MATHEMATICS HIGH SCHOOL

Two functions are shown in the table below.Function 1 2 3 4 5 6
f(x) = −x2 + 4x + 12
g(x) = x + 8
Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).
x = 3
x = 4
x = 5
x = 6

Answers

Answer 1
Answer: Given:
f(x) = - x² + 4x + 12
g(x) = x + 8

f(1) = -(1)² + 4(1) + 12 = -1 + 4 + 12 = -1 + 16 = 15
f(2) = -(2)² + 4(2) + 12 = -4 + 8 + 12 = -4 + 20 = 16
f(3) = -(3)² + 4(3) + 12 = -9 + 12 + 12 = - 9 + 24 = 15
f(4) = -(4)² + 4(4) + 12 = -16 + 16 + 12 = -16 + 28 = 12
f(5) = -(5)² + 4(5) + 12 = -25 + 20 + 12 = -25 + 32 = 7
f(6) = -(6)² + 4(6) + 12 = -36 + 24 + 12 = -36 + 36 = 0

g(1) = 1 + 8 = 9
g(2) = 2 + 8 = 10
g(3) = 3 + 8 = 11
g(4) = 4 + 8 = 12
g(5) = 5 + 8 = 13
g(6) = 6 + 8 = 14

f(x) = g(x) when x = 4
f(4) = g(4)
12 = 12

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Which of these relations is a function?
I’m I correct??

Answers

Answer:

the first one on the bottom

Step-by-step explanation:

There is a little trick to find out if it is a function or not. This trick is called the vertical line test. if you can scan the figure with a virtual line and it does not touch more than one side of the figure at one time then it is a function. if it touches more than one side or line of the figure it is not a function.

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Answers

Answer:

Your answer is: No, it is not a right triangle

Step-by-step explanation:

We can use the Pythagorean theorem to determine if a triangle is a right triangle. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's label the sides of the triangle:

Side A = 72 miles

Side B = 85 miles

Side C = 36 miles

To check if it's a right triangle, we can compare the lengths of the sides using the Pythagorean theorem:

1. Calculate the squares of the lengths of Side A and Side B:

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- B^2 = 85^2 = 7225

2. Calculate the square of the length of Side C:

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3. Check if the sum of the squares of the two shorter sides (A^2 + B^2) is equal to the square of the longest side (C^2):

- A^2 + B^2 = 5184 + 7225 = 12409

- C^2 = 1296

Since A^2 + B^2 is not equal to C^2 (12409 ≠ 1296), we can conclude that the given triangle is not a right triangle.

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:
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