Mathematics High School

The table of ordered pairs (x, y) gives an exponential function.
Write an equation for the function.
y
- 1
6
0
12
1
24
2
48

Answers

Answer 1

Answer:

f(x) = 12*(2)^x

Step-by-step explanation:

A generic exponential equation is written as:

f(x) = A*(r)^x

And we also know that this equation passes through:

(-1, 6)

(0, 12)

(1, 24)

(2, 48)

For the second point, (0, 12) we know that when f(0) = 12

Then:

f(0) = 12 = A*(r)^0

And for every real number different than zero, a^0 = 1

Then:

f(0) = A*1 = A = 12

Then the equation is:

f(x) = 12*(r)^x

Now we can use one of the other points, like (1, 24)

Then f(1) = 24

We can solve:

f(1) = 24 = 12*(r)^1 = 12*r

24/12 = r

2 = r

Then the equation is f(x) = 12*(2)^x

Now we need to check if this function also passes through the points (-1, 6) and (2, 24):

f(-1) = 12*(2)^-1 = 12/2 = 6

f(2) = 12*(2)^2 = 12*4 = 48

Nice.

So we can see that the function is f(x) = 12*(2)^x

Related Questions

Phoebe owns a business making birdhouses. The profit can be represented by p = 62 – 126 + 250, where p represents profit and b
represents the number of birdhouses she sells. How many birdhouses would she have to sell to make a profit of $263?

Answers

done click on the links its a scam

Two angles are complementary. One angle is 52°. How many degrees is the other angle?

Answers

Answer:

Step-by-step explanation:

Complementary angles sum to 90° then the other angle is

90° - 52° = 38°

Answer:

B 38°

Step-by-step explanation:

complementary angles are two angles that up to 90°, since we know one is 52°, 90-52=38, so your answer is 38

There is a population of 300,000 bacteria in a colony. If the number of bacteria doubles every
26 minutes, what will the population be 52 minutes from now?

Answers

Answer:

156000000

Step-by-step explanation:

Find the surface area of a sphere with a diameter of 14

Answers

Answer:

SA = 615.44

Step-by-step explanation:

d = 14

r = d/2

r = 7

SA of a Sphere:

SA = 4πr²

SA = 4(3.14)(7²)

SA = 4(3.14)(49)

SA = 12.56(49)

SA = 615.44

What is the solution to 3/4 a >-16?

Answers

the one u clicked one is the answer ?

Answer:

Step-by-step explanation:

you were right.

hope this helps

Solve the right triangle shown in the figure, given the following measures. Remember, exact lengths can be approximated on a calculator. For example, StartRoot 2 EndRoot almost-equals 1.414. Angle A = 45 degrees, side A B = 12 StartRoot 2 EndRoot centimeters, Angle C = 90 degrees a. Side B C = 6 StartRoot 3 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 3 EndRoot centimeters b. Side B C = 6 StartRoot 2 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 2 EndRoot centimeters c. Side B C = 24 centimeters, angle B = 45 degrees, Side A C = 24 centimeters

Answers

Answer:

D. BC = 12cm, <B = 45, AC = 12cm

Step-by-step explanation:

Edge 2021

The measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm

What are right triangles?

A right triangle is a triangle that has one of its angle measure to be 90 degrees.

From the question, we have:

Angle B = 45 degrees

Since angle B is 45 degrees, then the legs of the triangle are equal (i.e. 12 cm)

Hence, the measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm

Answers

Answer:

2,5

Step-by-step explanation:

2 to the right and 5 up

7th grade math help me pleaseee

Answers

Part A. n+6=15>>>n=9

Part B.n+6=15 >>> n+6-6=15-6

n=9

The distance traveled can be calculated using the formula D=s⋅t where s is the speed and t is the total time. If a bus traveled 60 mi/h for 8.5 hours, how far did the bus travel?

Answers

Answer:

510 miles

Step-by-step explanation:

60/1 * 8.5 = 510 miles

Tracy rode her mountain bike 2 ⅘ miles on Monday. She rode
2 7/10 miles on Tuesday. On which day did she ride a longer distance?

