Answer:
B
Step-by-step explanation:
The given equation y = 2x^2 -12x - 32 can be factored as follows:
y = 2(x^2 - 6x - 16) = 2(x - 8)(x + 2). Then its roots are x = -2 and x = 8.
Since d > e and 8 > -2, we conclude that d = 8 and e = -2.
We need to find the minimum of y = 2x^2 -12x - 32.
We can do this by finding the vertex: b
The equation of the axis of symmetry is x = - ----------
2a
-12
which here is x = - --------- = 3
2(2)
so f = 3.
Answer choice B is correct.
Answer:
i would make a number line up to 10. the with a hollow dot on -4 have a line facing left
Answer:
<u>The final answer is 35n/17r</u>
Step-by-step explanation:
Let's simplify the expression, this way:
1. Start with the coefficients:
(10 * 42)/(6 * 34)
We cancel 6 in the denominator and change 42 by 7. Now we have:
(10 * 7)/34
We now divide by 2 both in the numerator and the denominator. Now we have:
(5 * 7)/17.
The remaining numbers are prime numbers and it's not possible to continue simplifying, so we got:
35/17
2. Variable r:
We have r⁴/r⁵ = r ⁴⁻⁵ = r⁻¹ = 1/r¹ = 1/r
3. Variable n:
We have n⁴/n³ = n ⁴⁻³ = n¹/1 = n
4. Adding the pieces:
We put coefficients and variables together: 35/17 * 1/r * n
<u>The final answer is 35n/17r</u>
Answer:
Area = 5(x + 4y - 6).
Step-by-step explanation:
The area of the whole figure = area of rectangle + area of the triangle
= 10(2y - 3) + 1/2 * 10 * x
= 20y - 30 + 5x
= 5(x + 4y - 6).
