The given expression is
[tex]-2x^8+3x^2-x+11[/tex]Terms are the expressions separated by negative or positive signs. In this case, there are 4 terms.
Coefficients are the number multiplying the variable. IN this case, the coefficients are -2, 3, and -1.
The variable is just x because it's the only letter present in the expression.
The powers are x'8 and x'2.
Which order pair can be plotted together with these four points, so that the resulting graph still represents a function.
The ordered pair that can be plotted together with these four points is
(0, 3).
Option C is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The following coordinates are from the graph.
(3, -1), (2, 3), ), (-4, 2), and (-2, -3)
We know that,
A function can have many-to-one but not one-to-many.
So,
We can not have (-2, 0), (-2, 3). and (3, 0) because we already have (-2, 3) and (3, -1).
This is an indication of a one-to-many function that is not possible.
(0, 3) is possible.
Thus,
The ordered pair that can be plotted together with these four points is
(0, 3).
Option C is the correct answer.
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This was the answer I got but I am not sure it it is correct.
To find JL
We will first find the value of x
JK = KL
2(x+6) = 3x + 8
2x + 12 = 3x+ 8
subtract 2x from both-side of the equation
12 = 3x-2x + 8
12 = x+ 8
subtract 8 from both-side of the equation
12 - 8 = x+ 8 - 8
4 = x
x=4
JK = 2(x+ 6)
substitute x = 4 into the above
JK = 2(4+6)
JK=2(10)
JK=20
KL =3x+8
substitute x=4 into the above
KL = 3(4) + 8
KL = 12 + 8
KL=20
JL = JK + KL
= 20 + 20
= 40
JL = 40 units
translate the sentence into an equation five time the sum of a number and 8 is equal to 4 use the variable b for the unknown number
Let us take the unknown number as b.
Sum of the number and 8 can be represented as,
8 + b
Therefore, five time the sum is,
5(8+b)
This is equal to 4, so,
5 (8 +b) = 4
This is the required equation.
The number is,
[tex]\begin{gathered} 5(8+b)=4 \\ 40+5b=4 \\ 5b=4-40 \\ 5b=-36 \\ b=-7.2 \end{gathered}[/tex]The number is, -7.2.
PLEASE HELP ME WHAT IS. THIS X^2+5x+4
Answer: (x+1)(x+4) is the solution
Step-by-step explanation:
Use the sum-product pattern
Common factor from the two pairs
Rewrite in factored form
Answer:
(x+1)(x+4)
Step-by-step explanation:
x²+5x+4
x²+4x+x+4
x(x+4)+1(x+4)
(x+1)(x+4)
please help me its due soon and I don’t get it!!
Answer:
Step-by-step explanation:
These are tough, so picture a line ( graph) going up the picture.
I'm attaching my graph
M = 10*R
each raffle ticket cost 10 bucks
What is 4 1/4 - 2 1/2
Answer:
=1 and 3 over 41
=1.75
Step-by-step explanation:
At a certain school 6/7 are girls 3/5 brought their lunch what fraction of students are girls who brought their lunch today write your answer in its simplest form
18/35 fraction of students are girls who brought their lunch today.
What is fraction ?A fraction is a mathematical concept that denotes a component of a whole or, more generally, any number of equal parts. A fraction, such as one-half, eight-fifths, and three-quarters, denotes the number of components of a specific size when used in conversational English.
CalculationLet's say,
Total number of students over school = x
Number of girls = (6/7)x
Number of girls who brought their lunch = 3/5 of (6/7)x
⇒ 3/5(6/7)x
⇒ (18/35)x
Hence "18/35 fraction of students are girls who brought their lunch today".
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The random variable x has a normal distribution with standard deviation. It is known that the probability that x exceeds is. 90. Find the mean of the probability distribution.
The random variable x has a normal distribution with standard deviation. It is known that the probability that x exceeds is. 90. Therefore, mean of the probability distribution is 133.09.
We are given that the random variable x has a normal distribution with standard deviation 21,i.e;
X ~ N( u, σ=21)
The Z probability is given by;
Z = X- u/σ ~ (0,1)
Also, it is known that the probability that x exceeds 160 is 0.90 ,i.e;
P(X > 160) = 0.90
P( X-u/σ > 160-u /21 ) = 0.90
From the z% table we find that at value of x = -1.2816, the value of
P(X > 160) is 90%
which means; 160-u /21 = -1.2816
160 - = 21*(-1.2816)
= 160 - 26.914 = 133.09
Therefore, mean of the probability distribution is 133.09.
