Sam wants to create a linear function and an exponential function, both of which have a y-intercept
of (0,8) and pass through the point (9,512). Help Sam create his functions.

Answers

Answer 1

Step-by-step explanation:

Exponential function is

[tex]y = a \times {b}^{x} [/tex]

where a is the y intercept, or the initial value.

b is the constant rate.

Since a is the y intercept, this means a is 8. So we have

[tex]y = 8 \times {b}^{x} [/tex]

Now, plug in 9 for x. 512 for y to find b.

[tex]512 = 8 \times {b}^{9} [/tex]

[tex]64 = {b}^{9} [/tex]

[tex] \sqrt[9]{64} = b[/tex]

[tex]64 {}^{ \frac{1}{9} } = b[/tex]

[tex]4 {}^{ \frac{1}{3} } = b[/tex]

[tex] \sqrt[3]{4} = b[/tex]

So the equation is

[tex]y = 8( \sqrt[3]{4} ) {}^{x} [/tex]


Related Questions

Solve the equation:

[tex]6-(3w+1) = 8w-2[/tex]

Answers

Step-by-step explanation:

please mark me as brainlest

Hello!

[tex]===================================[/tex]

Step 1:

Use the Distributive Property:

[tex]\hookrightarrow\sf{-(3w+1)=-3w-1}[/tex]

Hence, the equation is

[tex]\hookrightarrow\sf{6-3w-1=8w-2}[/tex]

Move 8w to the left side

[tex]\hookrightarrow\sf{6-3w-1-8w=-2}[/tex]

Combine Like Terms

[tex]\hookrightarrow\sf{6-3w-8w-1=-2}[/tex]

Simplify

[tex]\hookrightarrow\sf{6-11w-1=-2}[/tex]

Move 6 and 1 to the right

[tex]\hookrightarrow\sf{-11w=-2+1-6}[/tex]

[tex]\hookrightarrow\sf{-11w=-7[/tex]

Divide both sides by -11

[tex]\hookrightarrow\sf{w=7/11}\\=============================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge Is Power!

What is the velocity of the plane that travels 3000km in 5 hours?

Answers

Answer:

600km/h

546.807 fps

0.1666667 km/s

Step-by-step explanation:

Use which ever unit youd want to in this scenereo, I'd use 600km/h

3000 / 5 = 600

Number 13. Multiply please.

Answers

[tex](x-y)^2 \\\\\\= (x-y)(x-y)\\\\= x * x + (x)(-y)+(-y)(x) +(-y)(-y)\\\\ = x^2 -xy-xy + y^2\\\\=x^2-2xy + y^2[/tex]

Hope that helps!

Look at the chart and complete the function rule.
y = 5x + ?

Answers

Answer:

Step-by-step explanation:

The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Find the values of

m

and

b

using the form

y

=

m

x

+

b

.

m

=

5

b

=

0

The slope of the line is the value of

m

, and the y-intercept is the value of

b

.

Slope:

5

y-intercept:

0

The surface of a rectangular table has a perimeter of 12 feet and an area of 8 square feet.
What are the dimensions of the table?
feet by
feet
no
Submit
1-2
17.4.3
291

Answers

Answer:

17.4.3

Step-by-step explanation:

17.4.3

(systems of equations word problem)

ms. arrington has been raising money to take her classroom to the zoo. she has raised $580. the zoo has allowed all the adults to enter the zoo at a flat rate of $75 for all. if each student ticket costs $8.50, what is the maximum number of students allowed to attend the field trip?

a 59 students
b 60 students
c 58. students
d 61 students

Answers

Answer:

C

Step-by-step explanation:

All you have to do is divide 580 by 8.50 to easily distribute the money to each student equally.

how to tell if something is cubed or squared being ft^3 or ft^2

Answers

Answer:

Check the power

Step-by-step explanation:

You can tell if a quantity has been cubed or squared by looking at its power.

