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masha68 [24]
3 years ago
8

What is a value of x in the equation 4(2x+1)=27+3(2x-5)

Mathematics
1 answer:
NemiM [27]3 years ago
8 0

Answer:

4

Step-by-step explanation:

8x + 4 = 27 + 6x - 15

Combine Like Terms:

8x + 4 = 12 + 6x

Combine Like Terms:

2x = 8

Combine Like Terms:

X = 4

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Find the largest interval which includes x = 0 for which the given initial-value problem has a unique solution. (Enter your answ
Ivan

Answer:

(-\infty,3)

Step-by-step explanation:

We are given that

(x-3)y''+4y=x

y''+\frac{4}{x-3}y=\frac{x}{x-3}

y(0)=0

y'(0)=1

By comparing with

y''+p(x)y'+q(x)y=g(x)

We get

p(x)=\frac{4}{x-3}

g(x)=\frac{x}{x-3}

q(x)=0

p(x),q(x) and g(x) are continuous for all real values of x except 3.

Interval on which p(x),q(x) and g(x) are continuous

(-\infty,3)and (3,\infty)

By unique existence theorem

Largest interval which contains 0=(-\infty,3)

Hence, the larges interval on which includes x=0 for which given initial value problem has unique solution=(-\infty,3)

7 0
3 years ago
The augmented matrix of a consistent system of five equa- tions in seven unknowns has rank equal to three. How many parameters a
ale4655 [162]

Answer:

4 parameters are necessary to specify all solutions and correspond to the number of free variables of the system.

Step-by-step explanation:

Remember that the number of free variables of a system is equal to m-rank(A) where m is the number of unknowns variables and A is the matrix of the system.

Since the system is consistent and the rank of the matrix is 3 then echelon form of the augmented matrix has two rows of zeros.

Then m-rank(A)=7-3=4.

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Question 3- Please help. Find the area of the sector for the image below:
bezimeni [28]

Answer:

The answer is 16.8 cm^ 2.

6 0
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$29,000; 4% decrease
Sveta_85 [38]

Answer:

$27,840 is the correct answer

Step-by-step explanation:

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Answer:

2x^{3} - x^{2}  - 4x +6

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