Answer:
On the number line integers from 16 to 24 is the answer.
Answer:
The sum of the internal ángles = 360°
(3y+40)° and (3x-70°) are suplementary angles = 180°
then:
(3x-70) + (3y+40) + 120 + x = 360 ⇒ first eq.
(3y+40) + (3x-70) = 180 ⇒ second eq
development:
from the first eq.
3x + x + 3y = 360 + 70 - 40 - 120
4x + 3y = 430 - 160
4x + 3y = 270 ⇒ third eq.
3y = 270 - 4x
y = (270 - 4x) / 3 ⇒ fourth eq.
from the secon eq.:
3y + 3x = 180 + 70 - 40
3y + 3x = 250 - 40
3y + 3x = 210 ⇒ fifth eq.
multiply by -1 the fifth eq and sum with the third eq.
-3y - 3x = -210 ⇒ (fifth eq. *-1)
3y + 4x = 270
⇒ 0 + x = 60
x = 60°
from the fourth eq.
y = (270-4x)/3
y = (270-(4*60)) / 3
y = (270 - 240) / 3
y = 30/3
y = 10°
Probe:
from the first eq.
(3x-70) + (3y+40) + 120 + x = 360
3*60 - 70 + 3*10 + 40 + 120 + 60 = 360
180 - 70 + 30 + 40 + 120 + 60 = 360
180 + 30 + 40 + 120 + 60 - 70 = 360
430 - 70 = 360
Answer:
y = 10
Divide number of pounds eaten by the portion of the bag eaten.
= 4 1/2 pounds ÷ 3/4
= 4.5 ÷ 0.75
= 6 pound bag
CHECK:
multiply total pounds of bag by portion eaten
= 6 pound bag * 3/4
= 4 1/2 pounds eaten
ANSWER: The bag was 6 pounds of dog food.
Hope this helps! :)
Answer:
The picture with the widest graph in red
Step-by-step explanation:
The graph P(x) is the parent graph for all quadratic functions. It has a vertex of (0,0) and has the following points:
x f(x)
-2 4
-1 1
0 0
1 1
2 4
The image of l(x) = P(1/3x) changes the points of the function to
x f(x)
-2/3 4/9
-1/3 1/9
0 0
1/3 1/9
2/3 4/9
This makes the graph much wider. The graph with the widest red graph is the graph.
