Step-by-step explanation:
<em>Given</em>
<em>3x </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>1</em><em> </em><em>)</em><em> </em><em>+</em><em> </em><em>2</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>x²</em>
<em>3x²</em><em> </em><em>-</em><em> </em><em>3x </em><em>+</em><em> </em><em>2</em><em> </em><em>=</em><em> </em><em>-</em><em>x²</em>
<em>3x²</em><em> </em><em>+</em><em> </em><em>x²</em><em> </em><em>-</em><em> </em><em>3x </em><em>+</em><em> </em><em>2</em><em> </em><em>=</em><em> </em><em>0</em>
<em>4x²</em><em> </em><em>-</em><em> </em><em>3x </em><em>+</em><em> </em><em>2</em><em> </em><em>=</em><em>0</em>
Answer:
6
Step-by-step explanation:
260÷45=5.77
Round and it ends up being 6
Answer is 18 hours worked
Step by step:
Equation y = mx + b
Our total income (y) is $1305
Our rate (m) is $35
Our y intercept (b) is $75 * 9 home visits
Our unknown hours worked is X
1305 = 35x + (75*9)
1305 = 35x + 675
Subtract 675 from both sides to isolate the variable
1305 - 675 = 35x + 675 - 675
$630 = 35x
Divide both sides by 35 to solve for x
630/35 = 35/35 x
18 = x hours worked
Check your work
Substitute your x value into the equation
1305 = 35x + (75*9)
1305 = 35*18 + (75*9)
1305 = 630 + 675
1305 = 1305
Problem solved!
Answer:
Rudy is 13 years old. Her father is 45 years old.
Step-by-step explanation:
It's very simple actually!
<u>All you need to do is subtract 32:</u>
58 - 32 = 26
<u>Then divide:</u>
<u />
26 ÷ 2 = 13
13 is Rudy's age. Let's find her father's age!
<u>We then add 32 back to 13:</u>
32 + 13 = 45
And there you have it!
Hope this helped! :)
![\bf A=P\left(1+r\right)^{t} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{starting amount}\to &\$85\\ r=rate\to 100\%\to \frac{100}{100}\to &1.00\\ t=time\to 3hrs\to &6 \end{cases} \\\\\\ A=85(1+1)^6](https://tex.z-dn.net/?f=%5Cbf%20A%3DP%5Cleft%281%2Br%5Cright%29%5E%7Bt%7D%0A%5Cquad%20%0A%5Cbegin%7Bcases%7D%0AA%3D%5Ctextit%7Baccumulated%20amount%7D%5C%5C%0AP%3D%5Ctextit%7Bstarting%20amount%7D%5Cto%20%26%5C%2485%5C%5C%0Ar%3Drate%5Cto%20100%5C%25%5Cto%20%5Cfrac%7B100%7D%7B100%7D%5Cto%20%261.00%5C%5C%0At%3Dtime%5Cto%203hrs%5Cto%20%266%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0AA%3D85%281%2B1%29%5E6)
now, bear in mind that, the population is doubling every half-hour, so, in 3hrs, it doubled 6 times, thus, our time is 6 for 3hrs, since the cycle is every 30mins
now, for 24hrs? well, that's 48 half-hours, thus t = 48