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3 years ago

An equation that represents a line that passes through points (-3,2) and (2,1)

Mathematics

1 answer:

rjkz [21]3 years ago

6 0

Answer:

Y= - 0.2x + 1.4

Step-by-step explanation:

See above

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Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the

kvasek [131]

The axis of symmetry of a quadratic function $f(x)=ax^2+bx+c$ is given by the equation $x=h$ , where h is the x-coordinate of the vertex and is equal to $\frac{-b}{2a}$ .

1.
$f(x)=4x^2-1 \\
a=4 \\ b=0 \\ \Downarrow \\
h=\frac{-0}{2 \times 4}=0 \\ \\
\hbox{the axis of symmetry:} \\
x=0$

2.
$g(x)=x^2-8x+5 \\
a=1 \\ b=-8 \\ \Downarrow \\ h=\frac{-(-8)}{2 \times 1}=\frac{8}{2}=4 \\ \\
\hbox{the axis of symmetry:} \\
x=4$

3.
$h(x)=-3x^2-12x+1 \\
a=-3 \\ b=-12 \\ \Downarrow \\ h=\frac{-(-12)}{2 \times (-3)}=\frac{12}{-6}=-2 \\ \\
\hbox{the axis of symmetry: \\
x=-2$

The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).

7 0

3 years ago

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w=16, where l re

cricket20 [7]

2l + 2w = 16
2(l+ w) = 16 Divide both sides by 2
l + w = 16/2

l + w = 8

So for example the length l could be 5 and the width could be 3.
Length could be 5.

8 0

3 years ago

Read 2 more answers

I need help now!<br> I don’t get it

Mademuasel [1]

The picture is off point so I can’t read the entire paper!! Sorry and GOOD LUCK

8 0

3 years ago

What is the area of this square with side of 5x4y2

Ulleksa [173]

Answer:

I am not sure how about you figure it out maybe study

8 0

3 years ago

A room can just store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases o

Vladimir79 [104]

Answer:

2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

Step-by-step explanation:

Let the case of soya beans drink be x and let the case of fruit juice be y

We are told that the room can store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice.

This means that;

10x + 8y = 4x + 11y

Rearranging, we have;

10x - 4x = 11y - 8y

6x = 3y

Thus;

y = 6x/3

y = 2x

This means that 2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

8 0

3 years ago