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3 years ago

2. Create a linear function that has a rate of change of 3 and a solution at (6, 12).

Mathematics

1 answer:

Ksivusya [100]3 years ago

4 0

Answer:

$y = 3x - 6$

Step-by-step explanation:

A linear function has the following format:

$y = ax + b$

In which a is the slope(rate of change) and b is the y-intercept, that is, the value of y when x = 0.

Rate of change of 3

This means that $a = 3$

$y = 3x + b$

A solution at (6, 12).

This means that when x = 6, y = 12. So

$y = 3x + b$

$12 = 3*6 + b$

$b = -6$

The linear function is:

$y = 3x - 6$

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if something starts up costing 500, and then is marked down by 25% on rack of three separate occasions, what is the final price?

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3 years ago

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Answer: see below

<u>Step-by-step explanation:</u>

1) 10, 2, 1.2, 1.12, 1.112, 1.1112

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t₁ = 10

t₂ = 10/10 + 1 = 2

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t₄ = 1.2/10 + 1 = 1.12

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3 years ago

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Bezzdna [24]

Answer:

The correct way to set up the slope formula for the line that passes through points (5 , 0) and (6 , -6) is $\frac{-6-0}{6-5}$ ⇒ C

Step-by-step explanation:

The formula of the slope of a line passes through points $(x_{1},y_{1})$ and $(x_{2},y_{2})$

is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ The line passes through points (5 , 0) and (6 , -6)

∴ $x_{1}$ = 5 and $x_{2}$ = 6

∴ $y_{1}$ = 0 and $y_{2}$ = -6

Substitute these values in the formula of the slope

∵ $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∴ $m=\frac{-6-0}{6-5}$

Let us look to the answer and find the same formula

The answer is:

The correct way to set up the slope formula for the line that passes through points (5 , 0) and (6 , -6) is $\frac{-6-0}{6-5}$

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3 years ago

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Nikitich [7]

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3 years ago

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Kaylis [27]

Answer: The probability of rejecting the null hypothesis, when it is true, is 5%.

Step-by-step explanation:

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Therefore , If the level of significance (\alpha[/tex] ) 0.05, then it means that it is the probability of rejecting the null hypothesis when it is true.

i.e. The probability of rejecting the null hypothesis when it is true= 0.05

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Hence, the correct option is : The probability of rejecting the null hypothesis when it is true is 5%.

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3 years ago