You find the range by plugging 0 ,2 and 4 into x^2 + 1.
for x = 0 y = 0 + 1 = 1
x = 2, y = 2^2 + 1 = 5
x = 4 y = 4^2 + 1 = 17
so the range is {1, 5, 17}
Because the shape is not undergoing a dilation, the perimeter of the original image and the new image is the same. The only thing that is changing is the placement of the original figure.
I hope this helps! :)
Answer:
x=1 and y=−2
Step-by-step explanation:
Multiply the first equation by 9,and multiply the second equation by -8.
9(−7x−8y=9)
−8(4x−9y=22)
Becomes:
−63x−72y=81
−32x+72y=−176
Add these equations to eliminate y:
−95x=−95
Then solve−95x=−95for x:
−95x
−95
=
−95
−95
(Divide both sides by -95)
x=1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
−7x−8y=9
Substitute1forxin−7x−8y=9:
(−7)(1)−8y=9
−8y−7=9(Simplify both sides of the equation)
−8y−7+7=9+7(Add 7 to both sides)
−8y=16
−8y
−8
=
16
−8
(Divide both sides by -8)
y=−2
(22.11 - 4.29) /3 = X
22.11- 4.29 = 17.82
17.28/3 = 5.94
One bag of apples cost $5.94
The probability of rolling a sum of six or two even numbers.
is P = 1/3
<h3>
How to find the probability?</h3>
Here we are rolling two dice, and each dice has 6 possible outcomes, then the total number of outcomes is:
6*6 = 36
Now, the outcomes that given a sum of 6 are:
dice 1 dice 2.
1 5
5 1
2 4
4 2
3 3
We have 5 outcomes there.
The outcomes where both numbers are even are:
dice 1 dice 2.
2 2
2 4
4 2
4 4
4 6
6 2
6 4
6 6
We have 8 outcomes here (such that 2 are in the ones we counted before).
Then the total number of outcomes that either add to 6 or have both even numbers are:
5 + 8 - 2 = 12
Then 12 out of 36 outcomes either add to 6 or have both even numbers, this means that the probability is:
P = 12/36 = 1/3
If you want to learn more about probability:
brainly.com/question/25870256
#SPJ1
