=
Write an exponential function y = abx whose
graph passes through the points (1,6), (2, 18)

Answers

Answer 1

Answer:

[tex]2(3) {}^{x} [/tex]

Step-by-step explanation:

[tex]y = ab {}^{x} [/tex]

We know that when x=1, y=6

[tex]6 = a {b}^{1} [/tex]

x=2, y=18

[tex]18 = a {b}^{2} [/tex]

Notice that if we divide

[tex] \frac{ {ab}^{2} }{ab} = b[/tex]

So if we divide 18 and 6, that will give us our common ratio.

[tex] \frac{18}{6} = 3[/tex]

So our common ratio is 3.

So know we have

[tex]a(3) {}^{x} [/tex]

Plug in one of the points to find a.

[tex]6 = a(3)[/tex]

[tex]a = 2[/tex]

So the equation. we have

[tex]2 \times ({3}^{x} )[/tex]


Related Questions

solve and i’ll give brainly!

Answers

Answer:

C

Step-by-step explanation:

You first add them up

(-2x+4y)+(3y-10y)=17-3

3x-2x-10y+4y=14

Simplify and then you get

x-6y=14

If M is a midpoint of line CD and MD = 27. Find the length of CD. (Hint: Draw a picture)

Answers

Please mark my answer the brainliest and rate me 5 star and follow me.

please please please please please please

Fill in the blanks.

A quadratic trinomial’s largest exponent is ___, and it has ___ terms.

Answers

Answer:

A Quadratic Trinomial's Largest Exponent is 2 and it has 3 Terms

Step-by-step explanation:

9 1/4 −(2 1/4 + 3/7 a)

Answers

Answer: 52/ 7 = 7 3/7 = 7.429

Step-by-step explanation: I did the math work

1) Calculate ) the deposit, (use the fictional method)
2)The total monthly payments
3)The cost of using the hire purchase plan
4) the amount that can be saved by paying cash​

Answers

Answer:It might be 4. But I'm not entirely suresure.

Step-by-step explanation:

7. A card is randomly drawn from a standard deck of shuffled cards. What are the ODDS that the
card drawn is a Letter card?
A. 12.5%
B. 75%
C. 25%
D. 44%

Answers

There are 16 total "letter cards" (1 ace and 3 face cards per suit), so the probability of drawing a letter card is 16/52 = 4/13.

There are 52 - 16 = 36 non-letter cards, with probability 36/52 = 9/13 of being drawn.

Then the odds of drawing a letter card is the ratio of these probabilities,

(4/13) / (9/13) = 4/9 ≈ 44%

What is the force, in N, when a pressure of 18 N/m2 is exerted on an area of 500 cm2?
give answer in newtons

Answers

Answer:  1.6 N/cm^2

Step-by-step explanation:

Answer:

1.2nm

Step-by-step explanation:

Solve the innequality

22-x>14

also graph on number line

Answers

Answer:

x < 8

*View attached image for the inequality on a number line*

Step-by-step explanation:

22 - x > 14

-22     - 22

-x > -8

/-1     /-1

x < 8

Hope this helps!

triangles abd and ace are similar

Answers

Answer:

abd = ace? there is not enough context maybe you are missing an image that we need but this is the only feasible way I can use abd and ace are similar

Step-by-step explanation:

Write these values in order, starting with the smallest.
0.15
1/10
12%
1/20

Answers

Rewrite them all as a decimal to compare them:

0.15

1/10 = 0.10

12% = 0.12

1/20 = 0.20

Now write them in order :  1/10, 12%, 0.15, 1/20

.15 1/10 1/20 12% is the correct order

How many solutions does the system of equations below have?
y = 3x + 4
y+ 6 = 3x
O A. Exactly 1 solution
O B. More than 1 solution
O C. At least 1 solution
O D. No solution

Answers

Answer:

No solution

Step-by-step explanation:

Let's solve your system by substitution.

y=3x+4;y+6=3x

Step: Solvey=3x+4for y:

y=3x+4

Step: Substitute3x+4foryiny+6=3x:

y+6=3x

3x+4+6=3x

3x+10=3x(Simplify both sides of the equation)

3x+10+−3x=3x+−3x(Add -3x to both sides)

10=0

10+−10=0+−10(Add -10 to both sides)

0=−10

Answer:

No solutions.

