What value represents the vertical translation from the graph of the parent function f(x) = x2 to the graph of the functiong(x) = (x + 5)2 + 3?
Answers
For this case we have that the parent function is given by:
We apply the following function transformations:
Horizontal translations:
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left:
For h = 5 we have:
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
For k = 3 we have:
Answer:
The value represents the vertical translation from the graph of the parent function is:
3
Answer:
3 is the right answer on ENG 2022
Step-by-step explanation:
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Points B and C lie on a circle with center O and radius r = 5 units. If the length of BC is 10.91 units, what is m∠BOC in radians? Use the value π = 3.1416, and round your answer to three decimal places.
Answers
First simplify the right side by combining like terms.
Since both terms contain an x, you can add them together.
So x + 5x simplifies to 6x.
So our equation now reads 2(x - 8) = 6x.
Solving from here, distribute the 2 through the
parentheses on the left side of the equation.
2(x) is 2x and 2(-8) is -16.
So we have 2x - 16 = 6x.
Now move the 2x to the right side by subtracting 2x from both sides.
This gives us -16 = 4x.
Now just divide both sides by 4 to get -4 = x.
Answer:
x = -4
Step-by-step explanation:
To find the value of x that makes a certain equation true means to solve the equation. You do this by rearranging the equation to make x the subject.
So,
2(x-8) = x+5x
2x - 16 = 6x
-16 = 6x-2x
4x = -16
x = -4
Hope this helps.
Answers
Answer:
v = 8
Step-by-step explanation:
- Solve for v -3v+11=-8v+51 Simplify your answer as much as possible.
-3v + 11 = -8v + 51
-3v + 8v = 51 - 11
5v = 40
v = 40 : 5
v = 8
--------------------------
- check
-3(8) + 11 = -8(8) + 51
-24 + 11 = -64 + 51
-13 = -13
Answers
Answer:
30% increase
Step-by-step explanation:
subtract original quantity from new quantity: 13 - 10 = 3
divide the difference by original quantity: 3/10 = 0.30
convert that result to percentage by moving decimal place over twice to the right.
You're done! Answer = 30%
Answer:
30%
Step-by-step explanation
13 is a 30% increase of 10.
Answers
Answer:
- cylinder — 90π in³
- pyramid — 37 1/3 in³
- cone — 12.5π in³
Step-by-step explanation:
The volume of a cylinder is given by ...
V = Bh . . . . . where B is the base area and h is the height
The volume of a pyramid or cone is given by ...
V = (1/3)Bh . . . . . where B is the base area and h is the height
The area of a square of side length s is ...
A = s²
The area of a circle of radius r is ...
A = πr²
___
Using these formulas, the volumes of these objects are ...
cylinder: (9π in²)(10 in) = 90π in³
square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³
cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid
Answer:
12.5
Step-by-step explanation:
Answers
.06 is same as 6 without decimal point. And smallest place value is hundredth's (second place to right of decimal point),
so .06 = 6/100
now reduce (divide top & bottom by 2 to get)
3/50
hope that helps.
Answers
Answer:
The Graph D) is correct
Step-by-step explanation:
Let, x be length of cube and y is volume of cube
The volume of cube is given by
Volume =
Such that, all the sides of cube are equal
We can write as y=
Thus, The Graph D) is correct