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Rufina [12.5K]
3 years ago
6

Solve the inequality -7x >21. What is the graph of the solution

Mathematics
2 answers:
Anni [7]3 years ago
5 0

Answer:

-3 > x

Explanation:

-7x > 21

___ ___

-7 -7

x < -3

Now, whenever we <em>divide</em> or <em>multiply</em> by a negative, we reverse the inequality symbol.

In order to graph this, you do what I call the zero-interval test, which in this case, we plug in 0 for x, and determining whether the statement is false or true, determines which side we shade:

0 < -3 [Since this is a false statement, instead of shading to the <em>right</em>, we shade to the <em>left</em>.]

I am joyous to assist you anytime.

umka21 [38]3 years ago
3 0

Answer:

After solving the inequality -7x >21 the answer is x < -3

Step-by-step explanation:

Solve the inequality -7x >21. What is the graph of the solution

Solving:

-7x > 21

Multiply both sides by -1

The inequality sign is reversed

7x < - 21

Now divide both sides by 7

7x / 7 < -21/7

x < -3

The graph is attached in the figure below.

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2 years ago
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
adell [148]

Answer:

option D

2x − 7(−3x − 17) = 4

Step-by-step explanation:

Given in the question two equations

<h3>Equation 1</h3>

2x - 7y = 4

<h3>Equation 2</h3>

3x + y = -17

Rearranging equation 2 in terms of y

3x + y = -17

y = -17 - 3x

Put this value of y in Equation 1

2x - 7y = 4

2x - 7(-17 - 3x) = 4

So,

If you use the substitution method to solve the following system, new equation will be

<h3>2x - 7(- 3x - 17) = 4 </h3>

3 0
2 years ago
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

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3 years ago
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Answer:

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