Solve 1 + 8x = –16 – 2x

Bridget needs an actor. Actor A is offering her services for an initial $250 in addition

Neporo4naja [7]

$\textit{Actor A charges 250 plus 50 per day}
\\ \quad \\

\begin{array}{llll}
days&charge
\\---&---\\
1&50\cdot 1\\
2&50\cdot 2\\
3&50\cdot 3\\
4&50\cdot 4\\
d&50\cdot x\implies 50d
\end{array}\quad meaning\implies A=250+50d$

$\textit{Actor B charges 2500 plus 60 per day}
\\ \quad \\
\begin{array}{llll}
days&charge
\\---&---\\
1&60\cdot 1\\
2&60\cdot 2\\
3&60\cdot 3\\
4&60\cdot 4\\
d&60\cdot x\implies 60d
\end{array}\quad meaning\implies B=200+60d
\\ \quad \\
when\ is A=B?\qquad well
\\ \quad \\

250+50d\quad =\quad 200+60d\impliedby \textit{solve for days "d"}$

3 0

3 years ago

Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i

Marina86 [1]

Step 1 ) Move all terms right side of the equation.

$\displaystyle\ x^{2} + 6x = -18$

$\displaystyle\ x^{2} + 6x + 18 = -18 + 18$

$\displaystyle\ x^{2} +6x + 18 = 0$

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

$\displaystyle\ x^{2} +6x + 18 = 0$

$\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}$

$\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}$

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

Step 3 ) Simplify.

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

$\displaystyle\ x = -3+ 3i$ ,

$\displaystyle\ x = -3 - 3i$

Since the options only provide one of the answer we found, the answer is...

$\displaystyle\ x = -3 - 3i$

•

- <em>Marlon Nunez</em>

6 0

3 years ago

Read 2 more answers

Ruth wants to buy a skateboard for $56. She has $90 in her account. She spent $11.65 to buy stationary. She also wants to buy so

nevsk [136]

The answer is the second one I dont have that symbol on my keyboard but it’s the second answer on the multi choice
90-11.65-56=22.35
divide that by 3.72 u get 6 so she can only get six comics or any whole positive number lower than that. Therefore it’s #2

5 0

3 years ago

Read 2 more answers

Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the origin

Orlov [11]

The answer will be B. Hope it help!

5 0

3 years ago

Find the image (0,0) after two reflections first across y=3 and then across x-axis

Alina [70]

Refrection of point (0, 0) across y = 3 gives point (0, 6)
Refrection of point (0, -6) across the x-axis gives point (0, -6)

3 0