Complete the missing parts of the table for the following function

Complete The Missing Parts Of The Table For The Following Function

Answers

Answer 1

Answer:

At x=-2, y=16

At x=0, y=1

At x=3, y=1/64

Step-by-step explanation:

As we know that the function is given by:

[tex]y=(\frac{1}{4})^{x}[/tex]

The table represents the output values on given inputs.

So, when the input is -2:

[tex]y=(\frac{1}{4} )^{-2}\\y= \frac{(1)^{-2}}{(4)^{-2}}[/tex]

To convert the power in positive:

[tex]y=\frac{(4)^{2}}{(1)^{2} }\\y=16[/tex]

So the output for x=-2 is 16.

For x=0

[tex]y=(\frac{1}{4})^{0}[/tex]

Anything whose exponent is zero equals to 1, so y=1

For x=3, output is incomplete.

To complete,

[tex]y=(\frac{1}{4})^{3}\\y=\frac{(1)^{2} }{(4)^{2} }\\y=\frac{1}{64}[/tex] ..


Related Questions

PLEASE HURRY!!!!!!
10 points !!!!!!!!!!! What is the value of x??

Answers

Answer:

x = 98°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle and 53° and 45° are the opposite interior angles, hence

x = 53° + 45° = 98°

Combine and simplify the x terms in the expression -7x+15x-40x

Answers

Answer:

-32x

Step-by-step explanation:

Combine like terms (terms with the same amount of variables).

First, subtract 7x from 15x:

15x - 7x = 8x

Next, subtract 40x from 8x:

8x - 40x = -32x

-32x is your answer.

~

The graph of which of the following will be parallel to the graph of 4x – 3y = –12? A.y= 4/3x -3/2 B.6x-4y=-8 C. y=3/4x+1 D.4x- 2y=-12

Answers

Answer:

A. [tex]y = \frac{4}{3} x - \frac{3}{2}[/tex]

Step-by-step explanation:

First, we have to turn 4x - 3y = -12 into slope-intercept form (y = mx + b). To do this, we first have to isolate 3y.

4x - 3y = -12

    +3y    +12     Add 3y to both sides and add 12 to both sides

4x + 12 = 3y

3y = 4x + 12

Isolate y by dividing 3 from both sides.

y = [tex]\frac{4}{3}[/tex]x + 4

The graph that is parallel will have the same slope as this equation, which is [tex]\frac{4}{3}[/tex].

Therefore, A. [tex]y = \frac{4}{3} x - \frac{3}{2}[/tex] would be the correct answer.

Answer:

A

Step-by-step explanation:

Solve for y.

4x – 3y = -12

4x + 12 = 3y

y = 4/3 x + 4

The slope of the line is 4/3.  So you need another line with the same slope.  So the answer is A.

8.
(g.g)(x)
(4x-1)(3x-6)

Answers

Answer:

12x+6

Step-by-step explanation:

Multiply the like terms.

4x • 3x=12x

-1 • -6= 6

put it back into equation form

12x + 6

If h(x)=6-x,which is the value of (h*h)(10)

Answers

Answer:

16

* usually means multiplication

If you have an open circle there instead, please inform me.

Step-by-step explanation:

* usually means multiplication

If you had an open circle there, please let me know.

Find h(10) and then multiply that answer to itself.

h(10)=6-10=-4

So the answer is -4*-4=16

2x
2
−28x+98=02, x, start superscript, 2, end superscript, minus, 28, x, plus, 98, equals, 0
x = {}x=x, equals

Answers

Answer:

7

Step-by-step explanation:

2x² - 28x + 98 = 0

x² - 14x + 49 = 0

(x - 7)² = 0

x = 7

Final answer:

To solve the equation 2x^2 - 28x + 98 = 0, we can use the quadratic formula. After substituting the values into the formula, we simplify the equation and solve for x. The solution is x = 7.

