Please help!Which equation best represents the relationship between x and y in the graph?A. y = -3/4x - 3B. y = -4/3x - 3C. y = -3/4x - 4D. y = -4/3x - 4
Answers
Recall that the equation of a line in slope-intercept form is given by
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept of the line.
The y-intercept is the point where the line intersects the y-axis.
From the graph, we can see that the line intersects the y-axis at y = -3
So, the y-intercept is -3
The slope of the line is given by
[tex]m=\frac{\text{rise}}{\text{run}}=\frac{-3}{4}[/tex]The rise is the vertical distance between the two points on the line.
The run is the horizontal distance between the two points on the line.
So, the equation of the line is
[tex]y=-\frac{3}{4}x-3[/tex]Therefore, option A is the correct answer.
Related Questions
Need help with #3, also might not respond very quick. Please don’t end session if I don’t!!
Answers
from the question,
if it takes the rate of 2 seats in 11 minutes
then we will we will set up a proportion to show how many minutes it will take at the rate of 1 seat.
so if,
so lets make the munites to make 1 seat be x
2 seats = 11 minutes
1 seat = x
lets cross multiply
2 X x = 11 X 1
2x = 11
divide both sides by 2
2x/2 = 11/2
x = 5.5 minutes
so i will take 5.5 minutes to make 1 seat.
The radius of circle O (not shown) is 4, and the radian measure of central angle AOB is between 3pi/4 and 5pi/4. which could be the length of arc AB?
Answers
SOLUTION
Write out the formula for the length of an arc
[tex]\begin{gathered} \text{length of Arc=}\theta\times r \\ \text{Where }\theta\text{ is in radians } \\ r=4 \end{gathered}[/tex]Angle given is between
[tex]\frac{3\pi}{4}\text{ and }\frac{\text{5}\pi}{4}[/tex]Substitute each of the value for Θ in the formula above
[tex]\begin{gathered} \text{When }\theta=\frac{3\pi}{4} \\ \text{Then} \\ \text{Length of Arc=}\theta\times r=\frac{3\pi}{4}\times4=3\pi \end{gathered}[/tex]Also
[tex]\begin{gathered} \text{when }\theta=\frac{5\pi}{4} \\ \text{Then} \\ \text{Length of Arc=}\frac{5\pi}{4}\times4=5\pi \end{gathered}[/tex]Hence
The length of the Arc is between
[tex]\begin{gathered} 5\pi\text{ } \\ \text{and } \\ 3\pi \end{gathered}[/tex]Therefore
The length of the Arc AB could be 4π
Answer :Option B
Farmer Ed has 2,000 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed?
Answers
500,000cm²
Explanations:
The formula for calculating the perimeter of the fence is expressed as:
[tex]P=2(l+w)[/tex]where:
• L is the ,length, of the fencing
,• W is the ,width ,of the fencing
If Farmer Ed does not fence the side along the river, the perimeter of the river will become;
[tex]\begin{gathered} P=l+2w \\ 2000=l+2w \\ l=2000-2w \end{gathered}[/tex]The area of the rectangular plot will be expressed as:
[tex]A=lw[/tex]Substitute the expression for the length into the area to have:
[tex]\begin{gathered} A=w(2000-2w) \\ A=2000w-2w^2 \end{gathered}[/tex]If the area of the plot is maximized, then dA/dw = 0. Taking the derivative will give:
[tex]\begin{gathered} \frac{dA}{dw}=0 \\ 2000-4w=0 \\ 4w=2000 \\ w=\frac{2000}{4} \\ w=500m \end{gathered}[/tex]Calculate the length of the plot. Recall that:
[tex]\begin{gathered} l=2000-2w \\ l=2000-2(500) \\ l=2000-1000 \\ l=1000m \end{gathered}[/tex]Determine the largest area that can be enclosed
[tex]\begin{gathered} A=lw \\ A=500m\times1000m \\ A=500,000m^2 \end{gathered}[/tex]Hence the largest area that can be enclosed is 500,000cm²
A student solved the equation sin2x/cos x and found an answer of pi/2 Describe the student's error
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To find:
To determine whether the x = pi/2 is the answer of the equation
[tex]\frac{\sin2x}{\cos x}=2[/tex]Solution:
The solution of the equation is as follows:
[tex]\begin{gathered} \frac{\sin2x}{\cos x}=2 \\ \frac{2\sin x\cos x}{\cos x}=2 \\ \sin x=1 \\ x=\frac{\pi}{2} \end{gathered}[/tex]But at x = pi/2, the denominator of the function is zero, so, the function is not defined at x = pi/2.
