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vlabodo [156]
3 years ago
9

Math please show all work

Mathematics
2 answers:
kompoz [17]3 years ago
6 0

Answer:

x≥-4

Step-by-step explanation:

Lets write out the equation so its easier to work with.

-(x-4)≤8

Now lets distribute the negative 1 on the side with the x

-x+4≤8

Subtract 4

-x+4-4≤8-4

Do the subtraction

-x≤4

divide by negative 1, this flips the inequality

-x/-1≥4/-1

since the side with the x is double negative the fraction becomes positive

x/1≥4/-1

Any number of 1 is that number and numbers over -1 is that number but negative

x≥-4

Natali5045456 [20]3 years ago
4 0

-(x-4) \leq 8

Multiply both sides by -1. When multiplying/dividing an inequality by a negative number, remember to reverse the inequality symbol.

x-4 \geq -8

Add both sides by 4 to cancel the -4 on the left side.

x\geq -4

That's your solution.

Have a magical day! (ノ◕ヮ◕)ノ*:・゚✧

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Answer:

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Step-by-step explanation:

The general rule for the quadratic function is

y=ax^2+bx+c

Use the data from the table:

y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c

We get the system of three equations:

\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.

Subtract these equations:

\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.

From the first equation

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So,

2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25

The quadratic function is

y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25

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