Answer:
Step-by-step explanation:
f(x) = -5x + 8(7 - x)......when f(x) = 160
160 = -5x + 8(7 - x)
160 = -5x + 56 - 8x
160 - 56 = -5x - 8x
104 = - 13x
-104/13 = x
-8 = x <====
Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
Hey there!!
The basic slope-intercept formula :
y = mx+ b where ' m ' is the slope and ' b ' is the slope-intercept.
Given equation : 7x - 2y = 8
We will have to isolate the ' y '
... 7x - 2y = 8
Subtract 7x on both sides
... -2y = -7x + 8
Divide by - 2 on both sides
... y = ( 7x / 2 ) - 4
Hence,
slope = 7/2 = 3.5
y-intercept = ( 0 , -4 )
Hope it helps!!
This probability is the same as 1-(two different suited cards). Your first card can be any of the 52 cards. Your second card must be any of the 39 different suited remaining 51 cards. So the answer is 1 - (52/52)(39-51). Note: I assumed there was no replacement.
Answer:
A (52,2%, 55,8%)
Step-by-step explanation:
To get the confidence interval, we have to add the margin of error to the point estimator.
The middle of the interval is 54%, and the ME is 1.8%. Don't forget that this means ±1.8%!
54 - 1.8 = 52.2%
54 + 1.8 = 55.8%
So our confidence interval is (52,2%, 55,8%) and the answer is A.