Thus, the answer is "The function is not defined at x = pi/2. So, it is not the answer to the equation."
2 numbers whose product is -84 and whose sum is -17
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Solution
- We are asked to find two numbers with a product of -84 and a sum of -17.
- Let the two numbers be x and y.
- We can form equations using the above statement. These equations are formed below
[tex]\begin{gathered} x\times y=-84 \\ xy=-84\text{ (Equation 1)} \\ \\ x+y=-17\text{ (Equation 2)} \end{gathered}[/tex]- Now that we have the two equations, we can proceed to solve them simultaneously.
- This is done using substitution as shown below
[tex]undefined[/tex]Three slices of cheese pizza and four slices of pepperoni pizza cost $12.50. Twoslices of cheese pizza and one slice of pepperoni pizza cost $5.00. What is the priceof one slice of pepperoni pizza?
Answers
Price of one slice = ?
Then write
3X + 4Y = 12.50
2X + 1Y = 5.00
Then now find Y
Multiply by 4, and substract 2X + Y = 5
4• ( 2X + Y ) = 4• 5.00
8X + 4Y = 20
now substract 3X + 4Y = 12.5
(8X + 4Y)- ( 3X + 4Y) = 20 - 12.5
(8X - 3X )+ 4Y - 4Y = 7.5
5X + 0 = 7.5
. X = 7.5/5 = 1+ 1/2 = 1.5
Then ANSWER IS
Price of 1 slice of pepperoni = $1.5 dollars
At a coffee shop, the first 100customers' orders were as follows.SmallMediumLargeHot54822Cold8125What is the probability that a customerordered a small given that he or sheordered a hot drink?P(Small | Hot ) = [?]Round to the nearest hundredth.
Answers
Explanation
The probability of P(Small | Hot ) is easily observable from the table. This is given as
[tex]\begin{gathered} P(Small|Hot)=\frac{5}{5+48+22}= \\ =\frac{5}{75} \\ =0.07 \end{gathered}[/tex]The final answer is 0.07
2) y = x + 3 + 3 A) Domain: x 2-3 Range: y = 3 B) Domain: x 2-3 Range: y s3 C) Domain: x 2 3 Range: y 2-3 D) Domain: x 2-3 Range: y 2-3
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Domain : Domain of a function is the set of input values for which the function is real and defined.
Given function is :
[tex]y=\sqrt[]{x+3}+3[/tex]Since if x less than - 3 then the square root will be into the form of complex number i,
So x ≥ -3
So Domain will be : x ≥ -3
Interval notation : [ -3, infinity)
Range : Range is the set of all the output values of the function :
The range of the funtion is:
[tex]f(x)\ge3[/tex]Intervale notation : [3, infinity)
Domain = x ≥ -3, [-3, inifinity)
Range : f(x)≥3, Interval notation [ 3, infinity)
Answer : A)
Domain x ≥- 3
Range y ≥ 3
Please help :( It’s my study guide for my upcoming test
Answers
Let x the number of quartes and y the number of nickels
So (1) x + y = 47
Solve for x
x = 47 - y
Then .25x +.05 =4.95
It is better if you multiply both sides by 100 to get rid of the decimal
100(.25x +.05) = 100(4.95)
(2) 25x + 5y = 495
Replace the first x value in the second equation
(2) 25x + 5y = 495
25(47 - y ) + 5y = 495
Then solve the equation for y
1175 - 25y + 5y = 495
-25y + 5y = 495 - 1175
-20y = -680
y = -680/ -20
y = 34 nickels
Replace this y value in the x equation
x = 47 - y
x = 47 - 34
x = 13 quarters
6). A movie theater sold twenty-five tickets on Saturday and five tickets on Thursday. They soldhow many times as many tickets on Saturday as they sold on Thursday?