A CUBIC PRISM WITH A SIDE OF 10. HAS A SURFACE AREA OF WHAT?

Answers

Answer:

=10*10*10=100

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

6 sides

each side is 10

6 x 10 = 60

In ∆XYZ, XY=14, YZ=22, and XZ=28. What is the measure of angle Z to the nearest degree?

Answers

ANSWER 33°

im hoping this helps i looked it up and this is what i got

In Mr. Kagame's Algebra 1 class, 7 students took the Unit 7 test. The class average was 78% (rounded). Six students' scores are known:HELPPP

Answers

The score of the seventh student will be given by:

[tex]x = 546 - a_1 - a_2 - a_3 - a_4 - a_5 - a_6[/tex]

What is the score of the last student?

So you know the scores of 6 of the students, let's define these as:

a₁, a₂, a₃, a₄, a₅, a₆.

And let's define x as the score of the 7th student.

We know that the average of the scores is 78% (rounded).

Then we can estimate the value of x using the average equation:

[tex]\frac{a_1 + a_2 + a_3 + a_4 + a_5 + a_6 + x}{7} = 78[/tex]

Now you can solve that for x, to get:

[tex]x = 78*7 - a_1 - a_2 - a_3 - a_4 - a_5 - a_6\\\\x = 546 - a_1 - a_2 - a_3 - a_4 - a_5 - a_6[/tex]

That is the equation to get the score of the seventh student as a function of the six known scores.

If you want to learn more about averages, you can read:

https://brainly.com/question/14532771

Answer:

82%

Step-by-step explanation:

1.) 78*7=546

2.) 546-51-67-78-78-91-99=82

The bill for a pizza and soda was $20. You want to leave a 15% tip. What will be the total amount paid for the bill?

Answers

Answer:

23

Step-by-step explanation:

20 *.15=3

20+3=23

Answer: 23

Step-by-step explanation:

20 X 0.15= 3

20 plus 3= 23

23 dollars :)

Find the inverse of f(x)=2x+1/x+6​

Answers

Answer: Look at the screenshot, hope this helps yw.

Step-by-step explanation:

Somebody plez help me with this math problem

Answers

Answer:

It's C. it's 42

Step-by-step explanation:

list the different ways to solve a quadratic equation.

thankyou ~​

Answers

Hello !

________________________________________________________

List the different ways to solve a quadratic equation ?

              1. You'll have to factoring.

              2. Using the square roots.

              3. Completing the square.

              4. And do the quadratic formula.

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Dollixna ~

what is 3 3/5 x 8 3/4?

Answers

Answer:

exact form: 63/2

decimal form: 31.5

mixed number form: 31 1/2

Suppose the distributor charges the artist a $50.00 cost for distribution, and the streaming services pay $ 5.00 per unit. (Note: One unit = one thousand streams) Model the profit for the total number of streams by answering the questions below:

1. Use the cost for distribution to build the y-intercept. What is the y-intercept?


Hint: the y-intercept is a point on the y axis, so the answer should be an ordered pair

(x,y). Keep in mind that money is being spent, and therefore must be deducted from the profit. If the y-intercept is incorrect, all related numbers will be incorrect.)


2. Use the payment per unit to build the slope. What is the slope?

Answers

5$ per unit means this is the rate of change50$ is fixed

Equation in slope intercept form

y=mx+by=5x+50

Slope:-m=5

Y intercept=b=50

The y-intercept of the function is (0, 50) and the slope of the function is 5

How to calculate the slope and y-intercept of a function?

Slope is defined as the rate of change of function. Given the following parameters

Fixed price = $50

If the streaming services pay $ 5.00 per unit, then the rate of change is $5

The required profit for the total number of streams is given as:

P(x) = 50 + 5x

1) The y-intercept is the point where the value of x is zero

P(x) = 50 + 5x

P(0) = 50 + 5(0)

P(0) = 50

Hence the y-intercept of the function is (0, 50)

For the slope

mx = 5x

m = 5

Hence the slope of the function is 5

Learn more on equation of a line here: https://brainly.com/question/13763238

#SPJ6

what is 2(3+2i) simplified

Answers

Answer:

6 + 4i

Step-by-step explanation:

2( 3 + 2i )

Multiply 2 times 3+2i.

