Answer:
A) x² + 2x + 6
B) x² + 2x - 7
C) ¼(x²+2x+1))
D) 6x²+12x+6
E) -x²-2x-1
Step-by-step explanation:
A) f(x) + 5 =x²+2x+1 + 5
= x² + 2x + 6
B) f(x)-8,=x^2+2x+1-8
= x² + 2x - 7
C) ¼f(x) = ¼(x²+2x+1)
D) 6f(x) = 6(x²+2x+1) = 6x²+12x+6
E) -f(x) = -(x²+2x+1) = -x²-2x-1
Answer:
95 degrees
Step-by-step explanation:
The sum of the measures of a quadrilateral is 360 degrees. 360-105-80-80 = 95 degrees
Hey, It looks like you're in Algebra and I'm here to give the best solution I can!
To write the equation, you are going to use the Standard Form. Standard Form is one way of solving this problem, and it is used to find the x,and y-intercepts of a problem.
Standard Form can be written using the equation <span>ax+by=c
</span>In your problem, you will write the equation like so, with 'x' representing T-Shirts, and 'y' representing pants:
<span>
8x+5y=220</span>
Now, in order to find the x-intercept you need to substitute a 0 for the 'y' variable and solve the new equation, 8x=220.
I'm sure you know you need to divide both sides by 8 which will give you the answer x=27.5.
Now, in order to find 'y' you would substitute a 0 for the 'x' variable which will give you an equation that should look like 5y=220.
Then, divided both sides by 5 to get your y-intercept.
y=44
Finally,you know that each T-Shirt (x) is $27.50, and each pair of pants(y)costs $44
-I hope this helped you, Sincerely, Auhrevo!
<span>so here is how you can answer this:
Your commission must be equal to the sum of the 10% of the value of the rug and the 15% of the value of the furniture and equate this to the value of your commission. Translate this to a mathematical equation, you would get,
Commission = (10%) (value of rugs) + (15%) (value of furniture).
substituting the known values,
5000 =.1 * x + .15 * 12500.
Now it's a matter of finding for x. You should get,
x = $31,250.</span>
Answer:
b. Invalid, because the sample may not be representative of the population.
Step-by-step explanation:
A sample of around 10% of the population is needed to be representative.
In this question:
We have a population of 500,000, and a sample of 10,000.
10,000/500,000 = 1/50 = 0.02 = 2% of the population, so not representative, and option b is correct.
