All categories

3 years ago

"Everyone has a financial plan, but not everyone has financial goals." Explain what you think this

Mathematics

1 answer:

Lelu [443]3 years ago

7 0

Answer:

Everyone has financial a plan, but not everyone knows what to do to make the plan work. Planning is different from putting it into action.

You might be interested in

How do you write 0.0036 in scientific notation

Diano4ka-milaya [45]

3.6 * 10^(-3) is the scientific notation

5 0

3 years ago

Read 2 more answers

Solve <img src="https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B1%7D%7Bp%7D%20%2B%20%5Cdfrac%7B1%7D%7Bq%7D%20%2B%20%5Cdfrac%7B1%7D

Nostrana [21]

Answer:

$\displaystyle \begin{cases} \displaystyle {x} _{1} = - p \\ \displaystyle x _{2} = - q \end{cases}$

Step-by-step explanation:

we would like to solve the following equation for x:

$\displaystyle \frac{1}{p} + \frac{1}{q} + \frac{1}{x} = \frac{1}{p + q + x}$

to do so isolate $\frac{1}{x}$ to right hand side and change its sign which yields:

$\displaystyle \frac{1}{p} + \frac{1}{q} = \frac{1}{p + q + x} - \frac{1}{x}$

simplify Substraction:

$\displaystyle \frac{1}{p} + \frac{1}{q} = \frac{x - (q + p + x)}{x(p + q + x)}$

get rid of only x:

$\displaystyle \frac{1}{p} + \frac{1}{q} = \frac{ - (q + p )}{x(p + q + x)}$

simplify addition of the left hand side:

$\displaystyle \frac{q + p}{pq} = \frac{ - (q + p )}{x(p + q + x)}$

divide both sides by q+p Which yields:

$\displaystyle \frac{1}{pq} = \frac{ -1}{x(p + q + x)}$

cross multiplication:

$\displaystyle x(p + q + x) = - pq$

distribute:

$\displaystyle xp + xq + {x}^{2} = - pq$

isolate -pq to the left hand side and change its sign:

$\displaystyle xp + xq + {x}^{2} + pq = 0$

rearrange it to standard form:

$\displaystyle {x}^{2} + xp + xq + pq = 0$

now notice we end up with a quadratic equation therefore to solve so we can consider factoring method to use so

factor out x:

$\displaystyle x( {x}^{} + p ) + xq + pq = 0$

factor out q:

$\displaystyle x( {x}^{} + p ) +q (x + p)= 0$

group:

$\displaystyle ( {x}^{} + p ) (x + q)= 0$

by Zero product property we obtain:

$\displaystyle \begin{cases} \displaystyle {x}^{} + p = 0 \\ \displaystyle x + q= 0 \end{cases}$

cancel out p from the first equation and q from the second equation which yields:

$\displaystyle \begin{cases} \displaystyle {x}^{} = - p \\ \displaystyle x = - q \end{cases}$

and we are done!

3 0

3 years ago

Simplify the expression -4x^2(3x − 7).

satela [25.4K]

Answer:

Step-by-step explanation:

Simplify the expression -4x^2(3x − 7).

A. -12x^3 + 28

C. -12x^3 − 28

D. -12x^3 − 28x^2

5 0

3 years ago

Read 2 more answers

Find the slope of the line -3x+5y=30

Dmitriy789 [7]

-3x+5y=30
+3x+5y=30
5y=3x+30
divide 5 by everything
answer: y=3/5x+6

4 0

3 years ago

Select the correct answer. Which of the following sets of ordered pairs represents a function?

iogann1982 [59]

Answer: {(-8, -14), (-7,-12), (-6,-10), (-5,-8)}

Step-by-step explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.

In the relations show here, notice that the first set

of ordered pairs is the only set where each x-coordinate

appears once with a different y-coordinate.

In the other ordered pairs, there is an x-coordinate that appears more

than once and it corresponds to a different y-coordinate.

For example, in the second relation,

the x-coordinate -9 appears twice.

In one case, -9 corresponds to -12 and

in the other case, it corresponds to -8.

So, this is not a function.

3 0

4 years ago