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andrew-mc [135]

3 years ago

11

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Selec

t three options.
The term –2(x – 2)2 is simplified by first squaring the expression x – 2.
The simplified product is a binomial.
After multiplying, the like terms are combined by adding and subtracting.
The parentheses are eliminated through multiplication.
The final simplified product is –28x2 +8x – 8.

2 answers:

Evgesh-ka [11]3 years ago

7 0

Answer:

1

3

4

Step-by-step explanation:

took the quiz looked back at the quiestion and saw that it was the right answer

lesya692 [45]3 years ago

6 0

Answer:

A C and D

Step-by-step explanation:

look a the attached picture

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C. What is f (-5)?<br> When the function is f(x) =-3x+7

bazaltina [42]

Answer:

f(-5) = 22

Step-by-step explanation:

f(x) =-3x+7

Let x = -5

f(-5) =-3*-5+7

= 15 +7

=22

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3 years ago

Suppose that a recent poll of American households about car ownership found that for households with a car, 39% owned a sedan, 3

Rama09 [41]

Answer:

The probability that of the 3 households randomly selected at least 1 owns a sports car is 0.1956.

Step-by-step explanation:

Let <em>X</em> = number of household owns a sports car.

The probability of <em>X</em> is, P (X) = p = 0.07.

Then the random variable <em>X</em> follows a Binomial distribution with <em>n</em> = 3 and <em>p</em> = 0.07.

The probability function of a binomial distribution is:

$P(X=x) = {n\choose x}p^{x}[1-p]^{n-x}\\$

Compute the probability that of the 3 households randomly selected at least 1 owns a sports car:

$P(X\geq 1)=1-P(X$

Thus, the probability that of the 3 households randomly selected at least 1 owns a sports car is 0.1956.

4 0

3 years ago

The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is units is? What is the area?

11111nata11111 [884]

we have

$A(-2, 2),B(6, 2),C(0, 8)$

see the attached figure to better understand the problem

we know that

The perimeter of the triangle is equal to

$P=AB+BC+AC$

and

the area of the triangle is equal to

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB\\heigth=DC$

we know that

The distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step $1$

<u>Find the distance AB</u>

$A(-2, 2),B(6, 2)$

Substitute the values in the formula

$d=\sqrt{(2-2)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$dAB=8\ units$

Step $2$

<u>Find the distance BC</u>

$B(6, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-6)^{2}}$

$d=\sqrt{(6)^{2}+(-6)^{2}}$

$dBC=6\sqrt{2}\ units$

Step $3$

<u>Find the distance AC</u>

$A(-2, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0+2)^{2}}$

$d=\sqrt{(6)^{2}+(2)^{2}}$

$dAC=2\sqrt{10}\ units$

Step $4$

<u>Find the distance DC</u>

$D(0, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-0)^{2}}$

$d=\sqrt{(6)^{2}+(0)^{2}}$

$dDC=6\ units$

Step $5$

<u>Find the perimeter of the triangle</u>

$P=AB+BC+AC$

substitute the values

$P=8\ units+6\sqrt{2}\ units+2\sqrt{10}\ units$

$P=22.81\ units$

therefore

The perimeter of the triangle is equal to $22.81\ units$

Step $6$

<u>Find the area of the triangle</u>

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB=8\ units\\heigth=DC=6\ units$

substitute the values

$A=\frac{1}{2}*8*6$

$A=24\ units^{2}$

therefore

the area of the triangle is $24\ units^{2}$

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Answer:

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Step-by-step explanation:

70% of 12=8.4

30% of 12=3.6

check: 3.6+8.4=12

4 0

3 years ago