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Damm [24]
3 years ago
12

If 5<2x+3<11, what is the possible range of value of -4x-6

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

-10 > (-4x - 6) > -22

Step-by-step explanation:

Given inequality is 5 < 2x + 3 < 11

Now we will multiply this inequality by (-2) resulting,

5(-2) > (2x + 3)(-2) > 11(-2)

-10 > (-4x - 6) > -22 (Sign of inequality gets reversed when the inequality is multiplied or divided by a negative number)

Therefore, the possible range of (-4x - 6) is between -22 and -10.

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During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by
Alja [10]

Answer:

The numbers of measure of music played are 1 and 7

Step-by-step explanation:

Given

s = 10|x - 4| + 50

Required

Solve for x when s = 80

Substitute 80 for x

80 = 10|x - 4| + 50

Subtract 50 from both sides

80 - 50= 10|x - 4| + 50 - 50

30= 10|x - 4|

Divide through by 10

\frac{30}{10}= \frac{10|x - 4| }{10}

3= |x - 4|

Reorder

|x - 4| = 3

This can be split into

x - 4 = 3 or x - 4 = -3

Solve for x

x = 4 + 3 or x = 4 - 3

x = 7 or x = 1

Hence:

<em>The numbers of measure of music played are 1 and 7</em>

4 0
3 years ago
Diya used modeling to find
slamgirl [31]

Answer:C

Step-by-step explanation: The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04

8 0
2 years ago
NEED HELP ASAP
balu736 [363]

Answer:

∠4 and ∠3

∠4 and ∠5

∠3 and ∠6

Step-by-step explanation:

A pair of angles is said to be supplementary when the 2 angles add up to give 180°.

Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.

Thus, since m< 3 is given as 90°, m<4 = 90°.

m<4 + m<3 = 180°.

Therefore, <4 and <3 are supplementary.

<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.

6 0
3 years ago
Find the area of the parallelogram shown below and choose the appropriate result.
Lisa [10]

Answer:

The area of the parallelogram is 0.1875 mile² ⇒ D

Step-by-step explanation:

The formula of the area of a parallelogram is A = b1 × h1 = b2 × h2, where

  • b1 and b2 are two adjacent sides of it
  • h1 and h2 are the heights perpendicular to these bases

In the given figure

∵ There is a parallelogram

∵ One of its bases is 0.25 mile

∴ b1 = 0.25 mile

∵ the height of this base is 0.75 mile

∴ h1 = 0.75 mile

→ By using the rule of the area above

∴ The area of the parallelogram = 0.25 × 0.75

∴ The area of the parallelogram = 0.1875 mile²

∴ The area of the parallelogram is 0.1875 mile²

6 0
2 years ago
Let ​f(x)=x^2 and ​g(x)=x-3. Find ​(f​ º g)(​-1).
ValentinkaMS [17]

Answer:

Step-by-step explanation:

8 0
3 years ago
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