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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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What is 3.0871212 in fraction
Luda [366]
3  217803/2500000 is 3.0871212 as a fraction
4 0
3 years ago
The base of a triangle is 7 inches more than 4 times the height. If the area of the triangle is 93 square inches, find the base
Galina-37 [17]

Answer:

Step-by-step explanation:

Let the height = h

Let the base = 4h + 7

Area of a triangle = 1/2 * b * h

Area = 93 square inches

1/2 * (4h + 7)* h = 93            Multiply both sides by 2

(4h + 7) * h = 93*2

(4h + 7)*h = 186                    Remove the brackets

4h^2 + 7h = 186                   Subtract 186 from both sides.

4h^2 + 7h - 186 = 0

Use the quadratic formula to solve

a = 4

b = 7

c = - 186

x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4

x1 = (-7 + sqrt(49 - 16*(-186)) / 8

x1 = (-7 + sqrt(49 + 2976)) / 8

x1 = (-7 + sqrt(3025)) / 8

x1 = (-7 +55 ) / 8

x1 = (48)/8

x1 = 6

There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75

h = 6

b = 4*6 + 7 = 31

Check

Area = 1/2 * b * h

Area = 1/2 * 31 * 6

Area = 1/2 *186

Area = 93 which is what we were given so the answer is correct.

4 0
2 years ago
The value of the the expression:
Karo-lina-s [1.5K]

Answer:

5000

Step-by-step explanation:

Let's start by evaluating what we are given. 50 times the sum of 64 and 36. Ok, so 50 times which is the way to write x (multiply) and the sum of 64 and 36 is another way to write 64 + 36.

Lets put this together now!

50 x ( 64 + 36 ) = 50 x ( 100 )

                         = 5000

7 0
3 years ago
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Answer:

A

Step-by-step explanation:

It says the both dimensions are 30%. So, it we do 31 divided by 6, it would be 5 with a remainder of one, which is also equal to 5.1. If we then multiply it by 4, then divide by 9, that would be .03.

3 0
3 years ago
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