For example, ft^3 has a power of 3 (meaning feet is raised to 3) which means whichever number ft^3 is used with, has been cubed, generally volume of any shape

Similarly, ft^2 has a power of 2 (meaning feet is raised to 2) which means whichever number ft^2 is used with, has been squared, generally area of any shape

hello!

===========================================================

If something is squared, it's multiplied times itself 2 times.

Example:-

[tex]\bigstar\boxed{\pmb{4*4=4^2}}\longleftarrow\sf{4~squared~}[/tex]

You should also notice that the exponent of 4 is 2.

So if something is squared, its exponent is 2.

If something is cubed, it's multiplied times itself 3 times.

Example:-

[tex]\bigstar{\boxed{\pmb{4*4*4=4^3}}\longleftarrow\sf{4~cubed}[/tex]

You should also notice that the exponent of 4 is 3.

So if something is cubed, its exponent is 3.

=======================================================

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Write the ratio 2 : 5 in the form of 1 : n ?

Answers

Answer:

1:2.5

Step-by-step explanation:

just divide each side by 2

How is the graph of g(x) = -x2-2 related to the graph of f(x)=x2?
The graph of gx) = -x2-2 is reflected across the y-axis and translated up 2 units.
The graph of g(x) = -x2–2 is reflected across the x-axis and translated up 2 units.
The graph of g(x) = -x2-2 is reflected across the y-axis and translated down 2 units.
The graph of g(x) = -x2-2 is reflected across the x-axis and translated down 2 units.

Answers

Answer:

The graph of g(x) = -[tex]x^{2}[/tex]-2 is reflected across the x-axis and translated down 2 units.

Step-by-step explanation:

- f(x)  reflects the graph over the x-axis;  f(-x) would reflect the graph over the y-axis

f(x) + k translates the graph up k units; f(x) - k translates the graph down k units

Consider the enlargement of the complex figure. 2 complex figures. a corresponds to 18 centimeters, b corresponds to 24 centimeters, and a side with length 14 meters corresponds to a side with length 42 feet. what can be concluded about the scale factor and missing measures? check all that apply. the scale factor is 3. the scale factor is one-third. add the scale factor to 18 and 24 to find a and b’s lengths. subtract the scale factor from 18 and 24 to find a and b’s lengths. multiply 18 and the scale factor to find a’s length. divide 24 by the scale factor to find b’s length.

Answers

Answer:

The scale factor is 3 and Divide by 24 to find b's length.

Step-by-step explanation:

I think this is the answer

(Im just a bored high schooler searching this up) :P

Answer:

it’s The first and the last

Step-by-step explanation:

6x+9=45 how do you solve it

Answers

[tex] \huge\mathbb\orange{ANSWER} [/tex]

[tex] \mathsf \purple{6x + 9 = 45}[/tex]

[tex] \mathsf \pink{6x + 9 - 9 = 45 - 9}[/tex]

[tex] \mathsf \purple{6x = 36}[/tex]

[tex] \mathsf \pink{ \frac{6x}{6} = \frac{36}{6} }[/tex]

[tex] \mathsf \purple{x = 6}[/tex]

[tex] \mathbb\orange{Hope\: It\: Helps} [/tex]

apter 13
4. The base rate for workers' compensation insurance for roolers
in one state is $16.95 per $100 paid to employees. The total
monthly payroll for Certified Roofing is $15,738.00. What is the
monthly premium for workers' compensation insurance?

Answers

Answer:

  $2,667.59

Step-by-step explanation:

The insurance premium is found by multiplying the payroll amount by the premium rate.

  ($15,738) × $16.95/$100 = $15,738 × 0.1695 ≈ $2,667.59

The monthly workers' compensation insurance premium is $2,667.59.

_____

Additional comment

The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.

Answer:

The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.

Step-by-step explanation:

trinity has 6 books to read for homework this week . if she reads 2/3 of a book each night how many nights will it take her to read all six books?

