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3 years ago

(03.03) How does the graph of f(x) = (x – 9)^4-3 compare to the parent function g(x) =x^4?

Mathematics

1 answer:

Dima020 [189]3 years ago

6 0

Answer:

Step-by-step explanation:

The child graph is shifted 9 units to the right. That's what the nine does. The graph also shifts 3 units down when compared to g(x).

I have put a graph in so that you can see the shifts for yourself.

The red line is g(x) = x^4

The blue line is f(x) = (x - 9)^4 - 3

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A cylinder has a volume of 90pi and a radius of 3. what is the height?

kykrilka [37]

Step-by-step explanation:

volume of cylinder=90π
πr²h=90π
3²h=90
9h=90
h=90/9
h=10

hope it helps.

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2 years ago

Find out if the 3 positions are on the same line or not (3,2,0) (1, -1,2) (5,5, 2)

sattari [20]

Answer:

The three positions are not on the same line.

Step-by-step explanation:

We have three points: A:(3,2,0), B:(1,-1,2) and C:(5,5,2).

Let's build a vector that goes from one point to another; that vector will be the director of a line (if we draw a vector that goes from A to B, that vector will be the direction of the line that pass by A and B because it does not change). In order to build that vector, let's subtract B from A:

$A-B=(3,2,0)-(1,-1,2)=(2,3,-2)$

The equation of a line is:

$p=p_0+rt$

Where p is every singular point of the line, $p_0$ is a particular point of the line (any that we are sure that it is on the line), r is the director vector and t is the independent variable.

Now we have the director vector: (2,3,-2), and we can verify that A and B are on the line:

$p=p_0+(2,3,-2)t$

Because there is a value for t that satisfies both A and B: If we do $p_0=(3,2,0)$ and t=0, we are going to obtain the point p=A; and if we do t=-1, we are going to obtain p=B. Let's see that:

$p=(3,2,0)+(2,3,-2)*0=(3,2,0)\\p=A\\p=(3,2,0)+(2,3,-2)*-1=(1,-1,2)\\p=B\\$

If C is also in the same line, C must accomplish the equation: $p=(3,2,0)+(2,3,-2)t$ , so:

$C=(5,5,2)=(3,2,0)+(2,3,-2)t$

Let's simplify the equation writing the parametric equation, which is just to write the equation for each dimension:

$5=3+2t\\5=2-3t\\2=-2t\\$

You can verify that there is not a value of t that satisfies all three equations, so, the point C is not on the same line as A and B; which means that A, B and C are not on the same line.

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2 years ago

Which expression represents the following calculation?

alexdok [17]

SORRY IM LATE

TRY 5814

:]
please mark brainliest! <3

3 0

2 years ago

Please help me ASAP!!

Sati [7]

The answer is D, i.e. the system was solved via elimination

If you multiply the first equation by 5, the system becomes

$\left \{ {{-5x-10y=35} \atop {5x-6y=-3}} \right.$

If you sum the two equations, you get

$-16y = 32$

And so if you substitute the second equation of system A with this new equation, you'll get system B.

3 0

2 years ago

Jensen is building a snow fort. Each block in the fort weighs about 1 kilogram. Jensen hopes to make about 40 blocks for the for

babymother [125]

Answer: 13,333 snowflakes

Step-by-step explanation:

For this exercise let be "x" represents the number of snowflakes that will be in the fort.

According to the information given in the exercise, the weight of one block is 1 kilogram. Knowing that the fort must have 40 blocks, the total weight is:

$total\ weight=(1\ g)(40)\\\\total\ weight=40\ g$

Since each snowflake weighs $3* 10^{-3}$ grams, need to divide the total weight calculated above by the weight of a snowfake.

Therefore, through this procedure you get the following result:

$x=\frac{40\ grams}{3 * 10 ^{-3}\ grams}\\\\x\approx13,333$

Therefore, the there will be 13,333 snowflakes in the fort.

5 0

3 years ago