Answer:
y=2x-2
Step-by-step explanation:
We already know the slope so now we need to find the y-intercept.
See attached file.
Answer:18
Step-by-step explanation:
Just count the square
Answer:
y = 1/5 x + 12/5
Step-by-step explanation:
We are looking for the equation of a line.
We satart with the slope-intercept form of the equation of a line.
y = mx + b
We need to find m, the slope, and b, the y-intercept.
The given line is y = 1/5 x - 3.
Its slope is 1/5.
Parallel lines have equal slopes, so the slope we need is also 1/5.
Now we have for our line
y = 1/5 x + b
Now we find b.
We are given a point on the line, (-2, 2). Using the slope we already know, plug in (-2, 2) in the equation and solve for b.
2 = 1/5 * (-2) + b
10 = -2 + 5b
12 = 5b
b = 12/5
Now that we know the y-intercept, we can write the equation of the line.
y = 1/5 x + 12/5
Answer:
There are 26 students in the class
Step-by-step explanation:
Let n millilitres be the solution in the beaker
Let x be the number of students in a class
He gives 3 millilitres of solution to each student . He will have 5 millilitres left over.
So, Solution distributed = 3x
Remaining solution = n-3x
So, n-3x = 5 ----1
In order to give each student 4 millilitres of solution, he will need an additional 21 millilitres.
So, n-4x=-21 -----2
Substitute the value of n from 1 in 2
So, 5+3x-4x=-21
5-x=-21
26=x
Hence There are 26 students in the class
We are given the following information:
the sum of the first number cubed and the second number is 500
their product is a maximum
We are looking for the 2 missing numbers.
To answer this, let's represent the two numbers as x and w.
From the given, we can form the following equation:

We can then express y as:

We can express their product as:

To find the maximum value of x, let's solve for the derivative of -x^4 + 500 x.

Then we solve for the value of x where f'(x) = 0.

Then we use x = 5 to solve for the second number, w.

Therefore, the two numbers are 5 and 375.