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AVprozaik [17]
2 years ago
10

Use the inequalities to answer the following question

Mathematics
1 answer:
nika2105 [10]2 years ago
5 0

Answer:

C, E, and F

Explanation:

There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.

A better way is to simply solve each equation for x.

You could rewrite

2x + 7 < -3

as

2x + 7 = -3

and solve:

Subtract 7 from both sides

(2x + 7) -7 = (-3) - 7\\2x = -10

Now divide both sides by 2

\frac{2x}{2}  = \frac{-10}{2}\\x = -5

Now we can simply replace the equals sign with the inequality

x < -5

Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.

Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:

x - 8 + 3x < -4\\(x + 3x) -8 < -4\\4x - 8 < -4\\(4x - 8) + 8 < (-4) + 8\\4x < 4\\\frac{4x}{4} < \frac{4}{4}\\x < 1

Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.

These answers are:

C. -10

E. -8.24

and

F. -15/2 which is -7.5

NOTE: -5 is equal to but not less than -5 so G is not included.

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true or false? the circumcenter of a triangle is the center of the only circle that can be inscribed about it
MissTica

Answer:

TRUE

Step-by-step explanation:

The circumcenter of a triangle is the center of the only circle that can be circumscribed about it

6 0
3 years ago
Which of the following values are in the domain of the function graphed
Mice21 [21]

Answer:

  • A. -2
  • B. -1
  • D. 0
  • E. 4

Step-by-step explanation:

The domain includes all x values, and here, it is [-2, 4].

6 0
2 years ago
What is the value of R, what is the value of EF
yarga [219]
9r - 6 = 8r + 3
r = 9
EF = 4r + 19 = 4(9) + 19 = 36 + 19 = 55

hope it helps
4 0
3 years ago
(2b + 3r) + (4b+ r)
Pavlova-9 [17]
Let's simplify step-by-step. 
<span><span><span><span>2b</span>+<span>3r</span></span>+<span>4b</span></span>+r</span>

Combine Like Terms: 
<span>=<span><span><span><span>2b</span>+<span>3r</span></span>+<span>4b</span></span>+r
</span></span><span>=<span><span>(<span><span>2b</span>+<span>4b</span></span>)</span>+<span>(<span><span>3r</span>+r</span>)
</span></span></span><span>=<span><span>6b</span>+<span>4r</span></span></span>

Answer:<span>=<span><span>6b</span>+<span>4<span>r</span></span></span></span>
4 0
3 years ago
Solve this multi step equation: 8a + 2(1 - 5a) &lt; 20 (dash under &lt;)
Citrus2011 [14]
Okay. Basically, a is greater than or equal to 9.
First, you do distribute the 2.
8a+2-10a(< or =)20
Subtract two on both sides.
8a-10a(< or =)18
Then subtract 10a from 8a
-2a(< or =)18
Divide by two on both sides
and switch around the greater than sign since you divided by a <span>-2
</span>a(> or =)-9
<span>And if you check, -9 works, -8 works, and -10 doesn't work.</span>
5 0
3 years ago
Read 2 more answers
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