She types in 450 words in 5 minutes
180/2=90
90*5=450
First way: x * 1.05
This computes directly what 105% of x will be.
Second way: x + (x * 0.05)
This takes x (which is 100%) and adds 5% of x to it.
Meet of lines: y = 3x − 2 and y = -2x + 3?
y=3x-2 has slope 3 and y intercept -2 (which means thru (0,-2)) , so that's the blue line through point D.
y=-3x+3 has slope -2 and y intercept 3, so the red line through points A, C and D.
The point D(1,1) is the intersection of the lines. Let's check that algebraically:
3x-2=3(1)-2=1=y, good
-2x+3 = -2(1)+3=1=y, good
Answer: D
All of the equations contain -4 in their range.
A) -4 = sqrt(x) - 5
1 = sqrt(x)
x = 1; valid
B) -4 = sqrt(x) + 5
-9 = sqrt(x)
x = 81; valid
C) -4 = sqrt(x + 5)
16 = x + 5
x = 11; valid
D) -4 = sqrt(x - 5)
16 = x - 5
x = 21
I believe the equations contain square instead of square root, in which case the answer would be A because no other could have a negative range.