Answers
A movie theater sold 25 tickets on Saturday and 5 tickets on Thursday.
If we compare 25 and 5, we can see that,
[tex]25=5\cdot5[/tex]In other words, they sold 5 more times on Saturday than on Thursday
Bev got six dollars from her mom and four from her dad. she wants to buy a game that cost 18 dollars how many more she needs
Answers
Answer
Bev needs 8 dollars more to buy her game.
Explanation
Let the amount of dollars that Bev needs be x dollars
She needs 18 dollars
She gets 6 dollars from her mom
And 4 dollars from her dad
Mathematically,
(Amount that she has currently) + (Amount that she needs) = 18
Amount that she has currently = 6 + 4 = 10 dollars
Amount that she needs = x dollars
(Amount that she has currently) + (Amount that she needs) = 18
10 + x = 18
Subtract 10 from both sides
10 + x - 10 = 18 - 10
x = 8 dollars
Hope this Helps!!!
Identify the diameter of⊙Q, given that A=169π2please help
Answers
Solution:
Given that the area of circle Q is;
[tex]A=169\pi in^2[/tex]Also, the general formula is;
[tex]\begin{gathered} A=\pi r^2 \\ \\ \text{ Where }r=radius \end{gathered}[/tex]Thus, the radius, r, of the circle is;
[tex]\begin{gathered} 169\pi=\pi r^2 \\ \\ r^2=169 \\ \\ r=\sqrt{169} \\ \\ r=13in \end{gathered}[/tex]Thus, the diameter, d, is;
[tex]\begin{gathered} d=2r \\ \\ d=2(13in) \\ \\ d=26in \end{gathered}[/tex]ANSWER: The diameter of the circle is 26in
I am in 9th grade learning Algebra 1 and I need help to understand it. Can you please help me?
Answers
1) Considering that we have the statement "A number and -5 has a result of 2".
2) We can rewrite it as a Linear Equation, calling this number by x we can write it out:
[tex]x-5=2[/tex]Then we have a One step equation. The first thing to do is to isolate the x variable on the left side. So let's manipulate this equation by adding 5 to both sides:
[tex]\begin{gathered} x-5=2 \\ x-5{\textcolor{blue}{+5}}=2{\textcolor{blue}{+5}} \\ x+0=7 \\ x=7 \end{gathered}[/tex]By adding 5 to the left side we get rid of that -5 on the left side, and since it is an equality, we have to add 5 to the right side as well
3) Hence, to solve Step equations we need to manipulate the equation to isolate the variable on one side.
Suppose that three geological study areas are set up on a map at points please check photo
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So we must find the center of the earthquake. We have three points and we know the distances from each of these points to the earthquake. In order to find the center we just need to make three circles, each centered in one of the three points and its radius must be the distance to the center of the earthquake. If we do this correctly then the three circles will meet in a given point D which is the center of the earthquake.
In order to draw a circle using the tool given by the question you'll need its center and a point in the circumference. So let's construct each of the circles:
First we have point A=(-15,2) which is at a distance of 13mi from the earthquake. So we must construct a circle centered around A with a radius of 13 units. Any point at a distance of 13 units from A will be useful, for example a point that has a horizontal distance of 13 units from A. We'll name this point E and we have:
[tex]E=(-15+13,2)=(-2,2)[/tex]So the first circle is the one that passes through (-2,2) and is centered around (-15,2).
