Solve the inequality |x − 6| − 10 < 1 Write the answer as a compound inequality
1 answer:
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Answer:
The correct options are;
Answer to A1 is D
Answer to A2 is D
Answer to A3 is D
Answer to A4 is D
Answer to A5 is D
Answer to A6 is D
Answer to A7 is D
Answer to A8 is D
Answer to A9 is D
Answer to B1 is I
Answer to B2 is I
Answer to B3 is I
Answer to B4 is I
Answer to B5 is I
Answer to B6 is I
Step-by-step explanation:
The given function is f(x) = 9·x² + 54·x - 66
The extremum of the function are found as follows;
d(f(x))/dx = 0 = d(9·x² + 54·x - 66)/dx = 18·x + 54
∴ 18·x + 54 = 0 at the maximum or minimum points
x = -54/18 = -3
Given that d²(f(x))/dx² = 18 > 0. x = -3 is a minimum point
Given that the function is a quadratic function, we have;
1) Points to the left of x = -3 are decreasing
2) Points to the right of x = -3 are increasing.
Answer:
Fishing lure will be at a height of 12 feet after 0.19 and 1.31 seconds
Step-by-step explanation:
Travel of a fishing lure has been given by the expression,
h = -16t + 24t + 4
where h = height of the fishing lure
t = time or duration of travel
Height traveled by the fishing lure = 12 - 4 = 8 feet
For h = 8 feet,
8 = -16t² + 24t + 4
-16t² + 24t + 4 - 8 = 0
16t² - 24t + 4 = 0
4t² - 6t + 1 = 0
t =
=
=
=
= 1.31, 0.19 seconds
Answer: C, A, D
edit - sorry the title was wrong earlier
Step-by-step explanation:
Question 1
in the quadratic formula, the equation is in the format of ax^2 + bx + c
so rearrange this equation so all values are on one side
-6x^2 = -9x + 7
-6x^2 + 9x - 7 =0
so a = -6, b = 9, c = -7
answer = C
Question 2
note that all the values are already on one side for this, so repeat the process from question 1 where the equation is in the format of ax^2 + bx + c
the equation = −6x2 − 8x + 12 = 0
so a = -6, b = -8, c = 12
answer = A
Question 3
(see picture below for steps)
following the same process above, a = 4, b = 45, and c = 24, so plug these values in the quadratic equation shown in the picture below
so you get the answers x = -10.69 and x = -0.56 after putting them in a calculator
answer = D
