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Advocard [28]
3 years ago
9

What is the constant of proportionality of the relationship shown in the graph?

Mathematics
2 answers:
andrew11 [14]3 years ago
8 0
There is no graph to figure this out...
Salsk061 [2.6K]3 years ago
4 0

Answer: the answer is 3

Step-by-step explanation: I did this lesson and I got the answer right

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What are the steps to (3w^3+7^2-4w+3) and (w+3)
Crazy boy [7]
<span>Equation at the end of step  1  :</span><span> <span> Step  2  :</span></span><span>Equation at the end of step  2  :</span> <span> Step  3  :</span><span> 3w3 + 7w2 - 4w + 3 Simplify /  w + 3 </span>Checking for a perfect cube :

<span> 3.1 </span>  <span> 3w3 + 7w2 - 4w + 3</span>  is not a perfect cube

Trying to factor by pulling out :

<span> 3.2 </span>     Factoring: <span> 3w3 + 7w2 - 4w + 3</span> 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -4w + 3 
Group 2: <span> 3w3 + 7w2</span> 

Pull out from each group separately :

Group 1:   (-4w + 3) • (1) = (4w - 3) • (-1)
Group 2: <span>  (3w + 7) • (w2)</span>

<span>Bad news !! Factoring by pulling out fails :

</span>The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

<span> 3.3 </span>   Find roots (zeroes) of :      <span> F(w) = 3w3 + 7w2 - 4w + 3</span>
Polynomial Roots Calculator is a set of methods aimed at finding values of  w  for which   F(w)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  w  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is <span> 3.

 </span>The factor(s) are:

of the Leading Coefficient : <span> 1,3
 </span>of the Trailing Constant : <span> 1 ,3

 </span>Let us test ....

<span><span>  P   Q   P/Q   F(P/Q)    Divisor</span><span>     -1     1      -1.00      11.00   </span><span>     -1     3      -0.33      5.00   </span><span>     -3     1      -3.00      -3.00   </span><span>     1     1      1.00      9.00   </span><span>     1     3      0.33      2.56   </span><span>     3     1      3.00      135.00   </span></span>


Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

<span> 3.4 </span>   Polynomial Long Division
Dividing : <span> <span>3w3 + 7w2 - 4w + 3</span> 
                              ("Dividend")
</span> By         :   <span> w + 3    ("Divisor")
</span>

<span><span>dividend <span> 3w3 </span>+<span> 7w2 </span>- 4w + 3 </span><span>- divisor<span> <span>* 3w2</span> </span> <span> 3w3 </span>+<span> 9w2 </span>    </span><span>remainder  -<span> 2w2 </span>- 4w + 3 </span><span>- divisor<span> <span>* -2w1</span> </span>  -<span> 2w2 </span>- 6w   </span><span>remainder      2w + 3 </span><span>- divisor<span> <span>* 2w0</span> </span>      2w + 6 </span><span>remainder      - 3 </span></span>

Quotient : <span> <span>3w2 - 2w + 2</span> 
</span> Remainder : <span> -3 
</span>

Final result :<span> 3w3 + 7w2 - 4w + 3 over w + 3 </span>

5 0
3 years ago
Solve for the variable yx7=35
kakasveta [241]
Well you just say 35 divided by 7 and you get 5
Cause 5 times 7 is 35
4 0
3 years ago
The graphs of f(x) and g(x) are shown below:
rosijanka [135]
<h2>Answer:</h2>

Option: C is the correct answer.

            C.)   x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

           f(x)=x^2-x-12

and the function g(x) is given by:

            g(x)=-1.8x-0.6

Now, we are asked to find the solution of the equation:

        f(x)=g(x)

i.e. we have to find the value of x such that both the functions are equal i.e.

x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

ax^2+bx+c=0

is given by:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here we have:

a=5,\ b=4\ and\ c=-57

Hence, the solution is given by:

x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3

6 0
3 years ago
1.  Lisa is working with the system of equations x + 2y = 7 and 2x ‒ 5y = 5. She multiplies the first equation by 2 and then sub
Musya8 [376]
All methods are supposed to be correct in most if not all situations and it should not matter if you use a different method given the options
3 0
3 years ago
Read 2 more answers
How many ways can the numbers 1-100 be arranged
ra1l [238]

Answer: 5 times

Step-by-step explanation:

6 0
3 years ago
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