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could you please help me out with a question
Circumference
Formula
C = 2*pi*r
Substitution
C = 2*(3.14)* (5)
Simplification
C = 31.4 m This is the Circumference
Area
Formula
A =pi*r^2
Substitution
A = 3.14*5^2
Simplification
A = 3.14*25
Result
Area = 785 m^2 This is the area
help help help help help help help help help help help help help help help help help help helppppooppppppppp
From the given figure
The prism formed from 5 cubes long, 2 cubes wide, and 2 cubes height, then
Its length = 5 cubes
Its width = 2 cubes
Its height = 2 cubes
Since the side of each cube = 1/2 cm, then
Its length = 5 x 1/2 = 5/2 cm
Its width = 2 x 1/2 = 1 cm
Its height = 2 x 1/2 = 1 cm
The volume of the prism = length x width x height, then
[tex]\begin{gathered} V=\frac{5}{2}\times1\times1 \\ V=\frac{5}{2}cm^3 \end{gathered}[/tex]The volume of the prism is 5/2 cubic cm
The answer is A
2v²+8v=-7 i need 5 points to graph range solutions
Given the quadratic equation below
[tex]\begin{gathered} 2v^2+8v=-7 \\ \Rightarrow2v^2+8v+7=0 \\ \therefore y=2v^2+8v+7 \end{gathered}[/tex]Note: y is function defined by v ( independent variable)
To plot the graph of the function above, we will take a range of values for v, i.e
[tex]\begin{gathered} -2\le v\le2 \\ \text{The range}\Rightarrow-2,-1,0,1,2 \end{gathered}[/tex]Given the range of values above, find the corresponding y-values . This can be done by substituting for v in the quadratic equation above
[tex]\begin{gathered} \text{when v=-2} \\ y=2(-2)^2+8(-2)+7=2(4)-16+7=8+7-16=15-16=-1 \end{gathered}[/tex][tex]\begin{gathered} \text{When v=-1} \\ y=2(-1)^2+8(-1)+7=2(1)-8+7=2+7-8=9-8=1 \end{gathered}[/tex][tex]\begin{gathered} \text{When v=0} \\ y=2(0)^2+8(0)+7=0+0+7=7 \end{gathered}[/tex][tex]\begin{gathered} \text{When v=1} \\ y=2(1)^2+8(1)+7=2+8+7=17 \end{gathered}[/tex][tex]\begin{gathered} \text{When v=2} \\ y=2(2)^2+8(2)+7=2(4)+16+7=8+16+7=31 \end{gathered}[/tex]The table of values is shown below
Hence, the graph of the solution is shown below
Order the numbers 7/4 , 1 .6, 1 5/8 , 1. 62 from least to greatest.
Answer:
1.6, 1.62, 1 5/8, 7/4
Step-by-step explanation:
First, let's turn the fractions into decimals:
For 7/4 you simply divide 7 by 4. Which equals 1.75.
Next for 1 5/8 we divide 5 by 8, which equals 0.625. + the 1 in 1 5/8. So we have 1.625.
Now, we arrange the decimals:
1.6, 1.62, 1.625, 1.75
But this is NOT the answer. We have to replace the decimals that WERE fractions back to the original, then order them from there:
1.6, 1.62, 1 5/8, 7/4.
This IS the answer.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
the answer to this question is in the screenshot. pls mark this answer as the brainliest
Step-by-step explanation:
The height of a triangle is 5 less than double its base, which is 13/2. Find the triangle´s area.
Answer:
The answer you are looking for would be 11 7/2.
Step-by-step explanation:
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The volume of a box is 0.001 cubic Units. If the box is a cube, what is the length of one of its edges?
Answer:
0.1 units
Step-by-step explanation:
The volume formula of a cube is V = s^3
0.001 = s^3
s = 0.1
I really need help on this!!!
Answer:
a.
linear? yes
why? because it is straight line
domain? 8
range? 8
b.
linear ? no
why? because it's curved
domain? -4
range?4
4.
