write an exponential function in the form y=ab^x that goes through the points (0,14) and (6,896)

Answers

Answer 1

Answer:

y = 14 [tex](2)^{x}[/tex]

Step-by-step explanation:

Find a and b by substituting the points into the equation

using (0, 14 ) , then

14 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then

14 = a × 1 ⇒ a = 14

y = 14 [tex]b^{x}[/tex]

using (6, 896 )

896 = 14 [tex]b^{6}[/tex] ( divide both sides by 14 )

64 = [tex]b^{6}[/tex] ( take the sixth root of both sides )

b = [tex]\sqrt[6]{64}[/tex] = 2

Then

y = 14 [tex](2)^{x}[/tex] ← is the exponential function


Related Questions

A savings account earns 5% interest each year, compounded monthly. If a person invests $300 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?

Answers

I think the answer is $345
Because 5% of $300 is $15
So since it’s 3 year then we multiply
3x$15= $45 so $300 plus $45 = $345
I hope this helps
Please mark as brainliest

40 POINTS NOW HELP 5 MINS COME ON HELP

Answers

❥[tex]\Large\pmb{ \underline {\tt Answer}}[/tex]

2x + 5 = 3x - 25

5 + 25 = 3x - 2x

x = 30

Option B

reason:- Attached picture

Answer:

letter C is the right answer

Step-by-step explanation:

hope it helps!

# CARRY ON LEARNING

BRAINLIEST ME PLEASE PLEASE PLEASE PLEASE PLEASE

-(6e-11) (e - f) math Algebraic expressions

Answers

Answer:

-6e^2 - 6ef + 11e + 11f

Step-by-step explanation:

FOIL

(-6e+11)(e-f)

-6e x e = -6e^2

-6e x f = -6ef

11 x e = 11e

11 x f = 11f

Rewrite and you get your answer

what is the hypotenuse of 21ft and 28ft

Answers

Answer:

See below.

Step-by-step explanation:

The hypotenuse is 35.

-hope it helps

There are 14 red, 10 yellow, 5 green, and 3 purple candies in a bag. What is the probability that a candy chosen at random is not red?

Answers

Answer: 9/16

Work Shown:

14 red + 10 yellow + 5 green + 3 purple = 32 total

(32 total) - (14 red) = 18 that aren't red

18/32 = 9/16 is the probability of picking something that isn't red.

I need help. This problem is difficult. Im not sure what to do.

Answers

A, D, and E are your answers for this question!

Answer:

D and E are correct

Step-by-step explanation:

Since the temperature went over 75 degrees, it was 74 degrees twice

There is no change in that 4 hour period where the graph is flat

All of the others are not true

Sam has a party with snacks. One bowl of snacks has a mixture of fish crackers. There are 15 pretzels, 3 orange, 5 yellow, and 7 green fish crackers in the bowl.
What percent of the fish crackers are yellow?

Answers

Answer:  33.3% approximately

Explanation:

Ignore the 15 pretzels. We're only focusing on the fish crackers.

3 orange + 5 yellow + 7 green = 15 total fish crackers

Of that total, 5 are yellow.

So approximately 5/15 = 1/3 = 0.333 = 33.3% of the crackers are yellow.

Examine the diagram.

A triangle has angles 1, 2, 3. Angle 4 is an exterior angle to angle 3.

For the angles shown in the diagram, which statements are true? Select all that apply.
The sum of m∠3 and m∠4 is 180°.
The sum of the measures of the adjacent interior angle and one of the remote interior angles is equal to the measure of the exterior angle.
∠3 is supplementary to ∠1.
m∠4 = m∠1 + m∠2.
m∠1 + m∠2 + m∠3 = 180°

Answers

The statements that are true regarding the diagram given are:

m∠3 + m∠4 = 180° (angles on a straight line)m∠4 = m∠1 + m∠2 (external angle theorem)m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).

What is the Triangle Sum Theorem?

The triangle sum theorem states that all the three interior angles in a triangle have a sum of 180 degrees all together.

Thus, in the diagram given, the statements that are all true are:

m∠3 + m∠4 = 180° (angles on a straight line)

m∠4 = m∠1 + m∠2 (external angle theorem)

m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

Answer:

A, D, E

Step-by-step explanation:

I got it right.

