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seropon [69]
3 years ago
10

What does this mean exactly?​

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0

Answer: Choice B  y \le 0

========================================================

Explanation:

They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.

The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.

So y is between negative infinity and 0, which means we write -\infty < y \le 0

Converting that to interval notation leads to (-\infty, 0]. Note the square bracket to include the endpoint.

The compound inequality -\infty < y \le 0 simplifies to y \le 0

One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".

Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.

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Alex787 [66]
B. I think I’m really not sure that’s confusing as hell and I’ve passed that
4 0
3 years ago
Knox save $56 during the summer break. He spent 3/7 of his savings on a pair of baseball cleats. He spent 5/8 of the remaining m
iogann1982 [59]

Answer:

12 dollars

Step-by-step explanation:

He spent 3/7 of 56

3/7*56 =24

Take the original amount and subtract what was spent

56-24 =32

He has 32 left

He spent 5/8 of that on a bat

5/8 *32 =20

Take the amount of money he had and subtract what was spent

32-20 = 12

He has 12 left

8 0
3 years ago
Read 2 more answers
-3(_x + 4) = 9x – 12 Using the distributive property, what number would go in the blank in order for the given statement to be c
Licemer1 [7]

Answer:

-3(-3x + 4) = 9x - 12

Step-by-step explanation:

-3( Ax + 4) = 9x - 12

-3Ax -12 = 9x - 12

Equating coefficients of  x terms on both sides :

-3A = 9

A = -3

Therefore, -3(-3x + 4) = 9x - 12

4 0
3 years ago
Which line is parallel to the line<br> shown below?
Travka [436]
<h3>Answer:  Choice D</h3>

4x - 3y = 15

====================================================

Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2)  = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\

The slope is 4/3 meaning we go up 4 and to the right 3.

-------------

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

  • slope of equation B is 3/4
  • slope of equation C is -4/3
  • slope of equation D is 4/3

We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

4 0
9 months ago
Kalon and his friend Marna own a chimney sweep service company. Working together, they can clean a chimney in 1 5/7 hours. If it
aleksley [76]
So to set up the equation we have: <span><span><span>4M</span><span>4+M</span></span>=<span>127</span></span>
<span>28M=12(4+M)</span>
<span>28M=48+12M</span>
<span>28K−12M=48</span>
<span>(28−12)M=48</span>
<span>16K=48</span>
<span>M=<span>4816</span></span>
<span>M=3</span> So Marna can clean the chimney alone in 3 hours
5 0
3 years ago
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