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Shkiper50 [21]
2 years ago
15

Somone explain this question to me ? And help me do it

Mathematics
1 answer:
vlabodo [156]2 years ago
3 0
To answer your question the correct answer would be the last one because you would have to slide the triangle to the right to (1,1) and reflect it over the x-axis so that it became (-1,-1)

hope this helps
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Can someone please help me with this last one. I am totally lost and don’t understand
Ad libitum [116K]

Answer:

g(-4) = -1

g(-1) = -1

g(1) = 3

Explanation:

If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.

For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.

Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.

As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.

It is a coincidence that g(-1) = -1.

Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.

We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3

4 0
2 years ago
Mike has a collection of 16 antique tin toys, including 2 airplanes. If Mike randomly selects a toy, what is the probability it
myrzilka [38]

Answer:

C. 1/8

Step-by-step explanation:

This is because the number two goes into sixteen eight times. This is the simplest form of the fraction.

6 0
3 years ago
If a box of clothes weighing 10 lbs (4.5 kg) and a box of books weighing 10 lbs (4.5 kg) were placed on a scale, what is most li
sveta [45]
The scale will read 8 kgs
7 0
3 years ago
Read 2 more answers
PLEASE HELP T-T
jolli1 [7]

Answer:

D.) He jogged 5 miles west and 12 miles north

Step-by-step explanation:

if you think of this as a right angled triangle, you are trying to work out the hypotenuse (longest side)

the formula is a^{2} + b^{2} = c^{2}

so, 5^{2} + 12^{2} = 169

169 = the hypotenuse^{2}

\sqrt{169} = 13 miles

8 0
2 years ago
Read 2 more answers
Answer for 6x-31=11x+64
PIT_PIT [208]
6x - 31 = 11x + 64
6x cancels out and you take 6x away from 11x
-31 = 5x + 64
64 cancels out and you take 64 away from -31
-95 = 5x
Divide both sides by 5
-19 = x
6 0
3 years ago
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