Now we repeat this process with the other circles. We have B=(-11,1) and its distance to the earthquake is 10 miles so we can add 10 to its x-value to find a point that is at a distance of 10 units from it:
[tex]F=(-11+10,1)=(-1,1)[/tex]So this circle is centered around (-11,1) and it passes through (-1,1).
For the third circle we have C=(-6,3) and its distance to the earthquake is 5 miles. Then a point located at 5 miles from C could be:
[tex]G=(-6+5,3)=(-1,3)[/tex]So the third circle is centered around (-6,3) and passes through (-1,3).
With all this information we can graph the three circles:
As you can see these three circles intercept each other at (-3,7). Then the earth quake is located at (-3,7).
AnswerThe graphs are displayed in the picture above. The center of the earthquake is located at (-3,7).
*16. What is the leading coefficient of the polynomial function f(x) = 9-2x + 6x² + 5x³?A. 9 B. 3 C. 5 D. 4
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ANSWER :
C. 5
EXPLANATION :
The Leading coefficient is the coefficient of the leading term.
The leading term is the term with the highest degree.
From the problem, we have the polynomial :
[tex]f(x)=9-2x+6x^2+5x^3[/tex]The term with the highest degree is 5x^3
Therefore, the leading coefficient is 5
In the diagram, GH bisects ZFGI.Solve for x and find mZFGH,b. Find mZHGL.Find mZFGI.a. X(Simplify your answer.)
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As shown in the diagram:
GH bisects the angle FGI
So, the measure of the angle FGH = measure of the angle HGI
so,
2x - 9 = 3x - 28
solve for x
2x - 3x = -28 + 9
-x = -19
x = 19
So, mand m
Simplify:(2+i)-(2+3i)
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Answer:
-2i
Explanation:
Given the expression:
[tex]\mleft(2+i\mright)-\mleft(2+3i\mright)[/tex]To simplify, first, we remove the brackets.
[tex]=2+i-2-3i[/tex]Next, we collect like terms and simplify.
[tex]\begin{gathered} =2-2+i-3i \\ =-2i \end{gathered}[/tex]
order for least to greatest 93.389 0.28 0.0043 0.002 30.59 1.49
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From least to greatest, we have
0.002 0.0043 0.28 1.49 30.59 93.389
4. Solve for the variable in the following proportion: 36/c = 45/10
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We need to solve for "c"in the proportion:
36/c = 45/10
so we cross multiply:
36 * 10 = 45 * c
operate
360 = 45 * c
divide by 45 on both sides to isolate "c"
360 / 45 = c
c = 8
Can you please help me answer the question?
Answers
We have the equation:
[tex]48h-6=426[/tex]Then solve for h:
[tex]\begin{gathered} 48h-6+6=426+6 \\ 48h=432 \\ \frac{48h}{48}=\frac{432}{48} \\ h=9 \end{gathered}[/tex]Answer: B. 9 feet
Solve the system of equations by any method. -2x + 8y = 14 x – 4y= -7
Answers
-2x+8y = 14 (a)
x-4y = -7 (b)
Multiply (b) by 2 and add both equations:
-2x + 8y = 14
2x -8y = -14
___________
0 = 0
Since both variables were eliminated there is an infinite number of solutions.
Given the rectangle above, what is a possible representation of the area?
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The area of a rectangle is it's width multiplied by it's length.
For this rectangle, it's lenght is:
[tex]L=x+5[/tex]And it's width is
[tex]W=x[/tex]When you multiply both of them you get the area A:
[tex]A=L\cdot W=(x+5)\cdot x[/tex]It can also be writen as:
[tex]A=x^2+5x[/tex]if g(y) = 5, then solve for g(-1)
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We have the following:
[tex]undefined[/tex]How many ways can a person toss a coin 14 times so that the number of heads is between 6 and 9 inclusive?
