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Artemon [7]
3 years ago
5

Determine the intercepts of the line.

Mathematics
1 answer:
a_sh-v [17]3 years ago
7 0

Answer:

y-intercept:  -18

x-intercept: 9/4

Step-by-step explanation:

Substitute x = 0, we find that y = -18 i.e. the y-intercept is -18.

Substitute y = 0, we find that x = 9/4 i.e. the x-intercept is 9/4.

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How do I find the critical points?
podryga [215]
Critical points is where the derivative (slope) is zero or does not exist. So to do this we have to find the derivative of our function:

\frac{d}{dx}(x^{2} - 1)^{3}

So we apply chain rule:

= 3(x^{2} - 1)^{2} * 2x

Set our first derivative to zero and solve for x:

3(x^2 - 1) * 2x = 0

So we can see that (by plugging in) 0, -1 and 1 makes our solution true

So our critical value is x = 0, x = -1, x = 1
5 0
4 years ago
Find the sum and difference (first mixed number minus the second mixed number) for the following pair of mixed numbers. The answ
xz_007 [3.2K]

Answer:

Sum = 15 8/15, Difference = 1 2/15

Step-by-step explanation:

8⅓, 71/5

A. Sum

8⅓ + 7 1/5

Convert to improper fraction

25/3 + 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) + (36×3)] / 15

[125 + 108] / 15

233 / 15

Convert to mixed fraction

15 8/15

B. Difference

8⅓ – 7 1/5

Convert to improper fraction

25/3 – 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) – (36×3)] / 15

[125 – 108] / 15

17 / 15

Convert to mixed fraction

1 2/15

SUMMARY:

Sum = 15 8/15, Difference = 1 2/15

3 0
3 years ago
Side length of cube with volume of 729 ft
navik [9.2K]
The answer is 9, hope this helped <3
6 0
3 years ago
Bethany and Aidan each have candy bars that are the same size and shape. Bethany's candy bar is marked so that it can be broken
vivado [14]

Answer:

Step-by-step explanation:

This problem is most likely about what percentage of the candy does each individual have left. Since the phrase is explaining that each ones candy bar is the same size and can be broken into equally divided pieces then it is most likely about figuring out which one of the individual's has more candy left over when compared to the other's candy. This is possible since both candies are the same size but more information would be needed.

3 0
3 years ago
A jar contains 2 red and 4 blue marbles. A marble is drawn from the jar. What is the probability that a red marble will be drawn
allsm [11]
Salutations!

<span>A jar contains 2 red and 4 blue marbles. A marble is drawn from the jar. What is the probability that a red marble will be drawn?

So lets solve this! 

Probability is an event of chance; an occurrence of chance.

The probability that a red marble will be drawn is 2/6

Simply 2/6 which is 1/3

Thus, your answer is option C.

Hope I helped :D
</span>
5 0
3 years ago
Read 2 more answers
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