Answer:
- 5(x - 4)(x + 4)
Step-by-step explanation:
Given
- 5x² + 80 ← factor out - 5 from each term
= - 5(x² - 16) ← x² - 16 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x² - 16 = x² - 4² = (x - 4)(x + 4)
Thus
- 5x² + 80 = - 5(x - 4)(x + 4) ← in factored form
<u>Answer:</u>
- Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.
<u>Step-by-step explanation:</u>
We know that:
- 48 + 8(b) = Carly's expenditure
- 10(b) = Carly's expenditure
- 48 + 8b = 10b
- B = Boxes of cards
<u>Work:</u>
- 48 + 8b = 10b
- => 48 + 8b - 8b = 10b - 8b
- => 48 = 2b
- => b = 24
<u>Now, let's substitute the value of b into any equation.</u>
<u>Hence, Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.</u>
Hoped this helped.

Answer:it would be exactly to the other side of y
Step-by-step explanation:
like say -2,1 would reflect as 2,1
Answer:

And for this case the value for the height is
the diameter is provided
so then the radius is given by:

Then we can find the volume with the first formula and replacing we got:

The final answer for this case would be 551.4 cubic inches
Step-by-step explanation:
The volume for a right circular cone is given by this formula:

And for this case the value for the height is
the diameter is provided
so then the radius is given by:

Then we can find the volume with the first formula and replacing we got:

The final answer for this case would be 551.4 cubic inches
P(H)=1/2, P(1)=1/6
P(H and 1)=(1/2)(1/6)=1/12 (≈8.33%)