MATHEMATICS HIGH SCHOOL

Find the product of (x − 3)2.
x2 + 6x + 9
x2 − 9
x2 − 6x + 9
x2 + 9

Answers

Answer 1
Answer: (x-3)² ⇒ (x-3)(x-3)

(x-3)(x-3) = x(x-3) -3(x-3) ⇒ x² - 3x - 3x + 9 ⇒ x² - 6x + 9

The 3rd option is the correct answer. x² - 6x + 9
Answer 2
Answer:

Answer:

\large\boxed{x^2-6x+9}

Step-by-step explanation:

(x-3)^2\n\n\bold{METHOD\ 1}\n\n(x-3)^2=(x-3)(x-3)\qquad\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\n\n=(x)(x)+(x)(-3)+(-3)(x)+(-3)(-3)\n\n=x^2-3x-3x+9\qquad\text{combine like terms}\n\n=x^2-6x+9\n\n\bold{METHOD\ 2}\n\n(x-3)^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\n\n=x^2-2(x)(3)+3^2\n\n=x^2-6x+9

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Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall. Approximately what percent of the adult male population is taller than the average basketball player?0.13%

0.87%

49.87%

99.87%

Answers

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

Mean (\mu)= 70 inches

Standard deviation (\sigma)= 3 inches

Average basket ball player (\bar{X}) = 79 inches

Since it is normally distributed assume with 5% significance .

So, it becomes,

Z>\frac{\bar{X}-\mu}{\sigma}\n\nZ>(79-70)/(3)\n\nZ>(9)/(3)\n\nZ>3\n\n\therefore\ P(Z>3)=1-0.9987=0.0013

At 0.05 level of significance , 0.0013 = 0.13% of the adult male population is taller than the average basketball player .

Hence, First Option is correct.
Kindly check this link for more details:

Therefore the answer is 0.13% is the approximate percentae of the adult male population who are taller than the average basketball player

Need help on question 13 with work and answer Can you guys check if 12 and 14 are also correct plz

Answers

13.
so out of the pool houses, how many have a hot tub
21/38=0.552=55% aprox

answer is 55%

12 is correct

14 technically, it 0 and -3, -3 could also be correct if you count the negativer root

What is 7/8 in simplest form

Answers

im pretty sure that IS in simplest form?

How many factors in the expression 8(x +4) (y +4) (z 2 + 4z + 7) have exactly two terms?

Answers

From the expression 8(x +4) (y +4) (z 2 + 4z + 7),
the factors are 8, (x+4), (y+4), (z^2 + 4z + 7) since each of these factors, when you divide that to the whole expression won't give a remainder.

Answer:

Only 2 factors have exactly two terms i.e, (x+4)(y+4)

Step-by-step explanation:

Given : Expression 8(x+4)(y+4)(z^2+4z+7)

To find : How many factors in the expression have exactly two terms?

Solution :

Expression8(x+4)(y+4)(z^2+4z+7) cannot be further factorized.

Now, We count the terms in each factor.

1) Factor- 8

Only 1 term i.e, 8 itself.

2) Factor- x+4

Two terms .i.e., x and 4

3) Factor- y+4

Two terms .i.e., y and 4

4) Factor- z^2+4z+7

Three terms .i.e., z^2, 4z and 7.

Therefore, Only 2 factors have exactly two terms i.e, (x+4)(y+4).

Evaluate the expression for the given value of x
-7x +2 for x = -7

Answers

Answer:

51

Step-by-step explanation:

If x=-7, all we need is to substitute x for -7

-7x+2

-7×-7+2

-7×-7 is 49 because 7 times 7 is 49 and a negative times a negative is a positive.

Which leaves us 49+2

51.
Yes the up guys is right

Help please?(3.5×10^−5)(3×10^−10) Express your answer in scientific notation.

1.05×10^−15
1.05×10^−14
1.05×10^−13
1.05×10^15

Answers

(3.5 x 10^-5)(3 x 10^-10) = (3.5 x 3) x 10^(-5 - 10) = 10.5 x 10^-15 = 1.05 x 10(1 - 15) = 1.05 x 10^-14
B . 1.05 x 10^-14
hope i helped
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