Answer:
<u>The correct answer is D. x + 5≤ - 4</u>
Step-by-step explanation:
Let's review which inequality has - 12 in its solution set, this way:
A. x + 6 less-than negative 8
-12 + 6 < - 8
-6 < - 8 Not correct
B. x + 4 greater-than-or-equal-to negative 6
- 12 + 4 ≥ - 6
- 8 ≥ - 6 Not correct
C. x minus 3 greater-than negative 10
- 12 - 3 > - 10
<u>- 15 > - 10 Not correct</u>
D. x + 5 less-than-or-equal-to negative 4
- 12 + 5 ≤ - 4
- 7 ≤ - 4 This is correct
<u>The correct answer is D. x + 5≤ - 4</u>
The inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
<h3>How to determine the inverse relation?</h3>
The function is given as
f(x)=1/3x^2-3x+5
Start by rewriting the function in vertex form
f(x) = 1/3(x - 9/2)^2 -7/4
Rewrite the function as
y = 1/3(x - 9/2)^2 -7/4
Swap x and y
x = 1/3(y - 9/2)^2 -7/4
Add 7/4 to both sides
x + 7/4= 1/3(y - 9/2)^2
Multiply by 3
3x + 21/4= (y - 9/2)^2
Take the square roots
y - 9/2 = √(3x + 21/4)
This gives
y = 9/2 + √(3x + 21/4)
Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
Read more about inverse functions at:
brainly.com/question/14391067
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Answer: disagree
Step-by-step explanation:
Caterpillar A is longer, but not because of the decimal places. It is longer because of the place value.
Answer:
7
Step-by-step explanation:
Because decagon has 10 sides. If the perimeter is 70, I would divide it. 70/10 = 7
Pardon me if I turn out to be wrong, but that is how I think you would solve this.
Answer:
y = 3x + 21
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula
