Mathematics High School

Which equation of an exponential function has a graph that passes through the points
(1,5) and (2,15)?

Answers

Answer 1

Answer:

[tex]y = \frac{5}{3} (3^{x} )[/tex]

Step-by-step explanation:

In general, [tex]y = k(b^{x})[/tex]

Substitute x = 2, y = 15

(1)      [tex]15 = kb^{2}[/tex]

Substitute x = 1, y = 5

(2)      [tex]5 = kb^{1} = kb[/tex]

Divide equation (1) by equation (2)

[tex]\frac{15 = kb^{2} }{5= kb }[/tex]

3 = b

Now substitute b = 3 in equation (2) to find k

5 = k(3)

[tex]k = \frac{5}{3}[/tex]

Since we know the values for k and b, we now have the exponential function that passes thru (1, 5) and (2, 15)

[tex]y = \frac{5}{3} (3^{x} )[/tex]

Related Questions

Find the quotient of 1 1/4 and 3 1/2 express your answer in simplest form

Answers

Answer:

11/14

Step-by-step explanation:

11/4 / 3 1/2

3 1/2= 3*2+1= 6+1=7/2

11/4 * 2/7= 22/28

22/2=11

28/2= 14

11/14

11/14 is the answer! (Quotient in simplest form)

What is the probability of rolling an even number on a number cube and flipping a head with a fair coin?

Answers

1
:
1
.
Explanation:
Probability =
number of desirable outcomes
total number of possible outcomes
On a die, (number cube), there are 6 numbers, 3 of them are even
,
the probability of throwing an even number:
3
6
=
1
2
Odds =
number of desirable outcomes
number of non-desirable outcomes
, often written as
a
:
b
instead of
a
b
.
So the odds of rolling an even number are
3
:
(
6
−
3
)
=
1
:
1
.
aka 50%

what ratio is equivalent to 6 out of 15

Answers

Answer:

40%

Step-by-step explanation:

Answer:

2:5

Step-by-step explanation:

6/15 divided by 3/3 = 2/5

2/5 is the most simplified it can get

2:5

There is a line whose slope is and whose y-intercept is 20. What is its equation in
12
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit

Answers

Answer:

Step-by-step explanation:

y = (1/12)x + 20

A large balloon is tethered to the ground using a 95-foot cable. The wind is pushing the balloon so that the
cable is making a 70 degree angle with the ground. Approximately how high is the balloon?
Use and label the diagram in the work space to help determine the height of the balloon.
Round your answer to the nearest tenth.

Answers

Answer:

Given the value of the trigonometric function, find the value of the other 5 ... A 25-meter line is used to tether a helium-filled balloon. Because of a breeze, the line makes an angle of approximately 75° with the ground. a. ... and use a variable to indicate the height of the balloon.

Step-by-step explanation:

WHAT DIVIDED BY 9 = -5

Answers

Answer:

−1.8

Step-by-step explanation:

To buy a new game, Sofia saved up $33.57. Her friend Demetrio saved up $21.34. How much money did they save up together? Show your work or explain the answer

Answers

They saved 54.91 add 33.57+21.34

Answer:

They saved up $51.91

33.57 + 21.34 = 51.91

Can someone help me????

Answers

is there anything more to it?

PLEASE HELP MEEEEE THAnK YOU

Answers

-6,2

That is da answer :)

Caroline is going to invest $5,500 and leave it in an account for 10 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Caroline to end up with $10,100?

Answers

Answer:

6.1

Step-by-step explanation:

I just know

Which ordered pair is a solution of the equation 3x − y = −10?
A. (3, 19)
B. (−10, −19)
C. (−10, −21)
D. (−3, −2)

Answers

Answer:

c

Step-by-step explanation:

If the endpoints of the diameter of a circle are (6, -2)and (-6 ,2)what is the standard form equation of the circle

Answers

Answer:

[tex]x^2 + y^2 - 40 = 0[/tex]

Step-by-step explanation:

Given

[tex](h_1,k_1) = (6,-2)[/tex]

[tex](h_2,k_2) = (-6,2)[/tex]

Required

Determine the equation of the circle

First, calculate the midpoint of the given coordinates:

[tex](h,k) = \frac{1}{2}(h_1+h_2,k_1+k_2)[/tex]

[tex](h,k) = \frac{1}{2}(6-6,-2+2)[/tex]

[tex](h,k) = \frac{1}{2}(0,0)[/tex]

[tex](h,k) = (0,0)[/tex]

Next, calculate the radius.

This is the distance between [tex](0,0)[/tex] calculated above and any of [tex](6,-2)[/tex] [tex](-6,2)[/tex]

Using:

[tex](0,0)[/tex] and [tex](-6,2)[/tex], the radius is:

[tex]r = \sqrt{(0 - (-6))^2 + (0-2)^2}[/tex]

[tex]r = \sqrt{40}[/tex]

The equation is then calculated using:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where:

[tex]r = \sqrt{40}[/tex] and [tex](h,k) = (0,0)[/tex]

[tex](x - 0)^2 + (y - 0)^2 = (\sqrt{40})^2[/tex]

[tex](x )^2 + (y)^2 = 40[/tex]

[tex]x^2 + y^2 = 40[/tex]

[tex]x^2 + y^2 - 40 = 0[/tex]

Right triangles trigonometry

Answers

Step-by-step explanation:

1.

sin63=x/16

16sin63=14.3

x=14.3

Which of the following number sentences show the correct method to find 43% of 59 Select TWO that apply.

