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Lena [83]
3 years ago
6

Help please. i’m cluelesssss

Mathematics
1 answer:
Triss [41]3 years ago
4 0

9514 1404 393

Answer:

  G  (-2, -3) is in the solution set

Step-by-step explanation:

<u>Finding the solution set</u>

You are given the boundary lines for the inequalities, but the graph does not show the solution set.

The line for inequality y < -2x -4 is the one with negative slope that extends from upper left to lower right. The relation of y to the comparison symbol is ...

  y <

indicating that y-values in the solution set will be less than those on the line. The line itself is NOT included in the solution set. That is, "shading" will be below and left of the line.

__

The line for inequality 2x - 4y ≤ 8 is the one with positive slope. Considering the variable with the positive coefficient, its relation to the comparison symbol is ...

  x ≤

indicating that x-values in the solution set will be less than (or equal to) those on the line. The line IS included in the solution set. Shading will be above and left of the line with positive slope.

Then the doubly-shaded area is the quadrant at the left side of the X where the lines cross. The lower boundary of that is included in the set, while the upper boundary is not.

__

<u>Considering the points</u>

Now that you know the location of the solution set, you can decide whether any given point is in it, or not.

Plotting the points, you find that F and G are on the boundary lines, and H and J are outside the solution set. Point F(-2, 0) is on the upper boundary line, so is not in the solution set, either.

The point listed in choice G, (-2, -3) is in the solution sets of both inequalities.

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Step-by-step explanation:

Question was pretty blurry so I had to write it out:

The school Spanish Club is holding a car wash to raise $200 to attend a conference. After spending $10 on supplies, the club will was cars for donations of $4 each.

The situation can be modeled by the inequality 4z-10≥200, which has the solution z≥52.5. What is the best way to interpret this solution?

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Another way to explain: The 4z would represent how much money they would make for all the cars they wash, but they have to subtract 10 dollars for the supplies. This total has to be equal to or more than their goal of 200 dollars.

7 0
3 years ago
LAST ONE GUYSSS \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Dete
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Answer:

m\angle L = 111\degree \\m\angle M = 69\degree

Step-by-step explanation:

Since, angle L and angle M are supplementary.

\therefore m\angle L + m\angle M= 180\degree  \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree  \\ x =  \frac{165 \degree}{30}  \\ x = 5.5 \degree \\  \\ m\angle L  = 12x + 45  \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L  = 66 + 45 \\ \huge \red{ \boxed{ m\angle L  = 111 \degree}} \\  \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\

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3 years ago
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