Jada drinks a cup of tea every morning at 8:00 am. for 14 days. There is 40 mg of
caffeine in each cup of tea she drinks. 24 hours after she drinks the tea, only 6% of
the caffeine is still in her body.
How much caffeine is in her body right after drinking the tea on the first, second, and third day?
1st day:
2nd day:
3rd day:
mg.
mg.
mg.
The amount of caffeine in her body on the 1st day is, 2.4 mg
The amount of caffeine in her body on the 2nd day is, 4.8 mg
The amount of caffeine in her body on the 3rd day is, 7.2 mg
Given, Jada drinks a cup of tea every morning at 8:00 am. for 14 days. There is 40 mg of caffeine in each cup of tea she drinks. 24 hours after she drinks the tea, only 6% of the caffeine is still in her body.
So, the amount of caffeine in her body on the 1st day is,
40×6/100
24/10
= 2.4 mg caffeine
The amount of caffeine in her body on the 2nd day is,
= 2× 2.4
= 4.8 mg caffeine
The amount of caffeine in her body on the 3rd day is,
= 3× 2.4
= 7.2 mg caffeine
Hence, The amount of caffeine in her body on the 1st day is, 2.4 mg
The amount of caffeine in her body on the 2nd day is, 4.8 mg
The amount of caffeine in her body on the 3rd day is, 7.2 mg
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Are 3/11 and 17/6 proportional
Answer:
Step-by-step explanation:
NO! Hope I helped.
In a class of 30 students, 3 of the 16 boys are left-handed and 2 of the girls are left-handed. One student is chosen at random . Which of the following represents a conditional probability ?
The conditional probability is represented in option A : the probability that the student is left-handed, given that the student is a boy.
The total number of students in the class is 30. The number of boys in the class is 16. The number of boys who are left-handed is 3. The number of left-handed girls is 2. One student is chosen randomly. We need to find a situation that represents a conditional probability. The conditional probability occurs when the probability of one event depends on the occurrence of another event. So, the situation suitable for this to happen is to find the probability that the student is left-handed, given that the student is a boy.
The complete question is :
In a class of 30 students, 3 of the 16 boys are left-handed, and 2 of the 14 girls are left-handed. One student is chosen at random. Which of the following represents a conditional probability?
A. The probability that the student is left-handed, given that the student is a boy
B. The probability that the student is a girl and left-handed
C. The probability that the student is right-handed
D. The probability that the student is not a boy
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a semi-trailer is being packed with boxes that are 1 and 1/2 feet on each Edge the cargo space of the trailer is 28 ft long eight and a half feet wide and 9 and 1 over 6 feet high what is the maximum number of boxes that will fit inside the trailer
The maximum number of boxes that will fit inside the trailer according to the available volume is 540.
A semi-trailer is being packed with boxes. The side length of each box is 1.5 feet. The cargo space of the trailer is 28 feet in length, 8.5 feet wide and 9.167 feet high. Let the number of boxes that can fit according to the length, width, and height of the trailer be x, y, and z. The values of x, y, and z are the greatest whole numbers less than or equal to the ratio of the length, width, and height of the trailer to the length, width, and height of the box, respectively. The first inequality is x ≤ 28/1.5 ≤ 18.67, so the value of x is 18. The second inequality is y ≤ 8.5/1.5 ≤ 5.67, so the value of y is 5. The third inequality is z ≤ 9.167/1.5 ≤ 6.11, so the value of z is 6. The total number of boxes is the product of the three variables.
P = x*y*z = 18*5*6 = 540
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[tex]\frac{(438)^{3} \sqrt{0.056} }{(388)^{4} }[/tex]
The simplification of the given expression is 0.3404
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.
WE have given the expression as;
[tex]\frac{(438)^{3} \sqrt{0.056} }{(388)^{4} }[/tex]
Now solving;
[tex]\dfrac{(438)^{3} \sqrt{0.056} }{(388)^{4} }\\\\\\\dfrac{84027784 \times 0.23}{58411072 }\\[/tex]
= 0.3404
Therefore, the simplification of the given expression is 0.3404
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Brandon has a jar of quarters and dimes with a total value of $6.05. The number of quarters is 7 less than twice the number of dimes. How many quarters and how many dimesdoes Brandon have?Number of quarters -Number of dimes -
SOLUTION:
In this problem.
