Answer:
The answer is B.
Step-by-step explanation:
The original graph of y = x^2 has a vertex at (0,0)
The formula for graph translations is y = (x-#)^2+#
The number inside the parentheses is a horizontal translation.
So, we are given y = (x-(-3))^2+#
The vertex of the graph moves 3 points left, since the number is negative (-3).
The number at the end of the equation is a vertical translation.
So, we are given y = (x+3)^2+4
The vertex of the graph moves 4 points up, since the number is positive (4).
The new vertex is at (-3,4)
Answer:
27 hours
Step-by-step explanation:
Let her work "x" hours for paperwork
Since, patrolling amount of hours is THREE TIMES that,
Patrolling = 3x hours
Total Hours = 36
That is including paperhour work (x) and patrolling (3x). So we can setup an equation in x and solve for x first:
x + 3x = 36
4x = 36
x = 36/4
x = 9 hours
Amount of Hours for Patarolling = 3x hours = 3(9) = 27 hours
So, she spends 27 hours patrolling
A. x²-14x+49; is a polynomial
Step-by-step explanation:
(x-7)² can be written as (x-7)(x-7)
Expanding the expression
x(x-7)-7(x-7)
x²-7x-7x+49
x²-14x+49 ⇒⇒A quadratic function, which is a polynomial of degree 2
This function demonstrates the closer property of multiplication in that the change in order of multiplication does not change the product. This is called commutative property.
(x-7)(x-7)
-7(x-7)+x(x-7)
-7x+49+x²-7x
x²-14x+49
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Polynomials :brainly.com/question/9601478
Keywords : product, closure property of multiplication,
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To solve this, set up a proportion. 72/21.6=110/x Cross multiply. 72x=2376. Solve x=33