Answers

6 books to be read in all
If 2/3 books = 1 night
Then 6 books = 6 x 1/(2/3)
= 6 x 3/2
= 9 nights
Hence 9 night will be taken to read 6 books

Which ordered pair is a solution of the inequality y < 3x + 1
A. (-3,2)
B. (3,14)
C. (1, -3)
D. (1,6)

Answers

Answer:

c

Step-by-step explanation:

1=x

-3=y

then you plug it in. put the -3 in for the y and the 1 in for the x then you have the equation:

-3<3(1)+1

and solve it

-3<4+1

-3<5

Answer:

D

Step-by-step explanation:

y-3x < 1

D is answer

-3-3= -9

-9 <1

Calculate the compound interest on $6 000 if invested for 3 years at 7.5% per annum.



multiple choice answers:
$6000 $7453.78 $1453.78 $7534.87​

Answers

Your answer is B, $7453.80

Attached is the compound growth formula I used.

I NEED THAT ANSWER ASAP

Answers

Answer:

2064.19 km^3

Step-by-step explanation:

Formula for volume of a sphere

V = 4/3 pi r^3

  = 4/3  *  3.14  * 7.9^3  =

Answer:

[tex]2064\ km^3[/tex]

Step-by-step explanation:

Volume of a Sphere: [tex]\frac{4}{3}\pi r^3[/tex]

r (radius) = 7.9 km

[tex]V=\frac{4}{3}\pi r^3[/tex]

[tex]V=\frac{4}{3}*3.14*(7.9)^3 \\\\V=\frac{4}{3}*3.14*493.039\\\\V=\frac{4}{3}*1548.142\\\\V=\frac{4}{3}*\frac{1548.142}{1}\\\\V=\frac{6192.568}{3}\\\\V=2064.18933 < == round\ to\ the\ nearest\ whole\ number\\\\V=2064\ km^3[/tex]

Therefore, the volume of the sphere is [tex]2064\ km^3[/tex]

Hope this helps!

Could someone help, I need help with math, this is the question. The ratio of ducks to geese is 5:3. There are 50 ducks. How many geese are there?

Answers

ANSWER:
There are 30 geese.
STEP-BY-STEP EXPLANATION:
Let y be the total no. of animals
Share= ratio/total ratio X total
50= 5/8 X y
50= 5y/8
50 X 8= 5y
y= 400/5
y= 80
The total no. of animals is 80
80-50=30 ans.

What measures are taken to discourage car owners, who must wait for the passengers, to use the drop and go parking​

Answers

Answer:

Short-term parking is generally used by drivers who will be in the airport for less than four hours. On-site long-term parking allows travelers to park their cars for the duration of their trip. Off-site long-term parking offers discounted parking space for travelers wishing to park for the duration of their trip.

HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?

Answers

Answer:
Your answer would be:
57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)


Point 2 1/4:
2

Point 2 3/4:
4

Point 3:
1

Point 3 1/2:
2

Point 3 3/4:
3

Point 4:
1

Point 4 1/4:
4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.





Step-by-step explanation:

Have a great rest of your day
#TheWizzer

The table shows the number of apples needed to make apple pies and applesauce sold at a farm
store. During a recent picking at the farm, 169 Granny Smith apples and 95 Red Delicious apples
were picked. Write and solve a system to determine how many apple pies and how many batches
of applesauce can be made if every apple is used. (Hint: read across each row to create your equations!)
# Needed # Needed Total
Type of Apple for 1 (Pie) for Sauce
Granny Smith 5
4
169
Red Delicious
3
2
95

Answers

Answer:

pie - 38

sauce - 37.5

Step-by-step explanation:

For the Red Delicious apples you keep subtracting 5 from the total (95) and adding 1 to both of the total numbers of pies and apple-sauce. For the Granny Smith apples you keep subtracting 9 from the total and adding 1 to both of the total numbers of pies and apple-sauce until you get to 7 then you subtract 5 and 1 to the total of pies then you only have 2 left and that is half of the appl-sauce.

