Answer:
P ( x ) = -0.7 (x - 2)²(x + 3)
Step-by-step explanation:
<u>We are given</u> :
P ( x ) , has a root of multiplicity 2 at x = 2
and a root of multiplicity 1 at x = − 3
Then
P ( x ) = a (x - 2)²(x + 3) ; where ‘a’ is a real number.
P ( x ) = a (x - 2)²(x + 3)
= a (x² - 4x + 4)(x + 3)
= a [x³ - 4x² + 4x + 3x² - 12x + 12]
P (0) = -8.4
⇔ a [(0)³ - 4(0)² + 4(0) + 3(0)² - 12(0) + 12] = -8.4
⇔ 12 a = -8.4
⇔ a = (-8,4) ÷ 12
⇔ a = -0,7
<u>Conclusion</u> :
P ( x ) = -0.7 (x - 2)²(x + 3)
Actually, the "slant height" is 4, but the vertical height or "altitude" of the equilateral triangle is not 4
but anyway.....
and the volume, is the area of the triangle, times the length, so, whatever you get for the area of the triangle * 10
Answer:
Six numbers have perfect square factors
Step-by-step explanation:
The numbers with perfect square factors are those numbers that have perfect squares as one of the numbers that can divide them.
They include:
4 = 2 * 2
16 = 4 * 4
36 = 6 * 6
49 = 7 * 7
64 = 8 * 8
81 = 9* 9
These numbers above have perfect square factors because they are formed from integers that multiply themselves.
Answer:
6(8+3x)
Step-by-step explanation:
48+18x
We can factor out an 6 from each term in the expression
6(8+3x)
In one foot, there are 0.33 yards.
Therefore, you need to multiply 26 by 0.33
20x0.33= 6.6
6x0.33= 1.98 yards.
6.6+1.98= 8.58
Therefore, in a 26' long painting, there are 8.58 yards
Hope this helps :)
