Multiply.
(2x + 4)(2x-4)
A. 4x2 + 16
B. 4x2 - 16
C. 4x2 + 16x-16
D. 4x2 - 16x-16

Given:

The number of alligators in a wildlife is given by the function

[tex]f(x)=3450(1.04)^{x+1}[/tex]

To find:

The average growth rate of change from the 4th year to the 7th year.

Solution:

We have,

[tex]f(x)=3450(1.04)^{x+1}[/tex]

For x=4, we get

[tex]f(4)=3450(1.04)^{4+1}[/tex]

[tex]f(4)=3450(1.04)^{5}[/tex]

[tex]f(4)=4197.4525[/tex]

For x=7, we get

[tex]f(7)=3450(1.04)^{7+1}[/tex]

[tex]f(7)=3450(1.04)^{8}[/tex]

[tex]f(7)=4721.5632[/tex]

Now, the average growth rate of change from the 4th year to the 7th year is

[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]

[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]

[tex]m=\dfrac{524.1107}{3}[/tex]

[tex]m\approx 174.70[/tex]

Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.

Answer:

7-y=-3(6-x)

Step-by-step explanation:

Point slope form:

Substitute y in for 7. Substitute x in for 6. Substitute m in for -3.

Answer: The answer of your over all grade is 81

Step-by-step explanation:

You do the % then you add them together.

like in this picture  

Answer:

She decided to survey each other child instead of every child

Step-by-step explanation:

Sorry if im wrong

Answer:

so if you have a multie chose it would be A D E

Step-by-step explanation:

Answer:

The independent variable is the number of cars

the band washes and the dependent is the number of money they earn

Step-by-step explanation:

Answer: The answer is 18

Answer:

[tex] - 3 + 5 + 7 - 18 + 36 \\ - 3 + 12 - 18 + 36 \\ - 21 + 36 \\ = 15 \: \: \: ans.[/tex]

Answer:

If he deposited weekly, he would be depositing 9 dollars each week.

Step-by-step explanation:

Just thank me later and click the crown at the top of this answer if it helped ;)

Answer:

I wrote the answers below

Step-by-step explanation:

x+3<70------>0,60

-5x<2--------->3,5

5x<2---------->-3,-1

-3x>18-------->-10,-20

Answer:

25 - 5a

Step-by-step explanation:

5(5 - a)

25 - 5a

Hope this helps, thank you !!

Answer:

Lee earns 2x.

They both earn 3x.

Step-by-step explanation:

If mic earns x, and lee earns 2 times as much, it will be x * 2, or 2x. Then adding mic's salary, x, the number will result in 2x+x. This simplifies into 3x.

Answer:

12 inches

Step-by-step explanation:

1. The diagonal is the hypotenuse of the right triangle.  so since we know one side length, we can figure out the other side length

Answer:

Clark can type 40 words in one minute

Step-by-step explanation:

I hope this helps!

Answer: 8 servings

Step-by-step explanation:

1/2 cup + 1/2 cup = 1 cup

                                              >  1 cup + 1 cup = 2 cups = one pint

1/2 cup + 1/2 cup = 1 cup

if 4 servings go in one pint then 8 servings goes in 2 pint

Answer:

8 cups/servings.

Explanation:

Can't explain further more because I'm not good in explaining things yet I'm sure that's the correct answer.

Answer:

B

Step-by-step explanation:

67Answer:67

Step-by-step explanation:

Answer:

6 students are absent.

Answer:

f(x)=x+2.

f(1/3x)=1/3 x+2=(x+6)/3or x/3+2

Answer:

graph 3

Step-by-step explanation:

Answer:

that isnt a question but good to know! :)

Step-by-step explanation:

= option J

area of figure = 1/2 × 6× 4 + 8×6 + 3.14× 9/2

= 12+ 48 + 3.14× 4.5

= 60+ 14.13

= 74.13 cm²

option J

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

Answer:

a)

The possible values are 0, 1, 2 and 3.

The probability mass function of X is:

P(X = 0) = 0.125

P(X = 1) = 0.375

P(X = 2) = 0.375

P(X = 3) = 0.125

b)

[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]

c) E(X) = 1.5, Var(X) = 0.75

Step-by-step explanation:

For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

A fair coin is flipped three times.

This means that [tex]n = 3[/tex]

Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]

a) Give both the possible values and probability mass function of X.

The possible values are from 0 to n, so 0, 1, 2 and 3.

The probability mass function is the probability of each outcome. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]

[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]

[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]

[tex]P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]

(b) Find P(X ≥ 1) and P(X > 1).

[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]

[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]

(c) Compute E[X] and Var(X).

[tex]E(X) = np = 3*0.5 = 1.5[/tex]

[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]

Answer:

[tex]8 - 10 = -2[/tex]

[tex]-20 - 10 = -30[/tex]

[tex]-2 - (-19) = 17[/tex]

[tex]-25 -35=-60[/tex]

Step-by-step explanation:

(a)

[tex]8 - 10[/tex]

Rewrite as addition:

[tex]8 - 10 = 8 + (-10)[/tex]

[tex]8 - 10 = -2[/tex]

(b):

[tex]-20 - 10[/tex]

Rewrite as addition:

[tex]-20 - 10 = -20 + (-10)[/tex]

[tex]-20 - 10 = -30[/tex]

(c)

[tex]-2 - (-19)[/tex]

Rewrite as addition:

[tex]-2 - (-19) = -2 +19[/tex]

[tex]-2 - (-19) = 17[/tex]

(d)

[tex]-25 -35[/tex]

Rewrite as addition:

[tex]-25 -35=-25 +(-35)[/tex]

[tex]-25 -35=-60[/tex]

Answer:

I think the answer is 50.

Step-by-step explanation:

Y + S = 90

S = 4 (Y) - 160

160 = 4 (Y)

Y = 40

90 - 40 = 50

Hope it's correct and helps!

Answer:

1.7h - 5.9

Step-by-step explanation:

Combine the like terms -8.9 and 3 to get -5.9. Since it's negative, you subtract.