Answer:
y2= 2x-4
y3=6x-1
y4= x-1
y5=2x
Step-by-step explanation:
for y=2x-1
1) for a vertical translation down of 3 units
y2= y-3 =(2x-1)-3= 2x-4
y2= 2x-4
2) for a slope increased by 4
y3= y+ 4x = 2x-1 +4x = 6x-1
y3=6x-1
3) for sloped divided in half. slope of y : m=2 → slope of y4=2/2 =1
y4= x-1
4) shifted up (vertical translation) of 1 unit
y5= y+1 = 2x-1+1=2x
y5=2x
The inside angle where that is not labelled you can find as angles on a straight line = 180°. From this you can find that the angle is 180-40=140°. This shape is a pentagon so the sum of the interior angles is 180(5-2)=540°. So this means 68+124+76+140+x=540. Rearrange for x to get x=132°.
Answer:
Step-by-step explanation:
Given that originally there was 20 ounces o juice.
FIrst you pour 14 oz to share with a friend. Hence remaining juice would be 6 oz.
Now again 3 oz is poured for yourself.
From 6 oz 3 oz is poured
Remaining juice left in the bottle =6-3 =3 oz
Hence we have 3 ozof juice left in the bottle
To write as a fraction of original juice we write 3 in numerator and 20 in denominator as
2 for $0.48 is a better buy. You save 1 cent per cupcake.
There's really not much of a difference though.