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Serhud [2]
3 years ago
8

Put 3x+12y=-96 into slope intercept form

Mathematics
2 answers:
RideAnS [48]3 years ago
6 0

Answer:

y =-1/4x -8

Step-by-step explanation:

3x+12y=-96

Slope intercept form is y = mx +b where m is the slope and b is the y intercept

Subtract 3x from each side

3x -3x+12y=-3x-96

12y = -3x-96

Divide each side by 12

12y/12 = -3x/12 -96/12

y =-1/4x -8

Temka [501]3 years ago
5 0
<h3>QUESTION:-</h3>

<em>put 3x+12y=-96 into slope intercept form</em>

<h3>SOLUTION:-</h3>

As we know that,

The slope intercept form:\pmb{y=mx+c }

where,

  • m=slope
  • c=y-intercept

so,

  • \pmb{3x+12y=-96 }

  • \pmb{12y=-3x-96 }

  • \pmb{y=\dfrac{-3x-96}{12} }

  • \pmb{y=\dfrac{-3x}{12}-\dfrac{96}{12} }

  • \pmb{y=-\dfrac{1}{4}x-8 }
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3.2 miles on average.

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Find the Area ( PLEASE LEAVE EXPLANATION)
LenaWriter [7]

Answer:

28 ft²

Step-by-step explanation:

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To solve for the area of an irregular shape we want to split the irregular shape into regular shapes

For this irregular shape we would split it into a square with a side length of 2ft and a rectangle with a length of 6ft and a width of 4ft ( width was found subtracting total height of irregular figure (6ft) from height of square (2ft) 6ft - 2ft = 4ft so the width would be 4ft)

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the area of a square can simply be found by raising the side length to the power of 2

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3 years ago
When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he wa
DedPeter [7]

Solution :

The formula for the linearization of a function $f(x)$ at a point $x$ = a is given as

$L(x)=f(a)+(x-a)f'(a)$

Assuming the time is t and the distance travelled is $f(t)$, that makes the speed as $f'(t)$.

So substituting them in the linearization formula,

A. At t = 7 minutes

   f(7) = 2.5 km

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  ∴ $L_7(t)=f(7)+(t-7)f'(7)$

             $=2.5+(t-7)0.5$

              $=2.5+0.5t-3.5$

              $=0.5t-1$

B. At t = 18 minutes

      f(18) = 14.8 km

    f'(18) = 0.8 kpm

  ∴ $L_{18}(t)=f(18)+(t-18)f'(18)$

               $=14.8+(t-18)0.8$

              $=14.8+0.8t-14.4$

              $=0.8t-0.4$

C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get

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And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km

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This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.

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Alex

Answer:

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Step-by-step explanation:

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