Explanation:Solution:

To solve the equation 2x2 - 28x + 98 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 2, b = -28, and c = 98. Substituting these values into the formula:

x = (-(-28) ± √((-28)^2 - 4(2)(98))) / (2(2))

Simplifying the equation gives:

x = (28 ± √(784-784)) / 4

Since the term inside the square root is zero, we have:

x = (28 ± √0) / 4

The square root of zero is zero, so:

x = (28 ± 0) / 4

Simplifying further:

x = 28 / 4

x = 7

Therefore, the solution to the equation 2x2 - 28x + 98 = 0 is x = 7.

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2x+5= -x+(-1). What was the first step

Answers

Answer:

C)

Step-by-step explanation:

The first thing you want to do is add x to both sides (add one positive x-tile):

2x+5=-x-1

+x       +x

2x+x+5=-x+x-1

combine like terms

3x+5=-1

Find the value of y.
A. 4
B. 6
C. 10
D. 12

Answers

Answer:

D. 12

Step-by-step explanation:  

We have been given a diagram of a triangle. We are asked to find the value of y for our given triangle.

First of all, we will find 3rd side of larger triangle using Pythagoras theorem.

[tex]\text{3rd side}^2=16^2-8^2[/tex]

[tex]\text{3rd side}^2=256-64[/tex]

[tex]\text{3rd side}^2=192[/tex]

[tex]\text{3rd side}^2=192[/tex]  

We will use geometric mean (leg) theorem to solve our given problem.

[tex]\text{3rd side}^2=y\times 16[/tex]  

[tex]192=y\times 16[/tex]  

[tex]\frac{192}{16}=\frac{y\times 16}{16}[/tex]  

[tex]y=12[/tex]  

Therefore, the value of y is 12 and option D is the correct choice.

A spinner has 5 sector's of equal size. The sectors are labeled 1,2,3,4, and 5. the spinner is spun twice.x is the number of times 3 is spun

Answers

Answer:

Because the sectors are of equal size, each sector has the same probability of happening.

So for every number, you have a probability of 0.2 of it appearing.

Because you have three odd numbers, the probability to land on an odd number on each spin is 0.6. You can also say that the probability to not have an odd number is 0.4.

So what is the probability to have 0 odd number in two spins?

What is the probability to have 1 odd number in two spins? You can have one odd number on the first or one odd on the second spin, that is why we add the probabilities.

What is the probability to have 2 odd numbers in two spins?

To verify if we did a good job, we add all the probabilities. We should get 1.

.

So to slide your bars, you slide them up to the number I gave you for each case.

Hope this helps!

Final answer:

The likelihood of spinning a 3 on an equal-segment spinner is 1/5 per spin. When spun twice, the probability of getting 3 both times is 1/25. The variable x, which represents how many times 3 is spun, can therefore be 0, 1, or 2.

Explanation:

Your inquiry is related to probability.

Each spin of the spinner is an independent event. This means that the result of the first spin does not influence the result of the second spin. Since the spinner is equally likely to land on any of the 5 sectors, the probability of it landing on 3 (or any given number) is 1 out of 5 or 1/5.

Since the spinner is spun twice, we multiply these probabilities together to find the total probability of spinning a 3 both times. Therefore, the total probability of spinning a 3 twice would be (1/5) * (1/5) = 1/25.

Thus, the variable x, representing the number of times 3 is spun in these two attempts, can be 0, 1, or 2. These are the possible outcomes.

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If (a, –5) is a solution to the equation 3a = –2b – 7, what is a?

Question 8 options:

a)

4


b)

0


c)

-1


d)

1

Answers

Answer:

d)  1

Step-by-step explanation:

3a = –2b – 7

We have the point (a, -5) so b = -5

Substituting in

3a = -2(-5) -7

3a = 10-7

3a = 3

Divide each side by 3

3a/3 = 3/3

a =1

Final answer:

To find the value of a in the equation 3a = -2b - 7, substitute the coordinates of the given point and solve for a. The value of a is -5.

Explanation:

In this given equation 3a = -2b - 7, o find the value of a, we can substitute the coordinates of the given point into the equation and solve for a. Let's substitute the value of a as -5:

3(-5) = -2b - 7

Simplifying the equation:

-15 = -2b - 7

Adding 7 to both sides:

-8 = -2b

Dividing both sides by -2:

b = 4

So, the value of a is -5.

