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3 years ago

Evaluate the function for x = –3. f(x) = 4x – 5

Mathematics

1 answer:

lbvjy [14]3 years ago

3 0

If it makes it any easier, think of f(x) as y.
f(x)= 4(-3) -5
f(x) = -12 -5
f(x) = -17

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If y=4 when x=12, find y when x=-24

goldfiish [28.3K]

The value of y is -8 if the x -24 and y varies directly with x, and If y = 4 when x = 12.

<h3>What is a proportional relationship?</h3>

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

The question is incomplete.

The complete question is:

If y varies directly with x, and If y = 4 when x = 12, how do you find y when x = -24?

y ∝ x (given)

y = kx

k is the constant of proportionality.

4 = 12k (y = 4, and x = 12)

k = 1/3

y = x/3

Plug x = -24

y = -24/3

y = -8

Thus, the value of y is -8 if the x -24 and y varies directly with x, and If y = 4 when x = 12.

Learn more about the proportional here:

brainly.com/question/14263719

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2 years ago

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Step-by-step explanation:

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3 years ago

The Pythagorean theorem

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Answer:

The Pythagorean theorem is used any time we have a right triangle, we know the length of two sides, and we want to find the third side.

Step-by-step explanation:

The Pythagorean theorem states A squared + B squared = C squared.

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3 years ago

Write the point-slope form, then use that to write the slope-intercept form of the equation

Mashcka [7]

For a line with slope m that passes through a point $(x_1, y_1)$ , the point-slope form equation is the following.

$y-y_1=m(x-x_1)$

We have a given slope of 4 and a given point of (7,5). Now, plug in the values.

$\boxed{y-5=4(x-7)}$

That is the point-slope form of the line. Now, let's change this into slope-intercept form. Slope-intercept form looks like the following:

$y=mx+b$

Where m is the slope and b is the y-intercept. Let's do some algebra on our point-slop form equation to change it into slope-intercept form.

$y-5=4(x-7)$

This was our equation. Let's use the distributive property on 4(x-7).

$y-5=4x-28$

Now, add 5 to both sides of the equation

$\boxed{y=4x-23}$

This the slope-intercept form of the line. Thus, we have solved for both the point-slope form and the slope-intercept form. Hope this helps! :)

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3 years ago