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xeze
21 day ago
15

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Mathematics
2 answers:
Leona [9.2K]21 day ago
4 0

Answer:

A number line ranging from -1.5 to 1.5 in 0.5 increments, with a point at 0.5, and a bold line extending leftwards starting from -0.5.

Step-by-step explanation:

Required:

2x - 6 \geq 6(x - 2) + 8

Required:

Define the number line

2x - 6 \geq 6(x - 2) + 8

Open the bracket

2x - 6 \geq 6*x - 6*2 + 8

2x - 6 \geq 6x - 12 + 8

2x - 6 \geq 6x - 4

Collect Like Terms

2x - 6x \geq 6 - 4

- 4x \geq 2

\frac{- 4x}{-4} \geq \frac{2}{-4}

x \leq -0.5

The correct answer is option C from the provided choices.

babunello [8.4K]21 day ago
3 0
X <.5

That is indeed the answer.

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Find the rate of change for the situation. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people. 36 p
babunello [8412]

Response:

C. Each person receives 1/4 lb of chicken

Step-by-step analysis:

Determine the rate of chicken per person.

A chef prepares 9 lbs of chicken for 36 individuals and 17 lbs for 68 individuals.

A. 9/17 lb per individual

B. 4 lb per individual

C. 1/4 lb per individual

D. 36 individuals

Calculation:

9 lbs for 36 individuals

Chicken per individual = Total chicken / Total number of individuals

= 9 lbs / 36 individuals

Chicken per individual = 1/4 lb of chicken

17 lbs for 68 individuals

Chicken per individual = Total chicken / Total number of individuals

= 17 lbs / 68 individuals

= 1/4 lb each

Consequently, the rate of chicken per individual = 1/4 lb of chicken.

6 0
16 days ago
Which example illustrates the associative property of addition for polynomials? [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = (2x2 + 5x) + [
zzz [9080]

Solution:

[(2x² + 5x) + (4x² – 4x)] + 5x³ =

(2x² + 5x) + [(4x² – 4x) + 5x³]

Step-by-step breakdown:

4 0
1 day ago
Read 2 more answers
The University of Central Florida's cheerleading team has eighteen males and twenty-one females. If h represents the height of a
Leona [9271]

Answer:

The range of cheerleaders' heights lies within the interval [58, 74)

It includes all real numbers from 58 inches and above, but below 74 inches.

Step-by-step explanation:

we have

260 \leq 4h+28

Separate the combined inequality into two distinct inequalities

260 \leq 4h+28 -----> inequality A

4h+28 -----> inequality B

Solve inequality A

260 \leq 4h+28

Subtract 28 from both sides

232 \leq 4h

Split by 4 on both sides

58 \leq h

Reformulate

h \geq 58\ in

Address inequality B

4h+28

Subtract 28 from both sides

4h

Split by 4 on both sides

h

consequently

The height range of the cheerleaders is the interval [58, 74)

It consists of every real number starting from 58 inches and less than 74 inches

3 0
29 days ago
A frog is sitting exactly in the middle of a board that is five feet long. Every ten seconds he jumps one foot to the left or on
PIT_PIT [9117]

Answer:

Given that the frog jumps every 10 seconds

   (using digits from a random number table)

  • It requires 7 jumps with 2 in the reverse direction (either left or right) for the frog to get off the board in 60 seconds.
  • Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
  • Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.

Step-by-step explanation:

A frog positioned right at the center of a 5ft long board is 2.5 ft away from either edge.

Every 10 seconds, the frog jumps left or right.

If the frog's jumps are LLRLRL, it will remain on the board at the leftmost square.

If it jumps as LLRLL, it will jump off the board after fifty seconds.

Given that the frog jumps every 10 seconds

   (using digits from a random number table)

  • It requires 7 jumps with 2 in reverse direction (either left or right) for the frog to get off the board in 60 seconds.
  • Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
  • Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.
4 0
1 month ago
What is a34 of the sequence 9,6,3,
PIT_PIT [9117]

Step-by-step explanation:

What is a34 of the sequence 9,6,3,..

r=a2-a1

r=6-9

r=-3

a34=a1+33.r

a34=9+33.(-3)

a34= 9-99

a34= -90

hope this helps!

bye!

8 0
3 days ago
Read 2 more answers
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