2 × 3

+

2 × (2i)

Do the multiplications.

6 + 4i

To find the next number in the sequence: 7, 10, 13, 16,
you would need to do which of the following?
Divide 16 by 3
add 13 to 16
Multiply 16 by 3
add 3 to 16

Answers

Answer:

The answer is add 3 to 16

Step-by-step explanation:

Because if you notice the process by which the number is following from the beginning, we notice that 3 is being added to each number and by this we get the hint that the next number,3 will be added to it automatically because it's a process.

What single percentage change is equivalent to a 9% increase followed by a 17% increase? ​

Answers

Answer:

27.53%

Step-by-step explanation:

Initial number = 100

9% increase

100*1.09= 109

17% increase

109*1.17= 127.53

The difference with the initial number is:

127.53 - 100 = 27.53

27.53/100*100% = 27.53%

This is the single percentage change

Help please. I don't really understand.

Answers

ok. 1/4 is 9/36 . you do this by seeing what will give you 36 when you have a 4 . and 9/9 when you divided both you get 0.25.

again we have 4/9 and we see what we can put in to get another 36 , but we have a 9, so it’s 4. 4/9 x 4/4 = 16/36 when you divide this you them both you get 0.44 so they’re equivalent.


so 0.25 is less than 0.44

basically it’s saying 25<44

so 1/4 is less than 4/9

Given Limit of f (x) = negative 4 as x approaches c and Limit of g (x) = one-fifth as x approaches c. What is Limit of left-bracket StartFraction g (x) Over f (x) EndFraction right-bracket as x approaches c?

Negative StartFraction 20 Over 1 EndFraction
Negative five-fourths

Answers

Answer:

-1/20

Step-by-step explanation: Took Test on Edge 2022

Answer:

answer is -1/20

Step-by-step explanation:

because im so cool just trust!

a. The number 6 is 7 units away from 13 on a number line.
Which other integer is 7 units away from 6 on a
number line?

B.which integers are 10 units away from 5 on a number line?

C.Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?

Please answer thiss, thank you guys so much!!!!!!! :)

Answers

Yes let's see

#1

6+7=136-7=-1

Thats -1

#2

5-10=-5

Thats -5

#3

Right means positive

-7+4=-3

PLEASE HELP! I WILL GIVE BRAINLIEST FOR A RIGHT ANSWER

Answers

Answer:

Step-by-step explanation:

Find all real solutions Tan pi/3 x-3=0

Answers

Step-by-step explanation:

If the question is like this,

[tex] \tan( \frac{\pi}{3}x - 3 ) = 0[/tex]

We take the arc tan of both sides.

[tex] \tan( - 1) ( \tan( \frac{\pi}{3}x - 3 ) = \tan {}^{ - 1} ( {}^{ }0 ) [/tex]

[tex] \frac{\pi}{3} x - 3 = 0[/tex]

[tex] \frac{\pi}{3} x = 3[/tex]

[tex] = \frac{9}{\pi} [/tex]

Since the period of a tan function, is pi, we divide pi by pi/3 since pi/3is the coeffeicent of the x variable

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

So the answer is

[tex] \frac{9}{\pi} + 3n[/tex]

If this the question,

[tex] \tan( \frac{\pi}{3} x) = 3[/tex]

[tex] \frac{\pi}{3} x = 1.249[/tex]

[tex]x = \frac{3.747}{\pi} [/tex]

The period is once again 3 so we have

[tex] \frac{3.747}{\pi} + 3n[/tex]

where n is a interger.

PLEASE HELP! Will give brainliest and 20 points
4b) Find the area of the following shapes.

Answers

Answer:

180

Step-by-step explanation:

To find the area of the rectangle, multiply 15 by 9

15 x 9 = 135
To find the area of the triangle, multiply 15 by 6, then divide by 2
15 x 6 = 90
90/2 = 45
Now add these two numbers to get the total area.
135 + 45 = 180
Hope this helps :)

The answer is 180 think so I’m not sure

Help asap please!

Based on the graph, what essay score would be expected for a person with a shoe size of 14?

A 70, based on the negative association

B It cannot be determined because there is no association

C 80, based on the nonlinear association

D 90, based on the positive association.

Answers

Answer: I think its B but it could be A i dont know

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