Answer:
21
Step-by-step explanation:
Let Q1 and Q2 be the quotients from dividing 32 and 58 respectively.Then 32 Q1 + 30 = 58 Q2 + 4432 Q1 = 58 Q2 + 1416 Q1 = 29 Q2 + 716 Q1 = (16 + 13)Q2 + 716 Q1 = 16 Q2 + 13 Q2 + 716(Q1 - Q2) = 13 Q2 + 7Because Q1 and Q2 are integers, we have to find Q2 whereby 13Q2 + 7 is divisible by 16.After some try-and-error, we get Q2 = 13. That is 13*13 + 7 = 176Therefore, Q1 - Q2 = 11 --> Q1 - 13 = 11 --> Q1 = 2432*24 + 30 = 58*13 + 44 = 798.I am 798
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x-(3*x^3+8*x^2+5*x-7)=0
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span><span> x-((((3•(x3))+23x2)+5x)-7) = 0
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span> x - (((3x3 + 23x2) + 5x) - 7) = 0
</span><span>Step 3 :</span><span>Step 4 :</span>Pulling out like terms :
<span> 4.1 </span> Pull out like factors :
<span> -3x3 - 8x2 - 4x + 7</span> =
<span> -1 • (3x3 + 8x2 + 4x - 7)</span>
Checking for a perfect cube :
<span> 4.2 </span> <span> 3x3 + 8x2 + 4x - 7</span> is not a perfect cube
Trying to factor by pulling out :
<span> 4.3 </span> Factoring: <span> 3x3 + 8x2 + 4x - 7</span>
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: <span> 3x3 - 7</span>
Group 2: <span> 8x2 + 4x</span>
Pull out from each group separately :
Group 1: <span> (3x3 - 7) • (1)</span>
Group 2: <span> (2x + 1) • (4x)</span>
2.9 is greater than 0.29 as the decimal point indicates that there are 2 1s and 9 0.1s, while 0.29 has 2 0.1s and 9 0.01s
