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3 years ago

What value of a in the equation ax − 4 = 2y would give a line with a slope of 2?

Mathematics

1 answer:

sukhopar [10]3 years ago

3 0

Answer:

a=4

Step-by-step explanation:

ax − 4 = 2y

We need to get the equation is slope intercept form y= mx+b.

Lets solve for y

Divide each side by 2

a/2 x - 4/2 = 2y/2

a/2 x -2 = y

or y=a/2 x -2

The slope is a/2 and the y intercept is -2

We want a slope of 2 so a/2 =2

a/2=2

Multiply each side by 2

a/2 * 2 =2*2

a =4

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Yuki888 [10]

Step-by-step explanation:

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2 years ago

7 more than 5 times a number is 122

Luba_88 [7]

Answer:

The number is 23.

Step-by-step explanation:

5n + 7 = 122 Subtract 7 on both sides

5n = 115 Isolate the variable by dividing 5 on both sides

n = 23

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3 years ago

B - 1 > -17 what does b equal?

Nastasia [14]

Answer:

b > -16

Step-by-step explanation:

The inequality is given as:

b - 1 > -17

To solve this problem, add +1 to both sides of the expression:

b - 1 + 1 > -17 + 1

Now;

b > -16

So, all values for which b is more than -16 satisfy the solution for this problem.

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3 years ago

The heart rate variability (HRV) of police officers was the subject of research published in a biology journal. HRV is defined

nexus9112 [7]

Step-by-step explanation:

Consider the provided information.

Part (A) We need to find the confidence coefficient.

The given value or percentage of probability is known as the confidence coefficient that the interval contains the parameter.

Hence, the confidence coefficient is 0.90

Part (B) Practical interpretation of both of the 99% confidence intervals.

It means that there is 99% confident that the mean of population HRV for officers diagnosed hypertension which lies between 6.9 and 122.9

There is 99% confident that the mean of population HRV for officers those are not hypertensive which lies between 144.2 and 184.9.

Part (C)

If you are saying 99% confident that means the 99% of the similarly generated confidence intervals will contain the true value of the population mean in repeated sampling.

Part (D)

If We want to reduce the width of each confidence interval, you need to use smaller confidence coefficient.

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3 years ago

What is the midpoint of the x-intercepts of f(x) = (x – 2)(x – 4)?

tatyana61 [14]

The x-intercepts are readily identified on the graph: (2,0) and (4,0). The midpoint of a line connecting those 2 points would be (3,0).

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3 years ago

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