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bixtya [17]
3 years ago
12

There are nine water bottles in Devin’s refrigerator. He adds three full boxes of water bottles to the refrigerator. Then he add

s two more boxes that each have 1 fewer bottle than a full box. When he is done, there are 67 bottles in the refrigerator. Write and solve an equation to find the number of bottles in a full box.
Mathematics
1 answer:
Svetllana [295]3 years ago
7 0

Answer:

idk

Step-by-step explanation:

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If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function
Naddik [55]

Answer:

The equation of the new function is g(x) = \frac{\sqrt{x}}{2}

Step-by-step explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left

In this question:

f(x) = \sqrt{x}

Vertically compressing by 1/2:

This is the same as multiplying the function by 1/2. So

\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}

The equation of the new function is g(x) = \frac{\sqrt{x}}{2}

7 0
3 years ago
The surface area of a cube is 1,014^2. Find the volume of the cube.
Marta_Voda [28]
Let the length of one side of the cube be x.  Then the surface area of the cube is A = 6x^2 = 1014 cubic units.  We want the cube volume, so must first solve for x and then cube the result:
       
                               1014 cu. in.
x = square root of  ----------------- = sqrt(169) = 13
                                        6

The volume of this cube is thus (13 units)^3 = 4826809 cubic units.
7 0
3 years ago
How many solutions exist for the given equation? (x + 12) = 4x - 1 o zero infinitely many ​
nalin [4]
Time of the 20 to the x then get 420
6 0
3 years ago
Four brothers each bough two hot dogs and a bag of chips at the football concession stand if the bag of chips was $1.25 and the
maw [93]

Answer:

$1.65

Step-by-step explanation:

1.25 x 4 = 5.00

18.20 - 5.00 = 13.20

13.20 / 8 = 1.65

they bought 8 hotdogs because there is 4 brothers and each ate 2 so 4 x 2 = 8

6 0
3 years ago
How many triangles are there in this shape
ICE Princess25 [194]

Answer:

The answer is 15

Step-by-step explanation:

Count the small triangles then the whole they make up

6 0
3 years ago
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