Answer:
If a plane contains a line, it contains the points on the line
Step-by-step explanation:
I got it right on a quiz
(5x²+4x-80)(x²-5x-24)=5x²(x²-5x-24)+4x(x²-5x-24)-80(x²-5x-24)
{distributive property of multiplication}
=5x^4-25x³-120x²+4x³-20x²-96x-80x²+400x+1920
=5x^4-21x³-220x²+304x+1920
This is the answer.
2 tenths and 5 hundredths.
<span>The mean absolute deviation tells you how spread out or how clustered around the mean a set of data is. This is the variation in the data. To compare sets, a higher mean absolute deviation indicates that the data points are more spread out from the mean. A lower mean absolute deviation indicates data points are more clustered around the mean.</span>
Answer:
The value of p at q = 5 is 406.25
Step-by-step explanation:
∵ p varies directly as the cube of q
→ That means p ∝ q³
∴ The equation of variation is p = kq³, where k is the constant of variation
∵ p = 26 when q = 2
→ Use them to find the value of k
∵ 26 = k(2)³
∴ 26 = k(8)
∴ 26 = 8k
→ Divide both sides by 8
∴ ![\frac{26}{8}=\frac{k}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B26%7D%7B8%7D%3D%5Cfrac%7Bk%7D%7B8%7D)
∴ 3.25 = k
→ Substitute it in the equation of variation
∴ p = 3.25 q³ ⇒ equation of variation
∵ q = 5
→ Substitute it in the equation of variation to find p
∴ p = 3.25 (5)³
∴ p = 406.25
∴ The value of p at q = 5 is 406.25