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EleoNora [17]
3 years ago
5

Alexa uses the binomial theorem to correctly expand (x+2)^4. which is one of the terms in alexa's answer?

Mathematics
2 answers:
sammy [17]3 years ago
8 0
^0 ...............1
^1..............1  1
^2............1  2  1 
^3...........1 3  3  1
^4..........1 4 6  4  1

(x+2)^4 = 1(x)^4(2)^0 + 4(x)^3(2)^1 + 6(x)^2(2)^2 + 4(x)^1(2)^3 + 1(x)^0(2)4
             = x^{4} + 8 x^{3} + 24 x^{2} + 32x + 16
Aloiza [94]3 years ago
6 0
The first term is x^4.
The second term is  8x^3
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the perimeter of a rectangular field is (16a+8b-6c) units and one of its side is (5a+3b-4c) find the other side
Jet001 [13]

3a+b+c


The perimeter is two times one side (to account for the opposite) and two times the adjacent side. So if the sides would be x and y, the perimeter would be 2*x + 2*y.

So, knowing that the sum is 16a+8b-6c, if we subtract the given side 5a+3b-4c from this, what remains is two times the "other" side:

16a+8b-6c - 2*(5a+3b-4c) =

16a+8b-6c -10a-6b+8c =

6a+2b+2c

half of that is

(6a+2b+2c)/2 = 3a+b+c

7 0
2 years ago
In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more poin
velikii [3]

Answer:

"Team C scored 130 points."

Step-by-step explanation:

Let x represent how many points team B scored.

Team A: 3x + 6

Team B: x

Team C: x + 45

Total: 476 points

476 = (x) + (3x + 6) + (x + 45)

476 = x + 3x + 6 + x + 45

476 = 5x + 51

425 = 5x

x = 85

Team A:

3(85) + 6

= 261 pts

Team B:

= 85 pts

Team C:

(85) + 45

= 130 points

4 0
2 years ago
Read 2 more answers
Riangle ABC is isosceles. Triangle A B C is shown. The lengths of sides A C and A B are congruent. What is true about the measur
sesenic [268]

Answer: It is equal to the measure of angle C.

Step-by-step explanation:

If we know that Triangle ABC isosceles, then that means two sides and two angles are congruent to each other. Angle A must the topmost angle, and Angle B and C are probably the base angles. So, saying that, the base angles and sides are congruent to each other. Hence, Angle B must be equal to Angle C.

6 0
3 years ago
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4.) What is the better buy?:
Sergeeva-Olga [200]

<em>Answer:</em>

<em>$5 for 8 pens</em>

<em></em>

<em>Step-by-step explanation:</em>

<em>0.625 times 8= 5 dollars</em>

<em>0.625 times 50= 31.25</em>

<em>which is way cheaper</em>

7 0
2 years ago
Read 2 more answers
What is the y-value that goes with an x-value of 5?
Dennis_Churaev [7]

Answer: y = 7- 5x

Step-by Step Explanation: The variable x is multiplied by a larger value here; it's multiplied by 5. So I should expect that my y-values will grow fairly quickly. This means that I should expect a fairly "tall" graph.

First I'll do the T-chart.

T-chart

This equation is an example of a situation in which you will probably want to be particular about the x-values you pick. Because the x is multiplied by a relatively large value, the y-values grow quickly. For instance, you probably wouldn't want to use x = 10 or x = –7 as inputs. You could pick larger x-values if you wished, but your graph would very quickly get awfully tall.

I can see, from my T-chart, that my y-values are getting pretty big on either end (that is, in the positive numbers above the horizontal axis, and in the negative numbers below). I don't want to waste time computing points that will only serve to make my graph ridiculously large, so I'll quit with what I've got so far. But I'm glad I plotted more than just two points, because lines that start edging close to vertical can easily go wrong, if I'm not neat in my work.

Here's my graph:

y = 7 - 5x

7 0
3 years ago
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