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3 years ago

Which of the number(s) below are potential roots

Mathematics

1 answer:

Gnom [1K]3 years ago

8 0

Answer:

+1 is the potential root of the function.

Step-by-step explanation:

Given;

p(x) = x⁴ + 22x⁴ – 16x - 12

A potential root of the function is zero of the function. That is a potential root will reduce the function to zero or close to zero.

To determine this, we test each of the root given;

p(6) = (6)⁴ + 22(6)⁴ - 16(6) - 12 = 29700

p(3) = (3)⁴ + 22(3)⁴ - 16(3) - 12 = 1803

p(1) = (1)⁴ + 22(1)⁴ - 16(1) - 12 = -5

p(8) = (8)⁴ + 22(8)⁴ - 16(8) - 12 = 94068

The only number that reduces the function close to zero is +1, then +1 is the potential root of the function.

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Find the LCM of 18 and 45 using prime factorizations.

Valentin [98]

Answer:

The L.C.M. of 18 and 45 is 90.

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2 years ago

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Which values of X are solutions to the inequality

Natasha_Volkova [10]

Answer:

The third answer choice

Step-by-step explanation:

-3(x+2) < 5x+10

-3x-6 < 5x+10

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2 years ago

I don’t get this..please help!

Maslowich

Answer:

OPTION 1

Step-by-step explanation:

You just basically plug in x and y values in all the equations and check if you get the same answer each time.

Option 1 is correct because when you plug in let's say the first coordinates,10 and 4 it does give you 6 which is right.

Or you can test it the other way, just plugging in x values and see if you get the right y value for it shown above in the table.

Hope this helps!

3 0

3 years ago

Sketch the graph of y =sine3x

IgorLugansk [536]

The graph of $\mathbf{y=\sin{3x}}$ is given by,

Here given the function is $y=\sin{3x}$

when $x=0\Rightarrow y=\sin{3\times 0}=\sin0=0$ , then it passes through the origin (0,0).

When $x=\frac{\pi}{6}\Rightarrow y=\sin{3\times\frac{\pi}{6}}=\sin\frac{\pi}{2}=1$

Since we know that, $-1\leq\sin{x}\leq1,\forall x$ , then the function has maximum height at $x=\frac{\pi}{6}$ .

Again when $x=\frac{\pi}{3}\Rightarrow y=\sin{(3\times\frac{\pi}{3})}=\sin\pi=0$ , again the function is 0.

So clearly the function is the Oscillating function.

Using graphing calculator we get the graph of function $y=\sin3x$ ,

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8 0

1 year ago

A band sells tickets to a concert cost either $15 for adults or $10 for students. A total of 150 tickets are sold. If the band m

kodGreya [7K]

Answer:

Number of adult tickets sold= 100

Step-by-step explanation:

Giving the following information:

Adults tickets= $15

Student tickets= $10

Number of tickets sold= 150

Total sales= $2,000

First, we determine the systems of equations:

15*x + 10*y= 2,000

x + y = 150

x= number of adults tickets sold

y= number of students tickets sold

Now, we isolate x in one equation, and substitute it in the other one:

x= 150 - y

15*(150 - y) + 10y = 2,000

2,250 - 15y + 10y = 2,000

250 = 5y

50= y

x= 150 - 50

x= 100

Prove:

15*100 + 10*50= 2,000

100 + 50 = 150

3 0

3 years ago

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