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photoshop1234 [79]
3 years ago
5

The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. The profit from selling x shirts

is p(x) = r(x) – c(x). What is p(x)? A. p(x) = 5x – 20 B. p(x) = 17x – 20 C. p(x) = 5x + 20 D. p(x) = 17x + 20
Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer: option A is the correct answer.

Step-by-step explanation:

The expression that relates revenue, profit and cost is

Profit = Revenue - Cost

The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. Therefore,

p(x) = r(x) - c(x)

p(x) = 11x - (6x + 20)

By expanding the bracket, the minus sign will alter each term in the bracket. Therefore,

p(x) = 11x - 6x - 20

p(x) = 5x - 20

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Find all the zeros of the quadratic function.<br> y=x²-11x+18
maria [59]
Y= (X-9)(x+2)
X=9
X=-2
8 0
3 years ago
Given the function f(x) = -0.5|2x + 2| + 1, for what<br> values of x is f(x) = 6?
Licemer1 [7]

Answer:

<em>No values of x can make f(x)=6</em>

Step-by-step explanation:

Equation with Absolute Value

The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.

The function provided in the question is:

f(x) = -0.5|2x + 2| + 1

We need to find the value(s) of x that make:

f(x)=6

It needs to solve the equation:

-0.5|2x + 2| + 1=6

Subtracting 1:

-0.5|2x + 2| =6-1=5

Dividing by -0.5:

|2x + 2| =5/(-0.5)=-10

We reach to this equation to solve:

|2x + 2| =-10

As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:

No values of x can make f(x)=6

6 0
3 years ago
Degree 4; zeros: -4+5i, -1 multiplicity 2
Kazeer [188]

Answer:

f(x) = [x^{2} + 8x + 41](x + 1)^{2}

Step-by-step explanation:

If -4 + 5i is a root of a polynomial, then it's conjugate -4 - 5i will also be a root of the same polynomial.

Therefore, the polynomial has 4 degree, and zeroes are (- 4 + 5i), (- 4 - 5i) and -1 with multiplicity 2.

Hence, the polynomial will be

f(x) = (x + 4 - 5i)(x + 4 + 5i)(x + 1)^{2}

⇒ f(x) = [x^{2} + 8x + (4 - 5i)(4 + 5i)] (x + 1)^{2}

⇒ f(x) = [x^{2} + 8x + 41](x + 1)^{2} (Answer)

6 0
3 years ago
The ratio of men to women in a certain factory is 3 to 4. There are 210 men.
WARRIOR [948]
There are 490 workers

3/4 = 210/x
Cross multiply, 210x4 and 3x
You're then left with 3x = 840, divide both sides by 3
This answer is 280 and represents the amount of female workers

Then just add 210 and 280, your answer is 490. Hope that helps!
5 0
3 years ago
Solve 5x+3y=6 -2x+4y=8 using linear combinations
Ugo [173]

Answer:

8.3869278

Step-by-step explanation:

5 0
3 years ago
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