The system of equations is graphed on the coordinate plane.

If the probability of rain today is 15%, what is the probability that it will not

EleoNora [17]

The probability that will not rain today is: 85%

100% - 15% = 85%

The correct answer is A

6 0

3 years ago

Greg chose C as the answer. How might he have gotten that answer?

Katyanochek1 [597]

Given:

The equation is

$-0.4x+0.05y-1.25=0$

Where, y is the total cost and x is the number of months.

To find:

The y-intercept of the line represented by this equation.

Solution:

We have,

$-0.4x+0.05y-1.25=0$

Isolate y variable.

$0.05y=0.4x+1.25$

Divide both sides by 0.05.

$y=\dfrac{0.4x+1.25}{0.05}$

$y=\dfrac{0.4x}{0.05}+\dfrac{1.25}{0.05}$

$y=8x+25$

Putting x=0, we get

$y=8(0)+25$

$y=0+25$

$y=25$

Therefore, the y-intercept of the given equation is 25 and the correct option is D.

7 0

3 years ago

Find the equation of a line parallel to y = x – 3 that contains the point (-2, 1).<br> Yeah

SashulF [63]

Answer:

The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

$y = x + 3$

The graph of both the parallel equation is shown below to make you further understand the concept.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

$m$ is the slope

$b$ is the y-intercept

Given the equation

$y = x - 3$

comparing with the slope-intercept form of the line equation

Slope m = 1

<u>Important Tip:</u>

As the parallel lines never intersect, therefore, they have the same slopes.

Thus, the slope of the parallel line is also 1.

As the parallel line contains the point (-2, 1).

so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line

$y = mx+b$

$1 = 1(-2) + b$ ∵ (x, y) = (-2, 1) and m = 1

$1 = -2 + b$

switch sides

$-2+b = 1$

add 2 to both sides

$-2 + b + 2 = 1 + 2$

simplify

$b = 3$

Thus, the y-intercept b of the parallel line is: b = 3

now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the equation of the parallel line

$y = mx + b$

$y = (1)x + 3$

$y = x + 3$

Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

$y = x + 3$

The graph of both the parallel equation is shown below to make you further understand the concept.

From the graph:

The green line represents the equation y = x - 3

The black line represents the parallel equation y = x + 3

It is clear that both lines are parallel.

6 0

3 years ago

Which expression has a value of two-third

Ratling [72]

While as you didn’t provide any picture or information on what the choices are, the answer would be a circle ((if there is a circle in any of your options-)) cut into three parts with two parts filled. Basically any shape that’s cut into three parts with two parts filled in would be your answer. Hope this helped!

5 0

3 years ago

Four friends are out for a walk at night and come to an old bridge. it isn’t safe to cross the bridge without a flashlight, and

Anna71 [15]

First the person with a flashlight and one of his friends cross the bridge. After that same person with a flashlight comes back and leads another friend to the other side. Finally he comes back again and leads the last of them.
Number of times that he will have to cross the bridge is 5 ( five ).

8 0

4 years ago