m3? Hello am I correct, if not can you help me understand? Which element of a poem is MOST likely to touch a reader first? A. theme B. message C. lyrics D. rhythm a patient authorizes a son to make medical decisions and brings the completed forms for the nurse to place on the chart. what form does the nurse understand this is? Food must be broken down into________before it can pass into the bloodstream.O A. MoleculesO B. ProteinsO C. AtomsO D. Liquids A simple subject is the main word in the complete subject. Hey help I need help with this questionthe question to this question is below is a graph of a logarithmic function, identify it key characteristics. match accordingly what is one significant limitation of using punishment? a. reinforces the behavior of the punisher b. results in reactivity c. resurgence of behavior after the punitive consequence is removed d. all of the above