Write the equation in the form y = a • b^x given the table below.​

Write The Equation In The Form Y = A B^x Given The Table Below.

Answers

Answer 1

9514 1404 393

Answer:

  y = 1 · 5^x

Step-by-step explanation:

Use the given values in the given formula and solve for 'a' and 'b'.

  y = a·b^x

  5 = a·b^1 . . . . . . for (x, y) = (1, 5)

  125 = a·b^3 . . . . for (x, y) = (3, 125)

Divide the second equation by the first:

  125/5 = (a·b^3)/(a·b^1)

  25 = b^2 . . .  simplify

  5 = b . . . . . . . take the square root

Substituting into the first equation, we can find 'a':

  5 = a·5

  1 = a . . . . . . . divide by 5

Written in the given form, the equation is ...

  y = 1 · 5^x


Related Questions

Amelia can spend no more than​ $89 to rent a car for a day trip. A rental car costs​ $35 per day plus​ $0.20 per mile. Write and solve an inequality to find the possible distance in miles m that Amelia can drive without exceeding her budget.

Answers

Answer:

35 + 0.20m ≤ 89

m = 270

Step-by-step explanation:

35 + 0.20m ≤ 89

- 35                 -35

0.20m ≤ 54

÷.20       ÷.20

m = 270

What is arc XW and how do I find it?
Links= Reported

Answers

you have to know that the sum of angles of any quadrilateral shape is equal to 360 after finding the value of X we substituted it in the unknown angles . Also you have to know that angle V is an inscribed angle so the arc which is opposite to is double the angle for example if the angle is equal to 2 so the arc must equal to 4

Is x+y is an algebraic expression?
A. Yes
B. No
C. Cannot be identified
D. None of these

Answers

Answer:

A. Yes

Step-by-step explanation:

It depends on the definition of "algebraic expression", and especially the meaning of "algebraic" you take to use in your context. If you talk from a high-school perspective, then yes, x+y−π is an algebraic expression, because... well, it looks like algebra and has algebraic-looking characters.

Answer:

A. Yes

Step-by-step explanation:

Yeah, x+y is an algebraic expression. This statement is correct. So, option (A) is the correct answer.

Shawn has a set of 125 marbles. He is organizing his marbles into 5 equal groups. How many marbles should he put in each group?

Answers

Answer:

He should put 25 marbles in each group because 125/5 is equal to 25.

Find the value of x.
SO
3x + 7
3xt7H60t60=180
3x+ 147=180
- 147
(

Answers

I’m not sure if I remember well but I think it’s the answer!

Find the radius of the button.

Answers

Answer:

the radius of the button is 2.5cm

find the median of the given data. 12,40,65,19,7,44,30,44,37​

Answers

Frey’s theft ig this food

Answer:

Step-by-step explanation: just

∠WXY and ∠ZXY are adjacent angles. What equation must always be TRUE? m∠WXY=m∠ZXY
m∠WXY+m∠ZXY=90°
m∠WXY+m∠ZXY=180°
m∠WXY+m∠ZXY=m∠WXZ

Pls actually answer and fast

Answers

Answer:

m∠WXY+m∠ZXY=m∠WXZ

Step-by-step explanation:

You don't know the angles to be congruent (equal measures), complementary (measures add to 90 deg), or supplementary (measures add to 180 deg); all you know is that they are adjacent, so the sum of the measures of the two smaller angles equals the measure of the larger outer angle.

Answer: m∠WXY+m∠ZXY=m∠WXZ

The equation that should be true is  m∠WXY+m∠ZXY=m∠WXZ

Angles:

The angles should be congruent when it is equal measures, It should be complementary when it measures add to 90 deg, or supplementary when it measures add to 180 degree. Moreover, the sum of the measures of the two smaller angles should be equivalent to the measure of the larger outer angle.

Learn more about angle here:https://brainly.com/question/24625978

Need help will give you the brainliest

Answers

Answer:

147?

Step-by-step explanation:

look at pic......................................

Answers

Answer:

I'm not sure tbh, sorry .

PLEASE WILL GIVE THE BRAINIEST ANSWER!

Answers

Answer:

The fast food restaurant has the higher unit price

Amelia runs a catering business. Based on her records, her weekly profit can be modeled by P=-2x^2+152x-150P=−2x 2 +152x−150, where xx is the number of meals she caters and PP is her profit.

