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3 years ago

What will be the result of substituting 2 for x in both expressions below?

Mathematics

1 answer:

den301095 [7]3 years ago

4 0

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Hope this helped :D

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Point A is located at (-4, -13). Point B is located at (-4, 3). What is the distance between point A

12345 [234]

Answer:

the distance is 16

Step-by-step explanation:

Hi there!

We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points

the distance formula is given as $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$ where ( $x_{1}$ , $y_{1}$ ) and ( $x_{2}$ , $y_{2}$ ) are points

we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion

$x_{1}$ =-4

$y_{1}$ =-13

$x_{2}$ =-4

$y_{2}$ =3

now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

$\sqrt{(-4--4)^2+(3--13)^2}$

simplify

$\sqrt{(-4+4)^2+(3+13)^2}$

now add the values inside the parenthesis that are under the radical

$\sqrt{(0)^2+(16)^2}$

raise everything under the radical to the second power

$\sqrt{0+256}$

add under the radical

$\sqrt{256}$

now take the square root of 256

$\sqrt{256}$ =16

so the distance between point A and point B is <u>16</u>

Hope this helps! :)

8 0

3 years ago

girtue goes to the store and buys a rusy car for $55. the store has a sales tax of 5.5% how much will gertue have to pay

galina1969 [7]

Answer:

58.03

Step-by-step explanation:

What I did first to make it easier was make 5.5 to .055 and when you multiply those two together you get 3.025 which if you round it up becomes 3.03 and when you add 55 you get 58.03

5 0

3 years ago

Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer

Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so $P = 9000$

Interest rate of 8%, so $r = 0.08$

Compounded quarterly, so $n = 4$

5 years and 6 months, that is, 5 years and half, so $t = 5.5$

(a) How much would the value of her savings at the end of the term?

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82$

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

5 0

2 years ago

We can think of the division expression 10 divided by 2 1/2 as the answer to the question “how many groups of 2 1/2 are in 10 an

mrs_skeptik [129]

Answer:

<em>4 Groups</em>

Step-by-step explanation:

2 1/2 can be written as 2.5, and since this is division, all we have to do is divide 10 by 2.5.

10/2.5=4

8 0

2 years ago

What does |x| mean in a function?

seropon [69]

Answer:

<h2><u><em>The function basically returns the same objects (= does nothing). This could also be written explicitly as a named function. new Function <- function(x) { x } which would then be. cross val <- function(data, lambda=0, y trans = new Function) This is the default value, like in lambda=0, except the default value is a function itself.</em></u></h2><h2><u>brainlist plz </u></h2>

Step-by-step explanation:

6 0

3 years ago