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2 years ago

Which linear equation has a slope of 3 and a y-intercept of –2?

2 answers:

7 0

Hey there!

We'll write our linear equation in the slope-intercept form, which is:

y = mx +b

Where m is the slope and b is the y-intercept. With that being said, we don't have to solve for anything here. We have both the slope in the y-intercept to plug in. We have:

y = 3x - 2

With 3 as the slope and 2 as the y-intercept.

Hope this helps!

oksian1 [2.3K]2 years ago

6 0

Answer:

y=-2x+3

Step-by-step explanation:

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If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80; what is the actual test score? (Round the ans

skad [1K]

If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80, the actual test score is; 89.75

<h3>How to solve z-score problems?</h3>

We are given;

Standard deviation; s = 5

z-score = 1.95

Mean = 80

Formula for z-score is;

z = (x' - μ)/σ

Thus;

1.95 = (x' - 80)/5

1.95 * 5 = (x' - 80)

9.75 = x' - 80

x' = 80 + 9.75

x' = 89.75

Read more about Z-score Problems at; brainly.com/question/25638875

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6 0

1 year ago

Solve the inequality |x − 6| − 10 < 1 Write the answer as a compound inequality

Tju [1.3M]

|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11

1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)

1)x<17
2)x>-5

so we get -5 < x < 17

the answer: (-5; 17)

5 0

2 years ago

What is the location of the point (5, 0) translates 4 units to the down and reflected across the y-axis?

CaHeK987 [17]

STEP-BY-STEP EXPLANATION:

Given information

The given ordered point = (5, 0)

Step 1: We need to translate the point 4 units down

To translate down means we will be subtracting a value from the y--axis

Hence, we have

$\begin{gathered} (x,\text{ y) }\rightarrow\text{ (x, y-b)} \\ \text{where b = 4} \\ (5,\text{ 0) }\rightarrow\text{ (5, 0 - 4)} \\ (5,\text{ 0) }\rightarrow\text{ (5, -4)} \end{gathered}$

When translated 4 units down, we got (5, -4)

Step 2: Reflect over the y-axis

The general rule for reflecting over the y-axis is (-x, y)

This means the value of x will be negated and the value of y will remain the same

$\begin{gathered} \text{Over the y-ax}is \\ (x,\text{ y) }\rightarrow\text{ (-x, y)} \\ (5,\text{ -4) }\rightarrow\text{ (-5, -4)} \end{gathered}$

Step 3: the graph the point

4 0

1 year ago

The slope of a line is -1/5 and the y intercept is 5. What is the equation of the line written in slope-intersept form?

vagabundo [1.1K]

Y = -1/5 + 5 is the equation

6 0

2 years ago

Read 2 more answers

There are 53 regular pencils in the box and some colored pencils in the box. There are a total of 84 pencils. How many colored p

vodka [1.7K]

Let be "x" the number of colored pencils in the box.

According to the information given in the exercise, there are 84 pencils in the box and 53 of them are regular pencils.

Knowing this information, you can set up the following equation:

$x+53=84$

Finally, you have to solve for the variable "x" in order to find its value. In order to do this, you can apply the Subtraction property of equality by subtracting 53 from both sides of the equation:

$\begin{gathered} x+53-(53)=84-(53) \\ x=31 \end{gathered}$

The answer is: There are 31 colored pencils in the box.

7 0

1 year ago