Answer:
The answer to your question is: 35 yd²
Step-by-step explanation:
To solve this problem, just find the data, the formula, substitute the values in the formula and find the result.
Data
Square yards = ?
Length = 21 ft
Width = 15 ft
Formula
Area of a rectangle = length x width
Substitution
Area of a rectangle = 21 ft x 15 ft
Area of a rectangle = 315 ft²
Area of a rectangle = square yards of carpet
Finally, convert ft² to yd²
315 ft² = 35 yd²
Result
Square yards of carpet = 35 yt²
Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Step-by-step explanation:
Remember, a quadratic function which has roots x = a, and x = b, can be written as:
p(x) = A*(x - a)*(x - b)
Where A is the leading coefficient. This is the factorized form of a quadratic.
We have the function:
f(x) = (x - 3)^2
Now, we could rewrite this as:
f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)
Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)
Then the only root of f(x) is x = 3.
Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:
A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
On a map, they would be 7 inches apart, if that's what you're asking.
Answer:
The square root of 245 is a rational number
Step-by-step explanation:
The square root of 245 is about 15.9, or rounded: 16. 16 is not an irrational number.
Part A: the data represent a function because for each value of x, there is a unique value of y.
Part B: from the table, when x = 7, y = 8. from the function f(x) = 2x + 13, f(7) = 2(7) + 13 = 14 + 13 = 27.
Hence f(x) = 2x + 13 has a greater value when x = 7.
Part c: f(x) = 2x + 13 = 75
2x = 75 - 13 = 62
x = 62/2 = 31
