I believe the awnser is d
Answer:
460
Step-by-step explanation: multiply all numbers to get your answer
<span>x = 18 and the length of each side of the triangle is 29.
This is a matter of reading the descriptions and converting to mathematical notation.
"QRS is an equilateral triangle"
We now know that all three sides of the triangle have the same length.
"If QR is seven less than twice x". So we can write
QR = 2x - 7
"RS is 61 less than 5 times x". So we can write
RS = 5x - 61
"QS is 11 more than x". And we can write
QS = x + 11
And because we already know that they all have the same length, then we can set those equations equal to each other. Let's just pick 2 of them. Will use the length of QR and QS because they look the simplest and then will solve for x.
QR = 2x - 7
RS = 5x - 61
QS = x + 11
2x - 7 = x + 11
x - 7 = 11
x = 18
So we now know that x = 18. Let's check to make sure all three equations have the same value.
QR = 2x - 7 = 2*18 - 7 = 36 - 7 = 29
RS = 5x - 61 = 5*18 - 61 = 90 - 61 = 29
QS = x + 11 = 18 + 11 = 29
And they all are equal, so 18 is the correct value for x.</span>
Answer:
The answer is below
Step-by-step explanation:
The domain of a function is the set of all independent variables for the function while the range of a function is the set of all possible dependent variables.
Let x represent the number of newspaper lines and f(x) be the charges for advertisement. x is the independent variable and f(x) is the dependent variable.
Since the newspaper charges $3 per line for the first 4 lines plus a $20 fee to advertise, the function is given as:
f(x) = 3x + 20 for 0 < x < 4
But for more than four lines, the charges is given as:
f(x) = 12 + 20 = 32 4 < x < ∞
Therefore, the domain and range of the function is:
Domain = (0, ∞)
Range = (20, 32}
First, distribute 2 to x and 4, and -3 to x and -5 (distributive property)
2(x + 4) = 2x + 8
-3(x - 5) = -3x + 15
2x + 8 - 3x + 15
Next, combine like terms
2x - 3x = -x
8 + 15 = 23
-x + 23 is your answer
hope this helps