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Goryan [66]
3 years ago
6

Does anyone know how he got from step 1 to step 2??????????

Mathematics
1 answer:
padilas [110]3 years ago
3 0

9514 1404 393

Explanation:

Both sides of the equation are squared.

  \dfrac{x-12}{4}=\sqrt{x} \qquad\text{given}\\\\ \left(\dfrac{x-12}{4}\right)^2=x \qquad\text{square both sides}\\\\ \left(\dfrac{x}{4}-3\right)^2=x \qquad\text{divide out the fraction}\\\\ \dfrac{x^2}{4^2}-\dfrac{6}{4}x+9=x \qquad\text{$(a-b)^2=a^2-2ab+b^2$}\\\\\dfrac{x^2}{16}-\dfrac{5x}{2}+9=0 \qquad\text{subtract $x$}

I like this better without fractions, so would multiply by 16 at this point (or earlier).

  x^2 -40x +144 = 0

  (x -36)(x -4) = 0

  x = 4 or 36 . . . . . . x = 4 is extraneous

The solution is x = 36.

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Can anyone break this down to me?
GuDViN [60]

Answer:

84+36=120

180-120= 60

90-60=30

30+86=116

180-116=64

? =64

7 0
3 years ago
Read 2 more answers
Simplify the following expression. 4.5908 divided by 0.998
lyudmila [28]

Answer:

4.6

Step-by-step explanation:

Hope this helps.

7 0
3 years ago
A child walks 3/10 of a mile in 1\5 hour. At this rate, how far will the child walk in 1 hour
defon

Answer:

1½ mile

Step-by-step explanation:

Given

3/10 mile = ⅕ hour

Required

Determine the distance in 1 hour

Since rate is constant, we have:

3/10 mile = ⅕ hour

Multiply both sides by 5

5 * 3/10 mile = ⅕ hour * 5

15/10 mile = 5/5 hour

3/2 mile = 1 hour

1½ mile = 1 hour

Hence,the child will walk 1½ mile in 1 hour

8 0
3 years ago
What is the approximate percent decrease when a fish count goes down from 850 to 500? The percent decrease is approximately 40%.
Korolek [52]

Answer:

<h2><em>The percent decrease is approximately 40%. </em></h2>

Step-by-step explanation:

Step one:

given data

initial count of fish= 850

final count of fish= 500

Required

% decrease

Step two:

% decrease= final-initial/initial*100

substitute

% decrease= 850-500/850*100

% decrease=350/850*100

% decrease= 0.41*100

% decrease= 40.1%

<em>The percent decrease is approximately 40%. </em>

7 0
3 years ago
Read 2 more answers
Use the quadratic function to predict y if x equals 7.<br> y = 2x2 – 3x + 3
zheka24 [161]

Answer:

80

Step-by-step explanation:

f(7)=2(7)^{2} -3(7)+3

= 2(49)-21+3\\=98-21+3\\=80\\

7 0
3 years ago
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