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Lera25 [3.4K]
2 years ago
6

Gcf of 6x^3, 8x^5, 10x^7

Mathematics
1 answer:
Art [367]2 years ago
5 0

Answer: 2x^3

Step-by-step explanation: Find the prime factors of each term in order to find the GCF (Greatest Common Denominator).

Hope this helps you out! ☺

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Describe the steps you would take to sketch the graph p(x)=2x^(3)+7x^(2)-3x-18
mojhsa [17]

Answer:

When we have a given function, y = f(x), the general way of graphing the function is finding a lot of coordinate pairs (x, f(x)) and graphing them in a coordinate axis, and then connect them.

So here we have:

p(x) = 2x^(3)+7x^(2)-3x-18

Just let's find the value of p(x) for different values of x, and let's do it.

p(0) = 2*0^(3)+7*0^(2)-3*0-18 = -18

Then the point (0, -18) belongs to the graph

p(1) = 2*1^(3)+7*1^(2)-3*1-18 = 2 + 7 - 3 - 18 = -12

then the point (1, - 12) belongs to the graph.

p(-1) =  2*(-1)^(3)+7*(-1)^(2)-3*(-1)-18  = -2 + 7 + 3 - 18 = -10

then the point (-1, -10) belongs to the graph:

p(2) =  2*2^(3)+7*2^(2)-3*2-18 = 16 + 28 - 6 - 18 =  20

Then the point (2, 20) belongs to the graph

p(-2) =  2*(-2)^(3)+7*(-2)^(2)-3*(-2)-18 = -16 + 28 + 6 - 18 = 0

Then the point (-2, 0) belongs to the graph.

p(-3) =  2*(-3)^(3)+7*(-3)^(2)-3*(-3)-18 = -54 + 63 + 9 - 18 = 0

Then the point (-3, 0) belongs to the graph.

Now that we have 6 points we can graph them and try to connect them.

We also know that this is a cubic polynomial, so we can expect that it changes its direction two times (no more than that) then knowing that we can estimate a shape for the graph, and you will obtain something like the graph of the image below, where I just connected the known points.

6 0
2 years ago
Eugene can type 55 words per minuet. Allen can type 80 words in 2 minuets. If Eugene and Allen each type for 30 minuets, how man
Art [367]

Answer:

Step-by-step explanation:

55x30=1650 80/2=40 40x30=1200

1650-1200=450 Therefore Eugene has type 450 more words then Allen has

7 0
2 years ago
children's $30 per day plus $5 for every sale that she makes at her job on Thursday she wants to earn at least $60
professor190 [17]
Approximately 2 days to make at least 60 dollars.
3 0
3 years ago
An mp3 player is on sale for 25% off. The original price is $52.60. What is the sale price?
Paha777 [63]
First, you need to find 25% of 52.60

Convert 25% to decimal:
25% = .25

Find 25% by multiplying its decimal equivalent by the sales price.

.25 x 52.60 = 13.15

Next, subtract that amount from 52.60 to find the new sale price.

52.60 - 13.15 = 39.45

The final price is $39.45
4 0
3 years ago
Imelda needs to convert 440 centimeters per minute to meters per hour .Which conversion factors should she use
tatuchka [14]
<span>1cm/0.01m and 60min/1h</span>
6 0
3 years ago
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