9514 1404 393
Answer:
C. The zeros are -1 and 5/2, because f(x) = (x + 1)(2x-5).
Step-by-step explanation:
The zeros of the function are the values that make the factors zero. The factors need to multiply out to give the original standard-form equation.
The sign of the constant (-5) tells you the product of the constants in the factors must be -5. That is only true for choices B and C.
Additionally, the x-term needs to match the result of multiplying out the factors.
B. (x -1)(2x +5) = 2x^2 +3x -5 . . . . . . . . . wrong x-term (not -3x)
C. (x +1)(2x -5) = 2x^2 -3x -5 . . . . . . . . . matches the given f(x)
The factors of C are zero when x=-1, x=5/2.
The <em>approximate</em> solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).
<h3>How to find an approximate solution of a one-variable equation</h3>
The solution of the equation is between x = 4 and x = 5. Now we begin by evaluating each side of the expression (f(x) = x² - 5 · x + 4, g(x) = 2 / (x - 1)) at the average of x = 4 and x = 5.
x = (4 + 5) / 2
x = 4.5
f(4.5) = 4.5² - 5 · 4.5 + 1
f(4.5) = - 5 / 4
g(4.5) = 2 / (4.5 - 1)
g(4.5) = 4 / 7
The solution of the equation is between x = 4.5 and x = 5, then we evaluate at the average:
x = (4.5 + 5) / 2
x = 4.75
f(4.75) = 4.75² - 5 · 4.75 + 1
f(4.75) = - 3 / 16
g(4.75) = 2 / (4.75 - 1)
g(4.75) = 8 / 15
The solution of the equation is between x = 4.75 and x = 5, then we evaluate at the average:
x = (4.75 + 5) / 2
x = 4.875
f(4.875) = 4.875² - 5 · 4.875 + 1
f(4.875) = 25 / 64
g(4.875) = 2 / (4.875 - 1)
g(4.875) = 16 / 31
The <em>approximate</em> solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).
To learn more on successive approximations: brainly.com/question/27191494
#SPJ1
Use Conects it got all the math questions n got the answer to questions ahead of the one u looking for
Answer:
Harry is 7 more years older then larry
Step-by-step explanation:
Harry is 7 more years older then larry because if you sutract 7-14 you get 7
Answer:
9600
Step-by-step explanation:
y varies inversely with the square of x
y=k/(x^2)
for some non-zero constant k
y=6 when x=4
6=k/(4^2)
k=96
y=96/(x^2)
x=0.1
y=96/(0.1^2)
y=9600
