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3 years ago

Simplify. 13x+4−8+6x−13x−4

Mathematics

2 answers:

lyudmila [28]3 years ago

6 0

Answer:

6x-8

Step-by-step explanation:

Subtract 8 from 4 to get −4.

13x−4+6x−13x−4

Combine 13x and 6x to get 19x.

19x−4−13x−4

Combine 19x and −13x to get 6x.

6x−4−4

Subtract 4 from −4 to get −8.

6x−8

Fittoniya [83]3 years ago

4 0

Answer:

−8+6x

Step-by-step explanation:

ELIMINATE OPPOSITES--

13x+4−8+6x−13x−4

then you have your answer--

−8+6x

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dem82 [27]

2 would be the correct answer.

10/5 = 2/1 = 2

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3 years ago

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Suppose that in a senior college class of 500500 students, it is found that 179179 smoke, 228228 drink alcoholic beverages, 1

olga2289 [7]

Answer: a) 0.16, b) 0.058, and c) 0.856.

Step-by-step explanation:

Since we have given that

Number of students = 500

Number of students smoke = 179

Number of students drink alcohol = 228

Number of students eat between meals = 119

Number of students eat between meals and drink alcohol = 59

Number of students eat between meals and smoke = 72

Number of students engage in all three = 30

a) Probability that the student smokes but does not drink alcohol is given by

$P(S-A)=P(S)-P(S\cap A)\\\\P(S-A)=\dfrac{179}{500}-\dfrac{99}{500}\\\\P(S-A)=\dfrac{179-99}{500}\\\\P(S-A)=\dfrac{80}{500}\\\\P(S-A)=0.16$

b) eats between meals and drink alcohol but does not smoke.

$P((M\cap A)-S)=P(M\cap A)-P(M\cap S\cap A)\\\\P((M\cap A)-S)=\dfrac{59}{500}-\dfrac{30}{500}\\\\P((M\cap A)-S)=\dfrac{59-30}{500}\\\\P((M\cap A)-S)=\dfrac{29}{500}\\\\P((M\cap A)-S)=0.058$

c) neither smokes nor eats between meals.

$P(S'\cap M')=1-P(S\cup M)\\\\P(S'\cap M')=1-\dfrac{72}{500}\\\\P(S'\cap M')=\dfrac{500-72}{500}\\\\P(S'\cap M')=\dfrac{428}{500}=0.856$

Hence, a) 0.16, b) 0.058, and c) 0.856.

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3 years ago

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stira [4]

Answer: c

Step-by-step explanation:

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Answer:

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A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

vladimir1956 [14]

Answer: third option.

Step-by-step explanation:

By definition, a direct variation function has the form shown below:

$y=kx$

Where k is a constant.

Then, knowing the given points, you can calculate k with the formula for calculate the slope of a line:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-3)}{-12-(-9)}=\frac{1}{3}$

Substituting k into $y=kx$ , you obtain:

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