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3 years ago

Which of the following points lie in the solution set to the following system of inequalities?

Mathematics

2 answers:

Mamont248 [21]3 years ago

7 0

Answer: Second option : (5, −2)

Step-by-step explanation: Given system of inequalities

y ≤ x − 5

y ≥ −x − 4

Plugging x=5 and y=-2 in first inequality

-2 ≤ 5 − 5

-2 ≤ 0 : True.

Plugging x=5 and y=-2 in second inequality

-2 ≥ −5 − 4

-2 ≥ -9 : Also true.

Point (5, −2) satisfied both of the given inequalities in the system.

Therefore, (5,-2) is correct option.

Maslowich3 years ago

3 0

The answer is (5,-2) because when you plug it into the first problem you would get 0 which is greater than or equal to -2 and for the second you would get -9 which is less than or equal to -2

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Ryo accidentally ordered 240% as many eggs as his restaurant needed. What fraction of the number of eggs his restaurant needs di

Anarel [89]

Answer:

Ryo ordered $\frac{12}{5}$ of the amount of eggs his restaurant needed

Step-by-step explanation:

Let's call z the number of eggs the restaurant needs

Ryo ordered 240% of the eggs he needed. Then Ryo ordered:

$\frac{240}{100}$ z.

This fraction can be simplified by dividing by 10 in the numerator and denominator.

Then it is:

$\frac{24}{10}$

It can be further simplified by dividing by 2 in the numerator and denominator:

$\frac{12}{5}$ z

Ryo ordered $\frac{12}{5}$ of the amount of eggs his restaurant needed

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Answer:

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3 years ago

35/8 + 10/3 = simplest form

Nimfa-mama [501]

Answer:

185/24

Step-by-step explanation:

Convert both to fractions with the same denominator first.

35/8= 105/24

10/3= 80/24

105/24+80/24

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6 0

2 years ago

Read 2 more answers

What is the vertex of Y equals X to the second power -4x-5

Fed [463]

Answer:

vertex = (2, - 9 )

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

x² - 4x - 5 ← is in standard form

with a = 1, b = - 4, thus

$x_{vertex}$ = - $\frac{-4}{2}$ = 2

Substitute this value into the quadratic for corresponding value of y

(2)² - 4(2) - 5 = 4 - 8 - 5 = - 9

vertex = (2, - 9 )

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3 years ago

A stone is a British unit of weight equivalent to 14 pounds. After losing 1 1/2 stone. Jim is now 85% of his original weight. Wh

evablogger [386]

Answer:

Jim's current weight = 119 pounds

Step-by-step explanation:

1 Stone = 14 pounds

$1\frac{1}{2}$ stone = 1.5 stone

1.5 stone = 1.5 (14 pounds) = 21 pounds

Jim lost 21 pounds

Let X be Jim's Original Weight

Y be his present weight

As per given statement in the Question:

After losing 1.5 stones (21 pounds of weight) Jim now weighs Y

Present weight = original weight - 21

Y = X -21 Equation 1

Also Current Weight = 85 % (Original weight)

Y = 85 % (X) = $\frac{85X}{100}$

Y= $\frac{85X}{100}$

put in Equation 1

$\frac{85X}{100}$ = X-21

85X = (X-21) 100

85 X = 100 X -2100

2100 = 100 X - 85X

2100 = 15X

15 X = 2100

$X=\frac{2100}{15}$

X= 140 pounds ( Original Weight)

Current Weight = Y = Original weight - 21 (From Equation 1)

Y = X -21

Y = 140 -21

Y = 119 pounds (Current Weight)

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3 years ago