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svp [43]
3 years ago
12

Multiply the polynomials and simplify by combining like terms.

Mathematics
1 answer:
Gnom [1K]3 years ago
3 0

Answer:

4x^5+9x^3-5x^2+2x-10

Step-by-step explanation:

(x^2+2)(4x^3+x-5)

4x^5+x^3-5x^2+8x^3+2x-10

4x^5+x^3+8x^3-5x^2+2x-10

4x^5+9x^3-5x^2+2x-10

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Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
alexdok [17]

Answer:

The value of k would be 4

Step-by-step explanation:

If f(x) is shifted vertically k unit upward then,

Transformed function is,

g(x) = f(x) + k,

Using the given graph,

line f(x) passes through (0, -3)

line g(x) passes through (0, 1)

Difference in y-coordinate = 1 - (-3) = 1 + 3 = 4

∵ y-coordinate represents the vertical shifting,

So, g(x) = f(x) + 4,

Hence, the value of k would be 4.

3 0
3 years ago
What is the answer to <br> 4(3C-2)=12(C+2)
Elis [28]

Step-by-step explanation:

4(3c-2)=12(c+2)

12c-8=12c+24

12c-12c=24+8

0=32

7 0
3 years ago
The weather forecaster says that the probability of rain on Saturday is 20% and the probability of rain on Sunday is 30%. a. Can
Annette [7]

Answer:

0.44

Step-by-step explanation:

given that the weather forecaster says that the probability of rain on Saturday is 20% and the probability of rain on Sunday is 30%.

It is common sense to know that Saturday and Sunday are independent of the other

Hence Probability that it rains on both days = 0.2*0.3=0.06

Since for independent events joint probability is the product of probabilities

required probability

= probability of rain over the weekend (Saturday or Sunday

= P(Sunday)+P(Saturday) -P(both)

=0.2+0.3-0.06\\=0.44

7 0
4 years ago
Simplify this expression.
Bond [772]

The correct expression to simplify is:

1+4.25n + 3/2p -3+(-2p)+5/4n

Answer:

5.5n-1/2p-2

Explanation:

<u>1. Given expression</u>:

1+4.25n + 3/2p -3+(-2p)+5/4n

<u>2. Group like terms</u>:

(1-3)+(4.25n+5/4n)+(3/2p-2p)

<u>3. Simplify</u>:

  • 1 - 3 = - 2
  • 4.25n + 5/4n = 4.25n + 1.25n = 5.5n
  • 3/2p - 2p = 1.5p - 2p = - 0.5p = - 1/2p

-2+5.5n-1/2p=5.5n-1/2p-2

8 0
4 years ago
Remember, hydrate or diedrate.<br> u r loved<br> cheese
Oksanka [162]

Answer:

ok

Step-by-step explanation:

7 0
3 years ago
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