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3 years ago

Write the product as a trinomial. (x + 2)(x + 3) a. x2 + 5 b. x2 + 5x + 6 c. x2 + 6x + 5 d. x2 + 6x + 6

Mathematics

2 answers:

Leni [432]3 years ago

7 0

Use: (a + b)(c + d) = ac + ad + bc + bd

(x+2)(x+3)=(x)(x)+(x)(3)+(2)(x)+(2)(3)=x² + 3x + 2x + 6 = x² + 5x + 6

Answer: b. x² + 5x + 6

tino4ka555 [31]3 years ago

5 0

The answer would be b

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Find the area between the two functions

Inga [223]

The area between the two functions is 0

<h3>How to determine the area?</h3>

The functions are given as:

f₁(x)= 1

f₂(x) = |x - 2|

x ∈ [0, 4]

The area between the functions is

A = ∫[f₂(x) - f₁(x) ] dx

The above integral becomes

A = ∫|x - 2| - 1 dx (0 to 4)

When the above is integrated, we have:

A = [(|x - 2|(x - 2))/2 - x] (0 to 4)

Expand the above integral

A = [(|4 - 2|(4 - 2))/2 - 4] - [(|0 - 2|(0 - 2))/2 - 0]

This gives

A = [2 - 4] - [-2- 0]

Evaluate the expression

A = 0

Hence, the area between the two functions is 0

Read more about areas at:

brainly.com/question/14115342

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5 0

1 year ago

Administrators at a large public high school are interested in their students’ standardized test scores. Last year, the mean sco

ratelena [41]

Answer:

The appropriate hypotheses for performing a significance test is:

$H_0: \mu = 51$

$H_1: \mu > 51$

Step-by-step explanation:

Last year, the mean score on the state’s math test was 51. The administrators have trained the teachers in a new method of teaching math hoping to raise the scores on this standardized test this year.

At the null hypothesis, we test if the mean score this year is the same as last year, that is:

$H_0: \mu = 51$

At the alternate hypothesis, we test if the mean score improved this year from last, that is:

$H_1: \mu > 51$

The appropriate hypotheses for performing a significance test is:

$H_0: \mu = 51$

$H_1: \mu > 51$

8 0

3 years ago

Find the measure of the missing angle.<br> 21°<br> a

Citrus2011 [14]

Answer:

write complete question...

so,I can solve it

Step-by-step explanation:

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5 0

3 years ago

Given that answer please

neonofarm [45]

Answer:

<BCA = 44.4°

Step-by-step explanation:

Reference angle = <BCA = C

Opposite side length = x = 7 cm

Hypotenuse = y = 10 cm

Applying trigonometric ratio, we would have:

$sin(C) = \frac{7}{10}$

$C = sin^{-1}(\frac{7}{10})$

$C = 44.427004$

<BCA = 44.4° (to 3 SF)

5 0

3 years ago

The following gives information about the proportion of a sample that agree with a certain statement. Use StatKey or other techn

marishachu [46]

Answer:

(0.2278, 0.3322)

Step-by-step explanation:

Given that out of 400 people 112 agree and 288 disagree

Proportion of people agreeing = $\frac{112}{400} =0.28$

$q=1-p =0.72\\se = \sqrt{\frac{pq}{n} } =0.03175$

For confidence interval 90% we have critical value as

1.645

Margin of error =1.645*SE

= $1.645(0.03175)\\= 0.0522$

Confidence interval $= (0.28-0.0522, 0.28+0.0522)\\= (0.2278, 0.3322)$

3 0

3 years ago