Answer:
The inequality which represents the graph is y ≤ -2x + 1 ⇒ A
Step-by-step explanation:
To solve the question you must know some facts about inequalities
- If the sign of inequality is ≥ or ≤, then it represents graphically by a solid line
- If the sign of inequality is > or <, then it represents graphically by a dashed line
- If the sign of inequality is > or ≥, then the area of the solutions should be over the line
- If the sign of inequality is < or ≤, then the area of the solutions should be below the line
Let us study the graph and find the correct answer
∵ The line represented the inequality is solid
∴ The sign of inequality is ≥ or ≤
→ That means the answer is A or B
∵ The shaded area is the area of the solutions of the inequality
∵ The shaded area is below the line
∴ The sign of inequality must be ≤
→ That means the correct answer is A
∴ The inequality which represents the graph is y ≤ -2x + 1
Answer:it will take 200 kilometers for the costs to be the same.
Step-by-step explanation:
Let x represent the number of kilometers that Andrea would have to drive for the total cost of renting from both companies to be the same.
Action trucks charges $80 for the day plus $0.22 per kilometer. It means that the total cost of x miles would be
80 + 0.22x - - - - - - - - - 1
Truck experts charges $100 for the day plus $0.12 per kilometer. It means that the total cost of x miles would be
100 + 0.12x - - - - - - - - - 2
Therefore, for the cost of renting from both companies to be the same,
80 + 0.22x = 100 + 0.12x
0.22x - 0.12x = 100 - 80
0.1x = 20
x = 20/0.1 = 200
#1)
Answer:
x=1 and y=12
Explanation:
y=5x+7
y=2x+10
This system should use substitution because the value of y is given in terms if x.
Substitution:
5x+7=2x+10
Solve:
3x=3
x=1
Substitute x to solve for y by plugging x into one if the original equations(doesn’t matter which one is used).
y=5x+7
y=5(1)+7
y=5+7
y=12
#2)
Answer:
x=-8 and y=2
Explanation:
y=2x+18
9y=-2x+2
This system also uses substitution. The value of y us already given in terms if c in the first equations, so we will substitute in the second equation.
Substitute:
9(2x+18)=-2x+2
Solve:
18x+162=-2x+2
20x=-160
x=-8
Now that we have the value if x, plug it into one of the original equations(doesn’t matter which equation) and substitute to find y.
y=2x+18
Substitute:
y=2(-8)+18
Solve:
y=-16+18
y=2
Regarding dilation, it is found that:
1. The scale factor is of 6.45
2. The scale factor is of 1.4375.
3. the image will be smaller than the pre-image.
<h3>Dilation</h3>
A dilation is one type of transformation that is applied to images, in which the side lengths are multiplied by a constant called scale factor, changing the side lengths of the image.
In item a, the initial length was of 11 and the final length is of 71, hence the multiplier, which is the scale factor, is given as follows:
71/11 = 6.45.
In item b, the initial length was of 16 and the final length was of 23, hence the scale factor is given as follows:
23/16 = 1.4375.
For item 3, the multiplier is a number that is less than 1, meaning that the image is smaller than the pre-image.
More can be learned about dilation at brainly.com/question/3457976
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