Answer:
C
Step-by-step explanation:
A piece wise function involves two or more functions over specific intervals. The equations of the two lines are the following y=x+1 and y=-x+2. The line y=-x+2 continues to the right and has an open circle at the end. So this point is not included. This means the interval is a greater than sign but not equal to. This means C is the answer.
8x + 16 = 14x
To solve this equation, move everything containing the variable you want to solve for on one side of the equation and everything else to the other side of the equation.
Let's start by subtracting 8x from both sides to have the variable x all on the right side of the equation. Once you subtract 8x from both sides, your equation will now look like this:
16 = 6x
To solve for the variable x, you want to divide both sides of the equation by 6 to isolate x and therefore find your answer. Divide both sides by 6 and your equation should look like this:
16/6 = x
Simplifying 16/6 into a mixed number ⇒ 2 2/3
Your answer is x = 16/6 or 2 2/3.
(d km)/(195 nm) = (185 km)/(100 nm)
d = 1.95*185 km ≈ 361 km
195 nautical miles is about 361 kilometers.
Answer:
length is 17 in, width is 20
Step-by-step explanation:
let's shape this as an algebraic equation, where x= the length of one side.
since the width is 3 inches longer than the length, x will be the length and x+3 will be the width.
the perimeter is 74 in, and the perimeter is the added length of all sides. in a rectangle, 2 sides are the length and 2 sides are the width, so:
74 = 2x + 2(x + 3)
let's distribute the 2.
74 = 2x + 2x + 6
now, we combine the x's.
74 = 4x + 6
after this step, subtract 6 from the right to add it to the left side.
68 = 4x
finally, divide both sides by 4.
17 = x
perfect! now that we know the length, we just have to add 3 to find the width.
17 + 3 = 20
Step-by-step explanation:
how i think this question is
13+ -y
y=6
= 13 + -6
=7
therefore the answer is 7