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2 years ago

Need help on factoring this

Mathematics

1 answer:

vovangra [49]2 years ago

3 0

First find what a times c is, then find the factors of that number that add up to the value of b. Then expand the original equation. After that, you will create two binomials by factoring out a term.

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PMI stands for (blank).

choli [55]

Answer:

Private mortgage insurance, also called PMI, is a type of mortgage insurance you might be required to pay for if you have a conventional loan. i hope this helped <3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Is this a function or not a function? Explain why.

Ivenika [448]

Answer:

this is not a function

Step-by-step explanation:

the bottom numbers need to connect

3 0

3 years ago

Read 2 more answers

Suppose you asked 100 commuters how much they spend each year and obtained a mean of $167 spent on transportation and a standard

Lena [83]

Answer:

The correct answer is "$159 and $175".

Step-by-step explanation:

The give values are:

Mean,

= $167

Standard deviation,

$\sigma$ = $40

Number of commuters,

n = 100

Now,

⇒ $SE=\frac{\sigma}{\sqrt{n} }$

On putting the given values, we get

⇒ $=\frac{40}{\sqrt{100} }$

⇒ $=\frac{40}{10}$

⇒ $=4$

By using the 2 SE rule of thumb, we get

= $$(167 - 2\times 4)$

= $167-8$

= $159$ ($)

Or,

= $(167 + 2\times 4)$

= $167+8$

= $175$ ($)

i.e,

$159 and $175

6 0

2 years ago

A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing nearby casts a shadow 5 feet long, and t

Viefleur [7K]

Answer:
12
Step-by-step explanation:
15 feet total amount combined by pole and
birdhouse
4 foot tall person makes 5 feet long
shadow
5×3=15
4x3=12 so the birdhouse and pole are 12
feet
THANKS!

6 0

2 years ago

Help? I can't seem to understand arithmegic sequence.

katrin2010 [14]

A sequence $\{a_n\}$ is arithmetic if the difference between consecutive terms is some fixed number, regardless of which pair of consecutive terms you pick out of the sequence.

For example, the following sequences are arithmetic:

1, 2, 3, 4, 5, 6, ... (difference = 1)

-25, -20, -15, -10, -5, ... (difference = 5)

2. Carla's sequence is not arithmetic, because the differences between consecutive terms are all different:

13 - 11 = 2

17 - 13 = 4

25 - 17 = 8

She can adjust the sequence by changing the last two numbers to 15 and 17, since this makes the difference fixed:

13 - 11 = 2

15 - 13 = 2

17 - 15 = 2

and so on.

3. The sequence

45, 48, 51, 54, ...

is arithmetic with difference 3 between terms. Recursively, we can write the $n$ th term, $a_n$ , in terms of the previous, $(n-1)$ th term, $a_{n-1}$ :

$a_n=a_{n-1}+3$

By this definition, we can just as easily write the $(n-1)$ th term in terms of the $(n-2)$ th term:

$a_{n-1}=a_{n-2}+3$

Then, substituting this into the previous equation, we have

$a_n=(a_{n-2}+3)+3=a_{n-2}+2\cdot3$

We can continue this process to write $a_n$ in terms of $a_1$ :

$a_{n-2}=a_{n-3}+3\implies a_n=a_{n-3}+3\cdot3$

$a_{n-3}=a_{n-4}+3\implies a_n=a_{n-4}+4\cdot3$

and so on. (You might notice that the subscript of the term on the right side, and the number of 3s being added, together sum to $n$ .) The pattern continues down to

$a_n=a_1+(n-1)\cdot3$