Answer:
Step-by-step explanation:
Answer:
Domain : 0° < x <90°
Range: 90° < y < 180°.
Step-by-step explanation:
When we have a function:
f(x) = y
the domain is the set of the possible values of x, and the range is the set of the possible values of y.
In this case we have:
x + y = 180°
such that x < y
Let's analyze the possible values of x.
The smallest possible value of x must be larger than 0°, as we are workin with suplementary angles.
Knowing this, we can find the maximum value for y:
0° + y = 180°
y = 180° is the maximum of the range.
Then we have:
0° < x
y < 180°
To find the other extreme, we can use the other relation:
x < y.
Then, we can impose that x = y (this value will not be either in the range nor the domain)
if x = y then:
x + y = x + x = 180
2*x = 180
x = 90°
This will be the maximum of the domain and the minimum of the range.
Then we have that the domain is:
0° < x <90°
And the range is:
90° < y < 180°.
Answer:
Y=2x-13 ...................
He cut the poster board into 10 equal parts, so you start with none of the poster board being used up.
Since there were 10 sheets of poster board, and now 8/10 of the original amount is left, we know that there must now be 8 sheets left out of the original 10 sheets.
He can make one sign for each remaining sheet, so he can make 8 signs.
The answer is C.
Answer:
1/45 ≈ 0.022
Step-by-step explanation:
There are originally 10 juice boxes in the cooler, 2 of which are grape.
The probability that the first juice box is grape is 2/10.
The probability that the second juice box is grape is 1/9.
The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.
