Write and exponential function in the form y=ab^x that goes through points (0,17) and (5,4131)

Answers

Answer 1

Answer:

[tex]y = 17(3^{x} )[/tex]

Step-by-step explanation:

When x = 0, y = 17  So,  [tex]17 = kb^{0} = k(1) = k[/tex]

Now, [tex]y = 17b^{x}[/tex]

When x = 5, y = 4131  So, [tex]4131 = 17b^{5}[/tex]

[tex]b^{5} = 4131/17 = 243 = 3^{5}[/tex]

b = 3

Therefore, [tex]y = 17(3^{x} )[/tex]


Related Questions

Write the equation of the line 1x + 3y = 6 in y = mx + b form.

Answers

Answer:

y = -1/3x + 2

Step-by-step explanation:

1x + 3y = 6

3y = -x + 6

y = -1/3x + 2

Answer:

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

Step-by-step explanation:

1x + 3y = 6

We want the y to be isolated, so we subtract x from both sides,

3y = 6 - x

Now we divide everything by 3, to isolate y

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

14$ plus 6% tax. $16 plus a 6%. Round to your nearest

Answers

Answer:

For 14 & tax: $14.84

For 16 & tax: $16.96

Step-by-step explanation:

14*0.06 = 0.84, 14 + 0.84 = 14.84

16*0.06 = 0.96, 16 + 0.96 = 16.96

What's do you think that is delaying the development of African countries?​

Answers

Answer:

Poverty in Africa is caused by corruption and poor governance, poor land utilisation and land tenure system, civil wars and unending political conflicts, poor infrastructure, diseases and poor health facilities, the World Bank and IMF policies, among others.

Help me plssss pls help plsss

Answers

Answer:

Step-by-step explanation:

5) Diameter  of the circle = 2 * 11.5 = 23 in

6) Radius of the circle = 11.5 in

7) Circumference = πd = 3.142 * 23 = 72.26 in

8) Area = πr² = 3.142 * 11.5 *11.5 = 415.48 in²

Pls help I don’t get it

Answers

Answer:

Rotation 90 degrees counter clockwise, dilation of 6, translation down

Step-by-step explanation:

Find the 10th term 1.2.4.8.

Answers

Answer:

512

Step-by-step explanation:

1+1 = 2

2+2 = 4

4+4 = 8

8+8 = 16

16+16 = 32

32+32 = 64

64+64 = 128

128+128 = 256

256+256 = 512

they add the answer by itself. hope this helps

Cate and Elena were playing a card game. The stack of cards in the middle had 26 cards in it to begin with. Cate added 8 cards to the stack. Elena then took 7 cards from the stack. Finally, Cate took 7 cards from the stack. How many cards were left in the stack?

Answers

20 cards are left 26+8=34-14=20 (14 because they both took 7)

Given a 17-sided polygon, what is the sum of the measures of the exterior angles?

Answers

Answer:

360 degree

Step-by-step explanation:

A seventeen sided polygon or a 17 sided polygon the rule is same that the sum of the measures of the exterior angles is 360.

Plzzz tell me someone kno how to do this!!
I'll mark brainliest

Answers

Answer:

21.6

Step-by-step explanation:

If x=14.4

And BC= 36

36-14.4= y

21.6= y= DC

help me please - i'll give you 10 points.

Answers

Answer:

a.

Step-by-step explanation:

this is a y = mx + b equation

the “B” is the y-intercept. So look where the line crosses the 6 axis. The equation says -1. Right away, there are only two answers that could possibly be it. A and B. The Lines both cross at -1 on the y-axis.

the ”mx“ part of the equation is the slope. Slope is the change in y over the Change in x.

in other words:

y1-y2

———

x1-x2

another thing is that slope in this equation is negative. This means the line is decreasing or going/pointing down. The only possible answer is a.

Answer is a.
Don’t really know how to explain it

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PLSSSS SHOWWW THE WORKKK!!!!

Answers

Answer: y^2/x

Step-by-step explanation:

Jenny wants to rent a truck. She contacts two truck companies. Avis truck company charges $20 plus $2 per mile. Budget truck company charges $3 pe mile. At how many miles will the charge be the same for both companies ?

Answers

Answer: 20 miles

Step-by-step explanation:

From the question, we are informed that Avis truck company charges $20 plus $2 per mile and that Budget truck company charges $3 per mile.

Let the number of miles that the charge will be the same for both companies be represented by x. This can then be used to form an equation as:

20 + 2x = (3 × x)

20 + 2x = 3x

3x - 2x = 20

x = 20

The charge will be thesame at 20 miles

What is the slope of y= 6x + 6?

Answers

Answer:

6

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Answer:

6

Step-by-step explanation:

Slope-intercept form is written y=mx+b.

y= always by itself (in slope-intercept form)

m= the slope (in this case, 6)

x= the letter that the slope is always next to

b= the y-intercept

Hope this helps you out and have a nice day ❤

please help me. find m<4

Answers

Answer:

m < 38

Step-by-step explanation:

122

20 +

142

180-

142

m < 38

Harrison wants to buy a new baseball glove that costs $37.99. The store charges 7.8% tax for every purchase. If Harrison pays for the glove with a $50 bill, how much change should he receive?

