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lukranit [14]
3 years ago
14

the equation 4(x+9)=76 models this situation which choice shows the sequence of operations neede to slove this problem using bot

h arithmetic and algebra
Mathematics
1 answer:
laiz [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

4(x+9)=76  Equation/Question

Step 2

4(x+9)=76  Remove parenthesis by multiplying 4

4x+36=76

Step 3

4x+36=76  Subtract 36 from sides

4x=40

Step 4

4x=40  Divide sides by 4

answer

x=10

Hope this helps

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P(x)= 3x^3-5x^2-14x-4
nexus9112 [7]
   
\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\


\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)


\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm  \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm  \sqrt{4+16}}{2}=\frac{2\pm  \sqrt{20}}{2}=\frac{2\pm  2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}



7 0
3 years ago
How do you write 4.40 × 10^3 in standard form?
Sindrei [870]

Answer:

4400 is the answer

Step-by-step explanation: You move the decimal point to the right 3 spaces. If it was 10^-3 you would move the decimal point to the left 3 spaces.

8 0
3 years ago
What is length weight height and value mean
mash [69]
Oh don't worry it means length,width and height so you multiply LxWxH
3 0
3 years ago
Your school district cancels schools when more than 2.5 inches of snow accumulate on the ground each hour. Snow is currently acc
kari74 [83]

Answer:

Extra snow needed > 0. 3 inch

Step-by-step explanation:

Given that:

Cancelation occurs when > 2.5 inch of snow accumulates each hour

Accumulation rate = 11/5 inch per hour

Extra snow Accumulation needed to cancel. School ;

Extra snow needed > cancelation volume - current rate

Extra snow needed > (2.5 - 11/5)

Extra snow needed > 0. 3 inch

5 0
3 years ago
25 points!!!
professor190 [17]

Answer:

x+y=12

Step-by-step explanation:

First, substitute 3y for the spots with x:

2(3y) + 2y = 24

6y+ 2y = 24

8y= 24

y= 3

Then sub in 3 in the y place:

x= 3(3)

x= 9

Then plug in the x and y values in the equation:

9 + 3 =12

Good Luck!!!

plz mark me Brainliest!

3 0
3 years ago
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