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KatRina [158]
3 years ago
11

Solve for X. −68 < 8x − 4 < −36

Mathematics
2 answers:
arsen [322]3 years ago
7 0
You want to get x in the middle by itself.

Add 4 to all pieces.

-68 < 8x-4 <-36
+4 +4 +4

-64<8x <-32

Divide everything by 8

-64/8<8x/8<-32/8

-8< x <-4

Answer:: all the number between -8 and -4 but not counting them
Aloiza [94]3 years ago
4 0

Answer:

The required solution is -8 in interval notation (-8,-4).

Step-by-step explanation:

Consider the provided inequality.

-68 < 8x - 4 < -36

We need to solve the inequity for x.

Add 4 to the provided inequality.

-68+4

Divide both the sides by 8.

-8

Thus, the value of x is greater than -8 but less than -4.

The required solution is -8 in interval notation (-8,-4).

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Answer:

Option D In step 4 Keith should have subtracted 5 from each side

Step-by-step explanation:

step 1

we have

f(x)=7x+5 -----> given

step 1 is correct

step 2

Change f(x) to y

y=7x+5

so

step 2 is correct

step 3

Exchange x for y and y for x

x=7y+5

so

step 3 is correct

step 4

Subtract 5 each side

x-5=7y+5-5

x-5=7y

<u><em>step 4 is not correct</em></u>

step 5

Divide by 7 each side

(x-5)/7=y

step 6

Change y to g(x)

(x-5)/7=g(x)

step 7

switch sides of the equation

g(x)=(x-5)/7

therefore

In step 4 Keith should have subtracted 5 from each side

5 0
3 years ago
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Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect d
Lesechka [4]
<h3>Answer: Choice C</h3>

The surface area of the pyramid is multiplied by 100.

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

Explanation:

Consider a square that is 3 by 3. Its area is 3*3 = 9.

Then we'll multiply each dimension by 10 to get a 30 by 30 square. The new larger area is 30*30 = 900. The jump from the old area (9) to the new area (900) is "times 100". We can write 100 as 10^2, where the base of that exponential is the scale factor 10.

This idea can apply to any surface area and not just squares. This is why the surface area of the enlarged pyramid is 100 times that of the original pyramid.

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8 0
2 years ago
What is the maximum value of P = 4x + 2y, given the constraints on x and y listed below? x+2y&lt;_ 10. y&lt;_2. x&gt;_0. y&gt;_0
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The answer is D. 40. I hope this helps!!!!!
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3 years ago
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Answer:

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Pls mark Brainliest :)

Step-by-step explanation:

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What is the surface area of the cylinder with height 7 in and radius 3 in? Round your
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Answer:

188.495

Step-by-step explanation:

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