2 years ago

I’m really struggling here :,D

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

6 0

Answer:

-2

Step-by-step explanation:

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What are the solutions to the following system?

RoseWind [281]

$\bf \begin{cases}
-2x^2+y=-5\\
\boxed{y}=-3x^2+5\\
----------\\
-2x^2+\left( \boxed{-3x^2+5} \right)=-5
\end{cases}
\\\\\\
-5x^2+5=-5\implies -5(x^2-1)=-5\implies x^2-1=\cfrac{-5}{-5}
\\\\\\
x^2-1=1\implies x^2=2\implies x=\pm\sqrt{2}$

and since we know what "x" is, then let's substitute it on say the 1st equation

$\bf -2x^2+y=-5\implies -2\left( \pm \sqrt{2} \right)^2+y=-5\implies -4+y=-5
\\\\\\
y=-1\\\\
-------------------------------\\\\
\left( \sqrt{2}~,~-1 \right)\qquad \left( -\sqrt{2}~,~-1 \right)$

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3 years ago

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Zeke needs to save a minimum of $16,500 to buy a truck. He has already saved $7,250. He plans to continue to save $350 each mont

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Answer:

$16,500 ≤ $350m + $7,250

m = month

m ≥ 37

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3 years ago

In recent times, with mortgage rates at low levels, financial institutions have had to provide more customer convenience. One of

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Step-by-step explanation:

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2 years ago

A tissue box in the shape of a rectangular prism has a surface area of 158 square inches . The width is 5 inches and the height

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Answer:

A. 8.0 inches

you will have to use the formula A= 2(LW + LH + WL)

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2 years ago

Kristin bought eight boxes.A week later half of all her boxes were destroyed in a fire.There are now only 17 boxes left.With how

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Answer:

She started with 26 boxes.

Step-by-step explanation:

She started with x boxes. Then she bought 8 more boxes. Now she had x + 8 boxes. Then half the boxes were destroyed, so she has the other half of the boxes. Half of the boxes is (x + 8)/2. She has now 17 boxes, so (x + 8)/2 = 17.

(x + 8)/2 = 17

Multiply both sides by 2.

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She started with 26 boxes.

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2 years ago