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Anna11 [10]
3 years ago
12

Rewrite each polynomial in standard form by applying the operations in the appropriate order: (x^2 − 4)(x +3) − (x^2 +2x − 5)

Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0

Answer:

in standard form polynomial will be  x^3+2x^2-6x-7

Step-by-step explanation:

We have given equation (x^2-4)(x+3)-(x^2+2x-5)

We have to write this in standard form

For writing in standard form first we have to multiply and then subtract

So (x^2-4)(x+3)-(x^2+2x-5)=x^3-4x+3x^2-12-x^2-2x+5=x^3+2x^2-6x-7

So in standard form polynomial will be  x^3+2x^2-6x-7

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Write the equation of the line that passes through (0, 3) and is parallel to the line 3x + 5y = 6.
Pavel [41]
Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6   k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
y=- \frac{3}{5}x+3 \ or \ 3x+5y=15
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program that generates two random numbers between one and 11. what is the probability that both values will be more than 7? numb
katovenus [111]

Answer:

1/9

Step-by-step explanation:

The numbers between 1 and 11 are:

2, 3, 4, 5, 6, 7, 8, 9, 10

There are 9 numbers.

Of the 9 numbers, 8, 9, and 10 are greater than 7, so there are 3 numbers greater than 7.

p(number greater than 7) = 1/3

p(>7) = 1/3

Each time a number is selected, the probability it is greater than 7 is 1/3.

For two numbers, you have two independent events, so the overall probability is the product of the individual probabilities.

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galina1969 [7]

Answer:

A complete graph is a graph in which each pair of graph vertices is connected by an edge. The complete graph with graph vertices is denoted and has (the triangular numbers) undirected edges, where is a binomial coefficient. In older literature, complete graphs are sometimes called universal graphs.

Step-by-step explanation:


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Answer:

t = 1/2 hour

Step-by-step explanation:

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256 =  x^{4 }

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3 years ago
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