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P(A)= 0.50, P(B)= 0.40, and P(A and B)=0.15 what is P(A or B)?

Answers

Probabilities are used to determine the chance of events

The value of [tex]\mathbf{P(A\ or\ B) }[/tex] is 0.75

The given parameters are:

[tex]\mathbf{P(A) = 0.50}[/tex]

[tex]\mathbf{P(B) = 0.40}[/tex]

[tex]\mathbf{P(A\ and\ B) = 0.15}[/tex]

The required probability is calculated using:

[tex]\mathbf{P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)}[/tex]

So, we have:

[tex]\mathbf{P(A\ or\ B) = 0.50 + 0.40 - 0.15}[/tex]

[tex]\mathbf{P(A\ or\ B) = 0.75}[/tex]

Hence, the value of [tex]\mathbf{P(A\ or\ B) }[/tex] is 0.75

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Answer:0.75

Step-by-step explanation:

did it

What is the solution to the system of equations y equals 1.5 x - 4 y equals negative X

Answers

Answer:

(1.6, -1.6)

Step-by-step explanation:

We have the following system of equations:

[tex]y=1.5x - 4[/tex]

[tex]y=-x[/tex]

We have the following system of equations:

To solve the system substitute the second equation in the first one and solve for x

[tex]y=1.5x - 4[/tex]

[tex]-x=1.5x - 4[/tex]

[tex]4=2.5x [/tex]

[tex]2.5x =4[/tex]

[tex]x =\frac{4}{2.5}[/tex]

[tex]x = 1.6[/tex]

Now replace the value of x in one of the two equations and solve for y

[tex]y=-x[/tex]

[tex]y=-1.6[/tex]

The solution is:

(1.6, -1.6)

Slope of line y = -2x+ 4

Answers

Answer:

-2

Step-by-step explanation:

The equation of a line in slope intercept form is

y = mx +b where m is the slope and b is the y intercept

y = -2x+4

The slope is -2 and the y intercept is 4

100 Points please answer the question ​

Answers

Answer:

B) 54 inches

Step-by-step explanation:

2*3 = 6

3*3 = 9

A= l*w

6*9=54

Answer:

b 54 inches^2

Step-by-step explanation:

2 inches by 3 inches  gets scaled by 3

it becomes 2*3   by 3*3

6 inches by 9 inches

The area is

A = l*w

A = 6*9

A = 54 inches^2

what measure is represented by 17 feet in this figure below

Answers

The answer is the diameter.
The diameter of a circle is a segment that passes through the center of a circle, and whose endpoints lie on the circumference of a circle .

So you are right, the correct answer is b:
The diameter of the base.

Answer:

The answer is B. the diameter of the base

Step-by-step explanation:

Just got it right on edg! Have a great day!

Adam put $100 in a savings account. After 10 years, he had $1649 in the
account. What rate of interest did he earn? Use the formula A = Per, where A
is the ending amount, Pis the principal (initial amount), r is the interest rate,
and t is time.

Answers

Adam earned approximately 12.48% interest on his savings account over 10 years.

To find the rate of interest (r) earned by Adam, we can use the formula for compound interest:

A = P * (1 + r[tex])^{t}[/tex]

where:

A = ending amount ($1649 in this case)

P = principal (initial amount) ($100 in this case)

r = interest rate (what we want to find)

t = time (in years) (10 years in this case)

We know the values of A, P, and t, so we can plug them into the formula and solve for r:

1649 = 100 * (1 + r)¹⁰

Divide both sides of the equation by 100:

16.49 = (1 + r)¹⁰

Now, let's isolate (1 + r) by taking the 10th root of both sides:

(1 + r) = √(16.49)

(1 + r) ≈ 1.12479

Now, subtract 1 from both sides to find the value of r:

r ≈ 1.12479 - 1

r ≈ 0.12479

Finally, convert the decimal to a percentage to get the interest rate:

r ≈ 0.12479 * 100

r ≈ 12.48%

So, Adam earned approximately 12.48% interest on his savings account over 10 years.

