Answer:
-3
Step-by-step explanation:
Answer:
The inverse is y = x + 5
Step-by-step explanation:
The general equation of a straight line is;
y = mx + c
In this case , the y-intercept is -5
So the partial equation is;
y = mx - 5
To get m, we use the x-intercept
The x-intercept coordinate is (5,0)
Insert this in the equation , we have;
0 = 5m-5
5m = 5
m = 5/5
m= 1
The equation of the line is thus;
y = x-5
So we want to find the inverse of this;
Replace x with d
y = d-5
Make d the subject of the formula
d = y + 5
replace d with x
x = y + 5
now replace x with y
So we have
y = x + 5
Answer:
Step-by-step explanation:
Here you go mate
Step 1
6x-8=5x+4 Equation/Question
Step 2
6x-8=5x+4 simplify
6x-8=5x+4
Step 3
6x-8=5x+4 Subtract
x-8=4
Step 4
x-8=4 Add 8
answer
x=12
Hope this helps
Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:

In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:

The sum of the first n terms of an arithmetic sequence is given by:

In this question:

We want the sum of the first 37 terms, so we have to find 




Then

The sum of the first 37 terms of the arithmetic sequence is 2997.
Answer:
4 dozens
Step-by-step explanation:
<em>Find Eleanor and Joanna's ratio of eggs to milk</em>
Eleanor:
<em>Dozen eggs : gallons of milk</em>
9 : 3
3 : 1
Joanna:
<em>Dozen eggs : gallons of milk</em>
2 : 2
1 : 1
<em>They gather one gallon of milk each which means Joanna has 1 dozen eggs and Eleanor has 3 dozens of eggs.</em>
Total dozen of eggs = 3 + 1 = 4
Therefore, total dozen of eggs the family have per week is 4 dozens.