Mathematics College

write an exponential function y=ab^x for a graph that includes (2,4) and (3,16)

Answers

Answer 1

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3 Solve each equation for a.

2⁄b2 and 4⁄b3 = a

Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2

Divide both sides by b2

2b = 4

a = 2/4 = 1/2

b = 2

y = 1 (2)x

Hope it helps

Please mark me as the brainliest

Thank you

Answer 2

9514 1404 393

Answer:

y = (1/4)4^x

Step-by-step explanation:

In general, you can use a 2-point form to write the exponential function for points (x1, y1) and (x2, y2) as ...

y = y1·(y2/y1)^((x -x1)/(x2 -x1))

Using the given points, this becomes ...

y = 4·(16/4)^((x -2)/(3 -2)) = 4·4^(x-2)

We can eliminate the exponent arithmetic by making use of a couple of rules of exponents.

y = 4·(4^x)(4^-2) = (4^-1)(4^x)

y = (1/4)(4^x)

Write An Exponential Function Y=ab^x For A Graph That Includes (2,4) And (3,16)

Related Questions

Find the slope of the line.

Answers

Answer:

Step-by-step explanation:

Any horizontal line has a slope of 0.

What is the average of 100, 54 and 88?

Answers

Answer:

about 80.6

Step-by-step explanation:

(100+(54+88))/3

The answer is 80.67 round to the nearest tenth place btw

so its 8p = 56 is the frist bit and the second is 7. BOOM

Answers

p=7, I don't know if this is a question or not

7. Simplify
(12p27
(2p2q6)

Answers

Answer: 7776p^2q

Step-by-step explanation:

Q1: A number minus 4 is greater than 2 times a number

Answers

Answer:

x - 4 > 2x

(see below to solve for x if needed)

Step-by-step explanation:

"Greater than" is key word for the greater than symbol: >.

"A number" can be represented by x.

So "a number minus four" would be x - 4 and "two times a number" would be 2x.

So "A number minus 4 is greater than 2 times a number" is:

x - 4 > 2x

If you were to solve for x, it would be:

x - 4 > 2x

-x -x

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

-4 > x

x < -4

Page 153
30. A car's value is a function of many things,
including the total mileage on the car. The
following graph illustrates the depreciation of a
car as more miles are driven. Find the value of
f(50,000) and explain its meaning. What is the
range of this function?
Car's valde
$14,000
$12,000
$10,000
$8.000
$6,000
$4,000
$2,000
$0
20,000 40.000 60.000 80.000 100.000 120,000
Mileage

Answers

If you’re on plato the answer would be c

Can somebody help me?

Answers

1.) -12b + 6c + 18
2.) 6(-2b +c+3)
3.) 6( -2(-2) + (-3) +3)=
6(4-3+3)=
6•4=24

A roulette wheel consists of 18 red slots, 18 black slots, and 2 green slots. A player can wager $1 that a marble will land in a red slot, in which case the player would gain a $1. If the marble lands in a slot that isn't red, then the player loses their $1 wager. Let X represent the player's gain from a random $1 wager on red. Here's the probability distribution of X along with summary statistics:
Lose Win
X = gain (S) -1 1
Р(X) 20/38 18/38
Мean: Ax-$0.05
Standard deviation: ax$1.00
Suppose a player decides to wager $5 instead of winning $5.
Let Z represent the player's gain from a random $5 wager on red. possible outcomes become either losing or , so
What are the mean and standard deviation of Z? dollars?

Answers

Answer:

-$0.26 ; $5

Step-by-step explanation:

Given that :

____________ Lose ______ Win

X =$1 _______ - $1 ________ $1

P(X) _______20/ 38 _____ 18/38

Mean, Ux = - $0.05

Standard deviation, σx = $1.00

If the wager is $5 instead of $1

Mean = Σx*p(x)

Mean = (-5 * 20/38) + (5 * 18/38)

Mean = - 2.6315789 + 2.3684210

Mean (μ) = −0.26

Standard deviation :

Sqrt(Σx²p(x) - μ²)

[(-5^2)*(20/38) + (5^2)*(18/38)] - (-0.26^2)

(13.157894 + 11.842105) - 0.0676

= 24.999999 - 0.0676

= sqrt(24.932399)

= 4.9932353

I got it "Correct"

Answer:

A. 154.36 m

Step-by-step explanation:

Have a great day

A label that wraps around a box of golf balls covers 75 percent of its lateral surface area. What is the value of x?

