Answer:
4 and -4, both points are four away from zero and absolute value does not care about whether the number is positive or negative
Answer: 9 energy drinks and 18 granola bars.
Step-by-step explanation:
Price per granola bar = $0.50
Price per energy drink = $2.
We can define G as the number of granola bars that she bought, and D as the number of drinks that she bought.
Then
"She buys twice as many granola bars as energy drinks."
G = 2*D
" If she spends $27 in total"
G*$0.50 + D*$2 = $27
So we have a system of equations:
G = 2*D
G*$0.50 + D*$2 = $27
The first step will be to replace the first equation into the second one, and solve it for D.
(2D)*$0.50 + D*$2 = $27
D*(2*$0.50) + D*$2 = $27
D*$1 + D*$2 = $27
D*$3 = $27
D = $27/$3 = 9.
So she bought 9 energy drinks, and we know that:
G = 2*D
G = 2*9 = 18
She bought 18 granola bars.
The coordinates of the vertex are (1.5, 1.75) and the axis of symmetry is at x = 1.5.
We can find the vertex by using the formula for finding x-coordinates. The formula for the x-coordinate of a vertex is below.
-b/2a
In this equation, a is the coefficient of the x^2 term (1) and b is the coefficient of the x term (-3). Then we can plug in to find the x term.
-(-3)/2(1)
3/2
1.5
Now that we have this term, we can plug it in for all values of x to find the y term.
x^2 - 3x + 4
1.5^2 - 3(1.5) + 4
2.25 - 4.5 + 4
1.75
Now we know that the vertex is at (1.5, 1.75). Now finding the axis of symmetry is easy because the axis of symmetry in any quadratic is simply x = [x-coordinate of vertex]. So in this case it would be x = 1.5.
You can't use more then 500
Answer:
Wth
Step-by-step explanation:
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