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Tamiku [17]
3 years ago
8

Solve the following system.

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0
<h3>The solutions are:</h3>

(0, -1)\ and\ (\frac{1}{3}, 0)

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

y = 3x^2 + 2x-1-------- eqn 1\\\\\3x-y=1 ------- eqn 2

From eqn 2,

3x - y = 1

y = 3x - 1

<em><u>Substitute the above in eqn 1</u></em>

3x -1 = 3x^2 + 2x - 1\\\\3x^2 + 2x - 3x =0\\\\3x^2 -x = 0\\\\x(3x - 1) = 0\\\\Therefore,\\\\x = 0\\\\And\\\\3x - 1 = 0\\\\3x = 1\\\\x = \frac{1}{3}

<h3>When, x = 0 </h3>

Substitute x = 0 in eqn 2

3(0) - y = 1

y = -1

<h3>When x = 1/3</h3>

Substitute x = 1/3 in eqn 2

3\frac{1}{3} - y = 1\\\\ 1 - y = 1\\\\y = 0

Thus solutions are:

(0, -1)\ and\ (\frac{1}{3}, 0)

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Write the number 3.8 in the form a/b using integers
Juliette [100K]

Answer:

3.8 = 38/10

Step-by-step explanation:

The given number = 3.8

We have to write 3.8 in fraction form a/b

Here we have 1 digit after the decimal. To get rid off the decimal number, we need to multiply both the numerator and the denominator by 10 since we have to 1 digit after the decimal.

\frac{3.8 *10}{10}

= 38/10

Therefore, the answer is 3.8 = 38/10

Thank you.

6 0
3 years ago
Radical 8 plus radical 18
maxonik [38]

Answer:

5√2

Step-by-step explanation:

√8 + √18

We first have to find what is the largest perfect square that goes into √8:

4 is the largest, so therefore → √8 gives you 2√2:

Work: √4 * √2 → 2 * √2 → 2√2

Now we have to find what is the largest perfect square that goes into √18:

9 is the largest, so therefore → √18 gives you 3√2:

Work: √9 * √2 → 3 * √2 → 3√2

Because 2√2 and 3√2 have the same "base" of √2, they can be added together:

2√2 + 3√2 = 5√2 (The "bases" are to be left alone!)

7 0
3 years ago
A tv costs £800. Work out the price after a 3% discount.
Blababa [14]

3% = 800/ 100 = 8, 8x3= 24

800-24 = 776

£776

5 0
2 years ago
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12. Karen baked chocolate chip cookies and sugar cookies. She baked 30 chocolate chip cookies and times as many sugar
sergeinik [125]

Answer:

150

Step-by-step explanation:

30=chocolate chip

120=sugar

30+120 = 150!

the answer is 150 not sure why its not one of the options

8 0
3 years ago
Find the value of each variable
kondaur [170]

Answer:

The correct answer is option C

a = 10√3, b = 5√3, c = 15 and d = 5

Step-by-step explanation:

Points to remember

The angles of a right angled triangle, 30°, 60° and 90° then sides are in the ratio, 1: √3 : 2

<u>To find the value of variables</u>

From the figure we can see 2 right angled triangle with angle 30, 60 and 90

we get, d= 5 then b = 5√3

b = 5√3  the c = 5√3 * √3 = 15

and a = 2 * 5√3 = 10√3

Therefore the correct answer is option C

a = 10√3, b = 5√3, c = 15 and d = 5

4 0
2 years ago
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