Answers

Answer:

The least number of meals Amelia needs to cater in order to begin making profit = 38 meals.

Step-by-step explanation:

Given - Amelia runs a catering business. Based on her records, her weekly  

            profit can be modeled by P= -2x² + 152x - 150, where x is the  

            number of meals she caters and P is her profit. When P is negative,  

            Amelia losses money.

To find - What is the least number of meals Amelia needs to cater in order  

              to begin making profit.

Proof -

As given, P = -2x² + 152x - 150

Now,

Above the break-even point, she only get profit

The break -even point is a point where there is no profit, and no loss.

Now,

For break-even point,

[tex]\frac{dP}{dx} = 0[/tex]

⇒[tex]\frac{d}{dx}( -2x^{2} + 152x - 150) = 0[/tex]

⇒-4x + 152 = 0

⇒- 4x = - 152

⇒4x = 152

⇒x = [tex]\frac{152}{4}[/tex] = 38

∴ we get

If Amelia caters at least 38 meals , then she makes Profit.

What is one tip the text gives for taking care of the brain?
Protect yourself from head injuries.
Sleep three to five hours every night.
Drink more caffeinated soda.
Watch more TV.

Answers

Answer:

the first one

Step-by-step explanation:

Rodrigo and Melissa went to the art supply store to buy drawing materials. Rodrigo bought 10
pencils and 7 felt-tip markers for a total of $19.00. Melissa bought 3 pencils and 5 felt-tip markers
for a total of $10.05. Which of the following systems of equations could be used to determine
the cost of one pencil, P, and one felt-tip marker, m?

Answers

Answer:

10P + 7m = 19 .......... 1

3P + 5m = 10.05 .......... 2

Step-by-step explanation:

Let the cost of pencil be represented by P, and felt-tip by m. So that;

Rodrigo bought 10 pencils and 7 felt-tip at the cost of $19.0.

⇒ 10P + 7m = 19 .......... 1

Melissa bought 3 pencils and 5 felt-tip at the cost of $10.05.

⇒ 3P + 5m = 10.05 .......... 2

From equations 1 and 2,

10P + 7m = 19 .......... 1

3P + 5m = 10.05 .......... 2

Multiply equation 1 by 3, and 2 by 10 to have;

30P + 21m = 57 ......... 3

30P + 50m = 100.5 ....... 4

Subtract equation 3 from 4,

30P - 30P + 50m - 21m = 100.5 - 57

29m =43.5

m = [tex]\frac{43.5}{29}[/tex]

 = 1.5

m = 1.5

Substitute the value of m in equation 2,

3P + 5m = 10.05 .......... 2

3P + 5(1.5) = 10.05

3P = 7.5 = 10.05

3P = 3

P = 1.0

Thus, the cost of a pencil is $1.0 and that of a felt-tip is $1.5.

What’s the answer ????

Answers

Answer:

A-1

Step-by-step explanation:

It perfectly represents the scenario.

Answer:

A - 2

Step-by-step explanation:

younger  =  -

A - 2

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Hai hai please help thank you

Answers

Answer:

one would be (14,6)

(16,0)

If you are using algebra tiles to factor a trinomial of the form ax2 + bx + c, when would you need to bring in zero pairs? Why?

write 10-15 sntences why you chose the answer you chose






it's for 50 pts

Answers

50 points is a lot man

whats -10/2 as a decimal

Answers

Answer:

Just -5.0

Step-by-step explanation:

10 divided by 2 is 5, since it's negative the answer is negative

Answer:  -5

Step-by-step explanation:

500g of an item costs $12. Use the unitary method to find the equivalent cost of 320g.
a Find the cost of 100g for each price.
b Which size can is sold at a cheaper rate?

Answers

a) 500g=$12 -> 100g=12:5 100g=$2,40
20g=2,40:5=$0,58
320g=3x2,40+0,58
320g=7,20+0,58
320g=7,78$

The spinner is divided into a equal sections which two events have the same probability

Answers

Answer:

its A

Step-by-step explanation:

help me please i will give brainliest !!!