The sum of 2 numbers is 15 and their qoutient is 2

Answers

x + y = 15------(1)

x/y = 2------(2)

y = 15 - x

put this value in eq 2

x/(15-x) = 2

x = 2 (15 - x)

x = 30 - 2x

2x + x = 30

3x = 30

x = 10

y= 15 - x

y = 15 - 10

y = 5

Solution:

Given:

x + y = 15x/y = 2

Let’s simplify the second equation to find out the value of x.

x/y = 2 x = 2y

Now, let’s substitute the value of x into the first equation.

x + y = 152y + y = 153y = 15y = 5

Now, let’s substitute the value of y into the simplified second equation.

x = 2yx = 2(5)x = 10

Hence, the value of x and y are 5 and 10 respectively.

Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If the area of therectangular billboard covered by the ribbon was approximately 4200 square feet, and the width of the billboard was approximately 60 feet, what
was the height of this billboard?

Answers

Answer:

The answer is 70 feet

Step-by-step explanation:

Given;The area of therectangular billboard covered by the ribbon was approximately 4200 square feetThe width of the billboard was approximately 60 feet.To Find;The height of this billboard = ?Formula;Area = Width × Height

Here, We know the area so,

Area = Width × Height

Height = Area ÷ Width

H = 4200 ÷ 60 feet

H = 70 feet

Thus, The height of the billboard is 70 feet

 

-TheUnknownScientist 72

A) Yes, at positive x-coordination or zero
B) Yes, at negative x-coordination or zero
C) Yes, at negative and positive x-coordinates
D) No, they will not intersect

Answers

I made points on the lines of the graph at (-4, -4), (-2, -2), and (2, 2), which don't intersect so I believe the answer is D.

A) Yes, at a positive x-coordination or zero.

B) Yes, at a negative x-coordination or zero.

C) Yes, at negative and positive x-coordinates.

D) No, they will not intersect.

solve system of equations:

-8x - 10y = 10
3x + 2y = 12

Answers

Answer:

x=10

y = -9

Step-by-step explanation:

-8x - 10y = 10

3x + 2y = 12

Multiply the second equation by 5

5(3x + 2y) = 12*5

15x+10y = 60

Add this to the first equation to eliminate y

-8x - 10y = 10

15x+10y = 60

-----------------------

7x  + 0y  = 70

Divide by 7

7x/7 = 70/7

x = 10

Now find y

3x+2y = 12

3(10) +2y = 12

30 +2y =12

Subtract 30 from each side

2y = 12-30

2y = -18

Divide by 2

2y/2=-18/2

y = -9

On Monday a shop receives $60.30 by selling bottles of water at 45 cents each
How many bottles are sold?

Answers

Answer:

134 bottles

Step-by-step explanation:

For this, I set up a proportion :

60.30/x = 0.45/1

60.30(1) = 0.45x

60.30/0.45 = 0.45x/0.45

x = 134 :)

Answer:

134 bottles

Step-by-step explanation:

conversion of dollars to cent:

$1 equals to 100 cents.

$60.30 will be (60.30*100) cents → 6030 cents

Bottles sold: total money / each bottle cost.
                  →   6030  /  45
                  →   134

So 134 bottles are sold for 45 cents to earn $60.30 or 6030 cents.

Answer:
20
3. Addie visited the elephant exhibit at the zoo. If there were 7 elephants in the
exhibit, how many elephant legs did Addie see?
Show work:
Strategy:

Answers

7x4=28
Addie saw 28 elephant legs

what is x
1/3+3=4-x
This is too hard for me

Answers

Answer:

x = 2/3

Step-by-step explanation:

Add the numbers

[tex]\frac{1}{3}+3=4-x[/tex]

[tex]\frac{10}{3}=4-x[/tex]

Rearrange terms

[tex]\frac{10}{3}=-x+4[/tex]

Subtract 4 from both sides of the equation

[tex]\frac{10}{3}-4=-x+4-4[/tex]

Simplify

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

Divide both sides of the equation by the same term

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

Simplify

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

[RevyBreeze]

Write an expression for the area of the shaded region.

Answers

Answer:

There is no picture

Step-by-step explanation:

Reflect about the line x=5

Answers

Step-by-step explanation:

sori po kailangan ko po ng points sori po talaga

Which net matches the solid figure shown below?

Answers

The net that matches the object below is the first net

Determine whether the conclusion is valid AND explain. You want to know how the residents of your town feel about building a new baseball stadium. You randomly survey 100 people who enter the current stadium. Eighty support building a new stadium, and twenty do not. So, you conclude that 80% of the residents of your town support building a new baseball stadium.

