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natita [175]
3 years ago
7

one positive number is 28 less than another number. if the reciprocal of the smaller number is added to four times the reciproca

l of the larger number, the sum is 1/6. Find the two numbers

Mathematics
1 answer:
marishachu [46]3 years ago
7 0
Let x represent the larger number.
  1/(x -28) +4/x = 1/6
Multiplying by the product of denominators, we have
  6x +24(x -28) = x(x -28)
In standard form, this is
  x^2 -58x +672 = 0
  (x -42)(x -16) = 0

The two numbers are (-12 and 16) or (14 and 42).

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Basile [38]

The correct answer is

2 cents.

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2 years ago
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hich of the following expressions is equivalent to |x + 4| < 5? A. –5 > x + 4 < 5 B. –5 < x + 4 < 5 C. x + 4 <
Airida [17]

Answer:

option B

Given : |x + 4| < 5

A. –5 > x + 4 < 5

B. –5 < x + 4 < 5

C. x + 4 < 5 and x + 4 < –5

D. x + 4 < 5 or x + 4 < –5

In general , |x|< n where n is positive

Then we translate to -n < x < n

|x + 4| < 5

5 is positive, so we translate the given absolute inequality to

-5 < x+4 < 5

So option B is correct

5 0
3 years ago
Given that € 1 = £0.72<br> a) How much is € 410 in £?<br> b) What is the £ to € exchange rate?
Alekssandra [29.7K]

Answer:

a) 295.2

Step-by-step explanation:

a) cross multiplication method

€1=£0.72

€410=x

x=€410×£0.72

8 0
3 years ago
Help timed test! At which root does the graph...
Anastaziya [24]

Answer:

x = -2

Step-by-step explanation:

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

To find where it will touch the axis set the factor equal to zero and solve.

(x + 2) = 0

subtract 2 from both sides

x = -2

5 0
3 years ago
What is (x+4)(3x+7)/(x+4)(x+2) simplified?
iren2701 [21]

Answer:

\frac{3x+7}{x+2}

Step-by-step explanation:

Given the following question:

\frac{(x+4)(3x+7)}{(x+4)(x+2) }

In order to simplify the expression given we can only cancel the common factor which is four.

\frac{(x+4)(3x+7)}{(x+4)(x+2) }
cf=(x+4)
\frac{x+4}{x+4}
=\frac{3x+7}{x+2}

Cannot be simplified further due to it not having any more common factors. Your answer is "3x + 7 / x + 2."

Hope this helps.

8 0
1 year ago
Read 2 more answers
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