Answer:
The independent variable is s and the dependent variable is r
Step-by-step explanation:
r = 5s+3
The independent variable is s and the dependent variable is r
Since
is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.
So, if we think of 15 as 9+6, we have

Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).
Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.
To solve for x, you must first understand how the median was calculated out of the given set of numbers. Without looking at the given median value, we can see that we cannot get the median by process of elimination since there are an even amount of numbers in this particular set. Therefore, we must average the two closest values to what should be the median.
In this case, the values are "45" and "x". If we pretend that we know the value of the variable "x" (for example we will pretend that x is 55), then we should have an equation that looks like this: (45+55) ÷ 2 = [median]. What this equation is doing is adding the two closest values to the median (45 and 55) and dividing it by 2, the number of values we are averaging. Now we can solve this equation and simplify it to 100 ÷ 2 which is 50, our median.
So if they give us the median instead of the x value, then we can rewrite the equation to fit your request: (45+x) ÷ 2 = 51. Now we can solve for x:
1. Multiply by 2
(45+x) = 102
2. Subtract 45
x = 57
The x value for your question is 57.
Answer:
2400 lbs
Step-by-step explanation:
To find the best estimate, you have to round the numbers to the nearest ten.
39 -> 40
58 -> 60
40 x 60 = 2400
3/4 times 7/9:
First, we must use the rule for multiplying fraction. The rule is: a/b times c/d = ac/ bd. Let's substitute our problem into that formation.

Second, we can now simplify. (3 times 7 = 21) and (4 times 9 = 36).

Third, since our fraction is not in the simplest form, we can simplify it down by listing the factors of both the numerator and denominator and then finding the greatest common factor (GCF).
Factors of 21: 1, 3, 7, 21
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
The GCF is 3, since only 1 and 3 were the common factors and since 3 is the greatest common factor.
Fourth, now we can divide our numerator (21) and denominator (36) by our recently found GCF which was 3.

Our new fraction in its simplest form is 7/12.
Answer in fraction form:

Answer in decimal form: