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Mathematics

2 answers:

bearhunter [10]3 years ago

8 0

Answer:

○ $\displaystyle \frac{2}{3}$

Step-by-step explanation:

In the Slope-Intercept Formula [y = mx + b], b represents the y-intercept and the rate of change [slope] is represented by m so to convert from a Standard Equation to a Slope-Intercept Equation, you simply do this:

4x - 6y = 12

- 4x - 4x

__________

$\displaystyle \frac{-6y}{-6} = \frac{-4x + 12}{-6} \\ \\ y = \frac{2}{3}x - 2$

Therefore, ⅔ is the slope.

I am joyous to assist you anytime.

Marianna [84]3 years ago

5 0

Change the form to slope-intercept form (basically solving for y)

4x - 6y = 12

-6y = -4x + 12

y = 4/6x -2

y = 2/3x - 2

The slope is what is attached to the x variable, which is 2/3

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Solve the simultaneous equations: 3x + 2y = 35 2x + 3y = 30

lesya [120]

Answer:

nuber 1

Simplifying

3x + 2y = 35

Solving

3x + 2y = 35

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3x + 2y + -2y = 35 + -2y

Combine like terms: 2y + -2y = 0

3x + 0 = 35 + -2y

3x = 35 + -2y

Divide each side by '3'.

x = 11.66666667 + -0.6666666667y

Simplifying

x = 11.66666667 + -0.6666666667y

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3 years ago

I need to find the product of f and g. what is the domain and range of the product

velikii [3]

Step-by-step explanation:

Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)

By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.

Domain: {x | all real numbers}

Range: {y | y > 4}

By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.

Domain: {x | all real numbers}

Range: {y | y > 0}