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3 years ago

Which inequality is equivalent to 7x-2y> 8.

1 answer:

6 0

$7x-2y> 8 \ \ -7x \\ \\7x -7x-2y> 8 -7x \\ \\ -2y >8-7x \ \ / : (-2)\\ \\\frac{-2}{-2}\cdot y < \frac{8}{(-2)}-\frac{7}{(-2)}x \\ \\ y < \frac{7}{ 2}x -4 \\ \\ \\ Answer : \ c) \ y < \frac{7}{2}x-4$

$If \ we \ multiply \ or \ divide \ both \ sides \ of \ an \ inequality \ by \ a \ negative \\ \\number \ we \ have \ to \ switch \ the \ direction \ of \ the \ inequality$

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What is the value of the expression x^2y–y+xy^2–x for x=4 and y=0.25?

stepan [7]

Answer:

0 (zero)

Step-by-step explanation:

${x}^{2} y - y + x {y}^{2} - x \\ = {4}^{2} \times 0.25 - 0.25 + 4 \times {0.25}^{2} - 4 \\ = 16 \times 0.25 - 0.25 + 4 \times 0.0625- 4 \\ = 4 - 0.25 + 0.25 - 4 \\ = 0 \\ \\ \purple {\boxed{ \bold{ \therefore \: {x}^{2} y - y + x {y}^{2} - x = 0}}}$

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3 years ago

Adam dropped a rubber ball from a window 40 ft above the sidewalk the ball always bounces half of the height that it drops how f

sergij07 [2.7K]

Answer:

The ball will reach a height of 5 ft by the 4th time.

Step-by-step explanation:

The initial height of the ball is 40 ft, when it bounces from the floor once the height will be 20 ft, the second time it'll be 10 ft, and so on. The sequence that can represent the maximum height of the ball after each bounce is:

{40, 20, 10,...}

This kind of sequence is called a geometric progression, in this kind of progression the next number is related to the one before it by the product of a constant called ratio, in this case 1/2. To calculate a specific position in this sequence we only need the ratio and the first number, using the formula below:

a_n = a*r^(n-1)

Where n is the position we want to know, a is the first number and r is the ratio. In this case we have:

a_4 = 40*(1/2)^(4-1) = 40*(1/2)^3 = 40/8 = 5

The ball will reach a height of 5 ft by the 4th time.

6 0

3 years ago

3+7=6-|-x|<br>Solve for x. <br>Thanks :)<br>

KIM [24]

$3+7=6-|-x|\\10=6-|x|\\|x|=-4\\x\in\emptyset$

4 0

1 year ago

Read 2 more answers

Michael and Themba are travelling from Cape town to Johannesburg by car.They travel 30km in 18 minutes and they continue at this

Wewaii [24]

Answer:

180km

Step-by-step explanation:

1hour48mins =108mins

108÷18=6

6×30=180km

8 0

2 years ago

A rectangular prism has a width of 4 inches, a height of 6 inches, and a total volume of 192 cubic inches. What is the length of

Ede4ka [16]

Answer:

8 inches

Step-by-step explanation:

V= LWH

H= V / (W x H)

H= 192 divided by (4 x 6)

H= 192 divided by 24 = 8

thus the length is 8 inches

8 0

2 years ago