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3 years ago

What is f(7) if f(x)=-3x+6?

Mathematics

2 answers:

mario62 [17]3 years ago

7 0

-15 I hope this helps

Elina [12.6K]3 years ago

4 0

f(x) = -3x + 6

f(7) = -3(7) + 6

f(7) = -21 + 6

f(7) = -15

f(7) = -15

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3 years ago

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The point slope form of the equation of the line that passes through (-5-1) and (10.-7) is

Natalka [10]

Answer:

The standard form of the equation for this line can be:

l: 2x + 5y = -15.

Step-by-step explanation:

Start by finding the slope of this line.

For a line that goes through the two points $(x_0, y_0)$ and $(x_1, y_1)$ ,

$\displaystyle \text{Slope} = \frac{y_{1} - y_{0}}{x_{1} - x_{0}}$ .

For this line,

$\displaystyle \text{Slope} = \frac{(-1) - (-7)}{(-5) - 10} = -\frac{2}{5}$ .

Find the slope-point form of this line's equation using

$\displaystyle \text{Slope} = -\frac{2}{5}$ , and
The point $(-5, -1)$ (using the point $(10, -7)$ should also work.)

The slope-point form of the equation of a line

with slope $m$ and
point $(x_{0}, y_{0})$

should be $l:\; y - y_{0} = m(x - x_0)$ .

For this line,

$\displaystyle m = -\frac{2}{5}$ , and
$x_0 = -5$ , and
$y_0 = -1$ .

The equation in slope-point form will be

$\displaystyle l:\; y - (-1) = -\frac{2}{5}(x - (-5))$ .

The standard form of the equation of a line in a cartesian plane is

$l: \; ax + by = c$

where

$a$ , $b$ , and $c$ are integers. $a \ge 0$ .

Multiply both sides of the slope-point form equation of this line by $5$ :

$l:\; 5 y + 5 = -2x -10$ .

Add $(2x-5)$ to both sides of the equation:

$l: \; 2x + 5y = -15$ .

Therefore, the equation of this line in standard form is $l: \; 2x + 5y = -15$ .

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3 years ago

A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he

Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

$h(t) = -16t^2 + 30t$

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

$h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}$

$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

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3 years ago

!!! find the indicated side of the triangle PLZ HELP

taurus [48]

Answer:

a=17√2

Step-by-step explanation:

Hi there!

We are given a right triangle with the measure of one angle being 45°, and one of the sides being measured 17

we need to find a

first, let's find the measure of the other angle

because it's a right triangle, the sum of the acute angles are complementary, meaning they add up to 90°

let's make the unknown degree of the other angle x

so that means to find x:

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subtract 45 from both sides

x=45°

that means the measure of the other angle is 45°

You may notice since we have two angles with the same measure, that means this triangle is isosceles.

That means the other leg (the other side that isn't marked) is also 17

of course, you could solve for a using Pythagorean theorem, but there's actually a shortcut:

in 45°-45°-90°Δ, the legs are a specific value, and the hypotenuse (the side opposite from the 90° is the value of the legs*√2 (for example, if the legs are 3, then the hypotenuse is 3√2). To remember the rule, if the legs have a measure of s, the hypotenuse has a measure of s√2

therefore the measure of a is 17√2

Hope this helps!

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3 years ago

Two points in a transformation are J'(-3, 8) and J(0, 4). Which of the following translations was used?

FinnZ [79.3K]

Coordinate of real point = J(0, 4)
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So, Factor: x = -3-0 = -3
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So, Your Final Answer would be: Option C) (x-3, y+4)

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4 years ago

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