Answer:
$32.3
Step-by-step explanation:
First write 30% in the decimal form
30/100 = 0.3
than the equation written in the form
x = 19 + (19 - 0.3× 19)
x = 19 + ( 19 - 5.7)
x = 19 + 13.3
x =$ 32.3
So, Kate will pay $32.3
Answer: the length is 87 feet
The width is 40 feet
Step-by-step explanation:
Let L represent the length of the playing field.
Let W represent the width of the playing field.
The playing field is rectangular. The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of a playing field for a certain sport is 254 ft. This means that
254 = 2(L + W)
L + W = 254/2
L + W = 127 - - - - - - - - - - - -1
The length is 47 ft longer than the width. This means that
L = W + 47
Substituting L = W + 47 into equation 1, it becomes
W + 47 + W = 127
2W + 47 = 127
2W = 127 - 47 = 80
W = 80/2 = 40
L = W + 47 = 40 + 47
L = 87
Answer:
x = 20
Step-by-step explanation:
these are vertical angles and vertical angles are congruent
3x+50 = 6x-10
3x = 6x - 60
-3x = -60
x = 20
Foils stands for first, outer, inner, last.
For example:
(3x + 5)(2x + 3)
Multiply the firsts together.
3x * 2x = 5x²
Now multiply the outer together.
3x * 3 = 9x
Now multiply the inners.
5 * 2x = 10x
Now multiply the lasts.
5 * 3 = 15
so the answer would be:
5x² + 9x + 10x + 15
5x² + 19x + 15
Hope this helps :)
The <em>correct answer</em> is:
A) There is a vertical shift of n units.
Explanation:
When a parent function is transformed, each type of transformation results ina different change in the graph.
The parent function in this question is f(x) = sin(x).
Adding n units to the end of this function would result in f(x) = sin(x) + n.
When a function is transformed by adding a constant to the end of a function results in a vertical shift by that number of units. In this case, it would be a vertical shift n units.
