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4 years ago

I need help on this I am so confused Just answer the ? marks plz

Mathematics

1 answer:

vodomira [7]4 years ago

7 0

Answer:

Step-by-step explanation:

Let "a" and "b" represent the first and second question marks, respectively. Then you want to find "a" and "b" such that this equation is true for all values of p:

(2/5)p + (5/6) = (a·p +1/2) - ((3/5)p -b)

If we simplify the right side of this equation, we get ...

(2/5)p + (5/6) = (a -3/5)·p + (1/2 +b)

In order for this to be true for all values of p, <em>the coefficients of p must match, and the constant terms must match</em>. That is, ...

2/5 = a - 3/5 . . . . . . coefficients of p
5/6 = 1/2 + b . . . . . . constant terms

These two equations are easily solved in the usual way.

2/5 + 3/5 = a - 3/5 + 3/5 . . . . . add 3/5 to both sides of the first equation

5/5 = a = 1 . . . . . simplify

5/6 - 1/2 = 1/2 - 1/2 + b . . . . . . subtract 1/2 from both sides of the second equation

5/6 - 3/6 = b = 2/6 = 1/3 . . . . . simplify

The first question mark is filled with 1; the second question mark is filled with 1/3.

_____

<em>Comment on this problem</em>

There are many kinds of problems that are solved by "matching coefficients." That is, you identify the coefficient of a particular variable on one side of the equal sign, and you make the coefficient of that variable on the other side of the equal sign match it (have the same value).

Here, we're matching the coefficients of "p", which are 2/5 and (a-3/5). Likewise, we're matching the constants, 5/6 and (1/2 -(-b)). The problem presumes you are comfortable doing arithmetic with fractions and minus signs.

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Answer:

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3 years ago

A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc

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Let x represent amount invested in the higher-yielding account.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

AD is a diameter of a circle and AB is a chord. If AD=34cm, AB=30cm, the distance of AB from the centre of the circle is :

e-lub [12.9K]

Answer:

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Step-by-step explanation:

The chord and the diameter form one leg and the hypotenuse of a right triangle. The other leg, BD, has length ...

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