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Soloha48 [4]
3 years ago
15

The expression -x^2 + 70x -600 represents a companys profit for selling x items. For which number of items sold is the companys

profit equal to zero?
Mathematics
1 answer:
umka21 [38]3 years ago
7 0

Answer:

Step-by-step explanation:

-x² + 70x - 600

If we multiply all by -1, we have

x² - 70x + 600

If we factorise this, we have

x² - 10x - 60x + 600

x(x - 10) - 60(x - 10)

(x - 10) (x - 60)

x = 10

x = 60

If the company sells 10, or 60 items, their profit is 0

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Simplify the expression. x4y−4z−2x2y−2z4 y2x2z6 the fraction with numerator y squared and denominator x squared z to the 6th pow
Kaylis [27]

Given:

Consider the given expression is:

\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}

To find:

The simplified form of the given expression.

Solution:

We have,

\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}

By using the quotient property of exponents, we get

=x^{4-2}y^{-4-(-2)}z^{-2-4}              \left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]

=x^{2}y^{-4+2}z^{-6}

=x^{2}y^{-2}z^{-6}

By using negative exponent property, we get

=\dfrac{x^{2}}{y^{2}z^{6}}           \left[\because a^{-n}=\dfrac{1}{a^n}\right]

The simplified form of the given expression is \dfrac{x^{2}}{y^{2}z^{6}}.

Therefore, the correct option is B.

4 0
3 years ago
The answer to the question
djyliett [7]

Hey there!

Looking at the graph, we can see that the lengths of the two bases are 6 and 3. We can also see that the height is 6 as well.

The formula for the area of a trapezoid is shown below.

A=0.5h(a+b)

In the equation, h represents the height and a and b represent the two bases.

Let's plug our values into the equation.

A=0.5(6)(6+3)

A=3(9)

A=27

Therefore, our answers are below.

Bases: 3 and 6

Height: 6

Area: 27 square units

I hope this helps!


3 0
4 years ago
Second generation offspring Bookmark this page Exercise: Second generation offspring 0/2 points (graded) Every person has a rand
hichkok12 [17]

Answer:

9, 24

Step-by-step explanation:

Given;

Mean= 3

Variance =2

Lets make m, the number of grandchildren of a generation of a certain person. This will make our question to be considerably related to the second generation offspring.

Hence n= 2.

Please kindly go to attachment for detailed step by step solution.

3 0
3 years ago
5x3 + 14x2 + 9x <br> help
Cerrena [4.2K]
<h3>Answer:    x(x+1)(5x+9) </h3>

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

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

6 0
3 years ago
The balance of a loan is $2,570 in January, and the monthly payment is $125.50. The relationship between the loan balance, y, an
Hoochie [10]
1600<2570-125.5x<2000  subtract 2570 from all terms...

-970<-125.5x<-570  divide all terms by -125.5 (and reverse signs because of division by a negative!)
 
7.73>x>4.54  and x is months since January, and since months can only be integers...

x=[5,7]

So January + 5, 6, and 7 respectively are the three months that satisfy the equation...

June, July, and August.





4 0
3 years ago
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