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Mathematics

1 answer:

Mandarinka [93]3 years ago

5 0

Answer:

The original cost=$220

Step-by-step explanation:

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A relay race is 1/10 kilometer long. Four athletes will run an equal distance to complete the relay. How far does each athlete r

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25 metres. Because 1/10th of a kilometre is a 100 metres. And four athletes divided by 100 metres is 25 metres.

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3 years ago

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What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?

crimeas [40]

Answer:

$\large\boxed{x=-2-\sqrt{\dfrac{11}{2}}\ \text{and}\ x=-2+\sqrt{\dfrac{11}{2}}}$

Step-by-step explanation:

$f(x)=2x^2+8x-3\\\\\text{You can use the quadratic formula:}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{We have}\ a=2,\ b=8,\ c=-3\\\\\text{Substitute:}\\\\b^2-4ac=8^2-4(2)(-3)=64+24=88\\\\\sqrt{b^2-4ac}=\sqrt{88}=\sqrt{4\cdot22}=\sqrt4\cdot\sqrt{22}=2\sqrt{22}\\\\x=\dfrac{-8\pm2\sqrt{22}}{2(2)}=\dfrac{-8}{4}\pm\dfrac{2\sqrt{22}}{4}=-2\pm\dfrac{\sqrt{22}}{2}=-2\pm\dfrac{\sqrt{22}}{\sqrt4}\\\\x=-2\pm\sqrt{\dfrac{22}{4}}=-2\pm\sqrt{\dfrac{11}{2}}$

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Question 15 of 23

stich3 [128]

Draw a graph of the compound inequality: x<5 x < 5 and x≥−1 x ≥ − 1 , and describe the set of x-values that will satisfy it with an interval. Show Solution.

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Which symbol will make the number sentence true? 39/52 ? 0.75<br><br> ><br> <<br> =

noname [10]

Answer:

$\frac{39}{52} = 0.75$

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3 years ago

A line has the equation -5x -14y +168 = 0

valkas [14]

Answer:

y = -5/14x + 12

Step-by-step explanation:

add 14y to both sides to isolate variables and divide everything by 14 to get 1y and boom

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