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ValentinkaMS [17]
3 years ago
12

1. Find the possible values for s in the inequality 12s – 20 ≤ 50 – 3s – 25

Mathematics
2 answers:
hjlf3 years ago
6 0
12s - 20 < 50 - 3s - 25

12s - 20 < 25 - 3s
+3s. +3s

S cancels

15s - 20 < 25
+ 20. +20

15s < 45
/15. /15

S < or equal to 3
nexus9112 [7]3 years ago
6 0
Hello there.

<span>1. Find the possible values for s in the inequality 12s – 20 ≤ 50 – 3s – 25

First, s</span><span>implify both sides

Next, a</span><span>dd 3s to both sides

Then, just add</span><span> 20 to both sides and divide both sides by 15.

Final answer: </span>s ≤ <span>3</span>
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3 years ago
F(x) = x2 – x-1<br> What is the average rate of change of f over the interval -1 &lt; x &lt; 1?
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Answer:

-2 < x - 1 < 0

Step-by-step explanation:

  • 2x - × - 1 = x -1

  1. -1 < x < 1

2. -2 < x - 1 < 0

7 0
3 years ago
Read 2 more answers
Triangle QRS is dilated according to the rule DO,2 (x,y).
Gemiola [76]

The correct options about the dilation are; Options A, B and E

<h3>How to interpret Dilated Objects?</h3>

From the given information, find attached a dilated image.

The scale factor is 2

QRS → Q'R'S' = (x,y) → 2(x,y)

The coordinates of ∆QRS are; Q (-3, 3), R (2, 4) and S (-1, 1)

To get the coordinates of Q'R'S', we would multiply each coordinate of the original triangle by the scale factor of 2 since the dilation is from the origin. In other words, each vertex of QRS is multiplied by 2 to get each of the vertex of Q'R'S'.

2(x, y) = (2x, 2y)

The coordinates of ∆Q'R'S' becomes: Q' (-6, 6), R' (4, 8), S' (-2, 2)

To determine the statements that are true about the image ΔQ'R'S,

Starting with ΔABC, we would draw the dilation image of the triangle with a center at the origin and a scale factor of 2.

A) DO, 2 (x, y) = (2x, 2y)

A dilation about the origin with a scale factor 2 is described using the above notation.

Q' = 2(-3,3) = [2(-3), 2(3)] = (-6, 6)

R' (4, 8) = 2(2,4) = [2(2), 2(4)] = (4, 8)

S' (-2, 2) = 2(-1,1) = [2(-1), 2(1)] = (-2, 2)

Thus Option A is correct.

B) Side Q'S' lies on a line with a slope of -1

Q' (-6, 6)

S' (-2, 2)

coordinate (x, y)

Slope = m = (change in y)/(change in x)

m = (6-2)/[-6-(-2)]

m = 4/(-6+2) = 4/-4

m = -1

Option B is correct

c) QR is longer than Q'R'

Length of QR (-3 to 2) = 5

Length of Q'R' (-6 to 4) = 10

QR is not longer than Q'R'

Option C is false

d) The vertices of the image are closer to the origin than those of the pre-image.

From the diagram, the vertices of the preimage are closer to the origin than those of the dilation image.

Option D is False

e) The distance from Q' to the origin is twice the distance from Q to the origin.

The distance from Q' to the origin (6 to 0) = 6

The distance from Q to the origin (3 to 0) = 3

The distance from Q' to the origin = 2(the distance from Q to the origin)

Option E is correct.

Read more about Dilated Objects at; brainly.com/question/10253650

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Answer:

A

Step-by-step explanation:

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Leno4ka [110]
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Given, sum of three consecutive integers = -126
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x = -129/3
x = - 43
x +1 = -42
x +2 = -41
4 0
2 years ago
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