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worty [1.4K]
3 years ago
9

Which of the following graphs could be the graph of the function f(x) = x3 + 8?

Mathematics
2 answers:
Gelneren [198K]3 years ago
6 0

It seems you missed to upload graphs given with the question. So i will draw the graph myself then explain the answer.


f(x)=x^3+8 is the given function which is created from parent function f(x)=x^3

Graph of x^3 is like graph of any odd degree function which starts from bottom and goes to top because of positive leading coefficient.

then there is +8 which means parent function is shifted 8 units upward.


You may directly plug some numbers to find points on f(x)=x^3+8 then join those points to get the graph easily.


like we can use numbers x=-2,-1,0,1,2,...

I will show you calculation for x=-2

f(-2)=(-2)^3+8=(-2)(-2)(-2)+8=-8+8=0

Hence first point is (-2,0)

Similarly you can find more points then use them to find the final graph as shown in attached picture.


uysha [10]3 years ago
4 0

Graph: A on EDGE.

Crosses Y-Axis at (0,8)

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What is 16,700,000,000,000,000 estimated as the product of a single digit and a power of 10?
True [87]
For short you call this scientific notation. 
FIRST
Count how many time you need to move the decimal over to make your single digit more then 1 and less then 10. So we will erase the 0's as we go along.
167000,000,000,000
So in this case we want to make the single digit 1.67 so it can be greater then 1 and less then 10
So now we see how many times we need to move the decimal and when you cant see the decimal just imagine it at the very end of the problem
167000,000,000,000
(For the mods out there I copied and pasted the bold number so i didn't have to take a while to retype the whole number. Thanks.)
SO NOW I get 14 because that's how many spots the decimal moved over.
Now since we need to right it in SN we need to write out this
X*10^X
The exponent X stands for how many times we moved the decimal over. I got 14 so we have that exponent
X*10^14
NOW We need to fiqure out X.... X was just the number we made greater then one and less then 0.
So thats 1.67
So we get
1.67*10^14

Did this help? <3
4 0
3 years ago
A cardboard box without a lid is to have a volume of 19,652 cm3. Find the dimensions that minimize the amount of cardboard used.
Effectus [21]

Answer:

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

Step-by-step explanation:

Let the dimension of the cardboard box be x cm by y cm by z cm.

The surface area of the cardboard box without lid is

f(x,y,z)= xy+2xz+2yz.....(1)

Given that the volume of the cardboard is 19,652 cm³.

Therefore xyz =19,652

\Rightarrow z=\frac{19652}{xy}......(2)

putting the value of z in the equation (1)

f(x,y)=xy+2x(\frac{19652}{xy})+2y(\frac{19652}{xy})

\Rightarrow f(x,y)=xy+\frac{39304}{y})+\frac{39304}{x}

The partial derivatives are

f_x=y-\frac{39304}{x^2}

f_y=x-\frac{39304}{y^2}

To find the dimension of the box set the partial derivatives f_x=0 and f_y=0.Therefore y-\frac{39304}{x^2}=0

\Rightarrow y=\frac{39304}{x^2}.......(3)

and   x-\frac{39304}{y^2}=0

\Rightarrow x=\frac{39304}{y^2}.......(4)

Now putting the x in equation (3)

y =\frac {39304}{(\frac{39304}{y^2})^2}

\Rightarrow y=\frac{y^4}{39304}

\Rightarrow y^3= 39304

⇒y=34 cm

Then \Rightarrow x=\frac{39304}{34^2} =34 cm.

Putting the value of x and y in the equation (2)

z=\frac{19652}{34 \times 24}

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The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

4 0
3 years ago
8th grade math, please help.
Anastasy [175]

Answer:

V = 15/4π = 3.75π

Step-by-step explanation:

V=πr^2h

V=π(1/2^2)15

V=π(1/4)15

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5 0
3 years ago
Solve each system of equations by substitution:<br> X + Y = 75<br> 10x + Y = 48
Nimfa-mama [501]

Answer:

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Y=78

Step-by-step explanation:

A:       X+Y=75

B:       10X+Y=48

B-A:   (10X+Y)-(X+Y)=48-75

          10X+Y-X-Y= - 27

                       9X=-27

                         X= -3;

Now

A is :     -3+Y=75

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6 0
3 years ago
Find cos(2θ) if tan(θ) = -3/4 and 90 &lt; θ &lt; 180
Vaselesa [24]

Answer:

9

Step-by-step explanation:

3 0
3 years ago
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