MATHEMATICS COLLEGE

1. 2x-y≤-6
2. 5x+4y ≥20

Answers

Answer 1

Answer:

Answer

2x-y <or =-6

2x<or=-6+y

divide both sides by 2

x<or=1/2y+3

5(1/2y+3)+4y>or=20

5/2y+15+4y>or=20

5/2y+4y>or=20-15

13/2y>or=5

divide both sides by 2/13

y>or=10/13

2x-10/13<or=-6

2x<or=-6+10/13

2x<or=-68/13

divide both sides by 2

x< or =-34/13

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Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each4 ft. high. The top, bottom, and two shelves are all the same length, labeled S. How long is each shelf?

Answers

Answer: Each shelf is 2ft

Step-by-step explanation:

16 = (2 x 4) + 4s

16 = 8 + 4s

8 = 4s (subtract 8 from both sides)

8/4 = 4s/4 (divide both sides by 4)

2 = s

What is the next term of the arithmetic sequence 24, 16, 8, 0,

Answers

The arithmetic sequence is a concept of algebra and in given sequence 24, 16, 8, 0 the next term is, -8

What is an arithmetic sequence?

In the arithmetic sequence the common difference remains constant between any two consecutive terms. In this sequence we can get the next term by adding one fixed value which is known as a common difference. It is also known as arithmetic progression(AP).

Formula for any $n^(th)$ term in AP,

T = a + (n-1)d

d = T₂-T₁

Where, a is first term , n is $n^(th)$ term and d is common difference

Given sequence,

24, 16, 8, 0

a = 24

n = 5

d = 16-24 = -8

T₅ = 24 +( (5-1)×(-8))

T₅ = -8

Hence, $5^(th)$ term of sequence is -8

To know more about arithmetic sequence check:

brainly.com/question/18109692

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Answer:

-8

Step-by-step explanation:

The term-to-term rule is -8.

16 - 24= -8

8 - 16 = -8

0 - 8 = -8

Which of the following inequalities matches the graph? 100 point

Answers

Question:

Which of the following inequalities matches the graph?

Answer:

Looking at the graph the y values does not change, it stays at zero

The shaded area are the numbers under O

This means the answer is y ≤ 0

The answer is y ≤ 0

Hope it helps

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You drop a rock off a bridge. The rock’s height, h (in feet above the water), after t seconds is modeled by h = -16t^2 + 541. What is the height of the rock after 2 seconds?

Answers

For this case we have the following equation:
$h = -16t ^ 2 + 541$
To answer the question, what we must do is evaluate the function for t = 2.
We have then:
$h = -16 (2) ^ 2 + 541$
Rewriting we have:
$h = -16 (4) + 541h = -64 + 541h = 477 feet$
Answer:
The height of the rock after 2 seconds is:
$h = 477 feet$

Pls help 5[9+3(3.2-3)]

Answers

Answer:

Step-by-step explanation:

3.2 - 3 = .2

3(.2) = .6

9 + .6 = 9.6

5 * 9.6 = 48

This is the working for the answer that is 48

5 ( 9 + 3 ( 3 - 3.2 ) )
5 ( 9 + 3 * 0.2 )
5 ( 9 + 0.6 )

5 * 9.6 = 48

Which relationship matches the graph A- {(2,5), (3,3),(1,0),(2,1),(8,8)}

B - {(2,5),(3,3),(0,1),(2,1),(8,8)}

C- {(5,2),(3,3),(0,1),(2,1),(8,8)}

D - {(5,2),(3,3),(1,0),(2,1),(8,8)}