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3 years ago

Examine the graph.

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

7 0

-3 is the increasing interval

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Factorise<br>b^3−b^2+b−1,2b^3−b^2+b−2

Alex Ar [27]

Answer:

(b² + 1) (b - 1)

Step-by-step explanation:

= b³ - b² + b - 1

= b² (b - 1) + 1(b - 1)

= (b² + 1) (b - 1)

6 0

3 years ago

What is the area of the circle below?<br> 10 ft

azamat

Answer:

<h3>Circle</h3>

Solve for area

A=π r^2

r =Radius

<h2>You about this first: </h2>

The circumference of a circle is its perimeter or distance around it. It is denoted by C in math formulas and has units of distance, such as millimeters (mm), centimeters (cm), meters (m), or inches (in). It is related to the radius, diameter, and pi using the following equations: C = πd. C = 2πr.

Step-by-step explanation:

Hope it is helpful....

8 0

3 years ago

A survey asked 25 students about their favorite sport. A frequency table of their responses is below.

Maksim231197 [3]

Answer: The second one

Step-by-step explanation:

response/25=x/100 and then you solve for x

5 0

3 years ago

Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$