A)43 x 59

B)43/100 x 59

C)0.43 x 59

D)0.43 x 0.59

Answers

Answer:

a and b

Step-by-step explanation:

Please solve quickly! Qestion: c - 1.5 = 7

Answers

Answer:

8.5

Step-by-step explanation:

c = 8.5

hope this helps

Answer:8.5

Step-by-step explanation:

Add 7 and 1.5

I NEED UR HELP ASAP!! PLEASE

Answers

Answer:

4 inches

Step-by-step explanation:

To solve this, use the Pythagorean Theorem: a² + b² = c². You insert the measurements you have: 3² + b² = 5² or 9 + b² = 25. To solve this, subtract 9 from both sides: b² = 16. To solve for b (length) specifically, find the square root of 16: 4.

Hope it helps!

Solve this equation:
7x - [5 + (3x - 2)] = x - (4x - 5) + (2x - 1)

Answers

Answer:

x = 7/5

I hope this helps

Step-by-step explanation:

7x - [5 + (3x - 2)] = x - (4x - 5) + (2x - 1)

7x - 5 -3x +2 = x -4x +5 +2x -1

4x -3 = -x +4

4x +x = 4+3

5x = 7

x = 7/5

what is 5.2x10^2 in standard form

Answers

I think if your trying to answer it its
5.2 x 10^2 = 520

Explanation
5.2 x 10^2
= 5.2 x 100
= 520
If your trying to write it in standard form then um.

Which function IS graphed below?

Answers

Answer:

first you write your full question then ,i will try.

Step-by-step explanation:

please give me brain list and follow

What type of function has the possibility of two x-intercepts?
I. Linear
II. Quadratic
III. Absolute Value

Answers

Answer:-
I think it’s Quadratic, since as in a quadratic equation:
ax^2 + bx + c = 0

A quadratic function has the possibility of two x-intercepts.

What is a quadratic function?

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero.

Given that a function having two x-intercepts

The graph of a quadratic function will always have one y-intercept and can have as many as two x-intercept.

Hence, a quadratic function has the possibility of two x-intercepts.

For more references on a quadratic function, click;

https://brainly.com/question/27958964

#SPJ6

A video game box is 15 inches long and 10
inches wide. If the volume of the box is 750
cubic inches, how tall is the box?
in inches

Answers

Answer:

The box is 5 inches tall

Step-by-step explanation:

The given dimensions of the video games are;

The length of the video game, L = 15 inches

The width of the video game, W = 10 inches

The volume of the video game box, V = 750 cubic inches

Assuming that the shape of the video game box is a cuboid, we have;

The formula for the volume of a cuboid, V = Length, L × Width, W × Height, H

∴ V = L × W × H

The height of the cuboid, H = V/(L × W)...(1)

Where, for the video game box;

L = Length = 15 in.

W = Width = 10 in.

V = Volume = 750 in.³

Plugging in the values of the variables in equation (1) gives;

H =  V/(L × W) = 750 in.³/(15 in. × 10 in.) = 5 in.

The height of the box, H = 5 inches.

When tossing three coins, what is the probability of tossing exactly two tails?

Answers

Answer:

1/3?

Step-by-step explanation:

Answer:OK SO Since the outcome of a coin toss is equiprobable, the probability of getting exactly two tails out of three is equal to the number of ways to get two tails out of three - aka - divided by the total number of possible coin flip outcomes - aka . Ergo, 3/8 is the probability.

hope this helps have a nice day❤️

Step-by-step explanation:

Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15.
Group of answer choices

20

25

5

10
Plzz help asap!!!

Answers

Answer:

25

Step-by-step explanation:

so you replace all the x's with 15 and it becomes

2×15-5

2×15=30

30-5=25

please help on this i cant understand it

Answers

Answer:

to get the probability you add the number of figure all together

divide the number of spheres with the total

ie

2 ÷ 10

you get 1÷ 5

you get the answer as 0.2

Write an inequality to express the fact that a checking account balance of $56 is less than a balance of $21. What is the difference in the balances?​

Answers

Answer:

120

Step-by-step explanation:

CLICK ON THIS, 30 POINTS+BRAINLIEST
3RD TIME IM POSTING THIS! PLEASE HELP, THIS TIME BRAINLIEST AND 30 POINT!!!!!!!!
WHO WOULDN'T WANT THAT BY JUST ANSWERING 2 QUESTIONS!!!!!!!!

Answers

Answer:

30%

Step-by-step explanation:

5%

1st

Decreased by 20%

2nd

Increased by 10%

(Excuse me if im wrong, I did this in a rush)

HURYY THIS IS WORTH ALOT I’ll make brainlist

Answers

Answer:

B.4

Step-by-step explanation:

NASAGUTAN KO YAN TAMA AKO

The answer is number 2

Determine whether the event is impossible, unlikely, as likely as not, likely
or certain. You flip a fair coin and the coin will land heads up.

Answers

as likely as not.
EXPLANATION: a coin has 2 sides. (usually heads and tails)
50% chance it is heads
50% chance it is tails
50=50.
So it is just as likely to happen as it is likely to not.

Laila took a very long Math exam and got 24 questions wrong out of 120 questions. What percentage of the total questions did she get correct?

Answers

Answer:

Laila got 96 out of 120 questions wrong. Laila got 80% on the exam.  20% is the rate of the 24 questions you missed.

Step-by-step explanation:

Hope this helps u

43.8% complete This is a Single Choice Question; skip ahead to question content A B C D E Confirm To order the right amount of flooring, you need to know the floor area of the living room shown below. What is that area, in square feet?

Answers

Answer: 180 ft²

Step-by-step explanation:

The rest of the question is:

The living room is 18 feet wide and 10 feet long.

The floor seems to take the shape of a rectangle because it has one dimension being longer than the other.

As this is a rectangle, the floor area will be calculated by the formula:

= Length * Width

= 10 * 18

= 180 ft²

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