The content of the square root must be greater than or equal to zero. Determine the conditions on x that make this true.
As written, you require
.. x ≥ 0
If you intend
.. √(x -1) ∈ ℝ
Then
.. x -1 ≥ 0
Solve this inequality by adding 1.
.. x ≥ 1
Answer:
Natalie's age is 14
Sasha's age is 17
Step-by-step explanation:
Let
Sasha's age be "s", and
Natalie's age be "n"
<u>Sum of Sasha and Natalie is 31:</u>
s + n = 31
<u>Twice Natalie is 11 more than Sasha:</u>
2n = s + 11
We ca solve this equation for s first:
s = 2n - 11
We put this into first equation and solve for n first:
s + n = 31
2n - 11 + n = 31
3n = 31 + 11
3n = 42
n = 42/3 = 14
Natalie's age is 14
Also, s = 2n - 11
s = 2(14) - 11
s = 28 - 11
s = 17
Sasha's age is 17
Answer:
Step-by-step explanation:
2x²-13x+21+6x²+29x-5
=8x²+16x+16
Answer:
2/15
Step-by-step explanation:
Given that :
pretzel = 4
Popcorn = 3
Cheddar cracker = 3
Total = 4 + 3 + 3 = 10
Probability = Required outcome / Total possible outcomes
Selecting with replacement :
First selection :
P(pretzel bag) = 4 / 10
Second selection :
P(pretzel bag) = 3 / 9
P(2 pretzel bags) = 4/10 * 3/9 = 12 / 90 = 2/15
Parallel to the x-axis and perpendicular to the y-axis: zero
Parallel to the y-axis and perpendicular to the x-axis: undefined
I hope that's right, that's how I remember it
