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morpeh [17]
3 years ago
8

Solve 5x-y=5 and 2y-x^2=11 without using trial improvement

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

Answer:

x = 7, y = 30  and  x = 3, y = 10

Step-by-step explanation:

5x - y = 5, then y = 5x - 5

2y - x^2 = 11

2(5x - 5) - x^2 = 11

10x - 10 - x^2 = 11

-x^2 + 10x -10 = 11

-x^2 + 10x -21 = 0

x^2 - 10x + 21 = 0

(x - 7)(x - 3) = 0

x = 7, y = 30

x = 3, y = 10

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(# of cars washed) = (# cars washed per day)(# of days)

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5 0
3 years ago
You just rode your bike for 45 minutes and burned 560 calories. How many calories did u burn per minute? plz hurry
Pepsi [2]
If you burned the same number of calories every minute while you kept biking for 45 minutes, and burned a total of 560 calories, then the number of calories burned per minute is 560/45=112/9
7 0
3 years ago
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Setler [38]
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6 0
3 years ago
What is the common ratio between successive terms in the sequence?
Cloud [144]

Question:

What is the common ratio between successive terms in the sequence?

27, 9, 3, 1

Answer:

common ratio = \frac{1}{3}

Step-by-step explanation:

In a geometric progression, the common ratio, r, is the ratio of a term in the sequence to a preceding term in that same sequence. In other words, the common ratio is found by dividing a term by the term just before it. For example, if the geometric sequence is:

a, b, c, d...

The common ratio is found by any of the following;

r = \frac{b}{a}        ----------(i)

r = \frac{c}{b}        -----------(ii)

r = \frac{d}{c}        ------------(iii)

Any of equations (i) through (iii) will give the common ratio of the sequence.

============================================================

Now, from the question, the given sequence is;

27, 9, 3, 1

To get the common ratio, just divide the second term (9) by the first term (27) i.e

r = \frac{9}{27} = \frac{1}{3}

OR

You can also divide the third term (3) by the second term (9). i.e

r = \frac{3}{9} = \frac{1}{3}

OR

You can choose to divide the fourth term (1) by the third term (3). i.e

r = \frac{1}{3}

Which ever adjacent terms you choose gives you the same result. Therefore, the common ratio of the given sequence is \frac{1}{3}

7 0
3 years ago
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Y = 3x - 1

The slope is 3, y goes up 3 for every increase in x
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