SOLVE FOR X

Answers

Answer:

x = 5

Step-by-step explanation:

6/12 = 9/(2x+8)

2x+8 = 18

2x = 10

x = 5

How can i solve -7(-8+10-5)

Answers

Answer:

11

Step-by-step explanation:

PEMDAS

Answer: 56-70+35 hope this helps

Step-by-step explanation: -7x-8 (neg x neg = positive), -7x10, -7x-5

WILL MARK YOU BRAINLIEST

Answers

i think x = 78
because 21/14 = 1.5
so x = 1.5*52
x = 78

Solve x – 2y = 12 if the domain is {–3, –1, 0, 2, 5}.

Answers

Answer:

Step-by-step explanation:

Answer:

answer is below

Step-by-step explanation:

x - 2y = 12

First step is to solve for y, so

[tex]x - 2y = 12[/tex]

Then, subtract x on both sides to isolate the variable, y.

[tex]-2y = -x + 12[/tex]

Divide both sides by -2

[tex]y = \frac{1}{2}x - 6[/tex]

------------------------------------------------------------------------------------------------------

The domain is {-3,-1,0,2,5}

Domain is the set of x values

Range is the set of y values

We are given the domain x, we need to find out the y values using the equation: [tex]y= \frac{1}{2}x - 6[/tex]

[tex]y = \frac{1}{2}(-3) -6 = \frac{-15}{2} = -7.5\\\\y = \frac{1}{2}(-1) -6 = \frac{-13}{2} = -6.5\\\\y = \frac{1}{2}(0) -6 = -6\\\\y = \frac{1}{2}(2) -6 = -5\\\\\\y = \frac{1}{2}(5) -6 = -\frac{7}{2} = - 3.5[/tex]

therefore,

when x is -3: y = -7.5

when x is -1: y = -6.5

when x is 0: y = -6

when x is 2: y = -5

when x is 5: y = -3.5

Range is {-7.5, -6.5, -6 , -5, -3.5}

hope this helps and is right :)

p.s. i really need brainliest

what's the value of x
[tex] {x}^{2} - {15}^{2} = {8}^{2} [/tex]

Answers

[tex] {x}^{2} - {15}^{2} = {8}^{2} \\ \\ {x}^{2} - 225 = 64 \\ \\ {x}^{2} = 64 + 225 \\ \\ {x}^{2} = 289 \\ \\ x = 17[/tex]

The value of X would be plus and minus 17 for the fact you got the square root of 289.

A savings account pays interest at a rate of R% per year.
Jack invests £5500 in the account for one year.

At the end of the year, Jack pays tax on the interest at a rate of 40%.
After paying tax, he gets £79.20.

Work out the value of R

Answers

Answer:

.

Step-by-step explanation:

Answer:

2.4%

Step-by-step explanation:

79.20/0.6=132

132/5500*100=24%

A rectangular prism has length of 2 units, a width of 1 1/2 units, and a hight of 3 1/2 units. What is the volume of the prism?

Answers

Answer:

v = 10.5

Step-by-step explanation:

v = l× w× h

v = 2 × 1 1/2 × 3 1/2

good luck, i hope this helps :)

Answer:

10 1/2

Step-by-step explanation:

V = lwh

l = 2

w = 1 1/2 or 1.5

h = 3 1/2 or 3.5

2 x 1.5 x 3.5

10.5 or 10 1/2

Somebody help me plss

Answers

Answer:

6)B 7)C 8)B 9)D 10)c

Step-by-step explanation:

i think i did them all correct

Polygon B is a scaled copy of Polygon A using a scale factor of 5.
How many times larger is the area of Polygon B than the area Polygon A?

Answers

Answer:

25 times

Step-by-step explanation:

Since polygon A is enlarged by a scale factor of 5 to get a Polygon B, therefore,

Area of polygon B : Area of polygon A = 5² : 1²

Area of polygon B : Area of polygon A = 25:1

This, this implies that the area of polygon B is 25 times the area of polygon A.

Multiply (-4)(-2)(-5).
-40
-8
08
40

Answers

Answer:

-40

Step-by-step explanation:

[tex](-4)(-2)(-5)\\\\\mathrm{Remove\:parentheses}:\\\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\\\=-4\times\:2\times\:5\\\\=-40[/tex]

Answer:

-40

Step-by-step explanation:

(-4)(-2)(-5)

(8)(-5)

-40

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