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4 years ago

Suppose y varies directly as x and y=21 when x 3 find x when y=42

Mathematics

1 answer:

irga5000 [103]4 years ago

7 0

35
y=kx, where k is a constant
substitute in y=21 and x=3, you will get k=7
y=7(5)
y= 35

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Add the fractions simplify your answer 2 7/8 + 2 3/8

Mashutka [201]

Answer:

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3 years ago

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What is the equation of the line passing through the points (4, -7.5) and (6, -3.5) in slope-intercept form?

Ratling [72]

Answer:

Your answer will be

y=2x-15.5

Step-by-step explanation:

Hi, there you must know the slope-intercept form which is

y=mx+b

m=slope

b=y-intercept

You can also use

the slope formula which is

$\frac{y_2-y_1}{x_2-x_1}$

in this case

it will look like this

$\frac{-7.5-(-3.5)}{6-4}$ = $\frac{-4}{2}$ =-2

So the slope is -2

Now we will find the y-intercept

-7.5=2(4)+b

-7.5=8+b Subtract 8 both sides

-15.5=b

Your y-intercept is -15.5

Hope this helps

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3 years ago

A triangle has verticles of a(6,-2) b(4,-4) c(1,0)

AfilCa [17]

Answer

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Step-by-step explanation:

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3 years ago

What is the volume of a cylinder with a base of 24 meters and a height of 6 meters

serg [7]

Answer:

Volume = 2714.34

Step-by-step explanation:

This is answer because the formula to finding cylinder volume is: $\pi$ $r^{2}$ h

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2 years ago

The curve with equation y = f ( x ) is stretched so that the point (-3,-5) moves to the point (-3,-10). State in terms of f ( x

Leviafan [203]

Answer:

The transformed function is $g(x) = 2\cdot f(x)$ , $\forall\,x \in \mathbb{R}$ .

Step-by-step explanation:

Let be $f(x)$ and $g(x)$ continuous functions in x. In this case, the stretch factor consist on multiplying $f(x)$ by a scalar factor, so that:

$g(x) = k \cdot f(x)$ , $\forall\, k\in \mathbb{R}, k \neq 0$

The stretch factor is:

$k = \frac{g(x)}{f(x)}$ , $\forall\, x \in \mathbb{R}$

If $f(-3) = -5$ and $g(-3) = -10$ , then:

$k = \frac{g(-3)}{f(-3)}$

$k = \frac{-10}{-5}$

$k = 2$

The transformed function is $g(x) = 2\cdot f(x)$ , $\forall\,x \in \mathbb{R}$ .

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4 years ago