Answer:
Y=3
Step-by-step explanation:
You go over to the X axis, find -2 and go up the line vertically until you touch the black line going across. You look to the right and see it says 3. So 3 is your answer
Answer:
4.5 cups of spinach
Step-by-step explanation:
we know that
The recipe serves 12 people and calls for 3 cups of spinach
so
using proportion
Find out how many cups of spinach should you use, to serve 18 people

Answer:
The slope is how much he saves per week (In this case it would be $5 per week)
Step-by-step explanation:
Slope is rise/run or change in y/change in x
In this graph, from x=0 to x=8, the rise or change in y is 40$ and the run or change in x is 8 weeks. So the slope is $40/8 weeks, or $5/week
Answer:
10. Let m<Y = y.
Then,
m<Y + m<X +m<Z = 180 [ Sum of angles of triangle is 180 degrees]
or, y + (6x-23) + (4x + 9) = 180
or, y + 10x -14 = 180
or, y = 194 - 10x
or, m<Y = 194 - 10x
12. Solution,
a. m<1 = 60 degrees [Each angles of equilateral triangle is equal to 60 degrees]
b. In triangle WYZ,
m<Z + m<ZWY + m<ZYW =180 [Sum of angles of triangle is 180]
or, 138 + m<ZWY +m<ZWY =180 [Base angles of isosceles triangle are equal, i.e. m<ZYW = m <ZWY]
or, 2 (m<ZWY) = 180 -138 = 42
or, m<ZWY = 21 = m<ZYW
or, m<3 = 21 = m<5
c. Solution,
m<XWY = m<2 + m<3 [Addition axiom]
or, 60 = m<2 + 21 [Each angle of equilateral triangle is 60]
or, m<2 = 39
d. Solution,
m<4 + m<5 =60 [<XYW = 60 ]
or, m<4 + 21 = 60
or, m<4 = 39
Each piece of this function is continuous on its respective domain (because all polynomials are continuous functions), meaning
• 2 - x exists for all x < -1
• x exists for all -1 ≤ x < 1
• (x - 1)² exists for all x ≥ 1
So this really just leaves the points where the pieces are split up, i.e. x = -1 and x = 1. At both of these points, the two-sided limit exists as long as the one-side limits from both sides exist and are equal to one another.
At x = -1, as I said in my comment, you have

while

But -1 ≠ 3, so the two-sided limit

does not exist. So a = -1 is one of the points you would list.
At x = 1, we have

while

and again the one-sided limits don't match, so this two-sided limit also does not exist, making a = 1 the other answer.