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3 years ago

Write an equation of the line that passes through the given point and has the given slope.

Mathematics

1 answer:

Molodets [167]3 years ago

4 0

Answer:

y=-x-4

Step-by-step explanation:

You can write the equations in point-slope form first.

1) y+3=-(x+1)

2) Then you can convert it into slope intercept form

3) y=-x-1-3

4) y=-x-4

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What is the range of the function y = x 2?

Leno4ka [110]

Answer:

$\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

The graph is also attached below.

Step-by-step explanation:

Given the function

$y=x^2$

We know that the range of a function is the set of values of the dependent variable for which a function is defined.

$\mathrm{For\:a\:parabola}\:ax^2+bx+c\:\mathrm{with\:Vertex}\:\left(x_v,\:y_v\right)$

$\mathrm{If}\:a$

$\mathrm{If}\:a>0\:\mathrm{the\:range\:is}\:f\left(x\right)\ge \:y_v$

$a=1,\:\mathrm{Vertex}\:\left(x_v,\:y_v\right)=\left(0,\:0\right)$

$f\left(x\right)\ge \:0$

Thus,

$\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

The graph is also attached below.

5 0

3 years ago

A quadratic function has its vertex at the point (- 3, 8) . The function passes through the point (0, 0) . When written in verte

SIZIF [17.4K]

Answer:

f(x) = -8/3(x+3)+8

a = -8/3

b = technically equals -3 but when we plug it in it gets turned into 3 *double negative

k = 8

Step-by-step explanation:

Vertex: (h,k)

Use the points (0,0) and (-3,8) to find the slope

y2-y1/x2- x1

6 0

3 years ago

Evaluate 8.1p + 7.9r when p=7 and r=8

Ivenika [448]

Answer:

119.9

Step-by-step explanation:

(8.1)(7)+(7.9)(8)

=119.9

8 0

2 years ago

How do I do this I need help right now

kodGreya [7K]

To answer this (specifically the first one) you have to count how many spaces each point moves. (How many spaces up/down does it go? Left/right?) then you put rise (up/down) over run (left/right) and you should get the slope!

6 0

3 years ago

If side AB is parallel to side DC, how are side A'B' and side D'C' related? Explain.

anastassius [24]

Side A’B’ and D’C’ are related because they are both parallel which I think means that they would be the same length

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3 years ago