Answer:
x = 4
y = 6
Step-by-step explanation:
3x + 4y = 36
3x + 4(-1/2x + 8) = 36
3x - 2x + 32 = 36
x + 32 = 36
x + 32 - 32 = 36 - 32
x = 4
y = -1/2x + 8
y = -1/2(4) + 8
y = -2 + 8
y = 6
Answer:
x = 10
Step-by-step explanation:
Since the line segment bisects ∠A the following ratios are equal
=
, that is
=
( cross- multiply )
8(2x + 1) = 12(x + 4) ← distribute both sides
16x + 8 = 12x + 48 ( subtract 12x from both sides )
4x + 8 = 48 ( subtract 8 from both sides )
4x = 40 ( divide both sides by 4 )
x = 10
On the 40th and the 80th you will receive both a free beverage and a free appetizer. You can find this by simply finding the multiples of both number up to 100 (or a little more than 100) to find out on which dates you'd get bothe an appetizer and beverage for free. Here are the multiples of both, to prove this answer.
- 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104.
- 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
Thus making 40 and 80 the answers. I hope this helps!
Answer:
Option B is correct
Step-by-step explanation:
A function has form of f(x) = 2x + 3, or y = 2x + 3
To find the inverse of f(x), we are going to represent x in form of y.
To do this, we try to send all components containing x to one side of expression and send the other components to the other side of expression.
Now, let's do it.
y = 2x + 3
We firstly send 3 to the right, change the sign of 3 from + to -, we have:
y - 3 = 2x
We then rearrange both sides to get a standard form:
2x = y - 3
We now divide both sides by 2 to get the expression of x:
(2/2)x = (y - 3)/2
We simplify both sides of expression to obtain final result:
x = (1/2)y - 3/2
=> Inverse of f(x) is x = (1/2)y - 3/2
=> Option B is correct