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Musya8 [376]
3 years ago
14

What is the solution to –2(5y – 5) – 3y ≤ –7y + 22?

Mathematics
2 answers:
Gre4nikov [31]3 years ago
6 0
-2(5y - 5) - 3y < = -7y + 22
-10y + 10 - 3y < = -7y + 22
-13y + 10 < = -7y + 22
-13y + 7y < = 22 - 10
-6y < = 12
y > = -12/6
y > = -2....answer B

slavikrds [6]3 years ago
4 0

Answer:

Option: B is the correct answer.

y≥ -2

Step-by-step explanation:

We are asked to find the solution of the inequality:

–2(5y – 5) – 3y ≤ –7y + 22.

We will solve for the inequality as:

-2×5y-2×(-5)-3y ≤ -7y+22   (on solving for the parantheses in the left hand side of the inequality)

-10y+10-3y ≤ -7y+22

⇒ -10y+7y-3y ≤ 22-10   (on combining the like terms)

⇒  -6y ≤  12

⇒  y≥ -2 (on dividing both side by -6 also the sign of the inequality changes as the negative sign is treated on both the side)

Hence option: B is the correct answer.

y ≥ -2.

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1. Using the diagram below, answer the following question. Arthur is at the coordinate A(20,35), Cameron is at the coordinate C(
statuscvo [17]

Answer:

(42.5, 37.5)

Step-by-step explanation:

Given:

Arthur = A(20, 35)

Cameron = C(65, 40)

Jamie = J(45, 20)

Required:

Coordinate of the midpoint of the distance between A and C.

SOLUTION:

Midpoint (M) of AC, is given as:

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Let A(20, 35) = (x_1, y_1)

C(65, 40) = (x_2, y_2)

Plug the values into the given formula:

M(\frac{20 + 65}{2}, \frac{35 + 40}{2})

M(\frac{85}{2}, \frac{75}{2})

M(42.5, 37.5)

Coordinate Jamie should run towards is (42.5, 37.5)

8 0
3 years ago
A person gain sp of 4 lemons by selling 20 lemon find profit percentage?​
dezoksy [38]

Answer:

Question not Understood

Step-by-step explanation:

I am not understanding the question. Are they Gaining 4 lemons by selling 20? Did they buy 24 lemons, and sell 20 then keep the 4? please elaborate

3 0
3 years ago
What is the domain of the function shown in the graph below?
cricket20 [7]

Answer: interval from -8 to 5

In interval notation, we would write [-8, 5]

The domain is the set of allowed x inputs to a function. The left-most point is (-8,0) so x = -8 is the smallest x value allowed. The largest x value allowed is x = 5 due to the point (5,0) being the right-most point.

The use of square brackets in interval notation says "include this endpoint as part of the interval".

6 0
3 years ago
Read 2 more answers
Find the distance between the points (-3, 11) and (5, 5).
marshall27 [118]
Formula for distance between two points:

d  = √((x₂-x₁)² + (y₂-y₁)²)

Let point 1 be (-3, 11) and point 2 be (5, 5)

Therefore x₁ = -3, y₁ = 11, x₂ =5, y₂ = 5, and substituting in the formula above.

d = √((x₂-x₁)² + (y₂-y₁)²)

   = √((5- -3)² + (5-11)²)

   = √((5+3)² + (5-11)²)

   = √((8)² + (-6)²)          8² = 8*8 = 64, (-6)² = -6*-6 = 36

   = √(64 + 36)

  = √(100)

  = 10

Distance = 10 units.
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Read 2/3 pages in an hour how long would it take to read 20 pages
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