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Make q the subject of the formula 5(q+p)=4+8

Answers

Answer:

q = [tex]\frac{4+3p}{5}[/tex]

Step-by-step explanation:

Given

5(q + p) = 4 + 8p ← distribute the left side

5q + 5p = 4 + 8p ( subtract 5p from both sides )

5q = 4 + 3p ( divide both sides by 5 )

q = [tex]\frac{4+3p}{5}[/tex]

The equation in its simplest form and q as subject is q = (1/5)(4+3p)

What is the meaning of Simplest form ?

Reducing any fraction or equation to its simplest form means to to reduce it to a form from where no more factors can be taken common from the numerator and denominator , or the equation is in the form where no more simplification can be done.

An equation is given in the question .

5(q+p) = 4+8p

To reduce it in the simplest form and making q as the subject ,

then p will be the subject .

5q+ 5p = 4+8p

5q = 4 + 8p - 5p

5q = 4 +3p

q = (1/5)(4+3p)

Therefore the equation in its simplest form and q as subject is q = (1/5)(4+3p)

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Two factors of 18 add up to 12. What are they?

Answers

Answer:

3 and 9

Step-by-step explanation:

The factors of 18 can be listed as

1, 2, 3, 6, 9, 18

The two which sum to 12 are 3 and 9


Which one is the correct answer?

Answers

Answer:

C

Step-by-step explanation:

So I'm going to subtract (x+7)/(x+3) on both sides:

(x-6)/(x+5)-(x+7)/(x+3)>=0

Now I'm going to find a common denominator which is (x+5)(x+3).

[(x-6)(x+3)-(x+7)(x+5)]/[(x+5)(x+3)]>=0

Now I just have a lot of simplifying to do:

[x^2+3x-6x-18-(x^2+5x+7x+35)]/(x^2+3x+5x+15)>=0

[-3x-18-12x-35]/(x^2+8x+15)>=0

[-15x-53]/[x^2+8x+15]>=0

Multiply and subtract these polynomials and simplify. Enter your response in standard form (2x3 - 3x + 11) – (3x2 + 1)(4 – 8x)

Answers

Answer:

= 26x3 − 12x2 + 5x + 7

Step-by-step explanation:

Use the FOIL method to multiply the two binomials. Then distribute the negative sign. Finally, order like terms from highest degree to lowest degree and combine.

(2x3 − 3x + 11) − (3x2 + 1)(4 − 8x)

= (2x3 − 3x + 11) − (12x2 − 24x3 + 4 − 8x)

= 2x3 − 3x + 11 − 12x2 + 24x3 − 4 + 8x

= 2x3 + 24x3 − 12x2 − 3x + 8x + 11 – 4

= 26x3 − 12x2 + 5x + 7

1. Given the graph to the right, what is the coordinate of point A?

2.Given the graph to the right, in which quadrant is point E?

(will pick brainiest)

Answers

Answer:

1. A(-2, 3)2. Quadrant III

Step-by-step explanation:

Look at the picture.

Coordinates of a point (x, y)

x - from x-axis

y - from y-axis

During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?
Make a Selection:
A. $0.36
B. $0.30
C. $0.25
D. $0.94

Answers

Answer:

B. $0.30

Step-by-step explanation:

1 bar of candy = $0.20

3 bars of candy = $0.50

To solve, multiply for both:

If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:

9 x 0.20 = $1.80

If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:

9/3 = 3

3 x 0.50 = $1.50

Subtract the total cost of the individual from the pack:

$1.80 - $1.50 = $0.30

B. $0.30 is your answer.

~

A student find the slope of the line between (8,17) and (1,4)
She writes 17-4/ 1-8. What mistake did she make

Answers

[tex]\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{17})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-17}{1-8}\implies \cfrac{-13}{-7}\implies \cfrac{13}{7} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{17-4}{1-8}\stackrel{\leftarrow \textit{atop she used }y_1-y_2}{\frac{}{}}~\hfill[/tex]

