Answer:
#1
Zeroes: x = 4, x = -6
The vertex is at ( -1 , 50 )
Step-by-step explanation:
I'll do the first one, you try the rest
All of these are written in y = a(x - x1)(x - x2) where x1 and x2 are given and x are the two different zeroes (or x-intercepts)
f(x) = -2(x-4)(x+6)
The zeroes are x - 4 = 0 and x + 6 = 0 if you solve, you get 4 and -6
Zeroes: x = 4, x = -6
The x value of the vertex can be found using -b/2a (in the form ax^2 + bx + c)
First expand f(x)
-2(x^2 + 2x - 24) => -2x^2 - 4x + 48
b = -4 and a = -2
-(-4)/2(-2) = 4/-4 = -1
the x-value of the vertex is -1
Now substitute -1 as x to find the y-value of the vertex
-2(-1-4)(-1+6) = -2(-5)(5) = 50 <= y-value of vertex
The vertex is at ( -1 , 50 )
Answer:
C
Step-by-step explanation:
1. Let x be the odd integer. Let y be the sum.
x + (x + 1) + (x + 2) = y
3x + 3 = y
Adding two consecutive integers to an odd integer will result in an even integer.
So, you can eliminate choices B and D since they are odd.
Lastly, plug in choices A and C for y and choose the answer that makes x an integer.
Choice C would give you the correct result.
3x + 3 = 44562
3x = 44559
x = 14853
7 English and 6 Science
There are 7 * 6 ways this can be put together. Which makes 42.
Take a look at the diagram below. There are 6 possible science teachers that the student could choose after choosing E1 which is the first English teacher. Each of the remaining 6 english teachers also allow for 6 science teachers.
6*7 = 42
<span>The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation.</span>
<span>So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation. And since x + y = 8, you are adding the same value to each side of the first equation.</span>
