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3 years ago

Is 0 an integer? i need help

Mathematics

1 answer:

snow_lady [41]3 years ago

4 0

Answer:

Yes it is an integer

Step-by-step explanation:

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Solve the simultaneous equations 4x+3y=1 4x^2+3xy+y^2=2

Fantom [35]

Notice that the second equation,

4x ² + 3xy + y ² = 2

can be written as

x (4x + 3y) + y ² = 2

and the first equation says 4x + 3y = 1, so this reduces to

x + y ² = 2

Solve the first equation for x :

4x + 3y = 1

4x = 1 - 3y

x = (1 - 3y)/4

Substitute this into the reduced second equation to get a quadratic equation in y, which happens to be easily factorized and solved:

(1 - 3y)/4 + y ² = 2

1 - 3y + 4y ² = 8

4y ² - 3y - 7 = 0

(4y - 7) (y + 1) = 0

4y - 7 = 0 or y + 1 = 0

y = 7/4 or y = -1

Solve for x :

x = (1 - 3 (7/4))/4 or x = (1 - 3 (-1))/4

x = -17/16 or x = 1

So the two solutions are (x, y) = (-17/16, 7/4) and (x, y) = (1, -1).

8 0

3 years ago

The coordinate axes divide the xy-plane into four sections called

Crazy boy [7]

Quadrants :)))))))))))

4 0

3 years ago

What is the initial value of the equation shown? y = −7x − 6

Gwar [14]

Answer:

$y = -6$

Step-by-step explanation:

Given

$y = -7x-6$

Required

Determine the initial value

The initial value of any equation is the point where

$x = 0$

Substitute 0 for x in $y = -7x-6$

$y = -7 * 0 - 6$

$y=0-6$

$y = -6$

Hence, the initia; value is -6

3 0

3 years ago

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Jan 258:00:56 AM

horsena [70]

Answer:

The equation of the straight line in point-slope form

$y - 4 = \frac{7}{9} (x-0)$

The equation of the straight line

7x -9y +36 =0

Step-by-step explanation:

Step(i):-

Given that the points (0,4) and (-9,-3)

The slope of the line

$m = \frac{y_{2} - y_{1} }{x_{2}- x_{1} } = \frac{-3-4}{-9-0} = \frac{7}{9}$

Step(ii):-

Equation of the straight line passing through the point (0,4) and having slope m = 7/9

$y - y_{1} = m (x-x_{1} )$

$y - 4 = \frac{7}{9} (x-0)$

9 y - 36 = 7x

9y = 7x + 36

$y = \frac{7x}{9} +\frac{36}{9}$

Slope - intercept form

$y = \frac{7x}{9} +4$

Final answer:-

The equation of the straight line in point-slope form

$y - 4 = \frac{7}{9} (x-0)$

The equation of the straight line

7x -9y +36 =0

8 0

3 years ago

What is the sum of 2/9 + 1/9

Andrews [41]

Two of anything plus another one of the same thing always results in a total of 3 of them. It doesn't matter whether the things are cows, mushrooms, ideas, or rocks. In this question they happen to be ninths.

7 0

3 years ago

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