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3 years ago

Solve the compound inequality. Graph your solution. 2x – 2 < –12 or 2x + 3 > 7

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

8 0

Answer:

Step-by-step explanation:

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A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54 . What is the volume of the dilated prism?

OLEGan [10]

The base area will be dilated: 54 x 54 times
The height is dilated: 54 times.
Current volume: 6 x 8
= 48 cm³

New volume: 48 x 54 x 54 x 54
New volume = 7,558,272 cm³

4 0

3 years ago

Read 2 more answers

A biologist is tracking the path of a bird. The bird flies from point A to point B on the map. What vector can be used to expres

lawyer [7]

Answer:

c = -5

d = -10

Step-by-step explanation:

A biologist is tracking a bird when it was at A.

Coordinates of point A are (2, 4).

This bird moves from point A to point B.

Coordinates of the point B are (-3, -6).

Vector form of vector represented by $\overrightarrow{AB}=$

By substituting the coordinates of points A and B,

$\overrightarrow{AB}=$

= < -5, -10 >

$\overrightarrow{AB}=\binom{-5}{-10}$

By comparing it with the vector form of [cd]

c = -5

d = -10

5 0

4 years ago

Susan ate 1/6 of a pumpkin pie. Joseph ate 3/4 of the same pumpkin pie. How much pie is left

ololo11 [35]

First you need the same denometer Which is 12
9/12+2/12 = 11/12
So 1/12 pie is left

6 0

3 years ago

Read 2 more answers

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8x and y = 2x + 2 intersect are the so

OleMash [197]

The point of intersection of two given equations is (0.333, 2.667).

Given that, equation with two variables are y = 8x and y = 2x + 2.

The given equations will intersect at some point where y is the same for both equations.

When you replace y in y = 2x + 2 with y = 8x, we get 8x = 2x + 2.

So, the solution of 8x = 2x+2 will satisfy both equations.

Now, we need to find the solutions to take the integer values of x between -3 and 3.

That is,

x = -3 , then 8(-3) = 2(-3) +2⇒-24 = -6+2

⇒-12 = -4 False.

similarly, for x = -2

8(-2) = 2(-2)+2

⇒-16 = -2 False

For, x = -1

8(-1) = 2(-1)+2

⇒-8= 0 False

For, x = 0

8(0) = 2(0)+2

⇒0= 2 False

For, x = 1

8(1) = 2(1)+2

⇒8= 4 False

For, x = 2

8(2) = 2(2)+2

⇒16 = 6 False

For, x = 3

8(3) = 2(3)+2

⇒24 = 8 False

Therefore, there is no solution to 8x = 2x +2 for the integers values of x between -3 and 3.

The equations can be solved graphically by plotting the two given functions on a coordinate plane and identifying the point of intersection of the two graphs.

The point of intersection is the values of the variables which satisfy both equations at a particular point.

Hence, you can see the graph as shown below, the point of intersection is (0.333, 2.667).

To learn more about the graphical representation of equation visit:

brainly.com/question/12804458.

#SPJ1

3 0

2 years ago

Suppose that daycare costs are normally distributed with a mean equal to $10,000 a year and a standard deviation equal to $2,000

notka56 [123]

Answer:

50%, 68.26%, 95.54%

Step-by-step explanation:

Let X be the day care costs

X is N(10000, 2000)

Since normal distribution is symmetrical about the mean we get

above 10000, exactly 50% of day care cost would be .

Between 8000 and 12000,

= $P(8000$

Between 6000 and 14000

$P(6000$ %

6 0

3 years ago