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Fed [463]
3 years ago
7

Solve each system of inequalties by graphing.

Mathematics
1 answer:
nordsb [41]3 years ago
8 0

Start by graphing each line.

• Because the first inequality is smaller than, it will have a dotted (- - -) line.

• Because the second inequality is smaller than or equal to, it will have a solid line (---).

Then, plug in points to see where your shading will go. If the statement is true (x = x), you will shade that area along the line.

y  < 3x + 2

(0)  < 3(0) + 2

0  <  2

0 is less than 2.

Do the same step for the other equation. Your solution to the problem is any point that lies between the shading from both inequalities (where the blue and red meet).

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Ben's living room is a rectangle measuring 9 yards by 156 inches. By how many feet does the length of the room exceed the width?
shusha [124]
The answer is 5 yards
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2 years ago
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Abigail is 8 years older than Cynthia. Twenty years ago Abigail was three times as old as Cynthia. How old is each now?
irina [24]
A - age of Abigail
C - age of Cynthia

A = C + 8

A - 20 = 3 (C - 20) 

A - 20 = 3C - 60  

C + 8 - 20 = 3C - 60

C - 12 = 3C - 60                A = C + 8

2C = 48                             A = 24 + 8 

C = 24 years                     A = 32 years
5 0
3 years ago
Read 2 more answers
16x^2 - 49 when factored is ?
vaieri [72.5K]

Answer:

(4x-7)(4x+7)

Step-by-step explanation:

This is called the Difference of Two Squares (DOTS).

These are the conditions that must be met for DOTS to work:

•There must be 2 terms.

•They must be separated by a negative sign.

•Each term must be a perfect square.

First, you have to find 2 square numbers that times together to make 16.

4×4=16

As we want 16x², you just need to make the 4 become 4x:

4x times 4x equals 16x²

Then, find 2 squares that times together to make 49.

7×7=49

You can put the two squares into a bracket with the x variable first, then the number:

(4x-7)(4x+7)

In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.

You can double check your answer by expanding it back out again using FOIL:

F-First

O-Outer

I-Inner

L-Last

Times the First two in the two brackets:

4x times 4x equals 16x²

Times the Outer two:

4x times 7 equals 28x

Times the Inner two:

-7 times 4x equals -28x

Times the Last two:

-7 times 7 equals -49

Form an equation:

16x²+28x-28x-49

The 28x cancel out to leave:

16x²-49

Hope this helps :)

3 0
3 years ago
Help please!! <br> What is the domain of the function shown in the graph?
diamong [38]

Answer:

x ≥ - 1

Step-by-step explanation:

4 0
3 years ago
ali's tyre pressure gauge shows a reading witch is 8 % lower than the actual pressure when the gauge shows 33.58
Rama09 [41]

Answer:

the actual pressure is 31.09

Complete question:

What is the actual pressure when Ali's gauge shows 33.58

Step-by-step explanation:

Given,

Ali's tyre presser gauge show a reading 8% higher than the actual pressure.

Ali's gauge shows 33.58.

Let the actual pressure be x.

According to problem,

 x\times\frac{108}{100} =33.58 { [If 8% increasing  of a no ⇒ The number becomes =                      (\frac{100+8}{100})of the number}

x= \frac{33.58\times100}{108}

x=31.09

Therefore, the actual pressure is 31.09

5 0
2 years ago
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