MATHEMATICS HIGH SCHOOL

Which values are in the solution set of the inequality −2/3x + 13 ≥ −1 ?Select all that apply.

A. 19

B. 20

C. 21

D.22

E. 23

Answers

Answer 1
Answer:

Final answer:

To solve the inequality, subtract 13 from both sides and divide by -2/3 to isolate x.

The solution set consists of x values less than or equal to 21.

The values that apply are 19, 20, and 21.

Explanation:

To solve the inequality, we need to isolate x.

First, subtract 13 from both sides of the inequality: -2/3x ≥ -14.

Next, divide both sides of the inequality by -2/3.

Remember that when dividing by a negative, the inequality sign flips: x ≤ -14 ÷ (-2/3).

The negative sign in front of the fraction can be moved to the numerator to simplify the division: x ≤ (-14) × (3/(-2)). Multiply the numbers: x ≤ 21.

Therefore, the solution set of the inequality is x values less than or equal to 21.

The values in the solution set are 19, 20, and 21.

So, the correct options are A, B, and C.

Learn more about Inequality here:

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Answers

Answer:

19/15

Step-by-step explanation:
19/15 is the answer

The table shows three unique functions. Which statements comparing the functions are true? Select three options. A. Only f(x) and h(x) have y-intercepts. B. Only f(x) and h(x) have x-intercepts. C. The minimum of h(x) is less than the other minimums. D. The range of h(x) has more values than the other ranges. E. The maximum of g(x) is greater than the other maximums.

Answers

Answer:

CDE

Step-by-step explanation:

A)  Only h(x) has a y intercept which is at x=0. At this point the y intercept is 0.

B) Only f(x) have a x intercept at f(x) = 0. The graph of f(x) touches the x axis at f(x) = 0.

C) h(x) has the lowest minimum, its minimum is at -28 while f(x) have a minimum at -14 and g(x) have a minimum at 1/49

D) The range of h(x) has more values than the other ranges ranging from -28 to -28.

E) g(x) has the highest maximum, its maximum is at 49 while f(x) have a maximum at 14 and h(x) have a maximum at 0

Answer:

A B E I think, it's not C D E

Step-by-step explanation:

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Find the common difference of the sequence shown.1/2,1/4 , 0, ...
a.-1/8
b.-1/4
c.-1/2

Answers

1/2 , 1/4, 0

Find the common difference:

Rules in subtracting fraction
1) make sure the each fraction has a common denominator
2) if they have different denominators, find each least common multiple.
3) multiply the  fraction by the lcm. apply the lcm to both numerator and denominator

1/4 - 1/2 
1/4 - (1/2 * 2/2)
1/4 - 2/4  = 1-2/4 = -1/4

0 - 1/4 = -1/4

The common difference is B. -1/4
(1)/(2) -(1)/(4) =(2)/(4) -(1)/(4) =(1)/(4)\n\n(1)/(4) -0 =(1)/(4)

The common difference of the sequence is b. -1/4.

Which of the following is the equation of a line parallel to the line y=-x+1 passing through the point (4,1)a. x+y=5
b. x-y=-5
c. x+y=-5
d. -x-y=5

Answers

y=-x+b

plug in x = 4 and y = 1  to find b

1 = -4 + b   and we know that if you add 5 and -4 you get 1. So ...

5 = b so if we plug that in

y= -x + 5

which is the same as y + x = 5,  So it would be A

Which of the following expressions is equivalent to 3?7 + (-4)
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7 - (-4)
-7 - (-4)

Answers

-7 - (-4)   

is your answer. hope I helped

Answer:

first one

Step-by-step explanation: 7 + (-4) = 3

hope this helps.

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Answers

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