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zhannawk [14.2K]
3 years ago
13

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F(x) + G(x) + H(x). 5x³ + 1 x² + 5x + 1 x² + 5x + 3

Mathematics
1 answer:
NikAS [45]3 years ago
8 0

F(x) +G(x) +H(x) = (2x -1) +(3x +2) +(x²)

... = x² +x(2+3) +(-1+2) . . . . . group like terms

... = x² +5x +1 . . . . . . . . . . . . simplify

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2. Find the theoretical probability of not rolling a 4.
mezya [45]

Answer:If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is 1/6.

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is 3/6 = 1/2

Step-by-step explanation:For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

8 0
3 years ago
Cost of a bicycle: $500.00<br> Markup: 15%<br> What’s the selling price:
allsm [11]

Answer:

Step-by-step explanation:

Markup price= 15% of 500

=\frac{15}{100}*500\\\\=15*5\\

= $ 75

Selling price = 500 + 75 = $ 575.00

7 0
4 years ago
Please show steps when solving this.
defon

\frac{240 inches}{1 minute}

We're going to change one unit at a time. Let's start with inches to feet. There are 12 inches in 1 foot. Divide 240 by 12 or multiply by 1/12.

\frac{240 inches}{1 minute} * \frac{1 foot}{12 inches}=\frac{20 feet}{1 minute}

Next, let's do the time using the same idea. Remember that there are 60 minutes in 1 hour.

\frac{20 feet}{1 minute} * \frac{60 minutes}{1 hour} = \frac{1200feet}{1hour}

Answer: 1200 feet per hour

Hope this helps!

7 0
2 years ago
Let F be a field, and suppose a EF, a *0. Prove that a has a unique multiplicative inverse.
bezimeni [28]

Answer with Step-by-step explanation:

Let F be a field .Suppose a\in F and a\neq 0

We have to prove that a has unique multiplicative inverse.

Suppose a has two inverses b and c

Then, ac=1,ab=1 where 1 =Multiplicative identity

ac=ab

c=b (cancel a on both sides)

Hence, a has unique multiplicative inverse.

6 0
4 years ago
Choose a number between 49 and 95 that is a multiple of 4, 7, and 14
MrMuchimi

56. 4 goes in 14 times. 14 goes in 4 times. 7 goes in 8 times.

5 0
3 years ago
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