Answer: I think it is f(x)=1/(x-4)
Step-by-step explanation:
By taking f(x), and applying a left or right and/or up or down transformations to it, the function could be written using the equation f(x-h)+k.
Doing so will make the graph of the function move h units to the left or right. (Positive or negative) (make sure the operation before the h is subtraction when determining the sign of h)
Also, when finding k (up and down) (positive or negative) apply this function.
f(x)=(x-h)+k
As a result, plug in your right 4 units as h, and since you are not needing to move up or down k would be 0. So, f(x)=1/(x-(4))+0 or simplified, f(x)=1/(x-4)
Answer: y = 3x + 6
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = 3x - 4
Comparing with the slope intercept form, slope = 3
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (-2, 0) is 3
To determine the intercept, we would substitute m = 3, x = - 2 and y = 0 into y = mx + c. It becomes
0 = 3 × - 2 + c = - 6 + c
c = 0 + 6 = 6
The equation becomes
y = 3x + 6
Answer:
67 cm
Step-by-step explanation:
We are given the initial height of the plant let's call it H.
H = 54 cm. This is the original height of the plant at M(months) = 0.
We are given that it grows at 1 cm/month. This is the rate of growth.
Rate = 1
Time (M) is given in Months.
So when M = 0, H = 54
Let's say M = 1, That is one month has passed. In this time the plant's height would have increased by 1 cm. So our plant's height would be H = 54+1 = 55 cm.
When Two months have passed our plant's height would be H = 54 + 2 = 56 cm , since every month our plant gains 1 cm in Height, we can make a fuction for this.
H = 1M + 54.
Now we just plug in 13 for M, to get 13 months.
H = 13 + 54
H = 67 cm
So our plant would be 67 cm in height after 13 months.
no bc once multiplied it equald 0.18
Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
