Answer:
131.086
Step-by-step explanation:
Answer:
E, 3.
Step-by-step explanation:
Since both f(x) and g[f(x)] are quadratic polynomials, g(x) must also be a linear polynomial.
Let g(x) = Ax + B, where A and B are constants to be determined.
Then we have A[2x² - 3x + 1] + B ≡ x² - (3/2)x + 3.
=> A = 1/2 and B = 5/2.
Hence, f[g(-1)] = f[(1/2)(-1) + (5/2)] = f(2) = 2(2)² - 3(2) + 1 = 3. (E)
g(x) = x2 − 8x + 16
In which direction and by how many units should f(x) be shifted to obtain g(x)?
Left by 4 units
Right by 4 units
Left by 8 units
Right by 8 units
Answer: The answer is (B) Right by 4 units.
Step-by-step explanation: The two functions f(x) and g(x) are defined as follows:
We are to check the correct transformation of the graph of f(x) to the graph of g(x).
We can rewrite the graph of g(x) as follows:
Comparing this with the equation of f(x), we can say that f(x) is shifted right by 4 units to obtain g(x).
The graphs of both the functions are shown in the attached figure.
Answer:
Left by 4 units
Step-by-step explanation:
I took it the first time and put Right 4 units and got it wrong. When i put left by 4 units i got it right.
B. One real solution
C. Two imaginary solutions
Answer:
It is (−4, 2) and lies on both lines.
Step-by-step explanation:
The system of equations shown below is graphed on a coordinate grid:
4y + x = 4
2y − x = 8
(a) (2, 5), Plug in x= 2 and y=5 in the given equations
4(5) + 2 = 4 --------> false
2(5) - 2=8 --------->True
(b) (-4,2)
4(2) -4 = 4 --------> True
2(2) − (-4) = 8 ------> True
for (-4,2) both equations are true , so it lies on both lines
It is (−4, 2) and lies on both lines.