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2 years ago

If a linear system has four equations and seven variables, then it must have infinitely many solutions. True or False

Mathematics

1 answer:

Savatey [412]2 years ago

7 0

Answer:

The statement is False.

Step-by-step explanation:

Consider the provided information.

If a linear system has four equations and seven variables, then it must have infinitely many solutions.

We need to determine the above statement is true or false.

The above statement is false, it could be inconsistent, and therefore have no solutions,

For example:

$x_1+x_2+x_3+x_4 +x_5+x_6+x_7=0\\x_1+x_2+x_3 =1\\x_4 +x_5 =1\\x_6+ x_7=1$

Hence, there is no solution.

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You were charged interest of $6.31 for purchases (near section 8) why?

fenix001 [56]

The answer is C. you are usually only charged interest by your bank when you barrow more than your credit limit.

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2 years ago

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Write an equation for “a number decreased by -4 is equal to 15”. Then solve the equation.

Alexxx [7]

Answer:

Step-by-step explanation:

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1 year ago

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?

Nady [450]

For this case we have the following polynomial:
$x ^ 2 = 12x - 15
$
The first thing to do is to place the variables on the same side of the equation.
We have then:
$x ^ 2 - 12x = -15
$
We complete the square by adding the term (b / 2) ^ 2 on both sides of the equation.
We have then:
$x ^ 2 - 12x + (-12/2) ^ 2 = -15 + (-12/2) ^ 2
$
Rewriting we have:
$x ^ 2 - 12x + (-6) ^ 2 = -15 + (-6) ^ 2

x ^ 2 - 12x + 36 = -15 + 36
 
(x-6) ^ 2 = 21$
$x-6 =+/- \sqrt{21}$
Therefore, the solutions are:
$x = 6 - \sqrt{21}$
$x = 6 + \sqrt{21}$
Answer:
the solution set of the equation is:
$x = 6 - \sqrt{21}$
$x = 6 + \sqrt{21}$

3 0

1 year ago

Read 2 more answers

There were 8,651 deaths and 14,662 births reported in Hillsborough County in the year 2000. If there were 998,948 people living

alexdok [17]

Crude birth rate is all the time reported per 1000 living people.

To compute for this, the formula is number of births x 1000 divided by the estimated population at midyear. So plugging in the values given:

14,662 x 1000 divided by 994,948

= 14662000 / 994948

= 14.68 per 1000 living people.

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2 years ago

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Eighty-five more than the square of a number is the same as the square of the quantity that is $17$ less than the number. What i

Usimov [2.4K]

To solve that we first need to write it as an equation where x is the number:
85 + x^2 = (x-17)^2
85 + x^2 = x^2 - 34x + 289
Now organize the equation by gathering like terms in the same side lf the equation:
You can shift 85 to the other side by subtracting 85 from both sides of the equation:

85 - 85 + x^2 =x^2 34x +289 - 85
x^2 =x^2 + 34x +204

And shift x^2 to the other side by subtracting x^2 from both sides:
x^2 - x^2 =x^2 -x^2 + 34x +204
0 = 34x + 204

Shift 34x to the other side by subtracting 34x from sides
-34x = 34x - 34x + 204
-34x = 204

And now isolate x by dividing both sides of the equation by -34
-34/-34x = 204/-34
x = -6
Thats your awnser , the number is -6
I hope you understood my brief explanation...

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2 years ago