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2 years ago

What is the x-intercept in this linear equation? 2y - 4X =-12

Mathematics

2 answers:

Zinaida [17]2 years ago

7 0

Answer:

(3,0)

Step-by-step explanation:

We know that x intercepts is when the graph crosses the x-axis. Thus, all x intercepts have a y value of 0. (x, 0)

Therefore, we can set y to 0 to see when the graph equals y=0 or the x-axis.

2(0)-4x=-12

-4x=-12

x=3

Savatey [412]2 years ago

4 0

Answer:

X - Intercept = (3,0)

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Could anyone help me with this question? Thank you!

shutvik [7]

Answer:

Step-by-step explanation:

We want to simplify the rational expression:

$\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}$

First, we can factor both the numerator and the denominator. This yields:

$\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}$

Cancel like terms:

$\displaystyle =\frac{(n^2-6)}{(n^2-2)}$

However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.

Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):

$(n^2-2)(n^2-5)=0$

Solve for n. By the zero product property:

$n^2-2=0\text{ and } n^2-5=0$

Therefore:

$n^2=2\text{ and } n^2=5$

By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):

$n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5$

Therefore, our fully simplified expression is:

$\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2$

Hence, our answer is C!

4 0

2 years ago

8.6 dived by 3.3 and the other way around

german

8.6 divided by 3.3 = 2.60606
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6 0

2 years ago

If the mean, median, and mode are all the same for 4, 9, 7, 8, and x, what is the value of x?

seropon [69]

<h3>Answer: x = 7</h3>

===========================================================

Explanation:

Since we have an odd number of values, this tells us that the median is part of the data set. It's the middle most item after we sort the values.

Recall that the mode is the most frequent item. Since the mode and median are the same, this must mean x can only be equal to one of the following

4, 9, 7 or 8

We can only pick one of those values.

----------------------

If x = 4, then the set {4,9,7,8,x} updates to {4,9,7,8,4} which sorts to {4,4,7,8,9}

The middle most item is in slot 3, which would be 7. So the median is 7.

The median 7 does not match with the mode 4.

So we cross x = 4 off the list.

-----------------------

If x = 7, then we have {4,7,7,8,9}

The mode is 7 and the median is 7. So far, so good.

Now let's compute the mean. Add up the values and divide by 5 because there are 5 items.

(4+7+7+8+9)/5 = 35/5 = 7

We've shown that the set {4,7,7,8,9} has mean 7.

Overall, that set has the same mean, median and mode. So the answer is confirmed.

I'll let you check the cases when x = 8 and x = 9.

8 0

3 years ago

B) if it takes the car 36 minutes to drive down the road, what will it's average speed be?

attashe74 [19]

Answer:

Incomplete question.

Step-by-step explanation:

You've only provided the time.

Please provide the distance of the road.

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1 year ago

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