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Veronika [31]
3 years ago
12

Uestion 6(Multiple Choice Worth 3 points)

Mathematics
1 answer:
jeyben [28]3 years ago
6 0
280 square feet is my answe
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Please answer all please​
Firdavs [7]

Answer:

Step-by-step explanation:

The first parabola has vertex (-1, 0) and y-intercept (0, 1).

We plug these values into the given vertex form equation of a parabola:

y - k = a(x - h)^2 becomes

y - 0 = a(x + 1)^2

Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:

1 = a(0 + 1)^2, and from this we know that a = 1.  Thus, the equation of the first parabola is

y = (x + 1)^2

Second parabola:  We follow essentially the same approach.  Identify the vertex and the two horizontal intercepts.  They are:

vertex:  (1, 4)

x-intercepts:  (-1, 0) and (3, 0)

Subbing these values into y - k = a(x - h)^2, we obtain:

                                            0 - 4 = a(3 - 1)^2, or

                                                -4 = a(2)².  This yields a = -1.

Then the desired equation of the parabola is

y - 4 = -(x - 1)^2

7 0
2 years ago
A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.
Volgvan
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box

----------------------------------------------------
----------------------------------------------------

The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x

Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter). 

The height of the box is x inches due to this portion being folded up. 

Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x

Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed). 

6 0
3 years ago
Read 2 more answers
Which measure is most appropriate to describe the center of the data in the stem-and-leaf plot below?
FrozenT [24]

Answer:

median

Step-by-step explanation:

The centre of every data set is the second quartile/50th percentile/median

3 0
3 years ago
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You have 12 1/3 yards and you need 47 yards how many more yards of fabric do you need
Lady bird [3.3K]

Answer:

34 2/3

Step-by-step explanation:

You need 47 yards. You have 12 1/3

47 - 12 1/3. So we'll break it down.

47 - 12 = 35.

Now, 35 + 12 1/3 would make 47 1/3

So now 35 - 1/3=34 2/3

34 2/3 + 12 1/3 = 47

4 0
3 years ago
Solve for w.<br> 2w + 11 =47<br> Simplify your answer as much as possible.<br> w =
Naya [18.7K]

Answer

w=18

Step-by-step explanation:

5 0
2 years ago
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