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How many ways can a person toss a coin 14 times so that the number of heads is between 6 and 9 inclusive?
the formula of combination is equal to
[tex]\text{nCr}=\frac{n!}{r!(n-r)!}[/tex]For r between 6 and 9
For r=6
n=14
substitute
[tex]14\text{C6}=\frac{14!}{6!(14-6)!}=\frac{14!}{6!(8)!}=\frac{14\cdot13\cdot12\cdot11\cdot10\cdot9}{6\cdot5\cdot4\cdot3\cdot2\cdot1}[/tex]14C6=3,003
For r=7
n=14
substitute
[tex]14\text{C7}=\frac{14!}{7!(14-7)!}=\frac{14!}{7!(7)!}=\frac{14\cdot13\cdot12\cdot11\cdot10\cdot9\cdot8}{7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}[/tex]14C7=3,432
For r=8
n=14
substitute
[tex]14\text{C8}=\frac{14!}{8!(14-8)!}=\frac{14!}{8!(6)!}=\frac{14\cdot13\cdot12\cdot11\cdot10\cdot9}{6\cdot5\cdot4\cdot3\cdot2\cdot1}[/tex]14C8=3,003
For r=9
n=14
substitute
[tex]14\text{C9}=\frac{14!}{9!(14-9)!}=\frac{14!}{9!(5)!}=\frac{14\cdot13\cdot12\cdot11\cdot10}{5\cdot4\cdot3\cdot2\cdot1}[/tex]14C9=2,002
adds the combinations
3,003+3,432+3,003+2,002=11,440
11,440 waysi wasn’t sure what the real answer was i did l x w and got 168
Answers
Solution
The area of the parallelogram is
[tex]\begin{gathered} A=bh \\ A=21\times8 \\ A=168in^2 \end{gathered}[/tex]Therefore the area of the figure = 168in²
I dont know how to do number 18 on my homework
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Beth walked 3 blocks in 15 minutes.
Then, we have that:
[tex]\frac{3}{15}\cdot\frac{3}{3}=\frac{9}{45}[/tex]We have that multiplying the rate (ratio) by the same number in the numerator and in the denominator, we will have equivalent fractions (and the same ratio).
Option a is true. We have the result above.
Then, for option b, we cannot obtain an equivalent fraction. It is false.
For option c, we have the same as for option b. It is false.
For option d:
[tex]\frac{3}{15}\cdot\frac{4}{4}=\frac{12}{60}[/tex]Then, option d is true.
6(k-8)=96k=?help please!
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answer: k = 24
Write the slope-intercept form of the eqı 1) Slope = -7, y-intercept = -4
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We want to write the slope-intercept form of
Simplify the expression, if possible. Write the answer without negative exponents. (If the solution is not a real number, enter NOT REAL.)(-216) 1/3
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The simplified expression without using negative exponents is -6 .
The given expression is of the form [tex](-216)^{\frac{1}{3}}[/tex] .
this can be written using the radical sign as ∛(-216)
Now we know that the cube root of a negative number is always a negative number .
using the properties of exponents we can write
∛(-216) = ∛(-1) × ∛216
now we know that ∛(-1) = -1 as -1³ = -1 and ∛216 = 6
Exponents are a way to show sudden increases in power. So to speak, the exponent is the amount of times a number has been multiplied by itself.
The exponent determines how many times a number is multiplied by itself, as was shown above. The mathematical notion known as the power serves as an example of the recurring multiple of the same integer or factor.
Therefore the simplified expression is -6.
To learn more about exponents visit:
https://brainly.com/question/15993626
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What is the slope of the line that passes through points (0, 7) and (−3, 0)?A.–7/3B.7/3C.–3/7D.3/7
Answers
Given:
Two points are (0,7) and (-3,0).
To find the slope of the line:
Using the slope formula,
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{0-7}{-3-0} \\ =\frac{-7}{-3} \\ =\frac{7}{3} \end{gathered}[/tex]Hence, the slope is,
[tex]m=\frac{7}{3}[/tex]Therefore, the correct option is B.