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3 years ago

Type the correct answer in the box. Use numerals instead of words.

Mathematics

2 answers:

Art [367]3 years ago

8 0

Answer: The y-intercept of the line is 6

Step-by-step explanation:

The equation of the line in the form $y = mx + b$ is called "Slope-Intercept form", where "m" is the slope of the line and "b" is the y-intercept.

Knowing that the line passes through the point (10,1) and has a slope of -0.5, we can identify that:

$x=10\\y=1\\m=-0.5$

Then, we can substitute values into the equation $y = mx + b$ and solve for "b".

$1=(-0.5)(10)+b\\\\1=-5+b\\\\1+5=b\\\\b=6$

Therefore, the y-intercept of the line is 6 .

Karo-lina-s [1.5K]3 years ago

7 0

Answer:

Step-by-step explanation:

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation $y = mx + b$ .

If a line has the slope of -0.5, then m=-0.5 and the equation of the line is

$y=-0.5x+b$

This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:

$1=-0.5\cdot 10+b\\ \\1=-5+b\\ \\b=1+5\\ \\b=6$

and the equation of the line is

$y=-0.5x+6$

Since b=6, the y-intercept of the line is 6.

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spayn [35]

Answer: three sets of value show 3 consecutive increases and they could be the intensities during fourth, fifth, and six visits:

66%, 69%, 72%;
63%, 65%, 67%, and
67%, 72%, 77%

Explanation:

1) The program recommends a constant intensity for 3 visits, which is what the table shows:

Day Intensisty

1 63%

2 equal ⇒ 63%

3 equal ⇒ 63%

2) Hence, you have to determine the valid sets that meet the recommendation for the fourth, fifth, and six visits, which are the next three.

2) For the next three visits, the program recommensd increasing intensities.

There are three options that show 3 consecutive increases; they are:

66%, 69%, 72%;
63%, 65%, 67%, and
67%, 72%, 77%

Therefore, those are the choices that apply.

4 0

3 years ago

Which property explains how we get the equation shown in step 2? Given: -5(x -4) - 20 = -15 Step 1: -5x + 20 -20 = -15 (Distribu

Talja [164]

Step 2: <span>Inverse Property of Addition
</span><span>any number added to its opposite will equal zero
</span>in this case + 20 - 20 = 0

answer
Inverse Property of Addition

8 0

3 years ago

Read 2 more answers

Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.

Anna [14]

Answer:

$a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}$