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Sav [38]
3 years ago
14

How many solutions does the equation −4a + 4a + 3 = 8 have? Zero One Two Infinite solutions

Mathematics
1 answer:
Ghella [55]3 years ago
7 0
Hi there!

Let's solve this equation step by step!
- 4a + 4a + 3 = 8

First we collect the terms (the variables 'a', which add up to 0).
3 = 8

Obviously, this expression is FALSE, since 3 doesn't equal 8. Therefore the equation does not have any solutions. Whatever value of 'a' you plug into the equation, the right side of the equation will always be 5 bigger. Hence, the answer is zero.
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620,000 rounded to the nearest ten thousand
lina2011 [118]
Your answer would be 600,000
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Slope=? <br><br> please help
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The sum of 2 numbers is 49. The second number is 15 less than the first number. The first number is
liubo4ka [24]

Answer:

x + y = 49

y = x - 15

Step-by-step explanation:

The sum of 2 numbers is 49 means that x+y = 49. (The two numbers are x and y, and the sum of them are 49.)

The second number is 15 less than the first number, means that y = x - 15 (The second number is y, and it is 15 less than x, which is the first number.)

Therefore the equations will be

x + y = 49

y = x - 15

5 0
3 years ago
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How does the number of solutions of a system depend on ranks of the coefficient matrix and the augmented matrix?
fenix001 [56]

Answer:

The number of solutions of a system is given by the number of different variables in the system, this number has to be the same as the number of independent equations. The coefficients and the augmented matrix of the system show these values in a matrix form. A system has a unique solution when the rank of both matrixes and the number o variables in the system are the same.

Step-by-step explanation:

For example, the following system has 2 different variables, x and y.

x+y=1\\x+2y=5

In order to find a unique solution to the system, the number of independent equations and variables in the system must be the same In the previous example, you have 2 independent equations and 2 variables, then the solution of the system is unique.  

The rank of a matrix is the dimension of the vector generated by the columns, in other words, the rank is the number of independent columns of the matrix.  

According to Rouché-Capelli Theorem, a system of equations is inconsistent if the rank of the augmented matrix is greater than the rank of the coefficient matrix. The inconsistency of the system is because you can't find a combination of the variables that will solve the system.

6 0
3 years ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = eight divided by square root of quantity two x plus
MaRussiya [10]
\bf y=f[\ g(x)\ ]=\cfrac{8}{\sqrt{2x+4}}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;f(x)=\cfrac{8}{\sqrt{x}}\\\\&#10;g(x)=2x+4&#10;\end{cases}\qquad f[\ \underline{g(x)}\ ]=\cfrac{8}{\sqrt{\underline{g(x)}}}\implies f[\ \underline{g(x)}\ ]=\cfrac{8}{\sqrt{\underline{2x+4}}}
3 0
4 years ago
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