Answer:
x=64
y=54
Step-by-step explanation:
3x+4y=24 4(24-4y\3)+3y=22
x=24-4y/3 96-12y\3+3y=22
x=24-4(54)/3
x=-64 96/3-22=3y/3
y=54
y = (2/3)x + 6
because the slope stays the same because it is parallel and to get the y intercept you plug in -3 for x into the equation (2/3)x +? =4 and ?=6 so that gives you the equation y = (2/3)x + 6
Answer:
Step-by-step explanation:
so f-1(x) means we are finding the inverse
f(x) = 3x - 7.....change f(x) to y
y = 3x - 7.....now switch ur x and y and solve for y
x = 3y - 7....add 7 to both sides
x + 7 = 3y...divide both sides by 3
(x/3) + 7/3 = y....rearrange
y = (x/3) + 7/3....can also be written as : y = 1/3x + 7
now just change ur y to f-1(x)
f-1(x) = x/3 + 7/3.....or f-1(x) = 1/3x + 7/3
Answer:
1) 20 stars; 30 points.
2) 28 stars, 42 points.
3) 38 stars, 57 points.
Step-by-step explanation:
<h3>
The missing table is attached.</h3>
Let be "x" the numbers of stars Roberto collects and "y" his total points.
The proportional relationship has this form:

Where "k" is the constant of proportionality.
We can choose the point
) from the table, where:

Substituting these values into
and solving for "k", we get:
Knowing the value of "k", we determine that the following Numbers of stars and the Total points could be used as the missing values in the table:
1) For
:

2) For
:

3) For
:

C, her results are very close to one another