Answers

Answer:

Monday

Step-by-step explanation:

please mark me brainliest

Identify three pythagorean triples using the known triple 8, 15, 17. What does this mean?

Answers

Answer:

yes

Step-by-step explanation:

8² + 15² = 17²

64 + 225 = 289

289 = 289

1.7. In a Maths class, the girl to boy ratio is 7:5.
If there are 20 boys, how many girls are in the class?

Answers

Answer:

28 girls

Step-by-step explanation:

Let total students be ‘X’

No of girls = (X-20)

Girls/Boys=7/5=(X-20)/20

7(20) =5(X-20)

140=5X-100

5X=240

X = 240/5

X =48

So, Total Students are 48

No of girls = (X-20) = 48-20 = 28

Let f(x)=x^2+2 and g(x)=1-3x Find each function value. f(g(-1))

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x^2+2)*(1-3x)=-3x^3+x^2-6x+2

now plug in -1

-3(-1)^3+(-1)^2-6(-1)+2=12

hope this helped

Solve for the unknown value

Answers

The missing value is 77°

HELP FAST I'LL MARK YOU BRAINLIEST

Which below is not always true about a Rhombus?
1. All side are equal
2. Opposite sides are equal and congruent
3. Consecutive angles are supplementary
4. Diagonals are congruent

Answers

Answer:

#4 is not always true, only when it's a square.

I want to say the answer is number 3, consecutive angles are supplementary

someone please tell me how to work out this type of problem i completely forgot

Answers

Answer:

Plug the x-values into the equation to get the y values. This will give you coordinates that you can graph a line with.

Step-by-step explanation:

For x = -5: y = -3 - 2 * (-5) = 7, so the coordinates are (-5, 7)

For x = -2: y = -3 - 2 * (-2) = 1, so the coordinates are (-2, 1)

(Etc.)

Then, plot these coordinates and draw a line through them to complete the graph.

HELP ME AS QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The difference in square feet is 75 square feet.

Step-by-step explanation:

Formula for area of a rectangle: Area = length x width

Current measurements: 12 by 10, so

A = 12 x 10 = 120 square feet

New measurements: 15 by 13 (adding 3 feet to each)

A = 15 x 13 = 195 square feet

Subtract to find the difference:

195-120 = 75

Please let me know if you have questions.

what type of association is there ??

Answers

Answer:

Negative because the dots travel down away from the positive area

what is the x-intercept of the graph 4x-6y=12

Answers

So the x-intercept is 3. Also, the y-intercept can also be obtained by putting x=0 in the equation to get y=12/(-6)=-2

MULTIPLE CHOICE QUESTION PLS HELP ME

Answers

Answer:

The answer is C.

Solve for the variable in the following equation: 1 / 6c + 1 / 3 = - 2
A. c = −30

B. c = 26

C. c = −14

D. c = 12

Answers

Answer: C. C=-14

Step-by-step explanation:

Given

(1/6)c+1/3=-2

Multiply both sides by the LCM of 1/6 and 1/3(Least Common Multiple)

6[(1/6)c+1/3]=(-2)(6)

c+2=-12

Subtract 2 on both sides

c+2-2=-12-2

c=-14

Hope this helps!! :)

Please let me know if you have any questions

Answer:

C. c = −14

Step-by-step explanation:

Combine multiplied terms into a single fraction

[tex]\frac{1}{6} c+\frac{1}{3} = - 2[/tex]

[tex]\frac{1c}{6} +\frac{1}{3} =-2[/tex]

Multiply by 1

[tex]\frac{1c}{6} +\frac{1}{3} =-2[/tex]

[tex]\frac{c}{6} +\frac{1}{3} =-2[/tex]

Subtract [tex]\frac{1}{3}[/tex] from both sides of the equation

[tex]\frac{c}{6} +\frac{1}{3} =-2[/tex]