Answers

Answer:

jhhhhh

Step-by-step explanation:

hgvjjjyy

this will help me a lot if you anwser this

Answers

I think the answer may be B but I don’t really know

Find the value of x in the equation below 5= x/6

Answers

Answer:

x=30

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

To find the value of x in an equation, our goal is always to isolate it so that it's on one side of the equal sign while everything else is on the other. We can do this by performing inverse operations to cancel values out (for example, the inverse operation of addition is subtraction and the inverse operation of division is multiplication).

5=x/6

Because x is being divided by 6, we multiply both sides by 6 to cancel it out on the side with x.

5×6=(x/6)×6

5×6=x

30=x

I hope this helps!

which number line shows the solution to the inequality? y-2 > -5

Answers

Answer:

Step-by-step explanation:

It's C.

Fill in the blanks with NUMERICAL ANSWERS ONLY. Round all decimals to the nearest hundredth.

Find the hemisphere’s diameter if its radius is 6 cm.
centimeters

Find the hemisphere’s diameter if its radius is 9.008 ft.
feet

Find the hemisphere’s radius if its diameter is 6 cm.
centimeters

Find the hemisphere’s radius if its diameter is 9.008 ft.

Answers

Answer:

wdym

Step-by-step explanation:

4 7/14 - 9/14 (simplify it)

Answers

The answer to this question is 3 5/7

The answer is 3 5/7 hope this helps

jared has mowed 2/5 of the yard abby says that jason has mowed 4/6 of the yard is abby correct explain

Answers

Answer:

No, she is not correct

Step-by-step explanation:

[tex]\frac{2}{5} \neq \frac{4}{6}[/tex]

[tex]\frac{2}{5} = \frac{4}{10}[/tex]

Find the value of x: x/6 = 16/48

Answers

Answer:

x = 2

Step-by-step explanation:

x/6 = 16/48

48x = 6 . 16

48x = 96

x = 96/48

x = 2

Write an equation of the line that passes through the given point and is parallel to the given line.
(4,7),y=5x-3
can you show how you solved it please ​

Answers

Step-by-step explanation:

y = 5x - 3 is in slope-intercept form.

The slope of this given line is 5,

=> Parallel line will also have slope 5.

We have y = 5x + c, where c is a constant.

When x = 4, y = 7.

=> (7) = 5(4) + c, c = -13.

Therefore the answer is y = 5x - 13.

Alfred has a lawn service. He earns $40 for every 3 lawns he mows. Which of the following
represents the rate of change his income with respect to the number of lawns he mows?
$50
4 lawns
$53.33
4 laws
4 laws
$50
4 laws
$53.33

Answers

Answer: I don’t think I’m right but 53.33

Step-by-step explanation:

2.
There are 12 girls and 38 boys in the 4th
Grade at an Elementary School. Of these
students, 9 girls and 3 boys are in the art
club. What percentage of the fourth graders
at this Elementary School are in the art club?

Answers

Answer:

38 students are not in the art club while 12 student are in the art club.

Step-by-step explanation:

Percent I am not exactly sure, I'm sorry, still I hope this somehow helped!

you need 3 sticks of butter for every 24 cookies you bake how many sticks of butter do you need for 16 cookies

Answers

Answer: 2

Step-by-step explanation:

24 divided by 3 is 8 so 1 stick of butter makes 8 cookies so 2 sticks of butter make 16 cookies(2 x 8)

Answer:

2 sticks of butter

Step-by-step explanation:

First, let's figure out how many cookies you can make with one stick of butter. So, we can divide 3 by 3 and 24 by 3...

[tex]\frac{3}{3} = 1\[/tex]

[tex]\frac{24}{3} = 8[/tex]

Now that we know that 1 stick of butter makes 8 cookies, we can multiply the amount of cookies till it becomes 16...

8×? = 16

We could rewrite this equation as division...

16÷8 = 2 sticks of butter

Now we know that we need 2 sticks of butter for 16 cookies...

Hope this Helps!!!

Please help me, I need this ASAP.

60 POINTS

Answers

Answer:

Yes the ordered pair is a solution

Step-by-step explanation:

plug on the numbers

2< 2(-1) +8

2 < 6

4(2) > -4(-1)-6

8> 4-6

8> -2

The regular price for a pair of jeans is $36. the sale price is 45% off the regular price. What is the sale price of jeans?

Answers

Answer:

16.2

Step-by-step explanation:

Change the 45% into 0.45 and then multiply it by 36.

PLS HELP ME ON THIS!!

Answers

Answer:

Step-by-step explanation:

DC = AD

DC = 8.5

By the Parallelogram opposite sides theorem

I need help with Geometry

Answers

I think the correct answer would be B
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