Answers

Answer: The answer is valid, because you survey 100 people and 80 of them support building a new stadium.

Step-by-step explanation:

80% agree. 80/100 = 80%

BRAINLY PLS HELP ME ON THIS QUESTIONNN

Answers

Answer:16 square feet

Step-by-step explanation:

add the length of the top and the bottom face them multiply the sum of those two by the perpendicular height between them and the product is to be divided by 2 : ((a+b)h)/2)

Answer:

16 ft²

Step-by-step explanation:

First you'll find the area of the rectangle forming in the trapezoid:

3 x 4 = 12

Next, you'll think logically and understand that if BC is 3 feet, EF is also 3 feet. So, you'll subtract 5 - 3 = 2, so AE and FD is 1 foot.

So, you'll now multiply to find the area of the whole trapezoid:

4 x 1 = 4

So:

4 + 12 = 16

What is the value of the expression 52 + 22?

Numerical Answers Expected!

Answer for Blank 1:

Answers

Answer:

74

Step-by-step explanation:

52+22=74

tracy earns $12/h as a cashier. When she works more than 32h in 1 week, she earns time-and-a-half. How much does tracy earn for working 40h in 1 week?

Answers

Answer:

I know you from somewhere

I need the answer for part b​

Answers

Answer:

4/4

Step-by-step explanation:

1/4 plus 1/4 plus 2/4 is 4/4

which set of pairs represents a function? PLSS HURRY (100 POINTS)

Answers

Answer:

{(0, 0), (1, 2), (2, 4), (3, 4)}

Step-by-step explanation:

A set of ordered pairs that represent a function is one in which each different ordered pair has a unique x-coordinate (so no two different ordered pairs can have the same x -coordinate).

Therefore, {(0, 0), (1, 2), (2, 4), (3, 4)} is a function as each different ordered pair has a unique x-coordinate.

The other sets all have different ordered pairs that share the same x-coordinate and so these sets do not represent functions.

The vertical line test is also used to determine whether a graph represents a function. If the vertical line intersects the graph only once, then the curve represents a function.  This test can be applied to ordered pairs, in that if two ordered pairs have the same x-coordinate but different y-coordinates, they will be on the same vertical line and therefore do not represent a function.

this is my last question please help​

Answers

Answer:

71,3

Step-by-step explanation:

the first nuclear every time in this topic is y and the second one is x

The probability that Hannah will be late for dinner is 1/2 what is the probability that she will be late for dinner two nights in a row?

Answers

Answer:

1/4

or 25%

or 0.25

Step-by-step explanation:

With a question like this, you have to multiply.

1/2 * 1/2 = 1/4

or

0.5 * 0.5 = 0.25

solve the inequality n+3<-7

Answers

Answer:

Step-by-step explanation:

n<-7-3

n<-10

=> n= (-infinitive ; -10)

how do you use quadratic functions?
and please get correct!

Answers

Use this for formula

firstly

ax²+bx+c=0

and then

b±√(b²-4ac))/(2a)

1 . step

First compare the given equation with

general form

[tex]{a{x}^{2}\:+\:bx\:+\:c\:=\:0}[/tex]

2. step

Then find the value of discriminant

by the given equation below

[tex]\mapsto{{b}^{2}\:-\:4ac}[/tex]

3. step

subsitute the value of discriminant and other given value in Quadratic formula as per the equation .

[tex]{\rightarrow{\frac{-\:b\:±\:\sqrt{{b}^{2}\:-\:4ac}}{2a}}}\\[/tex]

Given triangle ABC is similar to triangle DEF, angle A measures 30 degrees, and angle F measures 50 degrees, what is the measure of angle B?

Answers

Answer:

100 degrees

Step-by-step explanation:

Since triangle ABC is similar to triangle DEF, their angles are basically the same.

All angles of a triangle have to add up to 180.

We are already given two angles: 30 and 50

Add them together: 30 + 50 = 80

Now we subtract the number from 180

180 - 80 = 100

The remaining angle has to be 100 degrees

Find a polynomial that represents the area of the shaded region.

Answers

Answer:

[tex](x^{2} +6x+8)-(x^{2} )[/tex]

Step-by-step explanation:

Area of Green including the white area:

[tex](x+4)(x+2)[/tex]

[tex]x^{2} +6x+8[/tex]

Area of White area is:

[tex]x^{2}[/tex]

Area of Green without white would be:

[tex](x^{2} +6x+8)-(x^{2} )[/tex]

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