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2 years ago

Written as a simplified polynomial in standard form, what is the result when

Mathematics

2 answers:

o-na [289]2 years ago

5 0

Answer:

9x^2 - 10x -4

Step-by-step explanation:

It is set up like this

9x^2 - 8x

- (x-2)2

First solve (x-2)2

the answer is (2x-4)

so now you can do this instead

9x^2 - 8x

- 2x - 4

----------------------------------

9x^2 - 10x +4

9x^2 minus zero is 9x^2

-8x-2x is -10x

0- -4 is 4 because that is like saying 0 + 4 because double negatives equal a positive

A simpler way is to change all the numbers to the opposite sign and then change the minus to a plus

like this

9x^2 - 8x

+ -2x + 4

----------------------------------

9x^2 - 10x +4

EleoNora [17]2 years ago

5 0

Answer:

8x^2-4x-4

Step-by-step explanation:

On delta math

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If you had a slope of 3 and a y-intercept of 2, the equation should be

Lady bird [3.3K]

Answer:

$y=3x+2$

Step-by-step explanation:

There is enough information to make a equation in slope-intercept form.

$y=mx+b$

'm' is the slope. 'b' is the y-intercept.

In the given question, 3 is the slope and 2 is the y-intercept. This means that:

m = 3

b = 2

Plug in the appropriate values:

$y=mx+b\rightarrow\boxed{y=3x+2}$

Hope this helps.

7 0

3 years ago

"if n balls are distributed randomly into k urns, what is the probability that the last urn contains j balls?"

seraphim [82]

The answer relies on whether the balls are different or not. If they are not, which is almost certainly what is intended.

If they are, the perceptive is a bit different. Your expression gives the likelihood that a particular set of j balls goes into the last urn and the other n−j balls into the other urns. But there are (nj) different possible sets of j balls, and each of them the same probability of being the last insides of the last urn, so the total probability of completing up with exactly j balls in the last urn is if the balls are different.

See attached file for the answer.

3 0

3 years ago

Graph the line whose y-intercept is - 9 and whose x-intercept is 5.

Nostrana [21]

Answer:

y=1.8x-9

Step-by-step explanation:

if they are intercepts so the x/y will be zero, so in y intetceot the x is zero, and in the x itercept the y is zero.

0,-9

5,0

we calculate the slooe / rise

-9-0/0-5 = 1.8

we then use this formula

y-y1=rise(x-x1)

y-0=1.8(x-5)

y=1.8x-9

4 0

3 years ago

HELPP it’s angles of a triangle much appreciated !

bulgar [2K]

Answer:

The coastline of alaska is longer than the entire coastline of the lower forty-eight states

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2 years ago

Here are some values of sequence Q. Write a recursive definition for the sequence.

Rashid [163]

Answer: Q(n) = Q(n - 1) + 2.5

Step-by-step explanation:

We have 3 values of the sequence Q(n)

These values are:

Q(1) = 3

Q(3) = 8

Q(7) = 18

I would think that this is a geometric sequence.

Remember that the equation for the n-th term of a geometric sequence is:

A(n) = A(1)*r^(n-1)

where r is a constant, and A(1) is the first term of the sequence.

If we rewrite the terms that we know of Q(n) in this way we get:

Q(3) = Q(1)*r^(3 - 1) = 3*r^2 = 8

Q(7) = Q(1)*r^(7 - 1) = 3*r^6 = 18

Then we have two equations:

3*r^2 = 8

3*r^6 = 18

We should see if r is the same for both equations:

in the first one we get:

r^2 = 8/3

r = (8/3)^(1/2) = 1.63

and in the other equation we get:

r^6 = 18/3

r = (18/3)^(1/6) = 1.34

Then this is not a geometric sequence.

Now let's see if this is an arithmetic sequence.

The n-th term of an arithmetic sequence is written as:

A(n) = A(1) + (n - 1)*d

where d is a constant.

If we write the terms of Q(n) that we know in this way we get:

Q(3) = Q(1) + (3 - 1)*d = 3 + 2*d = 8

Q(7) = Q(1) + (7 - 1)*d = 3 + 6*d = 18

We need to see if d is the same value for both equations.

in the first one we get:

3 + 2*d = 8

2*d = 8 - 3 = 5

d = 5/2 = 2.5

In the second equation we get:

3 + 6*d = 18

6*d = 18 - 3 = 15

d = 15/6 = 2.5

d is the same for both terms, then this is an arithmetic sequence.

An arithmetic sequence is a sequence where the difference between any two consecutive terms is always the same value (d)

Then the recursive relation is written as:

A(n) = A(n - 1) + d

Then the recursive relation for Q is:

Q(n) = Q(n - 1) + 2.5

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3 years ago