Answer: 145
Step-by-step explanation:
Answer: 145
Step by step explanation:
g(x) = 4(x2 – 6x + 9) + 1
g(x) = –3(x2 – 8x + 16) – 6
g(x) = 8(x2 – 6x + 9) – 5
Answer:
g(x) = 8(x2 – 6x + 9) – 5
Step-by-step explanation:
A function with a form (x - a)^2 - b where a and b are some constants are a transformation to the right and down from the parent function, f(x) = x^2. Then, option:
g(x) = 4(x2 – 6x + 9) + 1 = 4(x - 3)^2 + 1
is discarded
The vertex form of a quadratic equation is f(x) = c*(x - h)^2 + k, where c, h and k are all constant, and point (h,k) is the vertex of the quadratic function. If c > 0, then the vertex is a minimum and if c < 0 then the vertex is a maximum. Therefore, options:
g(x) = –9(x2 + 2x + 1) – 7 = -9(x + 1)^2 - 7
g(x) = –3(x2 – 8x + 16) – 6 = -3(x - 4)^2 - 6
are dicarded
In consequence, the correct option is:
g(x) = 8(x2 – 6x + 9) – 5 = 8(x - 3)^2 - 5
Answer:
The last choice is the one you want
Step-by-step explanation:
First of all, a parabola has a minimum value if it is a positive parabola, one that opens upward. The first and the third parabolas are negative so they open upside down. That leaves us with choices 2 and 4. We find the side to side and up or down movement by finishing the completion of the square that has already been started for us. Do this by factoring what's inside the parenthesis into a perfect square binomial.
The second one factored becomes:
which reflects a shift to the right 3 and up 1. Not what we are asked to find.
The fourth one factored becomes:
which reflects a shift to the right 3 and down 5. That's what we want!
B. (2x+2y)
C. 3xy
D. 10+3xy
Answer:
Option D is correct.
Charge for the mowing = 10 + 3xy
Step-by-step explanation:
here, x represents the length of the lawn and y represents the width of the lawn.
= xy square yard
Perimeter of lawn = 2 (x+y) = 2x + 2y yard
As per the statement:
Devin has started a lawn care service. He will charge a mowing fee of $10 plus $3 per square yard of lawn.
then;
Charge for mowing =
= 10 + 3xy
Also, he offers trimming service at $8 plus $1 per yard of the perimeter.
⇒ Trimming service = = 8 + (2x +2y)
Therefore, from the expression: 10 + 3xy +8 + (2x+2y)
10 + 3xy represents the charge for the mowing.
Answer:
The trinomial is
Step-by-step explanation:
We need to find the trinomial which has the factors
To find the trinomial , we need to multiply the factors
multiply term wise,
Answer:
Step-by-step explanation:
C=(5,-3)
P=(3,2)
PC²=(3-5)²+(2+3)²=29
29>25 =P is exterior to the circle