Answer:
f(x) has moved:
4 units in the positive y direction i.e upwards
3 units in the positive x direction
Step-by-step explanation:
to get g(x), f(x) has undergone the following transformations
f(x) = x³
f1(x) = x³ + 4 (translation of 4 units in the positive y direction i.e upwards)
f2(x) = g(x) = (x-3)³ + 4 (translation of 3 units in the positive x direction i.e towards the right)
Answer:
3/5 of the students in the class are not in accounting majors
Step-by-step explanation:
The total number of males in the class is 3/8
3/5 of them are accounting majors
The ones who are not in accounting majors are;
3/8 - 3/5 = 9/40
The total number of female students in the class is;
8/8 - 3/8 = 5/8
1/4 of them are accounting majors
The ones who are not in accounting majors are;
5/8 - 1/4 = 3/8
Total number of students not in accounting majors;
9/40 + 3/8
= 24/40
= 3/5
Answer:
The answer is 61.4 L
Step-by-step explanation:
Using the formula of cuboid, V = l×b×h, to find the total amount of water contained :
l = 120cm
b = 40cm
h = 15cm
V = 15×120×40
= 72 000cm³
= 72 L
It is given that she uses 10.6L for shower. Then calculate the remaining water by substracting 10.6L from the original amount of water :
remaining = 72 - 10.6
= 61.4 L
The linear function that goes through the points (2,-4) and (-4,2) is:
y = -x + 2.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
A linear function going through the points (2,-4) and (-4,2) would intersect the parabola at these points, hence these points would be the solution for the system of equations.
The slope of the line is:
m = (-4 - 2)/(2 - (-4)) = -1.
The line goes through point (2,-4), that is, when x = 2, y = -4, which we use to find the y-intercept b.
y = -x + b
-4 = -2 + b
b = -2.
Hence the equation is:
y = -x + 2.
More can be learned about linear functions at brainly.com/question/25537936
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