Answer:
(x, y, z)
(5,-2,3)
Step-by-step explanation:
try plugging those into the equation.
just to make sure I was correct.
Answer:
Step-by-step explanation:
Hooke's Law applies here, which is a linear relationship. It would be easier to solve this using proportions with N of force on the top and the amount of stretch in cm on the bottom. Set up with our unknown, the number of cm:
and cross multiply:
20x = 300 so
x = 15 cm
We are given the equation of a line
y = -2x + 1
We have to find the value of y at three different values of x i.e. x = 0, -3 and 1
In order to find the value of y at any given x, simply replace x by that number.
So, for x=0, we will replace x by 0 to find the value of y. So y will be:
y = -2(0) + 1
y = 1
This can be expressed as an ordered pair as (0,1)
Similarly for x=-3, we get
y = -2(-3) + 1 = 6 + 1
y = 7
This can be expressed as an ordered pair as (-3, 7)
And, finally for x=1, we get:
y= -2(1) + 1 = -2 + 1
y = -1
This can be expressed as an ordered pair as (-1, -1)
Answer:
Step-by-step explanation:
Write down the slope-intercept form:
Where m is the slope and b is the y-intercept.
To turn the equation into slope-intercept form, isolate y on the left-hand side:
Rearrange the equation a bit:
<h3>Answer:</h3>
<h3>Explanation:</h3>
The prime factorization of 100 is ...
... 100 = 2²×5²
The exponents of these factors are 2 and 2. Adding 1 to each of them and finding the product of those sums, we have ...
... (2+1)×(2+1) = 9
The number of divisors of 100 is 9. They are ...
... 1, 2, 4, 5, 10, 20, 25, 50, 100
Of these, 2, 4, 10, 20, 50, 100 are divisible by 2. That is, 6 factors of 100 are multiples of 2.
There are no multiples of 3 that are factors of 100, since 3 is not one of the prime factors.
