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jeyben [28]
3 years ago
6

What is the greatest common factor of 56a^3-8a

Mathematics
1 answer:
dybincka [34]3 years ago
7 0

Answer:

8a

Step-by-step explanation:

56a^3-8a\\8a(7a^2-1)\\8a

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a 15000 !!! i just took the question

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The temperature of the furnace is 1200 and cool at a rate of 15 per minute the temperature of another furnace is 900 and is heat
Hunter-Best [27]

Answer:

After 15 minutes, the temperature of both the furnaces will be same.

Step-by-step explanation:

Let x be the minutes when the temperature of both becomes same.

Now, as per question:

Temperature of the furnace after x minutes that is cooling at the rate of 15 degree per minute is given as:

T=1200-15x

Temperature of the furnace after x minutes that is heating at the rate of 5 degree per minute is given as:

T=900+5x

Now, equating both the temperatures, we get

1200-15x=900+5x\\1200-900=15x+5x\\300=20x\\x=\frac{300}{20}=15\ min

Therefore, after 15 minutes, the temperature of both the furnaces will be same.

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3 years ago
Which sequence of transformations can change the size of a polygon? Select all that apply
skelet666 [1.2K]

Answer: C

Step-by-step explanation:

5 0
3 years ago
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Suppose that g(x) varies inversely with (x) and g(x) = 0.2 when x=0.1. What is g(x) when x=1.6?
mestny [16]
Since g(x) varies with x, therefore:
g(x) = k/x where k is a constant.

So, first we need to get k. We are given that g(x) = 0.2 when x = 0.1
Substitute with these values to get k as follows:
g(x) = k/x
0.2 = k/0.1
k = 0.2*0.1 = 0.02

Now, the equation became:
g(x) = 0.02 / x

We need to get the g(x) when x = 1.6
Therefore, we will substitute with x in the equation and calculate the corresponding g as follows:
g(x) = 0.02 / 1.6
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Use technology to find points and then graph the line y=-5(x-5)+1 following the instructions below.
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Given:

y=-5(x-5)+1

First, let us find two points from this equation.

We can set values of x and then solve for y.

Let us find the values of y when x = 1, 2, 3, 4, 5

\begin{gathered} y=-5(x-5)+1 \\ y=-5(1-5)+1=21 \\ y=-5(2-5)+1=16 \\ y=-5(3-5)+1=11 \\ y=-5(4-5)+1=6 \\ y=-5(5-5)+1=1 \end{gathered}

We now have a set of points:

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(2, 16)

(3, 11)

(4, 6)

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Since the given plane is limited to values of 10 and -10, the points that we can plot are the points (4, 6) and (5, 1)

The graph would then look like this:

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