−14.4
−5.625
5.625
14.4
Answer:
Step-by-step explanation:
First thing, let's call f(x) "y". So y varies directly with x^2 looks like this:
y = kx^2
k is our constant of variation. We need to solve for k before we can find what we are asked to find.
Filling in:
10 = k(-4)^2 and
10 = 16 k so
k = 5/8 (reduced)
Now we will use that value of k along with the given of x = 3 to find y:
y = (5/8)(3)^2 and
y = (5/8)(9)
y = 45/8 which simplifies to
y = 5.625
The function f(x) varies directly with x2. First, find the constant of variation, then use this constant to find the value of the function at the desired x value. The value of f(x) when x = 3 is 5.625.
The phrase 'f(x) varies directly with x2' implies that there is a linear relationship between f(x) and x2. That is to say, the formula will be something like f(x) = kx2 where k is the constant of variation. We can solve for k using the given condition f(x) = 10 when x = -4. By substituting these values into the equation, we get 10 = k(-4)2, which simplifies to 10 = 16k. Solving for k, we find k = 10 / 16 = 0.625.
To find the value of f(x) when x = 3, we substitute x = 3 into the formula f(x) = 0.625x2, which results in f(3) = 0.625 * 9 = 5.625.
B. x^2 + 2x + 7
C. x^2 – 3x + 8
D. x^2 – 2x + 3
Answer:
Step-by-step explanation:
-144 : (-18) = 8
-----------------
check
8 × (-18) = -144
Answer:
5/2
Step-by-step explanation:
23x-19x+5=2x
23x-19x-2x=5
2x/2=5/2
x=5/2
Answer: The correct answer is 27
Step-by-step explanation: EDGE 2022