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3 years ago

100 points! Please help me solve these problems!

Mathematics

2 answers:

Lemur [1.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

1.(15c3 + 3c2) ÷ 3c2

=3c2(5c+1) ÷ 3c

=c(5c+1)

2.(d2 - 4d - 77) ÷ (d - 11)

= (d+7)(d-11) ÷ (d - 11)

= d+7

3.(x2 - 12x + 27) ÷ (x - 3)

=(x-9)(x-3) ÷ (x - 3)

= x-9

4.(9p2 + 6p + 1) ÷ (3p + 1)

= (3p+1)(3p+1)÷ (3p + 1)

= 3p+1

5.(4b2 + b - 3) ÷ (b + 1)

= (4b-3)(b+1) ÷ (b + 1)

= 4b-3

Mazyrski [523]3 years ago

4 0

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 1) (15c^3 + 3c^2) / 3c

3c(5c^2 + c) / 3c

Cancel out the '3c'

= 5c^2 + c

2) (d + 7)(d - 11) / (d - 11)

Cancel out the 'd - 11'

= d + 7

3) (x - 3)(x - 9) / (x - 3)

Cancel out the 'x - 3'

= x - 9

4) (3p + 1)(3p + 1) / (3p + 1)

Cancel out one pair of '3p + 1)

= 3p + 1

5) (4b - 3)(b + 1) / (b + 1)

Cancel out 'b + 1'

= 4b - 3

To get these answers, just factorize the top half and cancel parts out with the denominator.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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Two angles are complementary. If the measure of one angle is twice the measure of the other angle, what is the measure of the la

Alenkinab [10]

Two angles are complementary: x + y = 90 (complementary = 90 degrees)
x = 2y

plug in 2y for x

2y + y = 90
3y = 90
3y/3 = 90/3
y = 30

plug in 30 for y
x = 2y
x = 2(30)
x = 60

x (the largest angle) = 60°

hope this helps

8 0

2 years ago

Read 2 more answers

Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students r

BaLLatris [955]

<h2>Answer with explanation:</h2>

Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Given : Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

$H_0: p=0.39\\\\H_a :p\neq0.39$

Sample size : n= 1055

Sample proportion : $\hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44$

Critical value for 95% confidence : $z_{\alpha/2}=1.96$

Confidence interval : $\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

$0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)$

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95% confidence interval represents evidence that parents' attitudes toward the quality of education have changed.

8 0

3 years ago

Find the average rate of change of f(x)=2x^2-7x from x=2 to x=5

m_a_m_a [10]

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the close interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [2, 5 ]

f(b) = f(5) = 2(5)² - 7(5) = 50 - 35 = 15

f(a) = f(2) = 2(2)² - 7(2) = 8 - 14 = - 6, thus

average rate of change = $\frac{15-(-6)}{5-2}$ = $\frac{21}{3}$ = 7

3 0

3 years ago

A follow-up study will be conducted with a sample of 20 people from the 300 people who responded yes (support) and no (do not su

mafiozo [28]

Answer:

x = 20 * s / 300

Step-by-step explanation:

In this case, it is solved by means of a rule of three, that is, we know that 20 of 300 answered yes, but in the case of the strata sample, since it is a value that is not mentioned in the problem, we will assume it as " s "and the people who were selected as" x ". would:

20 x

300 s

Therefore, x:

x = 20 * s / 300

and thus they would give us the number of people that would be selected.

For example, if "s" were 240, it would be:

x = 20 * 240/300

x = 16

that is, 16 people would be selected

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2 years ago

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5 0

2 years ago