The answer
the full the question is as follow:
<span>Which of the following is an extraneous solution of (45 - 3x)^1/2 =x -9
for solving such an equation, this is the method:
finding the squared value of each member of the equation
</span>[(45 - 3x)^1/2 ]² = (x -9)² (E)
<span>
extend each value of the member
</span>[(45 - 3x)^1/2 ]² = 45 - 3x, because (sqrt a )² = a
the condition is 45 - 3x≥0 ( because of the square root)
it means - 3x≥ -45 and x ≤ 15
(x -9)² = x²-18x + 81
<span>
so </span>45 - 3x = x²-18x + 81, this is equivalent to x² - 15x +36 =0
<span>
this equation should solve for x, for finding the help
Delta = 15² - 4*36 = 81, so x = - (-15) - sqrt (81) / 2 *1=15-9 /2= 3
and </span>x = - (-15) +sqrt (81) / 2 *1= 15 +9/2= 24/2=12
<span>
for x= 12, the equation given above ( equation E) has no solution, because
we can find 3=9
so </span><span>an extraneous solution is x = 12</span><span>
</span>
Answer:
Step-by-step explanation:
1) Vamos reescrevê-la já que há dois termos do 1º grau e portanto, admite simplificação:
![d(x)=\frac{-0,4x}{2}+1,6x+2\\d(x)=\left ( \frac{-0,4+3,2}{2} \right )x+2\\d(x)=\frac{2,8}{2}x+2\\d(x)=1,4x+2](https://tex.z-dn.net/?f=d%28x%29%3D%5Cfrac%7B-0%2C4x%7D%7B2%7D%2B1%2C6x%2B2%5C%5Cd%28x%29%3D%5Cleft%20%28%20%5Cfrac%7B-0%2C4%2B3%2C2%7D%7B2%7D%20%5Cright%20%29x%2B2%5C%5Cd%28x%29%3D%5Cfrac%7B2%2C8%7D%7B2%7Dx%2B2%5C%5Cd%28x%29%3D1%2C4x%2B2)
2) Agora, vamos fazer uma leitura mais atenta da função na qual d, indica "distância" e x
Considerando que José está em cima do muro, e jogou a boa a distância é calculada
![0=1,4x+2\\x=\frac{-2}{1,4}\\x\approx -1.43\\](https://tex.z-dn.net/?f=0%3D1%2C4x%2B2%5C%5Cx%3D%5Cfrac%7B-2%7D%7B1%2C4%7D%5C%5Cx%5Capprox%20-1.43%5C%5C)
Como distância é um valor absoluto, isto é não existem distâncias "negativas" então |-1,43|=1,43
3)
Answer:
C: None of the above
Step-by-step explanation:
The error which Loren made was C. she should have solved 149 = startfraction 19 over 9 endfraction (10) b for b.
<h3>What is an Error?</h3>
This refers to those miscalculations or misjudgments about a situation or a mathematical solution to give wrong values.
Hence, because Loren is solving an equation of 0 = startfraction 19 over 9 endfraction (149) b for b to find the equation of a trend line that passes through the points (1, 130) and (10, 149), the error she made was option C.
This means that using point (10,149) which takes the form (x,y) the equation will be: 149=19/9(10)+b
Read more about maths errors here:
brainly.com/question/5497588
Answer:
$217.00
Step-by-step explanation:
$308÷44=7
31×7=$217.00
Hope this helps :)