Answer:
P / 30 - 21= 9
2w = 9
w = 4.5
This should be the answer
Answer:
4
Step-by-step explanation:
Assign x for the number. Write an equation.
2x = 6+.5x (I'm guessing you means "6 more than half that number")
1.5x = 6 -->
x = 4
Answer:
Step-by-step explanation:
a) <u>Jamal spent:</u>
<u>Isaiah spent:</u>
<u>The equation is:</u>
b) <u>Solving the equation</u>
- 2x = 3x - 6.75
- 3x - 2x = 6.75
- x = 6.75
c) <u>Jamal's items cost </u>
<u>Isaiah's items cost </u>
- $6.75 - $2.25 = $4.50 each
For the given expressions we will have:
y = exp(x - 4) →we have a shift of 4 units to the right.
y = exp (x +9) → we have a shift of 9 units to the left.
y = exp(x) + 7 → we have a shift of 7 units up.
y = exp(x) - 6 → we have a shift of 6 units down.
<h3>
How to work with vertical and horizontal shifts?</h3>
Remember that the shifts work as follows.
For a function f(x), we define a vertical shift of N units as:
g(x) = f(x) + N
- If N > 0, the shift is upwards.
- If N < 0, the shift is downwards.
For a function f(x), we define a horizontal shift of N units as:
g(x) = f(x + N)
- If N > 0, the shift is to the left.
- If N < 0, the shift is to the right.
Then, if we have:
exp(x - 4) we have a shift of 4 units to the right.
exp (x +9) we have a shift of 9 units to the left.
exp(x) + 7 we have a shift of 7 units up.
exp(x) - 6 we have a shift of 6 units down.
Learn more about translations
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