Let number of dimes = x, then number of quarters = 2x - 7.
The monetary values of quarters and dimes are;
[tex]\begin{gathered} 0.1x+0.25(2x-7)=6.05 \\ 0.1x+0.5x-1.75=6.05 \\ 0.6x=7.8 \\ x=13 \end{gathered}[/tex]Thus, 2( 13) - 7 = 19.
Therefore, there are 13 dimes and 19 quarters.
Perform the following food service calculation.
Meat to be served: fish fillet
Number of guests: 84
How much fish is needed?
____lbs.
The amount of fish needed to be served is 294 lbs
How to determine the amount of fish needed?From the question, we have the following parameters that can be used in our computation:
Meat to be served: 3.5 pounds fish fillet
Number of guests: 84
The amount of fish needed is calculated using the following equation
Amount of fish = Number of guests x Meat to be served
Substitute the known values in the above equation, so, we have the following representation
Amount of fish = 84 * 3.5
Evaluate the products
Amount of fish = 294
Hence, the amount needed is 294 pounds
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Possible question
Perform the following food service calculation.
Meat to be served: 3.5 pounds fish fillet
Number of guests: 84
How much fish is needed?
____lbs.
(d) In 7 years Bernard will be twice as old as he was 8 years ago. How old is Bernard now?
The present age of the Bernard is, 23.
What is age?
Given a date of birth, this free age calculator calculates age in terms of years, months, weeks, days, hours, minutes, and seconds.
Calculated using the population's arithmetic mean, average age. The median age is a factor that determines the population's average age.
As given, in 7 years Bernard will be twice as old as he was 8 years ago.
Let the present age of Bernard = x
Bernard age after 7 years = x + 7.
Bernard age before 8 years = x - 8.
From the given information,
2(x - 8) = x + 7
2x - 16 = x + 7
2x - x = 16 + 7
x = 23
Therefore, the present age of Bernard is 23.
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Using only a compass and straightedge, construct an isosceles triangle with base and legs congruent to the segments shown below.
I will write out the procedure to draw the isosceles triangle;
- Using the straight edge, measure the length of the base and draw a straight line congruent to the base length.
- Measure the length of the legs.
- Using the compass, set the compass to the same length as the length of the legs.
- From each edge of the base line drawn, Use the compass (already set to the length of the legs) to draw an arc each at the top of the base line;
- Then join each edge of the base line to the point at which the two arcs meet.
- Then you'll have an isosceles triangle, with base and legs as shown above.
Brandon buys a two-quart bottle of juice for $8.32. What is the unit rate of the cost of the juice per fluid ounce? 1 gallon = 1 gallon= 4 quarts 4 quarts 1 quart = 1 quart= 2 pints 2 pints 1 pint = 1 pint= 2 cups 2 cups 1 cup = 1 cup= 8 fluid ounces 8 fluid ounces Before you try that problem, answer the question below. How many fluid ounces of juice did Brandon buy? 64 64 What is the cost of juice in dollars per fluid ounce?
The cost of the juice in dollars per fluid ounce s $0.13..
What is the cost of the juice?The first step is to convert quart to ounces.
1 quart = 32 ounces
The quantity of juice bought in fluid ounces : quantity in quart x unit of conversion= 32 x 2 = 64 fluid ounces
The next step is to divide the cost of the bottle of juice by the converted capacity of the juice bottle. Division is the mathematical process of grouping a number into equal parts using another number.
The cost of the juice in dollars per fluid ounce = cost of the bottle / capacity of the bottle in fluid ounces
= $8.32 / 64 = $0.13
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Irma was in charge of keeping attendance for a local summer camp each year.
Summer camp attendance
Year Kids
2018 93
2019 92
2020 78
2021 75
2022 78
According to the table, what was the rate of change between 2018 and 2021?
According to the table, the rate of change between 2018 and 2021 was 22.22%
What is rate of change?A variable's rate of change over a predetermined amount of time. It is frequently used while discussing momentum and is typically represented as a ratio of one variable's change to another's corresponding change.
