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lara [203]
3 years ago
13

Factor the trinomial below. x^2 - 14x + 45

Mathematics
2 answers:
kondaur [170]3 years ago
8 0

Answer:

B, (x - 5)(x - 9)

Step-by-step explanation:

x^2 - 14x + 45

= (x - 5)(x - 9)

MissTica3 years ago
6 0

Answer:

B

Step-by-step explanation:

factors of 45 that when u multiply give u 45 when u add give u -14

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Add or subtract as indicated and write the result in standard form. 5i - (-5 - i)
AlexFokin [52]

Simplify by combing the real and imaginary parts of each expression.

5 + 6i

Arrange the expression into the a+bi form of a complex number.

5+ 6i

5 0
3 years ago
Least to greatest <br> 20,4,.6,.08
Radda [10]
.08 , .6, 4, 20

.08 has a hundredth value, while .6 has a tenth value. You could also look at .6 as .60 which might help.
5 0
3 years ago
Find the population mean or sample mean as indicated. Sample: 19, 15, 6, 11, 24 Compute the sample mean for this data set. Selec
yKpoI14uk [10]

Answer:

\overline{x}=15

Step-by-step explanation:

the mean is given by:

\overline{x} = \dfrac{\sum\limits_{i=1}^n x_i}{n} \quad\text{or}\quad \dfrac{\text{sum of all items}}{\text{number of items}}

In our case this is:

\overline{x} = \dfrac{19+15+6+11+24}{5} \Rightarrow \dfrac{75}{5}\\\\\overline{x} = 15\\\\

side note: the main difference between sample mean and population mean is in the 'context'. However, the method to calculate them is the same.

By context I mean: if this the items are taken from some larger category for example: the ages of a few 'students' from a 'class'. Here 'students' are the sample from a larger set that is 'class'. The mean of the 'few students' will be called sample mean. In contrast, if we take the mean of the ages of the whole class then this is called population mean. (population mean == mean of the whole set)

In our case we aren't told exactly where these numbers come from, is this the whole set or a sample from it, the lack of context allows us to assume that the mean can either be population mean or sample mean. So we can safely use any symbol \mu or \overline{x}.

3 0
3 years ago
5. Each pair of polygons below are similar. Show your work! Solve for x:
BartSMP [9]

Answer:

x = 10

Step-by-step explanation:

30/35 = (6x-6)/63

210x - 210 = 1890

210x = 2100

x = 10

4 0
3 years ago
Julien's parents want $64,000 at the end of 3 years. They put their money in an account that yields 10% per year compounded mont
Leto [7]

Answer: \$47,471

Step-by-step explanation:

Given

Julien's parents want $64,000 at the end of 3 years

The rate of interest is 10% annually

Suppose they invested P amount initially

So, compound interest, compounded monthly is

\Rightarrow A=P\left( 1+\frac{r}{n}\right)^{nt}\quad [\text{n=Numner of compounding periods}]\\\\\text{Insert the values}\\\Rightarrow 64,000=P\left( 1+\frac{0.10}{12}\right)^{12\times 3}\\\\\Rightarrow 64,000=P\left( 1+\frac{10}{12}\right)^{36}\\\\\Rightarrow P=\dfrac{64000}{1.3481}\\\\\Rightarrow P=\$\ 47,471.37\approx \$ 47,471

7 0
2 years ago
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