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kirill115 [55]
3 years ago
5

Multiply −2x(6x^4−7x^2+x−5)

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

Answer:

<h2>-12x⁵ + 14x³ - 2x² + 10x</h2>

Step-by-step explanation:

Use distributive property:

<em>a(b + c) = ab + ac</em>

-2x(6x^4-7x^2+x-5)\\\\=(-2x)(6x^4)+(-2x)(-7x^2)+(-2x)(x)+(-2x)(-5)\\\\=-12x^5+14x^3-2x^2+10x

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The equation of line q is 5y - 4x = 10. Write the standard fom of the equation of the line that fits the following description:
kumpel [21]
<h3>Answer:  -4x+5y = 100</h3>

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

Explanation:

The given equation is the same as -4x+5y = 10

It is of the form Ax+By = C, where A = -4, B = 5, C = 10

Anything parallel to Ax+By = C is of the form Ax+By = D. The only difference is the C has changed to a D.

This means anything parallel to -4x+5y = 10 is -4x+5y = D, where D is not equal to 10, but it could be any other number.

Plug in the coordinates of (-15,8) to find the value of D

-4x+5y = D

-4(-15)+5(8) = D

60+40 = D

100 = D

D = 100

We have -4x+5y = D update to -4x+5y = 100

The equation -4x+5y = 100 is parallel to -4x+5y = 10, and it goes through (-15,8)

Parallel lines have the same slope, but different y intercepts.

Note how Ax+By = C has a slope of m = -B/A. This means A cannot be zero.

7 0
3 years ago
The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
Tema [17]

Answer:

2 \frac{1}{16}

Step-by-step explanation:

The question state that;  the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is  1/6 of n = 1/6 × n  = \frac{n}{6}

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n  = 5/2 × n = \frac{5n}{2}

So the question says that, when we add; \frac{n}{6} ,  \frac{5n}{2}  and 7 all together, the value is 12 1/2

That is;

\frac{n}{6}  + \frac{5n}{2} + 7 = 12 1/2

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}         ( changing 12 1/2 to improper fraction will give  \frac{25}{2} )

So we can now go ahead and solve for n

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}  

subtract 7 from both-side of the equation

\frac{n}{6}  + \frac{5n}{2}   =  \frac{25}{2}   -   7

\frac{n + 15n}{6}  =   \frac{25 -14}{2}

\frac{16n}{6}      =    \frac{11}{2}

\frac{16n}{6}  can be reduced to give us \frac{8n}{3}

\frac{8n}{3}   =   \frac{11}{2}

Cross multiply

8n × 2  = 11× 3

16n = 33

Divide both-side of the equation by 16

\frac{16n}{16}    =   \frac{33}{16}

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while  on the right-hand side of the equation 33 will be divided by 16)

n =  \frac{33}{16}     = 2\frac{1}{16}

Therefore the number is  2\frac{1}{16}

5 0
3 years ago
If 3 + 4 7 and 6 + 1 = 7, then 3 + 4 = 6 + 1a. Distributive property . Associative property Transitive property . Commutative pr
Ugo [173]
If 3+4 = 7 and 6+7 = 7 leads to 3+4 = 6+1, then you are using the transitive property. In general the property says that if a = b and b = c, then a = c.
6 0
3 years ago
Two more than the Quotient of twelve and a number
chubhunter [2.5K]

Answer:

x/12+2

Step-by-step explanation:

the answer to the question

4 0
3 years ago
a baker has 50 pounds of flour. she uses 12 pounds of flour to make bread . what percent of flour does she use????????¿
Daniel [21]
24%.  Because 12 divided by 50 times 100 is 24.
3 0
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