The rule for the reflection of shape A over the line y = -x is (x, y) ⇒ (-y, -x)
<h3>What is a transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, rotation, reflection and dilation.</em>
Dilation is the increase or decrease in the size of a figure.
The rule for the reflection of shape A over the line y = -x is (x, y) ⇒ (-y, -x)
Find out more on transformation at: brainly.com/question/4289712
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4x = 5x - 12
First you want to subtract 5x from both sides:
5x will cancel out
4x - 5 = -1
Next you want to divide -1 on both sides:
-1 will cancel out
-12/-1 = 12
Since there are two negatives it turns into a positive.
So your answer is x = 12.
Hope this Helps!!
X (Time in Hours) y (Distance)
0 900
1 850
2 800
3 750
The y-intercept of this function would be the value of y when x = 0
Reading from the table, when x = 0, y = 900
Interpreting this value it means that initially, the distance of the car from its destination is 900 miles
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PART B
The rate of change is calculated by finding the vertical and horizontal distance between two points
The decrease is the same value every time; for every hour, there's a decrease of 50 miles.
So, the rate of change is 50 miles per hour
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PART C
The function is in the straight line equation form: y = -50x + 900
The value -50 represents the negative slope (the decrease in distance)
The value 900 represents the y-intercept
The car reaches its destination when y = 0, so the value of x would be
0 = -50x + 900
50x = 900
x = 900/50
x = 18 hours
The domain of the function is 0 ≤ x ≤ 18
Answer:
348,750 dollars in 3 years
Step-by-step explanation:
<u>You inheritanced </u><u>15,500</u><u> dollars. You put that into a account which has a</u><u> 7.5% </u><u> interest rate for one year.</u><u> 15,500 x 7.5 = 116,250</u><u> a year. now you want to know how much that'll be in 3 years multiply</u><u> 116,250 x 3 = 248,750.</u>
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(I'm sorry if this is incorrect i tried doing the math correctly!)
