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alexandr1967 [171]
3 years ago
11

A quadratic parent function is translated 3 units to the left and 4 units up

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0
The answer would be (x+3)^2+4
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Jenny’s favorite store pays $45 for a new type of spring dress. The store’s percent of markup is 75%. After the markup, how much
nydimaria [60]

Answer:

78.75

Step-by-step explanation:

75% of 45 is  33.75

45+33.75 = 78.75

6 0
3 years ago
An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft 3 . Find the d
denpristay [2]

Answer:

The dimensions of the box that minimize the materials used is 6\times 3\times 2\ ft

Step-by-step explanation:

Given : An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft³.

To find : The dimensions of the box that minimize the materials used ?

Solution :

An open top box is to be built with a rectangular base whose length is twice its width.

Here, width = w

Length = 2w

Height = h

The volume of the box V=36 ft³

i.e. w\times 2w\times h=36

h=\frac{18}{w^2}

The equation form when top is open,

f(w)=2w^2+2wh+2(2w)h

Substitute the value of h,

f(w)=2w^2+2w(\frac{18}{w^2})+2(2w)(\frac{18}{w^2})

f(w)=2w^2+\frac{36}{w}+\frac{72}{w}

f(w)=2w^2+\frac{108}{w}

Derivate w.r.t 'w',

f'(w)=4w-\frac{108}{w^2}

For critical point put it to zero,

4w-\frac{108}{w^2}=0

4w=\frac{108}{w^2}

w^3=27

w^3=3^3

w=3

Derivate the function again w.r.t 'w',

f''(w)=4+\frac{216}{w^3}

For w=3, f''(3)=4+\frac{216}{3^3}=12 >0

So, it is minimum at w=3.

Now, the dimensions of the box is

Width = 3 ft.

Length = 2(3)= 6 ft

Height = \frac{18}{3^2}=2\ ft

Therefore, the dimensions of the box that minimize the materials used is 6\times 3\times 2\ ft

4 0
3 years ago
I do not think A. could represent the function because the equation is backwards. Am I incorrect?
larisa86 [58]

Answer:

Yes you are correct.

Step-by-step explanation:

7 0
3 years ago
What’s the result ????????????????
Mrrafil [7]

Answer:

Option 1

Step-by-step explanation:

You must multiply (2x + 3) by (x + 4). I use the FOIL method.

(2x + 3)(x + 4)

Multiply

2x² + 8x +3x + 12

Simplify

2x² + 11x + 12

To check the answer, you could factor this trinomial back into a pair of binomials.

4 0
3 years ago
Need to be done asap!!! I will give u brainliest if ur right
alisha [4.7K]
The answer is the first one, A
3 0
3 years ago
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