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3 years ago

Our of the 800 participants in a marathon, 120 are running to raise money for a cause. How

Mathematics

1 answer:

LenaWriter [7]3 years ago

3 0

Answer:

Step-by-step explanation:

$\frac{120}{800}$ = $\frac{x}{100}$

Cross multiply 120*100 = 800x

12000= 800x

15 = x

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What is an equation of the line that passes through the points (6,1) and (7, 2)?

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2 years ago

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a rectangle has a side length 2x+9 and side width x. If the perimeter is 36 cm, what is the value of x?

alukav5142 [94]

2(2x + 9) + 2(x) = 36

4x + 18 + 2x = 36

Combine like terms.

6x + 18 = 36

Subtract 18 from both sides.

6x = 18

Divide 6 on both sides.

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3 years ago

-4x -y+4 x=-1/4 y=3 evaluate the expression

Romashka [77]

Answer:

Step-by-step explanation:

-4x -y + 4

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3 years ago

If y= 3x + 6, what is the minimum value of (x^3)(y)?

Rainbow [258]

Answer:

Given the statement: if y =3x+6.

Find the minimum value of $(x^3)(y)$

Let f(x) = $(x^3)(y)$

Substitute the value of y ;

$f(x)=(x^3)(3x+6)$

Distribute the terms;

$f(x)= 3x^4 + 6x^3$

The derivative value of f(x) with respect to x.

$\frac{df}{dx} =\frac{d}{dx}(3x^4+6x^3)$

Using $\frac{d}{dx}(x^n) = nx^{n-1}$

we have;

$\frac{df}{dx} =(12x^3+18x^2)$

Set $\frac{df}{dx} = 0$

then;

$(12x^3+18x^2) =0$

$6x^2(2x + 3) = 0$

By zero product property;

$6x^2=0$ and 2x + 3 = 0

⇒ x=0 and x = $-\frac{3}{2} = -1.5$

then;

at x = 0

f(0) = 0

and

x = -1.5

$f(-1.5) = 3(-1.5)^4 + 6(-1.5)^3 = 15.1875-20.25 = -5.0625$

Hence the minimum value of $(x^3)(y)$ is, -5.0625

3 0

3 years ago

What is the slope of the line that passes through the pair of points (2,12 and (6,11?

Sedaia [141]

slope = difference in y / difference in x

slope = 12 -11 / 2 -6

slope = 1 / -4

slope = -1 / 4 or

-.25

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4 years ago