Answer:
going down the picture
45
36
250
546
216
60
Step-by-step explanation:
Answer:
The following functions would move the graph of the function to the right on the coordinate plane.
C)
G)
Step-by-step explanation:
We need to check for those functions which shows a horizontal shift of graph to the right.
Translation Rules:
Horizontal shift:
If the function shifts units to the left.
If the function shifts units to the right.
Vertical shift:
If the function shifts units to the up.
If the function shifts units to the down.
Applying rules to identify the translation occuring in each of the given functions.
A)
Translation:
The translation shows a shift of 2 units to the left and 7 units down.
B)
Translation:
The translation shows a shift of 3 units down.
C)
Translation:
The translation shows a shift of 3 units to the right and 1 units up.
D)
Translation:
The translation shows a shift of 4 units up.
F)
Translation:
The translation shows a shift of 6 units to the left.
G)
Translation:
The translation shows a shift of 5 units to the right.
Answer:
167b + 84
Step-by-step explanation:
Multiplication is indicated between a number and a variable by writing them next to each other. A "product" is the result of multiplication, so "the product of 167 and b" is written 167b.
If you want a value that is 84 more than that, you get it by adding 84.
167b + 84
The speed is the distance covered by an object at a particular time. The distance that is covered by the vehicle is 3,391 miles.
<h3>What is speed?</h3>
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance / Time
Given that the journey took 9 days. Therefore, the time in hours will be equal to,
Time = 24 hours/day × Number of days
= 24× 9
= 216 hours
Also, given that the speed of the vehicle is 15.7 miles per hour, the number of hours for which it travels is 216 hours.
Distance = Speed × Time
= 15.7 miles/hour × 216 hours
= 3,391.2 miles
Hence, the distance that is covered by the vehicle is 3,391 miles.
Learn more about Speed here:
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Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
- Take implicit differentiation: -2yy' = 2x
- Isolate y': y' = 2x/-2y
- Isolate y': y' = -x/y
Step 3: Find d²y/dx²
- Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
- Substitute y': y" = [-y - (-x/y)(-x)] / y²
- Simplify: y" = [-y - x²/y] / y²
- Multiply top/bottom by y: y" = (-y² - x²) / y³
- Factor negative: y" = -(y² + x²) / y³
Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5