Answer:
Option C.
Step-by-step explanation:
Equation of the parent function graphed in the figure is,
G(x) = x²
By reflecting the parent function over the x-axis,
G'(x) = -x²
By shifting G'(x) by 2 units down over the y-axis,
f(x) = -x² - 2
Therefore, transformed form of the parent function will be
f(x) = -x² - 2
Therefore, Option C will be the answer.
14. The answer is hundred-thousandths. The 2 is in the tenths place, the 0 is in the hundredths place, and then 5 is in the hundred thousandths place, etc etc.
15. The quarter and the penny. Like I said above, the hundredth’s place is the second number after the decimal.
Hope this helps xx
Answer:
Theoretical Probability because its what should happen but experimental is what happens
Step-by-step explanation:
First, you have to find the equation of the perpendicular bisector of this given line.
to do that, you need the slope of the perpendicular line and one point.
Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3
the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3
step 2: find the middle point: x=(-20+10)/2=-5, y=(15+5)/2=10 (-5, 10)
so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)
now plug in all the given coordinates to the equation to see which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, so yes, (-8, 19) is on the perpendicular line.
try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint.
Answer:
The price of uniform U= $145
price of each pair of cleats C= $16
Step-by-step explanation:
Let:
The Price of Each Uniform = U
The Price of Each Pair of Cleats = C
Rigo spent $451, before taxes, and purchased three uniforms and one pair of cleats.
→ Equation A
Ian spent $757, before taxes, and purchased five uniforms and two pair of cleats.
→ Equation B
Let's calculate → 2(Equation A) - (Equation B)
2(3U+C)-(5U+2C)= 2(451) -757
6U+2C-5U-2C= 145
U=$ 145
3U+C= 451
3(145)+C= 451
C= 451-435
C= $16
