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3 years ago

Please help! I don't know how to do this.

Mathematics

1 answer:

Jet001 [13]3 years ago

5 0

Answer:

f(x) = x^2 - 3x + 1.

Step-by-step explanation:

If the roots of this polynomial are 1 and 2, the corresponding factors are (x - 1) and (x - 2). Multiplying, we get

f(x) = (x - 1)(x - 2) = x^2 - 3x + 1

The polynomial of least degree with roots 1 and 2 is f(x) = x^2 - 3x + 1.

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. Isabella buys a 1.75 litre carton of apple juice. What is the largest number of 200 millilitre glasses that she can have from

Free_Kalibri [48]

Answer:

<em>The largest number of glasses of juice Isabella can have from the carton is 8.</em>

Step-by-step explanation:

<u>Ratios</u>

Knowing the total capacity of the carton of apple juice Ct, and the capacity of each glass Co, we can calculate how many glasses can be taken from the carton by finding the ratio:

$\displaystyle n=\frac{Ct}{Co}$

There are 1,000 milliliters in one liter, thus the carton has a capacity of

C t= 1.75*1,000 = 1,750 milliliters

Thus,

$\displaystyle n=\frac{1,750}{200}$

n=8.75

Since we cannot have 8.75 glasses, we round to the previous integer, then:

The largest number of glasses of juice Isabella can have from the carton is 8.

6 0

3 years ago

What is the volume of the right rectangular prism, in cubic inches?

Natali5045456 [20]

Answer:

V=576

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Express 78 billion in scientific notation

ryzh [129]

Answer:

$7.8 * 10^{10}$ is scientific notation of 78 billion

Step-by-step explanation:

For scientific notation , follow the following notation:

$a * 10^{b}$ -------->(equation 1)

Let, $a^{'} = 78 billion$

$a^{'} = 78000000000$

$a^{'} = 78000000000.0$

In standard form

$a = 7.8000000000$

$a = 7.8$

As decimal point move 10 places from right to left, therefore

b = 10

Put the value of 'a' and 'b' in (equation 1)

$7.8 * 10^{10}$ is scientific notation of 78 billion

6 0

4 years ago

If you can get an answer to any question, what would you ask? You toss a fair coin 4 times. What is the probability that (round

Andrew [12]

Answers:

a) 0.0625

b) 0.9375

==================================================

Work Shown:

The probability of landing on heads is 1/2 = 0.5 since both sides are equally likely to land on. Getting 4 heads in a row is (1/2)^4 = (0.5)^4 = 0.0625

The event of getting at least one tail is the complement of getting all four heads. This is because you either get all four heads or you get at least one tail. One or the other must happen. We subtract the result we got from 1 to get 1-0.0625 = 0.9375

You can think of it like this

P(getting all four heads) + P(getting at least one tail) = 1

The phrasing "at least one tail" means "one tail or more".

4 0

3 years ago

There are 438 students at a middle school. If 38% of the students participate in after school sports what would the number of st

umka21 [38]

Answer:166

Step-by-step explanation:438x.38=166

438 being the total amount of students

.38 being the 38% involved (moved percentage two to the left to make it a decimal)

6 0

3 years ago