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Nookie1986 [14]
2 years ago
9

17 feet 5 inches - 8 feet 3 inches feet inches equals​

Mathematics
1 answer:
ella [17]2 years ago
6 0

Answer:

9ft. 2in.

Step-by-step explanation:

17ft. 5in. = 209in.

8ft. 3in. = 99in.

209in. - 99in. = 110in.

110 in. = 9 ft. 2 in.

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Answer:

Jordan made mistake in his first step while multiplying.

Step-by-step explanation:

Given expression of Jordan's work is

14(8+4x) = 6x-(5-11x)

In the first step, Jordan multiplied the numbers to remove the braces.

He multiplied 14(8+4x) wrong as 14*8 is 112 rather than 126and on the right hand side, he did not change the sign of 11x to positive as two negatives are positive when multiplied.

Hence,

Jordan made mistake in his first step while multiplying.

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2 years ago
The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What
inn [45]

<span><span> x2-16x+48=0</span> </span>Two solutions were found :<span> x = 12 x = 4</span>

Step by step solution :<span>Step  1  :</span>Trying to factor by splitting the middle term

<span> 1.1 </span>    Factoring <span> x2-16x+48</span> 

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -16x </span> its coefficient is <span> -16 </span>.
The last term, "the constant", is <span> +48 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • 48 = 48</span> 

Step-2 : Find two factors of  48  whose sum equals the coefficient of the middle term, which is  <span> -16 </span>.

<span><span>     -48   +   -1   =   -49</span><span>     -24   +   -2   =   -26</span><span>     -16   +   -3   =   -19</span><span>     -12   +   -4   =   -16   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  -4 
                     <span>x2 - 12x</span> - 4x - 48

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    4 • (x-12)
Step-5 : Add up the four terms of step 4 :
                    (x-4)  •  (x-12)
             Which is the desired factorization

<span>Equation at the end of step  1  :</span> (x - 4) • (x - 12) = 0 <span>Step  2  :</span>Theory - Roots of a product :

<span> 2.1 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

 </span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 2.2 </span>     Solve  :    x-4 = 0<span> 

 </span>Add  4  to both sides of the equation :<span> 
 </span>                     x = 4 

Solving a Single Variable Equation :

<span> 2.3 </span>     Solve  :    x-12 = 0<span> 

 </span>Add  12  to both sides of the equation :<span> 
 </span>                     x = 12 

Supplement : Solving Quadratic Equation Directly<span>Solving <span> x2-16x+48</span>  = 0 directly </span>

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex :

<span> 3.1 </span>     Find the Vertex of   <span>y = x2-16x+48</span>

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3 years ago
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