Write an

exponential function in the form y = ab^x

that goes through points (0,13) and (3,832).

Answers

Answer 1

Answer:

y = 13 × [tex]4^{x}[/tex]

Step-by-step explanation:

Substitute the given values into the exponential

Using (0, 13 ) , then

13 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , so

a = 13

y = 13 [tex]b^{x}[/tex]

Using (3, 832 )

832 = 13 b³ ( divide both sides by 13 )

64 = b³ ( take cube root of both sides )

b = [tex]\sqrt[3]{64}[/tex] = 4

The exponential function is

y = 13 [tex](4)^{x}[/tex]


Related Questions

Can someone help me with this it’s my homework…
*please don’t just answer with anything for points or I will report you*

Answers

Answer:

(-3, -9)

Step-by-step explanation:

Find the difference in the x and y values of the original point (-8, -9) and the translated point (-11, -14) and apply them to the given point (0, -6). -11 - (-8) = -3 for the x, and -14 - (-9) = -5 for the y. This means you must subtract 3 and subtract 5 from a point to get the translation. 0 - 3 = -3 for the x value of the point, and -6 - 3 = -9 for the y value. This gives you a translated point of (-3, -9).


MULTIPLE CHOICE QUESTION

————————————————-

What do you do to solve for b?

Multiply 36 and 16
Subtract 36 and 16
Add 36 and 16
Divide 36 and 16

Answers

Answer:

Subtract 36 and 16

Step-by-step explanation:

16 + b^2 = 36

Subtract 16 from each side

16+b^2 -16 = 36-16

b^2 = 20

Take the square root of each side

sqrt(b^2) = sqrt(20)

b = sqrt(20)

simplify the following expression

Answers

Answer:

x^4/64y^10

Step-by-step explanation:

Answer:

=4

Step-by-step explanation:

823 can be written as

3√82

=3√64

=3√(4)(4)(4)

=4

Solve the equation. 2p + 15 − 11p = 3(5 − 3p)

Answers

0=0

For the full explanation simply copy and paste your equation to your device browser.

Answer:

2p+15-11p=3(5-3p)

2p-11p+15=15-9p

-9p+9p=15-15

p£R

Which expression correctly represents 10 less than a number cubed?

Answers

(x^3)-10

Sorry I can’t see pic

Brainliest is appreciated

Answer:

a

Step-by-step explanation:

[tex]c^{3} - 10[/tex]

Una membresía de 2 meses para el gimnasio cuesta $ 125. A Jim le gustaría ser miembro durante 8 meses. ¿Cuál es la cantidad total que pagará durante 8 meses?​

Answers


la respuesta es 500$

Plz Im really stuck on this question also plz show work so I understand how to get this question.

Answers

Answer:

x ≈ - 0.14

Step-by-step explanation:

6(4x + 5) = 3(x + 8) + 3 ← distribute parenthesis on both sides

24x + 30 = 3x + 24 + 3 , simplify

24x + 30 = 3x + 27 ( subtract 3x from both sides )

21x + 30 = 27 ( subtract 30 from both sides )

21x = - 3 ( divide both sides by 21 )

x = [tex]\frac{-3}{21}[/tex] = - [tex]\frac{1}{7}[/tex] ≈ - 0.14 ( to the nearest hundredth )

Use the​ slope-intercept form to graph the equation y = -4/3 x + 1

Answers

Answer:

the y intercept is 1 so you plot (0,1) on the graph, then you take -4/3 and go up 4 from the y intercept and over the left 3 times. Finally you go back to the y intercept and got down 4 and to the right 3 time then connect it with a line with arrows on both ends. hope this helps!

Helppppp pleaseeee I will mark brainliest

Answers

The answer is 25 square feet

determine the value of x.

No links please!

Answers

Answer:

44.785

Step-by-step explanation:

Jason deposits $1500 in an account that earns 6% interest compounded monthly. How much will Jason have after 10 years?

Answers

Compound interest formula:

Total = principal( 1 + interest rate/number of compounds per year)^ (compounds x years)

Total = 1500(1 + 0.06/12) ^ (12 x 10)

Answer: $2,729.10

Write the equation of the graph below in slope intercept form.

(2,0) and (0,-3)

Step by step

Answers

Answer:

y2- y1 over

x2 -x2

[tex] - 3 - 0 = - 3[/tex]

[tex]0 - 2 = - 2[/tex]

Step-by-step explanation:

slope is m =

[tex]m = - \frac{3}{2} [/tex]

use the -3 for b and you get

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

slope intercept form

I will Brainlist Who can Answer this 4 Question Math

Match the situation with the corresponding linear system. Write the letter of your answer.​

Answers

Answer:

6) B

7) D

8) C

9) A

Step by step explanation:

6) Brand A sold 12 notebooks

Brand B sold 28 notebooks

7)

8) 30 pieces of 100-peso bills

10 pieces of 50-peso bills

9) 4 packages have 2 pieces

6 packages have 3 pieces.

list the coordinate for both pairs.

