1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marshall27 [118]
3 years ago
8

The solution of x+b>-14 is x>-21. What is the value of b?

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer:

  b = 7

Step-by-step explanation:

You can start with either inequality, then add the required amount to make it look like the other one.

___

<em>Starting with x > -21</em>

  x > -21

  x + 7 > -14 . . . . . add 7 to both sides

  b = 7 . . . . . . . . .  compare to the form x + b > -14

___

<em>Starting with x + b > -14</em>

  x + b > -14

  x + b -7 > -21 . . . add -7 to both sides

  b -7 = 0 . . . . . . compare to the form x > -21. 0 is added to x.

  b = 7 . . . . . . . . add 7 to both sides

You might be interested in
Looking for an answer to a. please
Paladinen [302]
It's a cube so x should also equal 6
4 0
3 years ago
Can you help me to solve this​
Ber [7]

Answer:

\frac{4a-2}{2a+1}

Step-by-step explanation:

Factorise the numerator and denominator

8a² - 2 ← factor out 2 from each term

= 2(4a² - 1) ← 4a² - 1 is a difference of squares

= 2(2a - 1)(2a + 1)

4a² + 4a + 1 ← is a perfect square

= (2a + 1)²

Thus

\frac{8a^2-2}{4a^2+4a+1}

= \frac{2(2a-1)(2a+1)}{(2a+1)(2a+1)} ← cancel (2a + 1) on numerator/ denominator

= \frac{2(2a-1)}{2a+1}

= \frac{4a-2}{2a+1}

3 0
3 years ago
Read 2 more answers
The SAT mathematics scores in the state of Florida are approximately normally distributed with a mean of 500 and a standard devi
Yanka [14]
The interval (300,700) corresponds to the part of the distribution lying within 2 standard deviations of the mean (since 500-2*100=300 and 500+2*100=700). The empirical rule states that approximately 95% of the distribution is expected to fall in this range.
7 0
3 years ago
Read 2 more answers
What is the probability that the number of “HEADs” on these four coins is equal to 3? (4 points)
slavikrds [6]

Answer:

a. \frac{1}{4}  

Step-by-step explanation:  

We are asked to find the probability of getting 3 heads on 4 flips.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}

Since we know that flipping a fair coin has 2 equally likely possible outcomes, so flipping four coins will have 2*2*2*2=16 possible outcomes.

Sample space of possible outcomes.

HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT,

THHH, THHT, THTH,THTT, TTHH, TTHT, TTTH, TTTT.

We can see that there are 4 favorable outcomes of getting heads.

\text{Probability of getting 3 heads}=\frac{4}{16}

\text{Probability of getting 3 heads}=\frac{1}{4}

Therefore, the probability of getting 3 heads on 4 coins will be \frac{1}{4} and option a is the correct choice.

5 0
3 years ago
Easy points<br>if f(x)=3x-2 and g(x)=2x+1,find (f+g)(x).<br><br>a.x-1<br>b.5x-1<br>c.5x-3<br>d.x-3
pychu [463]

the answer would be b.

(f+g)(x)= 3x-2+2x+1. combine like terms: 3x+2x=5x and -2+1+-1. combine the answers to get 5x-1

8 0
3 years ago
Other questions:
  • Can anyone pleas help​
    11·1 answer
  • Find f(-1) when f(x)=x^2+2x+7 <br> Please show your work !!
    11·1 answer
  • A rope is √250 units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ratio 3:2 . What is the
    6·2 answers
  • Anyone out there to help me? Please.
    10·1 answer
  • The following two-way table shows the number of students of a school who have a video game and/or have a laptop:
    15·2 answers
  • WHat is the ellimination of x-y=-2 and 7x+2y=-5
    7·1 answer
  • For the figures shown, FHJL ~ NPRS. The scale factor applied to FHJL to create NPRS is 4 to 3.
    5·1 answer
  • If a doesn't equal 0 and the sum of x and 1/a is 0, what does x equal?
    9·1 answer
  • What is the solutions to<br> (2x-1)(3x+4)=0?
    7·2 answers
  • during the first play of a football game, you lose 3 yards. you gain 7 yards during the second play. what is your total gain of
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!