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rosijanka [135]
3 years ago
5

(x2 + 4)(x2 - 4) please answer it

Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:

x^4-16

Step-by-step explanation:

This is only right if you just want to multiply them together.

You might be interested in
Write a multiplication equation that has a solution of 12. Use tape diagrams to prove that your equation has a solution of 12.
natima [27]

Answer:

The required equation is 3y=36 and the tape diagram is shown below.

Step-by-step explanation:

Consider the provided information.

We need to write a multiplication equation that has a solution of 12.

3y=36

We know we have to split 36 into three equal groups, so we have to divide by 3 to show this algebraically.

3y÷3=36÷3

y=12

Now check this with the help of tape diagram as shown.

Consider the figure 1.

This represents if 36 had to be split into three groups, how big would each group be?

By the tape diagram we concluded that the value of y is 12.

5 0
3 years ago
If F (x) =8+11 X-3X², find<br> a. What is F (5)? <br> b. What is F (x + b)? <br> c. What is F (-3)?
stepladder [879]

Answer:

a) -12

b) 8+11x+11b-3x^2-3b^2-6xb

c)-52

Step-by-step explanation:

in a) we have to substitute the value of x with 5

in b) we substitute the value of x with (x+b) and then simplify

in c) just have to substitute x with -3

5 0
2 years ago
Fill in the blanks so that the resulting statement is true. If f is a polynomial function and​ f(a) and​ f(b) have opposite​ sig
tia_tia [17]

Answer:

f(c) equals zero

Intermediate Value Theorem

Step-by-step explanation:

Intermediate value theorem is one which states that f is a continuous function whose domain contains intervals which are a and b. It takes on any value between f(a) and f(b) at some point within interval. If we know the two values, we can pick any number between those two values and determine its function.

6 0
3 years ago
58.5ft <br>area is rug of an 10 to 12 feet floor.what area is not rug.
jenyasd209 [6]
The answer is 61.5

Please mark as brainliest; have a blessed day!
5 0
3 years ago
Read 2 more answers
Let a1, a2, a3, ... be a sequence of positive integers in arithmetic progression with common difference
Bezzdna [24]

Since a_1,a_2,a_3,\cdots are in arithmetic progression,

a_2 = a_1 + 2

a_3 = a_2 + 2 = a_1 + 2\cdot2

a_4 = a_3+2 = a_1+3\cdot2

\cdots \implies a_n = a_1 + 2(n-1)

and since b_1,b_2,b_3,\cdots are in geometric progression,

b_2 = 2b_1

b_3=2b_2 = 2^2 b_1

b_4=2b_3=2^3b_1

\cdots\implies b_n=2^{n-1}b_1

Recall that

\displaystyle \sum_{k=1}^n 1 = \underbrace{1+1+1+\cdots+1}_{n\,\rm times} = n

\displaystyle \sum_{k=1}^n k = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2

It follows that

a_1 + a_2 + \cdots + a_n = \displaystyle \sum_{k=1}^n (a_1 + 2(k-1)) \\\\ ~~~~~~~~ = a_1 \sum_{k=1}^n 1 + 2 \sum_{k=1}^n (k-1) \\\\ ~~~~~~~~ = a_1 n +  n(n-1)

so the left side is

2(a_1+a_2+\cdots+a_n) = 2c n + 2n(n-1) = 2n^2 + 2(c-1)n

Also recall that

\displaystyle \sum_{k=1}^n ar^{k-1} = \frac{a(1-r^n)}{1-r}

so that the right side is

b_1 + b_2 + \cdots + b_n = \displaystyle \sum_{k=1}^n 2^{k-1}b_1 = c(2^n-1)

Solve for c.

2n^2 + 2(c-1)n = c(2^n-1) \implies c = \dfrac{2n^2 - 2n}{2^n - 2n - 1} = \dfrac{2n(n-1)}{2^n - 2n - 1}

Now, the numerator increases more slowly than the denominator, since

\dfrac{d}{dn}(2n(n-1)) = 4n - 2

\dfrac{d}{dn} (2^n-2n-1) = \ln(2)\cdot2^n - 2

and for n\ge5,

2^n > \dfrac4{\ln(2)} n \implies \ln(2)\cdot2^n - 2 > 4n - 2

This means we only need to check if the claim is true for any n\in\{1,2,3,4\}.

n=1 doesn't work, since that makes c=0.

If n=2, then

c = \dfrac{4}{2^2 - 4 - 1} = \dfrac4{-1} = -4 < 0

If n=3, then

c = \dfrac{12}{2^3 - 6 - 1} = 12

If n=4, then

c = \dfrac{24}{2^4 - 8 - 1} = \dfrac{24}7 \not\in\Bbb N

There is only one value for which the claim is true, c=12.

3 0
2 years ago
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