Answer: $13.74
Step-by-step explanation:
The students have already raised $189.32 so 491.60-189.32= 302.28 is the remainder the 22 students must raise in order to final an equal amount each individual student must make divide your remainder (302.28) by the number of students (22)
Answer:
Thus, the value of x = -36 when y = 15
Step-by-step explanation:
We know that if y varies directly with x, we can express the relationship such as
y ∝ x
y = kx
k = y/x
where 'k' is called constant of variation.
Given
y = -5
x = 12
Using the equation
k = y/x = -5/12
Thus, the value of k = -5/12
Finding x when y = 15
y = 15
k = -5/12
substituting y = 15 and k = -5/12 in the equation
y = kx
15 = -5/12 (x)
15×12 = -5x
180 = -5x
divding both sides by -5
-5x/-5 = 180/-5
x = -36
Thus, the value of x = -36 when y = 15
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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Answer:
The constants are -15 and 9
Step-by-step explanation:
Constants are those numerical values that will never change, despite the value of x. The easiest way to find them are by finding those numbers that are not affecting x in any way.
Answer:
2^4
Step-by-step explanation:
2*2*2*2
There are four 2's multiplied together
2 is the base and 4 is the exponent
2^4
