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NeTakaya
3 years ago
14

Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) - 13?

Mathematics
1 answer:
madam [21]3 years ago
8 0

Answer: D) The graph of y = f(x) will shift down 13 units.​

Step-by-step explanation:

Let's define the transformations of translations.

If we start with a function f(x):

For A > 0.

An horizontal translation of A units to the right is written as g(x) = f(x - A)

An horizontal translation of A units to the right is written as g(x) = f(x + A).

A vertical translation of A units up is written as g(x) = f(x) + A

A vertical translation of A units down is written as g(x) = f(x) - A.

In this question we have the transformation:

y = f(x) - 13

This is a translation of 13 units down, then the correct option is:

D) The graph of y = f(x) will shift down 13 units.​

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A bowl contains 6 green grapes, 10 red grapes, and 8 black grapes. Which of the following is the correct
irina1246 [14]

Using the it's concept, the correct calculation for the probability of choosing a red grape and then without putting the red grape back into the bowl, choosing a green grape is:

p = \frac{5}{2} \times \frac{1}{23} = \frac{5}{46}

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, we have that there is a total of 6 + 10 + 8 = 24 grapes. For the first grape, 10 are red, hence the probability that the first grape is red is:

pR = \frac{10}{24} = \frac{5}[12}

For the second grape, considering that the first was red and was removed, there will be 23 grapes, out of which 6 will be green, hence the probability that the second grape is green is:

pG = \frac{6}{23}

Hence the correct expression is found as follows:

p = pR \times pG = \frac{5}{12} \times \frac{6}{23} = \frac{5}{2} \times \frac{1}{23} = \frac{5}{46}

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

5 0
2 years ago
Please choose the answer that describes the scientific notation for 5,098,000.. A. 5.098 × 75777. B. 5.098 × 108. C. 5.098 × 107
Sidana [21]
Standard form:
5,098,000

Scientific notation. 
1) only 1 digit should be before the decimal point.
5.098000

2) only non-zero number must be part of the coefficient. the rest are included in the base of 10.

5.098 x 10^6  Choice D.

Exponent is the number of times the decimal moved from its original placement to its place after the 1st digit. 
5 0
3 years ago
Read 2 more answers
How to solve the area of composite figures
Llana [10]

Answer: Mrs.forjan???


Step-by-step explanation:


3 0
3 years ago
Write an expression that is equivalent <br> 1/2a-4
dimaraw [331]

Step-by-step explanation:

Answer

a - 8

------------+

2

8 0
2 years ago
MP bisects ∠BMS. If m∠BMP = 2x + 9 and m∠BMS = 7x – 3, find the value of m∠PMS
dimulka [17.4K]

Answer:

Step-by-step explanation:

If MP bisects ∠BMS, then the line MP divides <BMS equally;

The adition postulate if therefore true;

<BMP +< PMS = <BMS and <BMP = < PMS

The equation becomes;

<BMP +< BMP= <BMS

2 <BMP = <BMS

2(2x+9) = 7x - 3

4x+18 = 7x-3

collect like terms

4x-7x = -3-18

-3x = -21

x = 21/3

x = 7

Since <BMP = < PMS 2x+9

< PMS = 2(7)+9

< PMS = 14+9

< PMS = 23

Hence the value of < PMS is 23

3 0
3 years ago
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