Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.
The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.
The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).
The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320
(0+4)^3*(0-1)*k = 320
-64k = 320
k = -5
Combining all three conditions, f(x)
= -5(x+4)^3*(x-1)
= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)
= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)
= -5(x^4 + 11x^3 + 36x^2 + 16x -64)
= -5x^3 -55x^3 - 180x^2 - 80x + 320
Answer:
6. is H
7. is B
Explanation:
the communitive property states that if: a+b=c, then b+a=c
if each ballon costs 2 dollars, that would b 2x or $2 (aka the 2) for 1 balloon (aka the x) and since he has a 10$ off coupon, you have to subtract 10$ so y=2x-10
To make 3 batches of trail mix you need 6 cups of cereal, 3/4 cup of raisins and 2 cups of almonds, while to make 4 batches you need 8 cups of cereal, 1 cup of raisins and 2 and 2/3 cups of almonds.
<h3><u>Fractions</u></h3>
Since one batch of trail mix uses 2 cups of cereal, 1/4 cup of raisins, and 2/3 cup of almonds, to determine how much of each ingredient you would need to make 3 or 4 batches of trail mix, the following calculation must be performed:
- 3 batches =
- 2 x 3 = 6
- 1/4 x 3 = 3/4
- 2/3 x 3 = 0.666 x 3 = 2
- 4 batches =
- 2 x 4 = 8
- 1/4 x 4 = 1
- 2/3 x 4 = 2 2/3
So to make 3 batches of trail mix you need 6 cups of cereal, 3/4 cup of raisins and 2 cups of almonds, while to make 4 batches you need 8 cups of cereal, 1 cup of raisins and 2 and 2/3 cups of almonds.
Learn more about fractions in brainly.com/question/1301963
The answer would be the first option
because the size of the shape is not altered
The total number of hours Vanessa work in a week is:
total work hours = (8 hours / day) * 5 day / week
total work hours = 40 hours per week
The total number of hours she did not work:
<span>total hours did not work = (90 minutes)(1 hour / 60
minutes) + (45 minutes)(1 hour / 60 minutes) + 2.5 hours</span>
total hours did not work = 4.75 hours
The amount of hours Vanessa work last week can be
calculated using the formula:
work hours = total work hours - total hours did not work
work hours = 40 hours – 4.75 hours
<span>work hours = 35.25 hours</span>