For this case we have that by definition, the slope of a line is given by:

[tex]m = \frac {y_ {2} -y_ {1}} {x_{2} -x_ {1}}[/tex]

According to the data we have the following points:

[tex](x_ {1}, y_ {1}) :( 1,4)\\(x_ {2}, y_ {2}) :( 8,17)[/tex]

Substituting we have:

[tex]m = \frac {17-4} {8-1}\\m = \frac {13} {7}[/tex]

So, the slope is [tex]\frac {13} {7}[/tex]

ANswer:

The student's mistake was to erroneously subtract the "x" coordinates from the points

Eugene had $24 to spend on three pencils.
After buying them he had $18. How
much did each pencil cost?

Answers

Each pencil costs $2

Answer:

$2

Step-by-step explanation:

Step 1: Subtract the amount he had left from the amount he had to spend. 24 - 18 is 6. That's the amount spent on pencils.

Step 2: Divide the amount spent on pencils by 3. 6/3 is 2. That's the total cost of each pencil.

find the value -2/3÷ 4/6.
A -1
B 4/9
C -9/4
D 1

Answers




Answer should be -1
The answer is A. -1

Hope this helps^_^

help as soon possible thank you ​

Answers

Answer:

The correct answer option is D. (-2, 1).

Step-by-step explanation:

We are given the coordinates of the square A"B"C"D" after the rule is applied and we are to find the coordinates of the vertex A.

For that, we will reverse the rule.

A" = (-5, -3)

x: - 5 + 4 = -1

y: - 3 + 1 = -2

Now we will reverse the 90 degrees counter in counter clockwise rotation:

(x, y) ---> (y, -x)

(-1. -2) ---> (-2, -(-1)) = (-2, 1)

The cost of a sweatshirt was on sale for $18. Find the
percent of decrease if the sweatshirt was originally
$25.

Answers

25-18=7

7/25(100)=28

It was decreased by 28%.

The percentage decrease(loss) of selling sweatshirts is 28%.

How to find percentage change?

To find the percentage change of any value we need to divide by that change to the original value and then multiply by 100.

Percentage change = (change in value × 100)÷(riginal value).

Given that the selling cost of sweatshirts is $18.

The cost of the sweatshirt was $25.

Change of value

$25 - $18 = $7

By the formula

Percentage decrease = ($7)×100÷ ($25) %

Percentage decrease = 28% Hence,the percentage decreases is 28$.

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what is .84 divided by .02
please help me because i really really REALLY need help on this

Answers

Hello There!

.84 ÷ .02 ≈ 42

WORK SHOWN IN IMAGE ATTACHED

consecutive angles in a parallelogram are_?​

Answers

Answer:

supplementary

Step-by-step explanation:

Consecutive angles in a parallelogram sum to 180°

That is they are supplementary.

Which of the following equations represents a line that is parallel to y=-4x-1
and passes through the point, (2, 2)?


A. y = -4x- 6
B. y = -x+2
C. y=-4x +10
D. y = -4x+4


Answers

Answer:

Option C : y = -4x+10

Step-by-step explanation:

Given equation of line is:

[tex]y = -4x-1[/tex]

Comparing it with standard form

y=mx+b

m = -4

As the slopes of parallel lines are equal, the slop of other line will also be -4.

Now, to find the value of b

[tex]2 = -4(2) + b\\2 = -8 + b\\2+8=b\\b=10[/tex]

Putting the values of b and m in standard form

[tex]y=mx+b\\y = (-4)x+10\\y= -4x+10[/tex]

Hence,

Option C is the correct answer ..

For this case we have that the equation of a line of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut point with the y axis.

By definition, if two straight lines are parallel then their slopes are equal.

So, if we have:

[tex]y = -4x-1[/tex]

A parallel line has slope [tex]m = -4[/tex]

y = -4x + b

We substitute the point (2,2) to find "b":

[tex]2 = -4 (2) + b\\2 = -8 + b\\b = 2 + 8\\b = 10[/tex]

Finally we have:

[tex]y = -4x + 10[/tex]

Answer:

Option C

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