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2 years ago

Which of the following is a solution to this inequality?

Mathematics

1 answer:

Advocard [28]2 years ago

4 0

Answer:

(1, 4)

Step-by-step explanation:

It can work well to try the solutions to see which works:

(1, 4) -- 4 > 1/2·1 +2 . . . true
(-1, 1) -- 1 > 1/2(-1) +2 . . . false; 1 < 3/2
(2, 3) -- 3 > 1/2·2 +2 . . . false; a number is not greater than itself
(0, 2) -- 2 > 1/2·0 +2 . . . false; a number is not greater than itself

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Write the equation of a line that passes through (-4,15) and (-7,10) in point slope form

Ivanshal [37]

(-4,15),(-7,10)
slope = (10 - 15) / (-7 - (-4) = -5 / (-7 + 4) = -5 / -3 = 5/3

there can be 2 answers to this...depending on the point u use...
y - y1 = m(x - x1)
slope(m) = 5/3
using point (-4,15)...x1 = -4 and y1 = 15
now we sub
y - 15 = 5/3(x - (-4)..not done yet
y - 15 = 5/3(x + 4) <=== this is one answer

y - y1 = m(x - x1)
slope(m) = 5/3
using point (-7,10)....x1 = -7 and y1 = 10
now we sub
y - 10 = 5/3(x - (-7)...not done yet
y - 10 = 5/3(x + 7) <=== and here is the other answer

8 0

2 years ago

Three friends fill bags with trash at a neighborhood cleanup. Randall's bag weighs

BabaBlast [244]

Answer:

Randall picks up 68 pounds

Seth picks up 40 pounds

Joanna picks up 52 pounds

Step-by-step explanation:

Let us make an equation in x to find it

∵ Randall's bag weighs 3x - 7 pounds

∵ Joanna's bag weighs 2x + 2 pounds

∵ Seth's bag weighs 2x - 10 pounds

∵ Randall's and Joanna's bags weigh 3 times as much as Seth's bag

- That means add Randall's bag and Joanna's bag and equate

the sum by 3 times Seth's bag

∵ Randall's bag + Joanna's bag = 3(Seth's bag)

∴ (3x - 7) + (2x + 2) = 3(2x - 10)

- Simplify the two sides

∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)

∴ 5x + (-5) = 6x - 30

∴ 5x - 5 = 6x - 30

- Add 5 to both sides

∴ 5x = 6x - 25

- Subtract 6x from both sides

∴ -x = -25

- Divide both sides by -1

∴ x = 25

Substitute x by 25 in the weight of each bag

∵ Randall's bag weighs = 3(25) - 7 = 75 - 7

∴ Randall's bag weighs = 68 pounds

∵ Seth's bag weighs = 2(25) - 10 = 50 - 10

∴ Seth's bag weighs = 40 pounds

∵ Joanna's bag weighs = 2(25) + 2 = 50 + 2

∴ Joanna's bag weighs = 52 pounds

7 0

2 years ago

Read 2 more answers

140 fluid ounces increased by 45%

Radda [10]

$100\%\ increased\ by\ 45\%=100\%+45\%=145\%\\\\method\ \#1\\\\p\%=\frac{p}{100}\to145\%=\frac{145}{100}=\frac{145:5}{100:5}=\frac{29}{20}\\\\145\%\ of\ 140=\frac{29}{20}\cdot140=29\cdot7=\boxed{203\ (ounces)}\leftarrow answer$

$method\ \#2\\\\\begin{array}{ccc}140&-&100\%\\x&-&145\%\end{array}\ \ \ cross\ multiply\\\\\\100\cdot x=140\cdot145\ \ \ \ |divide\ both\ sides\ by\ 100\\\\x=\frac{140\cdot145}{100}\\\\\boxed{x=203\ (ounces)}$

4 0

2 years ago

What is the equation for the line of reflection A. X=6 B. Y=6 C. Y=x D. Y=2

PilotLPTM [1.2K]

Answer:

x = 6

Step-by-step explanation:

The line of reflection is x = 6.

5 0

2 years ago

What does this equal to (b^3)2

soldi70 [24.7K]

Answer:

2b^3

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers