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kodGreya [7K]
3 years ago
11

Question 1: Which expression correctly shows 2x^5−54x^2 factored over the integers using the difference of cubes method?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0

Answer:

Question 1:  Option C, 2x^2(x - 3)(x^2 + 3x + 9)

Question 2:  Options 1, 2, 5

Step-by-step explanation:

Question #3

Step 1:  Factor

2x^5 − 54x^2

2x^2(x^3 - 27)

<em>2x^2(x - 3)(x^2 + 3x + 9)</em>

<em />

Answer:  Option C, 2x^2(x - 3)(x^2 + 3x + 9)

Question #2

p(x) = 4x^6 + 32x^3

<u>Step 1:  Factor</u>

4x^6 + 32x^3

4x^3(x^3 + 8)

<em>4x^3(x + 2)(x^2 - 2x + 4)</em>

<em />

Answer:  Options 1, 2, 5

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The corporate team-building event will cost $14 if it has 7 attendees. If there are 9
kobusy [5.1K]

Answer: for 9 attendees it would cost $18

Step-by-step explanation: First you have to find the unit rate. So for every 7 attendees it costs $14, divide them both by the GCF which is 7. 14÷7=2

7÷7=1

So for every 1 attendee it is $2.

Now to figure out how much it would cost for 9 attendees, figure out what you have to do to 1 to get 9. Multiply it by 9.

And whatever you do to one number you have to do for the other. So $2 • 9 = $18

So for every 9 attendees it costs $18.

5 0
3 years ago
A multiplication table. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Consider the highlighted products.
Basile [38]
3, 3x3=9, 3x4=12, 3x5=15, 3x6=18
3 0
3 years ago
Suppose you can factor x^2 +bx +c as (x+p)(x+q) . If c&lt;0, what could be the possible values of p and q?
Anna11 [10]
Ans: Option A

Explanation:
Let's solve it smartly!
Given expression: x^{2} + bx +c --- (A)
Factors: (x+p)(x+q)
Condition: c<0
Now let us expand (x+p)(x+q):
=> x^{2} + (p+q)x + pq  --- (B)

By comparing (B) with (A), we can say that:
pq = c --- (C)

Now, as the condition says, c<0, it means either p or q is negative. Both cannot be positive or both cannot be negative.

1) If p>0, q>0, it means c>0 since (+p)(+q) = (+c)(according to equation (C)). Condition is not met.
Hence, option B and D are wrong.

2) If p<0, q<0 it means c>=0 since (-p)(-q) = (+c)(according to equation (C)). Condition is not met.
Hence option C is out as well.

We are left with Option A:p<0, q>0 it means c<0 since (-p)(+q) = (-c)(according to equation (C)).
Condition is MET!
Hence,
Ans: Option A: p= -3, q= 7
4 0
3 years ago
Read 2 more answers
Plz help ASAP! Ineed part C this is due tonight lol (a) How many cups of flour are there in 4 servings? How many cups of flour a
Arte-miy333 [17]

Answer:

1 1/4 cups of flour

Step-by-step explanation:

First find the amount for 1 serving.

So you divide the amount of 1 1/2 or 1.50 by 4

1.50/4=.375

Now do .375*7= 2.625 cups of flour

Now you need to subtract the amount you already have which is 4 cups.

2.625-1.50= 1 1/4 cups of flour is what you need left


6 0
3 years ago
Is x-2 a factor of 4x^5 +5x^4 +1?
nordsb [41]

Answer:

No

Step-by-step explanation:

By the Factor theorem

If (x - h) is a factor of f(x) then f(h) = 0

Here (x - 2) with h = 2 and f(x) = 4x^{5} + 5x^{4} + 1 , then

f(2) = 4(2)^{5} + 5(2)^{4} + 1

     = 4(32) + 5(16) + 1

     = 128 + 80 + 1

     = 209

Since f(2) ≠ 0 then ( x - 2) is not a factor

 

8 0
3 years ago
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