Given that,
Year Kids
2018 93
2019 92
2020 78
2021 75
2022 78
So, we have to calculate the rate of change between 2018 and 2021:
As we know, rate of change = (change in year / change in kids) × 100
rate of change = (4/ 18) × 100
rate of change = 22.22%
So, according to the table, the rate of change between 2018 and 2021 was 22.22%
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Which of the following isn’t a solution to cos 2x + cos x=0 on the interval [0,2pi)
Given:
There are given the equation:
[tex]cos2x+cosx=0[/tex]Explanation:
According to the question:
We need to find the value where the given equation is satisfied.
So,
From the equation:
Put the 0 for x for the option first.
[tex]\begin{gathered} cos2x+cosx=0 \\ cos2(0)+cos(0)=0 \\ 1+1=0 \\ 2\ne0 \end{gathered}[/tex]Then,
For the second option:
[tex]\begin{gathered} cos2x+cosx=0 \\ cos2(\frac{\pi}{3})+cos\frac{\pi}{3}\ne0 \end{gathered}[/tex]For option third:
[tex]\begin{gathered} cos2x+cosx=0 \\ cos2(\pi)+cos(\pi)=0 \\ -1+2cos^2(\pi)+cos(\pi)=0 \\ -1+2(-1)^2-1=0 \\ -1+2-1=0 \\ 0=0 \end{gathered}[/tex]Final answer:
Hence, the correct option C.
Find the correct graph that represents the inequality for the sentence.Kevin always has $5 or more in his pocket.
ANSWER:
STEP-BY-STEP EXPLANATION:
By the statement Kevin always has $5 or more, which means that x can be 5 or all values greater than this. So the correct graph would be the first option:
Bryce wants to renovate his kitchen. The construction estimate is $28,400. He can finance through his local bank or directly through the construction company. The bank (loan A) offers a maximum 6-year loan at 8% annual interest, resulting in monthly payments of $497.94.The construction company (loan B) offers a maximum 10-year loan at 5.5% annual interest, resulting in monthly payments of $308.21.Which loan requires Bryce to pay less, and by how much?First, calculate the total payback for each loan.
ANSWER:
Loan A requires Bryce to pay less by $1,133.52
EXPLANATION:
For bank A, we're given;
Length of loan in years(t) = 6 years
Annual interest rate(r) = 8% = 8/100 = 0.08
Loan payment(PMT) = $497.94
Number of compounds per year(n) = 12
We can go ahead and determine the loan amount using the below formula as seen below;
[tex]\begin{gathered} Loan\text{ }amount,P_0=\frac{PMT(1-(1+\frac{r}{n})^{-nt})}{\frac{r}{n}} \\ \\ =\frac{497.94(1-(1+\frac{0.08}{12})^{-12*6}}{\frac{0.08}{12}} \\ \\ =\text{ \$}28399.77 \end{gathered}[/tex]So we can see that Bryce will pay back;
[tex]\begin{gathered} Bank\text{ }A\text{ }Loan\text{ }Payback=497.94(12*6) \\ \\ =497.94\left(72\right) \\ \\ =\text{\$}35,851.68 \end{gathered}[/tex]For bank B, we're given;
Length of loan in years(t) = 10 years
Annual interest rate(r) = 5.5% = 5.5/100 = 0.055
Loan payment(PMT) = $308.21
Number of compounds per year(n) = 12
We can go ahead and determine the loan amount using the below formula as seen below;
[tex]\begin{gathered} Loan\text{ }amount,P_0=\frac{PMT(1-(1+\frac{r}{n})^{-nt})}{\frac{r}{n}} \\ \\ =\frac{308.21(1-(1+\frac{0.055}{12})^{-12*10}}{\frac{0.055}{12}} \\ \\ =\text{ \$}28399.57 \end{gathered}[/tex]So we can see that Bryce will pay back;
[tex]\begin{gathered} Bank\text{ B }Loan\text{ }Payback=308.21(12*10) \\ \\ =308.21\left(120\right) \\ \\ =\text{\$}36985.20 \end{gathered}[/tex]We can see that Bryce will pay back $35,851.68 for Loan A and $36,985.20 for Loan B, so Loan A requires Bryce to pay less and by $1,133.52
Use the graph to determine the point of intersection (4,5)(1,3)(5,4)(3,1)
The intersection point is (4,5) because that's the point where the two lines meet