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3 years ago

What is the equation for -5x+6y=12 y=5/6x+2

Mathematics

1 answer:

egoroff_w [7]3 years ago

5 0

Step-by-step explanation:

-5x + 6y = 12

y = 5/6x + 2

-5x + 6y = 12

-5x + 6(5/6x + 2) = 12

-5x + 5x + 12 = 12

x real numbers

(x, y) = (x, 2 + 5/6 x)

You might be interested in

Math expressions that equal 13

qaws [65]

Step-by-step explanation:

There can be a lot of math expressions that may equal 13. Here are some of the expressions that equal 13.

9 + 4 = 13

15 - 2 = 13

1 × 13 = 13

Now, let us consider some interesting expression

$x^3-x^2+x+7$

If the value of x = 2, then the expression will be equal to 13.

i.e.

$2^3-2^2+2+7=13$ ∵ when x = 2

Considering a word problem

'Tom has 10 oranges while Tony has 3 more oranges than Tom. How many oranges Tony has?

Let 'x' be the number of oranges Tom has.

The number of oranges Tony has = x + 3

as Tom has 10 oranges, so x = 10

Therefore, the number of oranges Tony has = x + 3

= 10 + 3 = 13

Therefore, the number of oranges Tony has = 13

7 0

3 years ago

Write the equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6)

Lady bird [3.3K]

Answer (assuming it can be in slope-intercept form):

$y = -2x +10$

Step-by-step explanation:

1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula $y = mx + b$ . Isolate y:

$2x + y = 3\\y = -2x + 3$

The number in place of $m$ , or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.

Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.

2) Now, remember that the slope-intercept form is represented by the formula $y = mx + b$ . In order to write an equation of a line using that formula, we need to substitute values for $m$ and $b$ . We know $m$ is the slope, so we already know what that equals. Now, we just need to find $b$ .

To do that, substitute -2 for $m$ in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate $b$ and find its values:

$y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b$

So, $b$ = 10.

3) Substitute values for $b$ and $m$ into the slope-intercept formula to write the slope-intercept form of the line:

$y = -2x +10$

6 0

3 years ago

What is the slope and the point of y - 5 = 3/2 (x + 3)? please help

goldfiish [28.3K]

y - 5 = 3/2(x + 3)

y - 5 = 3/2x + 9/2

y = 3/2x + 9/2 + 5

y = 3/2x + 19/2

Equation of the line formula : y = mx + c

#So the slope (m) is 3/2

<h2>Answer : 3/2</h2>

4 0

3 years ago

4. A parking lot contains 21 sedans. Sedans are found at a ratio of 7:5 to SUVs in the parking lot. How many

Mice21 [21]

Answer:

they are both divisible by 3

7 x 3 = 21

5 x 3 = 15

Step-by-step explanation:

hope this helps lucas (mr. calvelo)

6 0

3 years ago

A box of oatmeal must contain 16 oz. The machine that fills the oatmeal boxes is set so that, on the average, a box contains 16.

Vadim26 [7]

Answer:

29. 15.87%

30. 4.75%

31. 0.62%

32. probability cannot be calculated (0%)

Step-by-step explanation:

We have that the formula of the normal distribution is:

z = (x - m) / sd

where x is the value we are going to evaluate, m is the mean and sd is the standard deviation

x = 16 and m = 16.5

when sd = 0.5

z = (16 - 16.5) /0.5

z = -1

Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%

when sd = 0.3

z = (16 - 16.5) /0.3

z = -1.67

Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%

when sd = 0.2

z = (16 - 16.5) /0.2

z = -2.5

Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%

when sd = 0

z = (16 - 16.5) / 0

z = infinity

probability cannot be calculated

4 0

4 years ago