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kupik [55]
2 years ago
15

Use the remainder theorem to find P(2) for P(x) = x^4 - 3x^3 - 6x^2 + 9 .

Mathematics
1 answer:
kramer2 years ago
4 0

Step-by-step explanation:

soln;

given; p(x) = x^4 - 3x^3 - 6x^2 + 9

using remainder theorem;

p(x) = p(a)

      = p(2)

      = (2)^4 - 3(2)^3 - 6(2)^2 + 9

      = -23

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Please just give me a good explanation on how to reflect the x-axis and y-axis so I can learn it on my own as well as answering
MrMuchimi

Answer:

Alright! BTW, the answer to the question is D :)

Step-by-step explanation:

Reflecting across the x-axis, the x-coordinate ALWAYS remains the same, but the y-coordinate is transformed into its opposite. If you forget this, fold along the x line, and you should be able to figure it out. Reflecting across the y-axis, the y-coordinate ALWAYS remains the same, but the x-coordinate is transformed into its opposite. If you forget this, fold along the y line, and you should be able to figure it out.

Hope I helped!

6 0
2 years ago
Adam sold 40% of the 70 chocolate bars he has to sell for his school fundraiser. How many does Adam still have to sell? Provide
Karolina [17]

Answer:

C

Step-by-step explanation:

Given that he has sold 40% then he still has to sell (100 - 40)% = 60%

60% of 70

= \frac{60}{100} × 70 = 0.6 × 70 = 42 → C

8 0
3 years ago
What is the answer to Q=1/2p+15, for p​
Mazyrski [523]

Answer: Q=1/2p+15,= p=2q-30= Slope = 1.000/2.000 = 0.500

 p-intercept = -30/1 = -30.00000

 q-intercept = 30/2 = 15

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    p-(2*q-30)=0  

Solve   p-2q+30  = 0

we have an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  p-2q+30  = 0 and calculate its properties

Notice that when p = 0 the value of q is 15/1 so this line "cuts" the q axis at q=15.00000

 q-intercept = 30/2  =  15

When q = 0 the value of p is -30/1 Our line therefore "cuts" the p axis at p=-30.00000

 p-intercept = -30/1  = -30.00000

Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is 15.000 and for p=2.000, the value of q is 16.000. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 16.000 - 15.000 = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.000/2.000 =  0.500

7 0
3 years ago
Select ALL the correct answers.
hichkok12 [17]

Answer: Jack, To Decide

Step-by-step explanation:

I am almost certain this is right.

The idea that it is random from a stranger especially between two sides, it fits the idea for fairness. Same with the citizens asked to participate and the random generator.

6 0
2 years ago
Read 2 more answers
A torch and a battery cost £2.50 altogether. The torch costs £2.00 more than the battery.
Hitman42 [59]

Answer:

1/5

Step-by-step explanation:

To find what fraction of the total price the battery is, we need to find out how much the battery alone is first.

Since the battery and torch together are £2.50 and the torch is £2.00, we can find the price of the battery by subtracting the total price to the price of the torch.

Battery Price = £2.50 - £2.00

Battery Price = £0.50

The fraction value of the torch is:

2.00 of 2.50 = 4/5

That then leaves us with:

0.50 of 2.50 = 1/5

To check we need to add the two fractions together.

1/5 + 4/5 = 5/5 or 1

6 0
2 years ago
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