Answers

Answer:

Hi I hope this helps

A = X : -3 Y : -3

B = X : -2 Y : 1

Step-by-step explanation:

please let me know if it's right or wrong

Deriva (x+3)/(x-3)
Ayudis

Answers

jhjbStep-by-step explanation:

Alicia had 418tons of fertilizer spread evenly across 216acres of land. How many tons of fertilizer are on each acre?

Answers

Answer:i know hwere you live

Step-by-step explanation:

you are in 7th grade aaand live in houston texas

Measure of 133 degrees rotated 180 degrees

Answers

Answer:

313°

Step-by-step explanation:

decrease 9.375. by 4.37

Answers

Answer:

5.005

try that, im pretty sure you subtract

5.005 is the answer: 9.375-4.37 since it says decrease

The temperature at 6pm is
54℉. The temperature at 10pm
is 42℉. How many degrees did
the temperature fall?

Answers

Answer:

12

Step-by-step explanation:

Answer:

12°F??¿??¿????¿??!??????????

if a mine inspector starts at level -13 and goes up 3 levels and goes up 3 more levels at what level is she at ?? ​

Answers

Answer:

The mine inspector is at level -7

Answer: -13 + 3 + 3 = -7

Choose the expanded form for the expression.
4(1/4a+b+(-6)
A. a+b-24
B. 4a-6b
C. 4a+b-6
D. a+4b-24

Answers

Answer is D. Multiply 4 into each item in the parentheses.

NEED HELP ASAPfind the missing number and fill in the blank to make it true35 + ?? = 7(5 + 3)

Answers

Answer:

x = 21

Step-by-step explanation:

35 + ?? = 7(5 + 3)

1. Expand the brackets on the right:

35 + x = 35 + 21

2. Cancel out 35 from both sides

x = 21

Please solve this law of indices question
and don't give studip ans
i will mark as brainlisted ​

Answers

Answer:

hope you understand .............

Someone PLZ answer this I willl give brainliest

Answers

Answer:

8

1

1/2

20

Step-by-step explanation:

hope helful plsgive brainliest

Answer:

[tex]\frac{1}{2}[/tex]  is the 3rd one  1 is the last one 20 is the first one  8 is the second one

Step-by-step explanation:

please solve this question...​

Answers

Answer:

Refer to the attachment

Please help
10 points and I will give you brainliest

Answers

Step-by-step explanation:

here u go.

hope it helps you

Answer:

-10

Step-by-step explanation:

5ab-4bc+8ab+9=

1) 5ab+8ab=13ab

2) 13ab-4bc=b(13a-4c)

3) b(13a-4c)+9= (-1)( 13×3-4×5)+9= -19+9= -10

Write 0.0038 as a fraction.

Answers

Answer:

0.0038 = 19/5000

Vickie was born on this day in 1981. Including leap years, how many seconds old is Vickie?

Answers

Answer:

Vickie is about 1,256,428,800 seconds old.

Step-by-step explanation:

1 year = about 31,536,000 seconds

2021 - 1981 = 40

39 × 31,536,000 = 1,229,904,000 (total 365-day years in seconds discluding this year)

____________________________________________

Now, add the leap days.

Since 1981, there has been 10 leap years, meaning 10 leap days.

1 leap day = about 86,400 seconds

86,400 × 10 = 864,000 (total leap day seconds)

____________________________________________

Today is 10/24/2021, so it is the 297th day of the year.

1 day = exactly 86,400 seconds

297 × 86,400 = 25,660,800 (total seconds this year)

____________________________________________

Add all values to get the total amount of seconds.

1,229,904,000 + 864,000 + 25,660,800 = 1,256,428,800 (total seconds of how old is Vickie)

find gcf

16x^2 -16+3

Answers

Answer:

13

Step-by-step explanation:

Step 1 to find gcf of  16x^2 -16+3  is factor out  the equation = (4x)^2  -13   =  (4x+13)(4x-13) So we factor to show one - and one + and then step 2 we then divide 4/4  -13/4 and 4/4 13/4  and cancel out 4/4 and see what we are left with =  x>+ - 13/4  = 3  1/4    we can now find gcf by working out 16x^2 = 16(3 1/4)^2 = 16(10.5625) = 169  and  the gcf of 169 and +- 13  =  13

Tổng các góc của tứ giác bằng bao nhiêu

Answers

Answer:

tổng các góc của tứ giác bằng 360 độ

Step-by-step explanation:

ha? what language is that?

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