[tex]\frac{c}{6} +\frac{1}{3} -\frac{1}{3} =-2-\frac{1}{3}[/tex]

Subtract the numbers

[tex]\frac{c}{6} +\frac{1}{3} -\frac{1}{3} =-2-\frac{1}{3}[/tex]

[tex]\frac{c}{6} =-2-\frac{1}{3}[/tex]

Subtract the numbers

[tex]\frac{c}{6} =-2-\frac{1}{3}[/tex]

[tex]\frac{c}{6} =-\frac{7}{3}[/tex]

Multiply all terms by the same value to eliminate fraction denominators

[tex]\frac{c}{6} =-\frac{7}{3}[/tex]

[tex]c \frac{c}{6} =6(-\frac{7}{3} )[/tex]

Cancel multiplied terms that are in the denominator

[tex]c \frac{c}{6} =6(-\frac{7}{3} )[/tex]

c = 6 [tex](-\frac{7}{3} )[/tex]

Multiply the numbers

c = 6 [tex](-\frac{7}{3} )[/tex]

c = - 14

Five less than the quotient of a number and 3 is 13. What is the number? Let n be the unknown number.

Answers

[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]Answer: n=54

Step-by-step explanation:

[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]

Answer: n/3 - 3 = 13

so its 48 your welcome

Step-by-step explanation:

Salinda borrowed $4,200 to buy some furniture Her monthly payments over four years with an interest rate of 24 percent are $136.93 per month. How much in total interest will she pay ?

Answers

Answer:

1008

Step-by-step explanation:

All you have to do is find what 24 percent of 4200 is.

PLEASE HELP MY MATH GRADE IS LOW AND THIS IS THE ONLY WAY TO GET IT UPPPPP PLEASE I WILL MARK U BRAINLEST PLEASE TRY YOUR BEST THANKSSS SO MUCH

Answers

I can barely see do you have email of it

Answer:

I can't see!

Step-by-step explanation:

The figure is made by two right rectangular prisms.
What is the volume of the figure?

Answers

Answer:

Step-by-step explanation:

answer: d

step by step explanation:

For each formula,rearrange so a is by itself:
6-9b=3a
6b+2a=3a
a/3=b+2

please explain how to do that i have a test in 2 days

Answers

Step-by-step explanation:

a) 6-9b=3a

First:Subtract

3b=3a

Second: Devide

3b/3a

=(3÷3)(b÷a)

=1b/a

= b/a

B) 6b+2a=3a

First:Transpose (Group the like terms. signs will change.)

-3a+2a=-6b

=-1a=-6b

Second:Divide

=-1a/-6b:(-1÷-6)(a÷b)

=1a/6b

=a/6b

C)a/3=b+2

First: Transpose

a=3+2+b

=a/6+b

x2-3x-2=0 by Formula method

Answers

Answer:

Answer with steps........

explain how you can tell whether a group of ratios represents a proportional relationship. PLEASE HELP

Answers

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

hope this helps :)

Can someone please help me please I really need help please help me.

Answers

Answer:

Step-by-step explanation:

I can't get to act correctly either.

The answer is 1 day and 7 items.

Ariana

y = 5x + 2

Julie

y = 7x

The ys have to be the same so equate the right hand side.

7x = 5x + 2 Subtract 5x from both sides.

7x - 5x = 5x - 5x + 2

2x = 2 Divide by 2

2x/2 = 2/2

x = 1

1 day

7 items

The senior classes at Portland High School and Biddeford High School planned separate
trips to New York City. The senior class at Portland High School rented and filled 1 van
and 6 buses with 372 students. Biddeford High School rented and filled 4 vans and 12
buses with 780 students. Each van and each bus carried the same number of students. How
many students can a van carry? How many students can a bus carry?

Answers

I believe it would be 47

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The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function. y - 1 6 0 12 1 24 2 48

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The table of ordered pairs (x, y) gives an exponential function.
Write an equation for the function.
y
- 1
6
0
12
1
24
2
48