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Komok [63]
3 years ago
9

What is the quotient of 2x^(3)+3x^(2)+5x divided by x^(2)+x+1

Mathematics
1 answer:
Anit [1.1K]3 years ago
7 0
<h3><u>Answer</u><u>:</u></h3>
  • \large{ \underline{ \boxed{ \green{ \tt{2x + 1 +  \frac{2x - 5}{ {x}^{2}  + x + 1} }}}}}

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At the beginning of the day the stock market goes up 30 1/2 points. At the end of the day, the stock market goes down 100 3/4 po
Akimi4 [234]
Well, is namely their difference, so, let's first convert the mixed fractions to "improper", and subtract.

\bf \stackrel{mixed}{30\frac{1}{2}}\implies \cfrac{30\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{61}{2}}&#10;\\\\\\&#10;\stackrel{mixed}{100\frac{3}{4}}\implies \cfrac{100\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{403}{4}}\\\\&#10;-------------------------------\\\\&#10;\cfrac{61}{2}-\cfrac{403}{4}\impliedby \textit{so our \underline{LCD is 4}}\implies \cfrac{(2\cdot 61)~-~(1\cdot 403)}{4}&#10;\\\\\\&#10;\cfrac{122-403}{4}\implies \cfrac{-281}{4}\implies -70\frac{1}{4}
5 0
3 years ago
Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to line 4x - 3y = 8 a
Ronch [10]

 

Hello:<span>
the equation is : y = ax+b
the slope is a : a×(4/3) = -1......( perpendicular to a line with a slope of   4/3)            because :     4x-3y =8...y=(4/3)x-8/3    )     </span>

<span>
a = -3/4         y=(-3/4)x+b
the line that passes through (3, -2) :- 2 = (-3/4)(3)+b
b =1/4
<span> the equation is :  y  = (-3/4)x+1/4</span></span>

5 0
3 years ago
Simplify 3 + 5(x - 4)
tino4ka555 [31]
3+5(x-4)
= 3 + 5x - 20
= 5x - 17

3(x-6) = -12
3x - 18 = -12
3x = 6
x = 2
3 0
3 years ago
Given ƒ(x) = 9x + 54, find x when ƒ(x) = 18. <br> A)−6 B)−4 C)3 D)8
Katen [24]

Answer:

B. -4

Step-by-step explanation:

We want to find x such that f(x)=18.

We need to therefore solve 9x+54=18 forx.

9x+54=18

Divide both sides by 9:

(9x+54)/9=18/9

9x/9+54/9=18/9

Simplify:

x+6=2

Subtract 6 on both sides:

x=2-6

Simplify

x=-4.

So f(-4) should have value 18.

Let's check.

f(x)=9x+54

f(-4)=9(-4)+54

f(-4)=-36+54

f(-4)=18

So the answer is B.

7 0
4 years ago
Read 2 more answers
Simplify the expressions and find the value:
Dahasolnce [82]

Answer:

x(x−3)+2=x.x−3x+2 \\ =x2−3x+2 \\F or x=1 \\ putting \:  x=1  \: in  \: expression \\ x2−3x+2=(1)2−3(1)+2 \\ =1−3+2 \\ =3−3 \\ =0

Solve  \: 3y(2y−7)−3(y−4)−63 for y=−2 \\ First \:  simplify \:  it, \\ =6y2−21y−3y+12−63 \\ =6y2−24y−51 \\ Put \:  y=−2 \: =6(−2)2−24(−2)−51  \\  =6×4+48−51 \: 6×4+48−51 \\  24+48−51 \\ =21

3 0
3 years ago
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