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otez555 [7]
3 years ago
6

URGENT PLEASE HELP ME, ITS DUE IN A HOUR ​

Mathematics
2 answers:
Olegator [25]3 years ago
7 0

Answer:

Area of gray region = 8x^2+8x-7

Step-by-step explanation:

The area covered by the furniture can be subtracted from the total area of the room to calculate the area of the gray region.

<em>Total</em> area of the room: 13x^2+7x-2

Area taken up by furniture: 5x^2-x+5

Area of gray region = total area of the room - area taken up by furniture

Area of gray region = 13x^2+7x-2-(5x^2-x+5)

Remember to distribute the negative sign:

Area of gray region = 13x^2+7x-2-5x^2+x-5

Combine like terms:

Area of gray region = 8x^2+8x-7

Gemiola [76]3 years ago
5 0

Answer:

8x^2+6x+3

Step-by-step explanation:

 13x^2+7x-2

-  5x^2-   x+3

============

8x^2=6x=3

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Given the function f(x) = 4x + 1, EXPLAIN and show how to find the average rate of change between x = 1 and x = 3.
11Alexandr11 [23.1K]

The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

Therefore the slope, or the average rate of change, between these points is 2.

4 0
3 years ago
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Write the standard form of the equation: <br> y=5/2(x+2)
Aleonysh [2.5K]

Answer:

y=5/2 x

Step-by-step explanation:

The standard form of a linear equation is Ax +By=C

5 0
3 years ago
Draw the graph of y = x² – 4x + 3. Identify the intercepts (x and y), the vertex, and the axis of symmetry.
ss7ja [257]

Answer:

y-intercept : 3

x-intercepts are 1 and 2

Vertex is at (2,-1)

Axis of symmetry is at x = 2

Step-by-step explanation:

See attached graph.

The equation y = x² – 4x + 3 represents a parabola

y-intercept at is at B(0,3); y-intercept is 3

x-intercept points at C(1,0) and D(3,0) so x-intercepts are 1 and 3

The vertex is the lowest point on this parabola (2-1)

Axis of symmetry is a line passing through the vertex and dividing the parabola into two equal halves. This is the vertical line x = 2

3 0
1 year ago
Write the point-slope form of the equation of the line through the given points through: (-3,-1) and (-2,5)?
nevsk [136]

The point-slope form of the equation of the line through the given points through: (-3,-1) and (-2,5) is y + 1 = 6x + 18

<u>Solution:</u>

Given, two points are (-3, -1) and (-2, 5)

We have to find that a line that passes through the given two points.

First let us find the slope of the line that passes through given two points.

<em><u>The slope of line "m" is given as:</u></em>

\text { slope of line } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text { where, }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { are two points on line. }

Now, let us find the line equation using point slope form

y-y_{1}=m\left(x-x_{1}\right)

where m is slope

\begin{array}{l}{\text { Then, line equation } \rightarrow y-(-1)=6(x-(-3))} \\\\ {\rightarrow y+1=6(x+3)} \\\\ {\rightarrow y+1=6 x+18}\end{array}

Hence the point slope form is y + 1 = 6x + 18

7 0
3 years ago
A<br> -2<br> 1<br> B.<br> 1<br> -1<br> The midpoint of AB = ([?],[ ])
VARVARA [1.3K]

Answer:

midpoint of AB = (-1/2 , 0)

Step-by-step explanation:

A(-2 , 1) = (x1 , y1)

B(1 , -1) = (x2 , y2)

midpoint formula:

=(x1 + x2/2 , y1 + y2/2)

=(-2 + 1/2 , 1 + (-1)/2)

=(-1/2 , 0/2)

(-1/2 , 0)

6 0
3 years ago
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