Carry out the mult.: f(x) = -[x^2 - 21x + 9x - 189]
Combine like terms: f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [ ]: f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c: a= -1, b=12, c=189
The equation of the axis of symmetry is x = -b/(2a), which here equals
x = -(12)/[2(-1)], or x = 6
This is also the x-coordinate of the vertex. Plug x=6 into the original equation to calculate the y-coordinate.
Answer:
2267.97 grams
Step-by-step explanation:
i hope this helps!
The total amount of degrees in a triangle is 180. All three angles should add up to 180˚
We know that 40+60 = 100
The next step is to do 180-100 to get the other angle.
180-100 = 80
So the measure of the third angle is 80˚
Hope this helps!
(Also if you want to do this in one equation, you would do 40+60+x = 180
40+60+x = 180
100+x = 180 (combine like terms)
x = 80 (Subtract 100 from both sides)
For this case we must find 35% of 280.
Kerrie gets 10% and then 25%. So:
10% of 280:
280 ------------> 100%
x -----------------> 10%
Where "x" represents the amount given by 10% of 280.

Thus, 10% of 280 is 28.
Now, we find 25% of 280:
280 ------------> 100%
x -----------------> 25%
Where "x" represents the amount given by 25% of 280.

Thus, 25% of 280 is 70.
So we have that 35% of 280 is given by:

So, Kerrie's solution is correct.
Answer:
Option A
Answer:
A. True
B. False
C. False
D. True
Step-by-step explanation: