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3 years ago

State weather the equation represents exponential growth, exponential decay or neither, 30 POINTS EASY

Mathematics

1 answer:

RSB [31]3 years ago

5 0

Answer:

Exponential Decay

Step-by-step explanation:

It's exponential growth when your base value is > 1. Example:

1.3ˣ, 2ˣ, 7ˣ, 999ˣ

It's exponential decay when the base value is < 1. Example:

0.9ˣ, 0.45ˣ, (1/2)ˣ, 0.79ˣ, .999ˣ

It's neither when the base value = 1. Example:

1ˣ

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Write a quadratic function for each graph described.

user100 [1]

Answer:

$y=2x^2-\frac{4}{3}x-\frac{10}{3}$

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

x=-1 and x=5/3

we can write the equation of the parabola as

$y=a(x+1)(x-\frac{5}{3})$

where

a is a coefficient

Remember that

The parabola pass through the point (5,40)

substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

x=5, y=40

$40=a(5+1)(5-\frac{5}{3})$

$40=a(6)(\frac{10}{3})$

$40=20a\\a=2$

substitute

$y=2(x+1)(x-\frac{5}{3})$

apply distributive property

$y=2(x^2-\frac{5}{3}x+x-\frac{5}{3})\\\\y=2(x^2-\frac{2}{3}x-\frac{5}{3})\\\\y=2x^2-\frac{4}{3}x-\frac{10}{3}$

see the attached figure to better understand the problem

6 0

3 years ago

A car dealership pays you 4% commission on your first $8,000 in car sales and 8% commission on additional sales over the $8,000.

Zigmanuir [339]

Answer:

Total Commission = $400

Step-by-step explanation:

Since total is $9000 (in sales) -- commision is 4% on the first $8000 and 8% in the additional part over $8000 (9000-8000=1000). So 8% on $1000.

<u>Total commission</u> = 4% of 8000 + 8% of 1000

= (0.04)(8000) + (0.08)(1000)

= 400

Total Commission is $400

7 0

3 years ago

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agasfer [191]

The answer will be
15m+10

6 0

3 years ago

What does 7/18 + 2/27=

victus00 [196]

The answer would be 25/54

4 0

3 years ago

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If y varies directly with x, with k=0.75,what is the value of y when x=12

erma4kov [3.2K]

Answer:

Step-by-step explanation:

y=x

y=kx

substitute k for 0.75 and x for 12 in the above equation

y=0.75×12

y=9

7 0

3 years ago