(a) 95 = (x+7)*(x-7)
(b) 95 = (x+7)*(x-7)
Expand the brackets:
95 = x² -7x + 7x -49 = x² - 49
Subtract x² from both sides:
95-x² = -49
Subtract 95 from both sides:
-x²=-49-95
-x²= -144
Divide both sides by -1 to get rid of the negative numbers:
-x²/-1=-144/-1
x²=144
Take the square root of 144:
x = ± squareroot of 144
x = 12 or -12
x = 12 because you cannot have a negative age so Trina is 12 years old.
Answer:
units
Step-by-step explanation:
The perimeter of a square is 4 times the length of one side.
The length of the sides of a square is given by the expression 
To find the perimeter, we multiply this expression by 4.
We expand to obtain:
This simplifies to:
<span>
The vertices of a polygon are given as follows: P(-2,4), Q(4,2), R(4,0); S(-12,0); k = 0.5 Find the coordinates of the vertex P' of the image after a dilation having the given scale factor. Type your answers as a coordinate pair in this format: (x,y)</span>
Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.
Let us calculate total deductions.
Federal income tax = 15% of 2396 = 0.15*2396 =$359.4
Social security tax = 6.2% of 2396=0.062*2396 =$148.552
Medicare tax = 1.45% of 2396= 0.0145*2396=$34.742
<u>health insurance premium =$95 </u>
Total deductions = $637.694
To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306
Hence net pay of Janice is $1758.306 per month.
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ - 1, 6 ] and from the graph
f(b) = f(6) = 0
f(a) = f(- 1) = 0, thus
average rate of change = 
= 
= 0
