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RSB [31]
3 years ago
8

4x−6y=36

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

Answer:

y = -6 + 2x/3 = 2x/3 -6

where

2/3 is the slope and -6 is the intercept

Step-by-step explanation:

4x-6y = 36

Simplify

2x - 3y = 18

put y on the LHS

-3y = 18 - 2x

divide by -3

y = -6 + 2x/3 = 2x/3 -6

where

2/3 is the slope and -6 is the intercept

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If the discriminant is 22, then the roots of the quadratic equation are ________________.
Allisa [31]

Since the discriminant given has a value that is greater than zero, hence  the roots of the quadratic equation are real and distinct.

<h3>Discriminant of a quadratic equation</h3>

Quadratic equation is an equation that has a leading degree of 2. The discriminant is used to determine the nature of the equation

If D > 0 , the roots of the quadratic equation are real and distinct.

If D < 0 , the roots of the quadratic equation are complex

Since the discriminant given has a value that is greater than zero, hence  the roots of the quadratic equation are real and distinct.

Learn more on discriminant here: brainly.com/question/2507588

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4 0
1 year ago
A student bought 3 shirts at $12.25 each and 2 pairs of pants at $25.50 each. How much money
4vir4ik [10]

Answer: 87.75

Step-by-step explanation:

Multiply 12.25 times 3 because the student bought 3 shirts

Then multiply 25.50 times 2 because the student bought two pairs of pants

Then add up both your multiplication together and you will get 87.75

3 0
3 years ago
Matt reasoned that he can write 9/1,000 as 0.9. Is he correct? Explain your answer.
GuDViN [60]
No because 9/1,000 in decimals would be 0.009 because if the number was a 3 number then it would go in the tenths
5 0
3 years ago
Find the area between the graph of the function and the x-axis over the given interval, if possible.
vodomira [7]

Answer:

A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5

So then the integral converges and the area below the curve and the x axis would be 5.

Step-by-step explanation:

In order to calculate the area between the function and the x axis we need to solve the following integral:

A = \int_{-\infty}^1 \frac{5}{(x-2)^2}

For this case we can use the following substitution u = x-2 and we have dx = du

A = \int_{a}^b \frac{5}{u^2} du = 5\int_{a}^b u^{-2}du

And if we solve the integral we got:

A= -\frac{5}{u} \Big|_a^b

And we can rewrite the expression again in terms of x and we got:

A = -\frac{5}{x-2} \Big|_{-\infty}^1

And we can solve this using the fundamental theorem of calculus like this:

A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5

So then the integral converges and the area below the curve and the x axis would be 5.

7 0
3 years ago
if you divide a positive number by 12, the answer would be less than the original number? always, sometimes, or never​
elena55 [62]

Answer:

Always

Step-by-step explanation:

The rules for positive numbers is that addition and multiplication makes numbers larger. Subtraction and division makes numbers smaller.

Since 12 is a positive number, the result of dividing a positive number by 12 will make it smaller.

8 0
3 years ago
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