The value of x from the equation is 21 pies and the value of y from the equation is 16 batches of apple sauces

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of apple pies be x

Let the number of batches of apple sauce be y

Now , the system of equations are

5x + 4y = 169   be equation (1)

3x + 2y = 95   be equation (2)

Multiply equation (2) by 2 , we get

6x + 4y = 190   be equation (3)

Subtracting equation (1) from equation (3) , we get

x = 190 - 169

x = 21

Substitute the value of x in equation (2) , we get

3x + 2y = 95

3 ( 21 ) + 2y = 95

63 + 2y = 95

Subtracting 63 on both sides of the equation , we get

2y = 32

Divide by 2 on both sides of the equation , we get

y = 16

Therefore , the value of x and y are 21 and 16 respectively

Hence , the number of apple pies and apple sauces are 21 and 16 respectively

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Complete the state symbol in the equation. CuCO3+H2SO4(aq)+H2O+CO2

Answers

Answer:

H2O = liquid (l)

CO2 = gas (g)

CuCO3 = solid (s)

Step-by-step explanation:

H2O is water

CO2 is carbon dioxide

CuCO3 is copper carbonate

answer is it 1 2 3 or 4

Answers

Answer: C. 125.66 in²

Step-by-step explanation:

      This is asking us to find the surface area of this cone. We can use the formula and solve.

A = πrl + πr²

A = π(4)(6) + π(4)²

A = π(4)(6) + π(4)²

A ≈ 125.66 in²

      It would take C. 125.66 in² of toilet paper to cover the surface of this cone.

Can anyone solve this correctly?

Answers

Answer:

ANSWER

160 in³

Step-by-step explanation:

First, Find the area of the base (rectangle)

A = LxW

= (10 in) x (8 in)

= 80 in²

Then, Find the volume of the pyramid using the formula (V = x B x H)

V = x B x H

= x (80 in²) x (6 in)

= (2 in) x (80 in²)

= 160 in³

Mr. Garcia has 15 boys and 10 girls in his math class. He selects wo students at random to demonstrate how they solved the day's challenge assignment What is the probability that both students are girls?​

Answers

Answer: 3/20

Step-by-step explanation:

Given AB and AC are lines that are tangent to the circle with
the measure of angle BAC = 40°, what is the measure of angle BDC?

Answers

Answer:

C

Step-by-step explanation:

Givens

You are given 2 tangent lines.

You are also given a 4 sided figure.

All 4 sided figures have 360 degrees

A radius meets a tangent at 90 degrees

Formula

<BDA + <DCA + <BCA + <BDC = 360

Solution

90 + 90 +40 + <BDC = 360               Combine

220 + <BDC = 360                             Subtract 220 from both sides

220- 220 +BDC =360 - 220

<BDC = 140

Answer: C

   

Write the expression. Then, complete the statements.


twice the difference of a number and seven


The word "twice" means
.

The words "the difference of" indicate


.

The expression is written as

Answers

Answer:

The equation is 2(x-7)

Hope it is correct

Answer: Write the expression. Then, Complete the statements.

.

.

twice the difference of a number and seven

Step-by-step explanation:

1. multiplication by 2

2. subtraction in parentheses

3. 2(n-7)

(05.05)
Describe the y-intercept and end behavior of the following graph:

Answers

Answer:

Y-Intercept: (0,-8), End behavior: Asymptote

Step-by-step explanation:

The y-intercept is where the line crosses the y axis, which would be (0, -8). The end behavior looks like an asymptote, but I'm not sure of how you would answer this.

Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 6?
A. 31/36

B. 1/18

C. 1/6

D. 5/36

Answers

Answer:

D. 5/36

Step-by-step explanation:

image below ill give branliest 20 points question

Answers

Answer:

I can't see image

Step-by-step explanation:

why I not see image

What is the area Of the desk

Answers

Answer:

28 ft²

Step-by-step explanation:

area of the desk = (5×4) + (4×2) = 20 + 8 = 28 ft²

Answer:

28

Step-by-step explanation:

5 times 4 = 20

4 times 2= 8

20 plus 8=28

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