F(x)=x^3+ax^2+bx+3 where a and b are constants. bx Given that when f (x) is divided by (x+2) the remainder is 7, (a) show that 2a-b=6 Given also that when f (x) is divided by (x-1) the remainder is 4. (b) Find the value of a and the value of b I don't know how solve it :(((((((

Answers

Answer 1

Answer: Part I - First synthetic division

You need to use synthetic division to come up with an expression for a and b:

(x + 2) is a factor, and the remainder is 7, so we can draw a synthetic division table...

coefficients = 1 for X^3; A for X^2; B for X^1; and 3

-2 |    1     A B           3

      -2 -2(A-2) 4(A-2)-2B

   1      (A-2)    -2(A-2)+B    4(A-2)-2B + 3

Remainder = 7

So...

4(A-2)-2B + 3 = 7

4 * (A - 2) - 2B + 3 = 7

4A - 8 - 2B =  4

4A - 2B = 12

2A - B = 6
Proved

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Part II - Second Synthetic Division

We draw another synthetic division table, this time with (x - 1), so the number on the left hand side will be +1

1 |    1        A B           3

      1   (A+1)   A+B+1

         1      (A+1)    A+B+1   A+B+4

    Remainder = 4

So...

A + B + 4 = 4

A + B = 0

A = -B

-------------------------------------------------------------------------------------------------------------------
Part III - Solving for A and B with our two simultaneous equations

We know that A = -B and we also know that 2A - B = 6

Since we know that A is equal to -B We can substitute in A for -B, to get:

2A - B = 6

Therefore...

2A + A = 6

3A = 6

A = 2

Again, as we know that A = -B, and as we have found that A = 2, we can see:

A = -B

Therefore...

2 = -B

B = -2

So our final answer is A = 2, B = -2

Hopefully this answer is more useful than the last one, and isn't so confusing!

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Answers

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Answers

Answer: 3.82

Step-by-step explanation: there is a decimal

Do you have a picture

twenty percent of the dogs at the pound needed medical care. what is the ratio of the dogs that needed care to dogs that did not.

Answers

I'm not positive but I think it is

20:80

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need:don't need=20:80=2:8=1:4

ratio is 1:4

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Answers

Answer:

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Step-by-step explanation:

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Two state parks, Elm Grove and Cathedral Rock, each recorded the number of visitors to the park each day for 15 days. The parks made line plots from the data recorded. What statement about the two plots’ distributions is true? A. The degree of overlap between the two distributions is high. B. The degree of overlap between the two distributions is moderate. C. The degree of overlap between the two distributions is low. D. There is no overlap between the two distributions.

Answers

The solution is : C. The degree of overlap between the two distributions is low.

What is distributions?

Distribution is the process of making a product or service available for the consumer or business user who needs it, and a distributor is a business involved in the distribution stage of the value chain.

here, we have,

Overlapping can be defined as the intersection between areas of two normal distributions.

The overlap means that sample or populations have similarities, which occasionate this behaviour.

In this case, we have two normal distributions (you can deduct that observing the bell form).

If you look closely, you'll observe that the tails of theses distributions overlap, but just the tail, that means they have a low degree of similarity.

Therefore, the right answer is C, the degree of overlap is low.

To learn more on distribution click:

brainly.com/question/3159933

#SPJ3

do you need a explanation of your answer if not i do believe its B

Function form
5x-7y=14

Answers

function form is when you put x in, you get y so the correct equaiton should be y=so and so

so

5x-7y=14
subtrac 5x form both ssides
-7y=14-5x
divide both sides by 7
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multiply by -1
y=5/7x-2
that is it

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