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2 years ago

Part 1: Multiple Choice

Mathematics

1 answer:

Keith_Richards [23]2 years ago

7 0

Option C: (0,125) is the y - intercept.

Explanation:

The given function is $f(x)=x^3-5x^2-25x+125$

We need to determine the y - intercept.

The value of y - intercept:

The y - intercept is the value of y when x = 0

The y - intercept of the function can be determined by substituting x = 0 in the function.

Hence, let us substitute x = 0 in the function $f(x)=x^3-5x^2-25x+125$ , we have,

$f(x)=(0)^3-5(0)^2-25(0)+125$

Simplifying the terms, we get;

$f(x)=0-5(0)-25(0)+125$

$f(x)=0-0-0+125$

$f(x)=125$

Thus, the value of y is 125.

Hence, the y - intercept is 125.

Therefore, the coordinates of the y - intercept are (0,125)

Hence, Option C is the correct answer.

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What is the length of segment AB with point A and B located at (-4, 1) and (2, 9)

navik [9.2K]

Answer:

<h3>The answer is 10 units</h3>

Step-by-step explanation:

The distance between two points or a line segment can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 1) and (2, 9)

The length of segment AB is

$|AB| = \sqrt{ ({ - 4 - 2})^{2} + ({1 - 9})^{2} } \\ = \sqrt{( { - 6})^{2} + ({ - 8})^{2} } \\ = \sqrt{36 + 64} \\ = \sqrt{100} \: \: \: \: \: \: \: \: \\ = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

We have the final answer as

<h3>10 units</h3>

Hope this helps you

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2 years ago

Read 2 more answers

You want to estimate the number of students in your middle school school who buy school lunch. Which sample is unbiased?

Nezavi [6.7K]

A biased example: Asking students who are in line to buy lunch

An unbiased example: Asking students who are leaving/going to lunch(NOT buying lunch).

But in this case, the answer choices can be... confusing.
Don't panic! You're given numbers and, of course, your use of logic.

Answer choice A: 100 students grades 6-8
Answer choice B: 20-30 students any one grade
Answer choice C: 5 students
Answer choice D: 50 students grade 8

An unbiased example would be to choose students from any grade. So we can eliminate choices B and D.

Now, the question wants to estimate how many people at your middle school buy lunch. This includes the whole entire school, and if you are going to be asking people, you aren't just going to assume that if 5 people out of 5 people you asked bought lunch, the whole school buys lunch.

So, to eliminate all bias and/or error by prediction, answer choice A, the most number of students, is your answer.

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2 years ago

2x2x7x13 Write the number whose prime factorization is given

kramer

Answer:

364

Step-by-step explanation:

2x2x7x13

The prime factorization is just the factors of a number.

To find the number, multiply the numbers together

2*2 = 4

4*7 = 28

28*13 = 364

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1 year ago

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yarga [219]

37 and 1/2 could mean:
37+ (1/2)
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