4x(3x²+5y) expand by distributing terms
4x*3x²+4x*5y take out the constants
(4*3)xx²+4x*5y simplify 4*3 to 12
12xx²+4x*5y use product rule=xᵃxᵇ=xᵃ+ᵇ, and change the two variables (the x's) into ones, because if there is just one variable with no number by it, then it is a one.
12x¹⁺²+4x*5y and simplify 1+2 to 3.
12x³+4x*5y finally simplify 4x*5y to 20xy
12x³+20xy
Hope this helps, now you know the answer and how to do it. Stay healthy and safe and HAVE A BLESSED AND WONDERFUL DAY! :-)
- Cutiepatutie ☺❀❤
Answer:
3x^2 - 8x + 4.
Step-by-step explanation:
36x^3 - 96x^2 + 48x
Dividing by 12 term by term:
= 3x^2 - 8x + 4.
Answer:
Step-by-step explanation:
hello :
f(x) = a(x - h)²-k ....vertex form when the vertex is : (h,k)
h=1 and k=0 so : f(x) = a(x-1)²
a parabola that passes through the point (2,8) : f(2)=8
a(2-1)² =8
a= 8
f(x) = 8(x-1)²= 8(x²-2x+1)
f(x) 8x²-16x+8 .....standard form
<span>What is the probability that a five-card poker hand contains the ace of hearts?
1/52</span>
First Chart: Perimeter
Square Portion:
Original Side Lengths: P = 4 (1 + 1 + 1 + 1 ) =4
Double Side Lengths: P = 8 (2 x 4 = 8)
Triple Side Lengths: P = 12 (4 x 3 = 12)
Quadruple Side Lengths: P = 16 (4 x 4 = 16)
Rectangle Portion:
Original Side Lengths: P = 6 (1 x 2 + 2 x 2 = 6)
Double Side Lengths: P = 12 (2 x 2 + 4 x 2 = 12)
Triple Side Lengths: P = 24 (4 x 2 + 8 x 2 = 24)
Quadruple Side Lengths: P = 48 (8 x 2 + 16 x 2 = 48)
Second Chart: Area
Square Portion:
Original Side Lengths: A = 1 (1 x 1 = 1)
Double Side Lengths: A = 4 (2 x 2 = 4)
Triple Side Lengths: A = 9 (3 x 3 = 9
Quadruple Side Lengths: A = 16 ( 4 x 4 = 16)
Rectangle Portion:
Original Side Lengths: A = 2 ( 1 x 2 = 2 )
Double Side Lengths: A = 8 ( 2 x 4 = 8)
Triple Side Lengths: A = 18 ( 3 x 6 = 18)
Quadruple Side Lengths: A = 32 (4 x 8 = 32)