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2 years ago

For what values of a is the sum of the fractions 2a−1/4 and a−1/3 positive?

1 answer:

3 0

$\left(2a-\dfrac{1}{4}\right)+\left(a-\dfrac{1}{3}\right) > 0\\\\(2a+a)-\dfrac{1}{4}-\dfrac{1}{3} > 0\\\\3a-\dfrac{1}{4}-\dfrac{1}{3} > 0\qquad|\cdot12\\\\12(3a)-12\left(\dfrac{1}{4}\right)-12\left(\dfrac{1}{3}\right) > 0\\\\36a-3-4 > 0\\\\36a-7 > 0\qquad|+7\\\\36a > 7\qquad|:36\\\\a > \dfrac{7}{36}$

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Is (yx1)+2 equal to y+2

mars1129 [50]

(yx1) + 2
y + 2
yes you’re right !

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3 years ago

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Two flat, circular plates are placed on a circular tabletop. The diameter of each plate is equal to the radius of the table top.

erastovalidia [21]

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3 years ago

Elisa saved $30 in July,$21.50 in august, and $50 in September. He spent $18 on movies and $26.83 on gas. how much money does El

Eva8 [605]

Answer:

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Step-by-step explanation:

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2 years ago

steve has 500 more marbles than richard at first. he gives 300 marbles to richard. who has more marbles now, and by how many?

Yakvenalex [24]

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3 years ago

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Right the slope intercept form for the line that travels through (4,-1) and is parallel to y=1/4x

ololo11 [35]

Answer:

Step-by-step explanation:

The slope is given to you by the line y = 1/4 x

The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.

The second part of the question is to use the given point to find b.

x = 4

y = -1

b = ? substitute x and y to find b

y = 1/4 * 4 + b

- 1 = 1/4 * 4 + b

-1 = 1 + b

-2 = b

The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.

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2 years ago