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HELP ASAP 50 POINTS

serg [7]

<u>Factoring the area:</u>

4x² + 20x + 25 =
(2x)² + 2*2x*5 + 5² =
(2x + 5)²

<u>The length of the side is:</u>

√(2x + 5)² =
2x + 5

<u>Factoring the area:</u>

4x² − 9y²=
(2x)² - (3y)² =
(2x + 3y)(2x - 3y)

<u>The sides of the rectangle are:</u>

2x + 3y and 2x - 3y

7 0

3 years ago

Alex bought a new truck for $42,935. According to the dealer, the truck will depreciate approximately $4,200 per year. Write and

Andrews [41]

Answer:

The truck is worth $5,135 when 9 years have passed

Step-by-step explanation:

Initial value of Alex's new truck: $42,935

Loss of value per year: $4,200

If n years passed, the truck would have lost

$4,200n\ dollars$

The current value of the truck will be

$V(n)=42,935-4,200n$

We want to know the value of n at which V is 5,135

$5,135=42,935-4,200n$

Solving for n

$n=\frac{42,935-5,135}{4,200}$

n=9 years

8 0

4 years ago

What is the Y intercept? and where is the function positive?where is it negative?

kipiarov [429]

y=2

$\lbrack0,1)\text{ }\cup\text{ (3,4}\rbrack$

$\begin{gathered} so,\text{ the function is negative in } \\ (1,3) \end{gathered}$

Explanation

Step 1

The y -intercept of a graph is the point where the graph crosses the y -axis.

so , let's check the graph

therefore, the y-intercept is 2

Step 2

The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero)

hence, the function is potive in ( in x axis)

$\lbrack0,1)\text{ }\cup\text{ (3,4}\rbrack$

Step 3

negative region

The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).

$\begin{gathered} so,\text{ the function is negative in } \\ (1,3) \end{gathered}$

I hope this helps you

8 0

1 year ago

If y varies directly as x and y=360 when x=180, find y when x=270

kirill115 [55]

Y = kx 360 = k(180) Divide both sides by 180 2 = k So you can now plug in this value into 270 = kx 270 = 2x Now divide both sides by 2 And your answer would be: 135 = x
hope this helps

5 0

3 years ago

Read 2 more answers

Current estimates are that about 25% of all deaths are due to cancer, and of the deaths that are due to cancer, 30% are attribut

Aliun [14]

Answer:

(a) P (T|C) = 0.30, P (T|D) = 0.40 and P (O|C) = 0.30

(b) The probability that a death is due to cancer and tobacco is 0.075.

Step-by-step explanation:

Let us denote the events as follows:

C = death is due to cancer

T = cause of cancer was tobacco

D = cause of cancer was diet

O = cause of cancer was other issue

The provided information is:

P (C) = 0.25

P (T|C) = 0.30

P (T|D) = 0.40

P (O|C) = 0.30

(a)

The conditional probability of an event <em>A</em> given that another event <em>B</em> has already occurred is denoted by, P (A|B).

This implies that the occurrence of event B is affected by the previously occurred event A.

Causes of cancer are tobacco, diet and other issues. If a death is caused by cancer then the probability that the cause of cancer was tobacco or diet or something else are conditional events.

The conditional probabilities are:

0.40 for diet, 0.30 for tobacco and 0.30 for other causes.

(b)

Conditional probability formula is:

$P (A|B)=\frac{P(A\cap B)}{P(B)}$

Compute the probability that a death is due to cancer and tobacco as follows:

$P (T|C)=\frac{P(C\cap T)}{P(C)}\\P(C\cap T)=P(T|C)\times P(C)\\=0.30\times0.25\\=0.075$

Thus, the probability that a death is due to cancer and tobacco is 0.075.

8 0

3 years ago