3 years ago

Solve each inequality using the Addition Property of Inequality.

Mathematics

1 answer:

Law Incorporation [45]3 years ago

4 0

Answer:

y ≥ 28

Step-by-step explanation:

Isolate the variable. Treat the inequality sign as a equal sign, what you do to one side, you do to the other. Add 6 to both sides:

y - 6 (+6) ≥ 22 (+6)

y ≥ 22 + 6

y ≥ 28

y ≥ 28 is your answer.

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Solve the following:<br> a. 4x^2 + 5x + 3 = 2x^2 − 3x<br> b. c^2 − 14 = 5c

Jet001 [13]

Answer:

(a) x = -0.418 , -3.581

(B) c = 6.855, -1.855

Step-by-step explanation:

(A) We have given equation $4x^2+5x+3=2x^2-3x$

$2x^2+8x+3=0$

On comparing with standard quadratic equation $ax^2+bx+c$

a = 2, b = 8 and c = 3

So roots of the equation will be $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-8\pm \sqrt{8^2-4\times 2\times 3}}{2\times 2}=\frac{-8\pm 6.324}{4}=-0.418,-3.581$

(b) $c^2-14=5c$

$c^2-5c-14=0$

a = 1, b = -5 and c= -14

So $c=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-(-5)\pm \sqrt{(-5)^2-4\times 1\times (-14)}}{2\times 1}=\frac{5\pm 8.71}{2}=6.855,-1.855$

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3 years ago

Cara is 5'6" tall and her husband Jack is<br> 6'2" tall. Find the difference in their heights.

defon

Answer:

Step-by-step explanation:

6'2" - 5'6" = 0'6"

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One angle of an isosceles triangle measures 80°. Which other angles could be in that isosceles triangle?

ohaa [14]

Answer:

80 and 40 are the other angles

Step-by-step explanation:

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Plugin y=-5 into either equation and solve for x<br> -6x-8y=-20 or x+y=5

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Step-by-step explanation:

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Ellie borrows money at a year simple rate of 6 1/2% after 4 years ellie owes 39 interest

kupik [55]

Answer: Ellie borrowed $150.

Step-by-step explanation:

I = PRT

39 = P x 0.065 x 4

39 = P x 0.26

Divide both sides by 0.26

150 = P

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