Answers

Answer:

To find the area of the rectangular prism, use the formula:

A = width x height x length

A = 2 x 2 x 3

A = 12

Now multiply A with 0.75

12 x 0.75 = 9

x = 9 in³

hope this helps

Step-by-step explanation:

A jar contains 666 red jelly beans, 666 green jelly beans, and 666 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the probability that the first jelly bean will be green and the second will be green as well?

Answers

Answer:

666/1998 x 665/1997 = 665/5991 or 0.110999833083

HELP HELP HELPPPP SOMEONE PLEASE-

Answers

Answer:

Its B

Step-by-step explanation: very ez

Answer:

B. All of these statements are true

Step-by-step explanation:

$10 is the smallest amount shown, therefore a is correct.

$25 is the greatest, so c is also correct

and a majority of the tickets start at $15, making d correct

Need help ASAP please!

Answers

Answer:

Step-by-step explanation:

See the attached image.

What is the next term in the following sequence?

54, -18, 6, ...

-2
3
2
-3

Answers

-2
Explanation:
You divide by -3each time
54/-3 = -18
-18/-3 = 6
6/-3 = -2

potrzebuję na teraz pls

2/10 = 3/10, 2/5 = 4/10

Answer:

3/6 & 2/6

1/2 x 3, 1x3=3, 2x3=6, so it's 3/6.

1/3 x 2, 1x2=2, 3x2=6, so it's 2/6.

Data represented by quantities is called data.

Answers

Four types of data (nominal, ordinal, interval, and ratio) that represent values or observations that can be sorted into a category

What is the slope of the line perpendicular to
y=3x-12

Answers

Answer: y-3x=12. y=3x+12. If the line is perpendicular it means its slope is the negative reciprocal of the given lines slope. m = 3 negative reciprocal = -1/3. So the slope of the equation of the line

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

(-1)(m)^(-1)

this is the way to make a slope perpendicular

y=mx+b

m=slope

b=y-intercept

so:

(-1)(3)^(-1)

-1/3 is the slope of the line that is perpendicular to y=3x-12

Hope that helps :)

Please give brainliest

Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)

Answers

Answer:

18 units square

Step-by-step explanation:

Given

The attached trapezium

Required

Determine the area

From the attachment, the height, h is:

[tex]h = 3\ units[/tex]

And parallel sides are:

[tex]s_1 = 3[/tex]

[tex]s_2 = 9[/tex]

So, the area is calculated as:

[tex]Area = \frac{1}{2}(s_1 + s_2) * h[/tex]

[tex]Area = \frac{1}{2}(3 + 9) * 3[/tex]

[tex]Area = \frac{1}{2} * 12 * 3[/tex]

[tex]Area = \frac{36}{2}[/tex]

[tex]Area = 18[/tex]

Can someone please help meee

Answers

Answer:

90 degrees

Step-by-step explanation:

If two angles are supplementary they are a linear pair which means they form a straight line, and if you know a straight line equals 180 degrees which is the total degrees of a triangle.

Now if you have two supplementary angles and they are congruent that means not only are they right angles but its half of 180 so you divide these pair of 2 by 180 giving you your total of 90 degrees.

Have a nice rest of your day !

FIRST TO ANSWER GETS BRAINLIEST!!!
Find the y-intercept of the following line:
y=−8x+7

Answers

The y intercept is 7

Answer:

Step-by-step explanation:

y = mx + b

The y-intercept is b.

y = -8x + 7

The y-intercept is 7.

Please help ASAP!!!!

Answers

Answer:

-4

Step-by-step explanation:

32÷-8=-4

Shawna went shopping at the thrift store yesterday and came home with 12 items and she only spent $31.50. She only got shirts and pants. If each shirt cost $2 and each pair of pants cost $3.50, which system of equations would represent this situation?

Answers

Assuming pants=x and shirts=y

2y+3.50x=31.50 and 2y= 31.50-3.50x

I hope this helps you out!

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