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AnnZ [28]
3 years ago
7

I need help on #6 please

Mathematics
1 answer:
lyudmila [28]3 years ago
5 0
We know the yint, so lets find the slope. (0,-12) and (8,-2) -2--12/8-0 or 10/8 or 1.25
So, the slope is 1.25
The answer is y=1.25x-12
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The following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10
Oksanka [162]

The distance from their house the Bensons' after 412 hours will be 18, 640 miles

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

A function is an expression or rule that explains the relationship between a dependent and independent variable.

Given the function;

d= 45 t + 100

Where;

  • d is the total distance
  • t is the time taken

If t = 412 hours

Substitute into the formula

d = 45 ( 412) + 100

d = 18540 + 100

d = 18, 640 miles

Thus, the distance from their house the Bensons' after 412 hours will be 18, 640 miles

Learn more about functions here:

brainly.com/question/2456547

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1 year ago
Which graph shows a proportional relationship?
ANEK [815]
The first and the second and the last one 

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Solve for x. 3x ^2 -4 = 8
LenKa [72]

Answer:

x = ±2

Step-by-step explanation:

3x ^2 -4 = 8

Add 4 to each side

3x ^2 -4+4 = 8+4

3x^2 =12

Divide each side by 3

3x^2 =12

3x^2/3 = 12/3

x^2 = 4

Take the square root of each side

sqrt(x^2) = ±sqrt(4)

x = ±2

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how many square feet of paper are needed to cover a bulletin board that is 3 feet tall and 6 feet wide
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18 square feet of paper is needed.
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Write the null and alternative hypotheses in words and then symbols for each of the following situations.
Marrrta [24]

Answer:

A) the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p^ = 0.5

Alternative hypothesis; Ha: p^ > 0.5

B) Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

Step-by-step explanation:

A) We are told that they sampled 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Thus, there will be a 50% chance of success for their grades to have improved and a 50% chance for it to remain the same.

Thus; p^ = 0.5

So the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p = 0.5

Alternative hypothesis; Ha: p > 0.5

B) We are told that they estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc

Also, They also collect data on how much company time employees spend on such non-business activities during March Madness.

The hypotheses in words and symbols are;

Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

6 0
3 years ago
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