Answer:
B. 36 C. 180 D. 240 E. 1,656
Step-by-step explanation:
Partial product is the multiplication of individual digit of a number in turn with each digit of the others where each digit maintains its place.
Using distributive property to multiply 24 × 69 to determine our partial products:
i.e.
24 × 69 = 24 × (60 + 9)
= (24 × 60) + (24 × 9)
= 60 (20 + 4) + 9(20 + 4)
So; we can have:
= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)
= 1200 + 240 + 180 + 36
= 1656
68 divided by 4 is 17 and 17 times 7 (the amount of people watching) is 119
Answer:
(3)(x+7)(x-1)
Step-by-step explanation:
3x^2+18x-21
Let's start by taking 3 out of the equation.
3(x^2+6x-7)
Now, when we factor, we need to find two numbers that add up to 6 and multiply to -7.
The numbers would be 7 and -1.
So the factored form of this would be:
(3)(x+7)(x-1)
Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.
