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3 years ago

Can someone please help me with this

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

5 0

Answer:

I'm not to sure about this particular answer but it should be b: $1,354 .. you should also research on it more

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It is impossible for a system of linear equations to have exactly two solutions. explain why

SCORPION-xisa [38]

A linear equation represents a straight line.Thus, the solution of the system of linear equation depends on whether the lines intersect, not intersect or same line.

We have below cases:-

The lines are non parallel and intersect at exactly one point. In this case we have one solution.
The lines are parallel and hence never intersect. There is no solution in this case.
The two lines represents the same line. Hence, infinitely many solutions.

We never got exactly two solutions because two lines can intersect at a single point.

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4 years ago

Samir ran for 10 minutes, stopped and stretched for 5 minutes, walked for 20 minutes, and ran for another 15 minutes.

vfiekz [6]

Answer: Samir stopped and stretched for 5 minutes.

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3 years ago

Solve for x: 4 − (x + 2) < −3(x + 4) 90 points!!!!!

slava [35]

Hello :)

First, solve each side before we solve the inequality

4 − (x + 2)

−3x − 12

− (x+2)

4 − x − 2

*group the like terms*

− x + 4 − 2

− x + 2

−3(x + 4)

3x − 12

− x + 2 < 3x − 12

subtract 2 from both sides

− x + 2 < −3x − 12

-2 -2

−x < − 3x − 14

add 3x to both sides

−x < − 3x − 14

+3x +3x

2x < − 14

divide both sides by 2

$\frac{2x}{2}$ < $\frac{-14}{2}$

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3 years ago

What is the value of x, if twice x plus 3 cubed equals 40?

tatuchka [14]

I will give two solutions, one where everything is cubed and one where just the 3 is cubed, because I don't know what you meant.

Just the 3 is cubed solution(Which I think is correct because it has a nicer answer):

Answer:

$13/2$

Step-by-step explanation:

We have that $2x+3^3=40$ .

We can subtract $3^3=27$ from both sides of the equation to get $2x=13$ .

We can then divide by $2$ to get $x=13/2$ .

So, $\boxed{x=13/2}$ and we're done!

Everything is cubed solution:

Answer:

$\sqrt[3]{5}-3/2$

Step-by-step explanation:

We have that $(2x+3)^3=40$ .

We can take the cube root of both sides to get $2x+3=\sqrt[3]{40}$ .

Note that $40=2^3*5$ , so $\sqrt[3]{40}=\sqrt[3]{2^3*5}=2\sqrt[3]{5}$ .

So, we want to solve $2x+3=2\sqrt[3]{5}$ .

We can subtract $3$ from both sides to get $2x=2\sqrt[3]{5}-3$ .

We can then divide both sides by $2$ to get $x=\sqrt[3]{5}-3/2$ .

So, $\boxed{x=\sqrt[3]{5}-3/2}$ and we're done!

6 0

3 years ago

You invest $9000 with a 6% interest rate compounded semiannually. After 9 yrs, how much money is in your account?

astraxan [27]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$9000\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, thus twice}
\end{array}\to &2\\

t=years\to &9
\end{cases}
\\\\\\
A=9000\left(1+\frac{0.06}{2}\right)^{2\cdot 9}$

7 0

3 years ago