Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of p(x) = –50 + 14x – x2? A.a shift down 1 unit
B.a shift left 7 units
C.a shift right 1 unit
D.a shift up 7 units
Answers
Answer: The correct option is (A) a shift down 1 unit.
Step-by-step explanation: The given functions are:
we are given to select the correct option which gives one of the transformations applied to the graph of f(x) to produce the graph of g(x).
We have
Comparing the equation of p(x) with that of f(x), we conclude that the transformations are
(i) a horizontal shift of 7 units to the right,
(ii) a vertical shift of 1 unit downwards.
So, one of the correct transformations is - a shift down by 1 unit.
The graphs of f(x) and p(x) are attached below.
Thus, (A) is the correct option.
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b. (2n^6)^3 = 2n^18 cubic units
c. 2(n^6)^3 = 2n^18 cubic units
d. 2(n^6)^3 = 6n^18 cubic units
Answers
Answer:
Option A is correct that is cubic units
Step-by-step explanation:
We are given with length of the side of the cube =
We need to find volume of the cube.
We know that Volume of cube = ( side )³
=
=
we use the law of exponent,
=
= cubic units
Therefore, Option A is correct that is cubic units
Answers
Answer:
y=13/4 x -21
or in khan 13/4x - 21
GIMMIE BRAINLIEST OR SOMETHING
Work:
Slope = 5-(-8)/(8-4)
=13/4
So the equation is y=13/4x + b
plug it in and the equation is
y=13/4 x -21
Answer:
13/4 x-21
Step-by-step explanation:
:D
Answers
Where:
C = total cost of printing
x = number of business cards printed
0.5 = variable cost of printing, this cost depends on the number of business card
10 = fixed cost of printing, this cost stays the same regardless of the number of business card printed.
C = 0.5x + 10 ; derive the formula of x.
C - 10 = 0.5x
(C - 10)/0.5 = x
Answer: x = 2C - 20
Step-by-step explanation:
Subtract 10 from both sides of the equation: C - 10 = 0.5x
Divide both sides by 0.5 and simplify:
C - 10
0.5
= x → 2(C - 10) = x → 2C - 20 = x
Finally, interchange the sides of the equation: x = 2C - 20.
Which represents the area of the shaded region?
area of the circle – area of the square – area of the triangle
area of the triangle – area of the square + area of the circle
area of the triangle + area of the square + area of the circle
area of the circle – area of the triangle + area of the square
Answers
The area of the shadedregion is (area of the circle) - (area of the square) - (area of the triangle)
Option A is the correct answer
What is a triangle?
A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The shadedregion consists of the area inside the circle but outside the square, as well as the area inside the equilateral triangle but outside the square.
Now,
The area of the circle is πr²
Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square.
Let's say the side length of the square is s.
By the Pythagorean theorem,
s² + s² = (diameter)²
2s² = (2r)²
s² = r²
The area of the square is s² = r².
The area of an equilateraltriangle with side length s is √(3)/4 x s².
Since the side length of the square is equal to the height of the equilateral triangle, the side length of the equilateral triangle is also equal to s.
The area of the shadedregion.
= (area of the circle) - (area of the square) - (area of the triangle)
Thus,
The area of the shadedregion is (area of the circle) - (area of the square) - (area of the triangle)
Learn more about triangles here:
#SPJ7
Answers
Let Gabrielle's age be = x years
Let Mikhail's age be = y years
As given, Gabrielle's age is two times Mikhail's age
The sum of their ages is 27
Putting x=2y, we have,
y=9
As x+y=27, x=18
Hence, Gabrielle's age is 18 years
Mikhail's age is 9 years.
Gabrielle is 18 and Mikhail is 9
Answers
We have a 2, 0, -1, -1, and -2.
Get rid of duplicates, so 2, 0, -1, and -2.
We're going to want to order those, so -2, -1, 0, and 2.
And put some fancy brackets on that. {-2, -1, 0, 2}
-1 3
0 5
2 8
3
The domain of the relation {(2, 8), (0, 8), (-1, 5), (-1, 3), (-2, 3)} is {-1, 0, 2, 3}.