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balandron [24]
3 years ago
9

Is y=(x+3)^3 a function?

Mathematics
1 answer:
disa [49]3 years ago
3 0

Answer: Yes

Step-by-step explanation:

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Tony runs 3 miles in 25 minutes. at the same rate, how many miles would he run in 20 minutes?
liberstina [14]

Answer:

2.4

Step-by-step explanation:

3 / 28 = 0.12

(we do this to see how many miles he ran in a minute)

0.12 x 20 = 2.4

(then we multiply how many miles he can run in 20 minutes)

3 0
2 years ago
Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
Feliz [49]

Answer:

16 sweets

Step-by-step explanation:

Number of sweet that Sekhar had = x

Sweets given to Renu = (1/4) of x = \frac{1}{4}x

Sweets given to Raji = 5

Remaining sweets = 7

x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16

6 0
2 years ago
Please help me with my homework idk if it is right or wrong
jeka57 [31]
Q1: 7×6 = 42
Q2: 42×1/8 = 42/8 = 5.25 (5 1/4) in^3
Q3: (0.5)^3 = 0.5×0.5×0.5 = 0.125 m^3
Q4: 4(5/2)^2 = 4×5/2×5/2 = 4×25/4 = 25 in^3
Q5: 3(13/2)(3/2) = 117/4 = 29.25 (29 1/4) in^3
Q6: (0.9)^3 = 0.729 cm^3
6 0
3 years ago
8-37 better than or equal to 29
Zina [86]

The statement that 8-37 greater than or equal to 29 is false and the correct statement is 8 -  27 is less than 29

<h3>What is an inequality?</h3>

An inequality can be defined as a relation which makes an unequal comparison between two numbers or mathematical expressions.

It is used most often to compare two numbers on the number line by their size

The information given be represented as;

8 - 37\geq 29

Now, let's find the difference from the left side

We have;

- 29\geq 29

From this, we can see that the statement is wrong as - 29 is neither greater than or equal to 29

The correct statement should be; 8 -  27 is less than 29

Thus, the statement that 8-37 greater than or equal to 29 is false and the correct statement is 8 -  27 is less than 29

Learn more about inequalities here:

brainly.com/question/24372553

#SPJ1

5 0
2 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
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