Module 1 Exam

7. Which two equations are equivalent?

sineoko [7]

Answer:

C. $y=(x-3)^2$ and $y=x^2-6x+9$

Step-by-step explanation:

before answering the problem let us remind the formula for square of sum and differences

$(a+b)^2=a^2+2 \times a \times b + b^2$

$(a-b)^2=a^2-2 \times a \times b + b^2$

We are going to use the above two formulas to solve each part and come to an answer

A. $y = (x + 3)^2$

$(x + 3)^2=x^2+2 \times x \times 3 + 3^2$

$(x + 3)^2=x^2+6x+9$

Hence this option is not correct pair

B. $y = (x-5)^2$

$(x - 5)^2=x^2-2 \times x \times 5 + 5^2$

$(x -5)^2=x^2-10x+25$

Hence this option is also not correct pair

C. $y = (x -3)^2$

$(x - 3)^2=x^2-2 \times x \times 3 + 3^2$

$(x -3)^2=x^2-6x+9$

Hence this option is correct as it have equivalent pair

D. $y = (x + 5)^2$

$(x + 5)^2=x^2+2 \times x \times 5 + 5^2$

$(x + 5)^2=x^2+10x+25$

Hence this option is also not correct pair

6 0

3 years ago

38. Jean owes her parents $90, to be paid in 5 equal installments. How much is each<br> installment?

creativ13 [48]

90 divided by 5 is 18 so $18 is the answer

5 0

2 years ago

Read 2 more answers

An exam consists of 50 multiple choice questions. Based on how much you studied, for

Ann [662]

Using the Central Limit Theorem, it is found that the sampling distribution of the sample proportion of the 50 questions on which you get the correct is approximately normal, with mean of 0.7 and standard error of 0.0648.

<h3>What does the Central Limit Theorem state?</h3>

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1 - p)}{n}}$ , as long as $np \geq 10$ and $n(1 - p) \geq 10$ .

In this problem, we have that p = 0.7, n = 50, hence the mean and the standard deviation are given as follows:

$\mu = p = 0.7$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648$

More can be learned about the Central Limit Theorem at brainly.com/question/24663213

5 0

2 years ago

Which of the options below show two numbers that are opposites? Select all that apply.

marshall27 [118]

Answer:

A,D and E are the answers.

mark brainliest

3 0

2 years ago

Read 2 more answers

Which angles below are complementary?

tigry1 [53]

9514 1404 393

Answer:

∠KXN and ∠QXT

Step-by-step explanation:

The measure of each angle is the difference of the scale values that the rays intercept. (The same scale needs to be used for each ray.) Of course, complementary angles have a sum of 90°.

Here, we'll refer to angle aXb as "ab".

NP = 95 -35 = 60

PQ = 35 -20 = 15 . . . not complementary to NP

__

KN = 165 -95 = 70

QT = 20 -0 = 20 . . . complementary to KN ⇒ your answer

__

JK = 180 -165 = 15

PQ = 35 -20 = 15 . . . not complementary to JK

__

JK = 15

NK = KN = 70 . . . not complementary to JK

6 0

2 years ago