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stepan [7]
3 years ago
12

FACTOR OUT THE GCF: 6d^5-10d^2

Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

GCF: 2d²

Step-by-step explanation:

Write out all the factors of 6:

   6

-----------

6       1

3       2

Write all the factors of 10:

     10

--------------

10        1

5         2

The GFC of both of those numbers is 2.

Since both numbers have a variable of d, and since they both have exponents, you can multiply both numbers by d², because there is at least one d² in each variable.

Your full answer would be: 2d²(3d³ - 5)

If you use foil, remember you don't multiply exponents, you add them.

You might be interested in
What is -3(-6+8)^3-2(1-3)^3
marin [14]

Assignment: \bold{Solve \ Equation: \ -3\left(-6+8\right)^3-2\left(1-3\right)^3}

<><><><><>

Answer: \boxed{\bold{-8}}

<><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><>

[ Step One ] Follow PEMDAS Order Of Operations; Calculate Within Parenthesis

Note: \bold{PEMDAS: \ Parenthesis, \ Exponents, \ Multiply, \ Divide, \ Add, \ Subtract}

\bold{-6+8: \ 2}

[ Step Two ] Rewrite Equation

\bold{-3\cdot \:2^3-2\left(1-3\right)^3}

[ Step Three ] Calculate Within Parenthesis

\bold{1-3: \ -2}

[ Step Four ] Rewrite Equation

\bold{-3\cdot \:2^3-2\left(-2\right)^3}

[ Step Five ] Calculate Exponents

\bold{2^3: \ 8}

[ Step Six ] Rewrite Equation

\bold{-3\cdot \:8-2\left(-8\right)}

[ Step Seven ] Multiply

\bold{2\left(-8\right): \ -16}

[ Step Eight ] Rewrite Equation

\bold{-24-\left(-16\right)}

[ Step Nine ] Subtract

\bold{-24-\left(-16\right): \ -8}

[ Step Ten ] Rewrite Equation

\bold{-8}

<><><><><><><>

\bold{\rightarrow Mordancy \leftarrow}

8 0
3 years ago
Help plsss!! thank you so mhcb
svet-max [94.6K]
The answer is 25 degrees
3 0
3 years ago
Read 2 more answers
Which graph below represents a functional relationship? A. 10 10 8 8 6 6 4 2 2 X 10864 6 8 10 10 8 6 4 4 6 8 10 -21 4 -61 -8 -8
Anestetic [448]

Answer:

Graph (C)

Step-by-step explanation:

To find whether the graph\table represents a relationship or a function we have to analyze the input-output values given.

Graph A.

In this graph for every input value (x-value) there are two output values (y-values).

For x = -2, y = -2, 2

So the graph doesn't represent a function.

Graph B.

For every x value there are two y-values

For x = -5, y = -3, 3

So the graph doesn't represent a function.

Graph C.

For every input value there is a different y-value.

Therefore, graph represents a function.

Graph D.

In this graph for x = 3, y = 1, 2, 3, 4

For one value of x, there are four values of y.

Therefore, graph doesn't show the relationship.

4 0
3 years ago
Given that parallelogram ABCD and angle D=145 what is the measure of angle C
stiv31 [10]
Opposite angles of parallelogram are equal.
sum of interior angles of parallelogram is 360 degrees.

Therefore,
A + B + C + D = 360
x + 145 + x + 145 = 360 
x = 35
Therefore angle C is 35 degrees 
8 0
3 years ago
Read 2 more answers
Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same ro
nydimaria [60]
The key is Esther travelled the same distance - x - in both her morning and evening commute.

45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x

Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.

Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.

Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.

45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.

<span>Hope that makes a little sense. And I also hope it's right</span>
7 0
3 years ago
Read 2 more answers
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