Answer:
y=
x-2
Step-by-step explanation:
Slope intercept form is a way to describe a function using its slope and y-intercept and is written as y=mx+b.
m=slope
b=y-intercept
Looking at the graph we can see it goes through x=0 at y=-2 making -2 the y-intercept.
Then we must solve for slope, slope is rise/run. From the point (0,-2) the function travels to (7,0).
This gives us a rise (change in x) of 2 and a run (change in y) of 7 and 2/7 as our slope.
Factor
7
x
7
x
out of
14
x
2
14
x
2
.
7
x
(
2
x
)
−
21
x
7
x
2
x
-
21
x
Factor
7
x
7
x
out of
−
21
x
-
21
x
.
7
x
(
2
x
)
+
7
x
(
−
3
)
7
x
2
x
+
7
x
-
3
Factor
7
x
7
x
out of
7
x
(
2
x
)
+
7
x
(
−
3
)
7
x
2
x
+
7
x
-
3
.
7
x
(
2
x
−
3
)
Answer:
It takes 2 1/2 hours to paint each room.
So to find percent increase, you want to minus the difference in cost..
1.09- 0.87= .22...
now divide the difference by the original....
.22 ÷ .87 = .25287.....etc
now multiply that by 100...
.25287 × 100 = 25.287
now it says round to the nearest tenth so...
25.29% increase.
Side of the original square is 5 cm.
Step-by-step explanation:
- Step 1: Let the side of the original square be x. Then side of the new square = x + 3 and Area of new square = 64 cm²
Area of a square = (side)²
⇒ 64 = (x + 3)²
⇒ 64 = x² + 6x + 9
⇒ x² + 6x - 55 = 0
⇒ x² + 11x - 5x - 55 = 0 (Since 6x = 11x - 5x as part of factorizing)
⇒ x(x + 11) - 5(x + 11) = 0
⇒ (x + 11)(x - 5) = 0
⇒ x = -11 and x = 5 (Lengths can't be negative)
Side of the original square is 5 cm.
