Answer:
Part A) y=1,100x + 4,500
Part B) 14,400
Step-by-step explanation:
Part A)
There is a base fee of $4,500, meaning that the line begins at y=4500 (i.e. The y-intercept is [0,4500], so 'b' in y=mx+b is 4,500). There is a $1,100 hourly rate, which is proportional to the value of x, the amount of hours filmed. Therefore, 'm' in y=mx+b is $1,100.
Thus, the final equation looks like:
y= 1,100x + 4,500
Part B)
x=9
y=1,100x+4,500
y=1,100(9)+4,500
y=9,900+4,500
y=14,400
First, we need to get the variable by it self.
-2x+6=20
-6=-6
-2x=14
Next, since the operation is multiplication, we need to divided both sides by -2.
X=-7
Answer:
x = 25 degrees
Step-by-step explanation:
So we know that the 4x, 2x + 10°, and x - 5° and the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180°.
Using this, we can conclude that the sum of 4x, 2x + 10°, and x - 5° is equal to 180°.
We can write this information as the equation:
4x + (2x + 10) + (x - 5) = 180
We can use this equation to find the value of x. To find the value of x by using the equation, we need to solve for x (put the equation into the form x = _).
Solve for x:
4x + (2x + 10) + (x - 5) = 180
4x + 2x + 10 + x - 5 = 180
Combine like terms.
7x + 5 = 180
Subtract 5 from both sides to get rid of the +5 on the left side.
7x = 180 - 5
Simplify.
7x = 175
Divide both sides by 7 to get rid of the coefficient of 7 on the left side.
x = 175 ÷ 7
Simplify.
x = 25.
x would be equal to 25°.
x = 25 degrees
I hope you find this helpful. :)
