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4 years ago

Is it parallel or is it perpendicular?

Mathematics

1 answer:

zavuch27 [327]4 years ago

4 0

It is parallel, which means that the new line should have the same slope of the given line $y=-5/4 x+7$
and the slope is the coefficient of x
so the slope = -5/4
in order to solve this problem we have to know the equation of the slop
$slope= \frac{y-y1}{x-x1}$
where (x1,y1) is the point by which the new line passes through

$\frac{-5}{4}=\frac{y-(-4)}{x-1}$
$\frac{-5}{4}= \frac{y+4}{x-1}$
-5(x-1)=4(y+4)
-5x +5=4y+16 (by subtracting 16 from both sides)
-5x -11= 4y (divide both sides by 4)
y= $\frac{-5}{4}x - \frac{11}{4}$

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Which shows the graph of the solution set of 3y – 2x > –18?

nikdorinn [45]

Answer:

Graph of the inequality 3y-2x>-18 is given below.

Step-by-step explanation:

We are given the inequality, 3y-2x>-18

Now, using the 'Zero Test', which states that,

After substituting the point (0,0) in the inequality, if the result is true, then the solution region is towards the origin. If the result is false, then the solution region is away from the origin'.

So, after substituting (0,0) in 3y-2x>-18, we get,

3\times 0-2\times 0>-18

i.e. 0 > -18, which is true.

Thus, the solution region is towards the origin.

Hence, the graph of the inequality 3y-2x>-18 is given below.

8 0

3 years ago

At a price of $9 per box of oranges, the supply is 320,000 boxes and at a price of $8.50 per box, the supply is 270,000 boxes. F

artcher [175]

We want to find a linear equation that models the given situation.

The solution is p = $0.0001*q - $23

The general linear equation is:

p = m*q + c

Where m is the slope and c is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Here we have the two points:

price = $9, boxes = 320,000

price = $8.50, boxes = 270,000

We can rewrite these as:

(320,000 , $9)

(270,000 , $8.50)

Then the slope of the line will be:

$m = \frac{\$ 9 - \$ 8.50}{320,000 - 270,000} = \$ 0.00001$

Then the line is something like:

p = $0.0001*q + c

To find the value of c we can use one of the two given points, I will use the first one, (320,000 , $9).

Replacing that in our equation we get:

$9 = $0.0001*320,000 + c

$9 - $0.0001*320,000 = c = -$23

Then the linear equation is:

p = $0.0001*q - $23

If you want to learn more you can read:

brainly.com/question/11687874

3 0

3 years ago

Who can explain to me what is sample space probobility 15 POINTS!!!

DIA [1.3K]

a sample space, , which is the set of all possible outcomes.

A set of events , where each event is a set containing zero or more outcomes.

The assignment of probabilities to the events; that is, a function from events to probabilities.

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4 0

3 years ago

Read 2 more answers

A local boys club sold 176 bags of mulch and made a total cost of $520.They sold hardwood mulch for $3.50 per bag and pine bark

ExtremeBDS [4]

Answer:

So here is the answer.

We represent h = hardwood and p = pine bark

Here is the equation: h + p = 176

2.75p + 3.50h = 520

Next, p = 176 -h (substitute)

2.75 (176-h) + 3.5h = 520

484 -2.75h + 3.5h = 520

3.5h-2.75h = 520 -484

0.75h = 36 (divide both by 0.75)

h = 48

Therefore, the number of hardwood sold is 48.

h + p = 176

p = 176-48

p= 128

The number of pine bark sold is 128.

Hope this helps :)

Step-by-step explanation:

5 0

4 years ago

What do the inner planets and outer planets have in common

Klio2033 [76]

The Inner and Outer planets have many things in common, they both orbit around a star (In this case the star they orbit is the Sun) All eight planets are round which make them similar.

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3 years ago