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3 years ago

sally has scores of 88, 92, 80, and 96. find the score she must make on the next exam to have an average of 90

Mathematics

1 answer:

melisa1 [442]3 years ago

3 0

The score range that sally would have to make a 90 average is 85-100

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Solve x2 + 1/2x +1/16=4/9

kolezko [41]

<u>Answer:</u>

x = 0.417 or x = -0.917

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

We are given the following expression and we are to solve it for the variable x:

$x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 }$

We will find the least common multiple of 2. 6 and 9:

$x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144$

Simplifying it to get:

$144x^2+72x+9=64$

$144x^2+72x+9-64=0$

$144x^2+72x-55=0$

Using the quadratic formula to solve for x:

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

$x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}$

$x=\frac{5}{12}$ or $0.417$

$x=-\frac{11}{12}$ or $-0.917$

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