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vlada-n [284]
4 years ago
11

Factor and GCF of this

Mathematics
2 answers:
padilas [110]4 years ago
4 0
FACTOR- 2(6x^2+5) and GCF is 2
Brrunno [24]4 years ago
3 0
2(6x^2 +5)
that's the only number they have in common
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Haruka owns an umbrella factory. The revenue,R, she makes from selling n umbrellas is given by the function R(n)=18n, and the pr
RSB [31]

The question is to find an expression for the expenses


<u>Answer:</u>

E (x) =n + 5


<u>Explanation:</u>

The profit is defined as the difference between the revenue and the expenses.

<u>This means that:</u>

profit = revenue - expenses


<u>Now, we rearrange the equation to solve for expenses:</u>

expenses = revenue - profit


<u>From the given, we know that:</u>

expression for revenue is 18n

expression for profit is 17n - 5


<u>Substitute in the equation to get expression for expenses as follows:</u>

E (x) = 18n - (17n - 5)

E (x) = 18n - 17n + 5

E (x) = n + 5


Hope this helps :)

6 0
4 years ago
A variable force of 3x−2 pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done
Verdich [7]

Answer:

2.70J.

Step-by-step explanation:

We have been given that a variable force of 3x^{-2} pounds moves an object along a straight line when it is x feet from the origin.  We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.

We know that dW=Fdx, where F represents force.

dW=3x^{-2}dx

Now, we will integrate both sides of equation as:

\int\limits{dw} =\int\limits^{10}_1 {3x^{-2} \, dx

Take the constant out:

\int\limits{1dw} =3\int\limits^{10}_1 {x^{-2} \, dx

w =3\int\limits^{10}_1 {x^{-2} \, dx

Upon applying power rule of integrals, we will get:

w =3\/[ \frac{x^{-2+1}}{-2+1} ]^{10}_1

w =3[ \frac{x^{-1}}{-1} ]^{10}_1

w =3[ -\frac{1}{x} ]^{10}_1

w =3[ -\frac{1}{10} -(-\frac{1}{1})]

w =3[ -\frac{1}{10}+\frac{10}{10})]

w =3[\frac{9}{10}]

w=2.70

Therefore, the work done by the object is 2.70J.

8 0
3 years ago
Question 1 of 10
Zanzabum

Answer:

A: 40 degrees

Step-by-step explanation:

Since every triangle is 180 degrees, you can start off by subtracting 50 from 180 since that side does not contain a y for you to solve.

Since the other two sides do have a y in them, you would set 130 degrees equal to y+10 and 2y:

130=y+10+2y

Then you would isolate the y's by subtracting 10, and you would add y and 2y together to get:

120=3y

Finally, you would divide 120 by 3 to get your answer, 40=y.

Hope this helps!

8 0
4 years ago
Find the balance in an account when $500 is deposited at 4% interest compounded semi-annually for 2 years
Readme [11.4K]

Answer:

$541.22

Step-by-step explanation:

We are given;

Amount deposited (principal) is $500

Rate of interest is 4%

Time = 2 years

We are required to determine amount in the account after 2 years

Interest periods, n = 4 (since the money was compounded semi-annually)

rate of interest, r = 2%

Using the compound  interest formula;

Amount, A = P (1 + r/100)^n

Therefore;

Amount = $500 (1 + 2/100)^4

             = $500 × 1.02^4

            = $541.22

Therefore, the balance in the account after 2 years is $541.22

7 0
4 years ago
X=17-4y<br> y=x-2<br> answer by substitution
GaryK [48]

Answer:

(5,3)

Step-by-step explanation:

x=17-4y

x=17-4x+8

x=25-4x

5x=25

x=5

y=x-2

y=5-2

y=3

(5,3)

5 0
3 years ago
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