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sergejj [24]
2 years ago
5

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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Alex is drawing rectangles with different areas on a centimeter grid . He can draw 3 different rectangles with an area of 12cm s
mojhsa [17]

Answer:

Number of rectangles  could alex draw with an area of 11cm² = 1

Step-by-step explanation:

Minimum length in centimeter grid = 1 cm

Alex is drawing rectangles with different areas on a centimetre grid.He can draw 3 different rectangles with an area of 12cm²

That is

                  12 = 1 \times12\\\\12=2\times6\\\\12=3 \times4

         These are the 3 different rectangles with an area of 12cm².

Now we need to find how many rectangles could alex draw with an area of 11cm².

                    11 = 1 x 11

So only one factorization is possible.

Number of rectangles  could alex draw with an area of 11cm² = 1

6 0
1 year ago
Read 2 more answers
What is the point of intersection when the system of equations below is graphed on the coordinate plane? (1, –3) (–1, 3) (1, 3)
Ainat [17]

( - 1 - 3)
it's lower
5 0
1 year ago
Read 2 more answers
The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is hav
inna [77]

Answer:

57

Step-by-step explanation:

Subtract one player from the total number, because one has to block.

19

Multiply this by the number of goalies there are.

19*3=57

There will be 57 kicks.

3 0
1 year ago
Amanda has 26 nickels and dimes in her piggy bank. the number of nickels is two fewer than three times the number of dimes. how
vitfil [10]
<span>Amanda has 26 nickels and dimes. We shall call nickels x and dimes y. We can write the following equations: x = 3y -2 or -x +3y = 2 x + y = 26 We can cancel out the x to give 4y = 28 or y = 7 If there are 26 coins in total and 7 of them are dimes then there must be 19 nickels. The number of nickels (19) is two fewer than three times the number of dimes ( 3(7) - 2 = 19).</span>
4 0
1 year ago
Blanche bought a 5-year cd for $7100 with an apr of 2.8%, compounded quarterly, but she wants to take all her money out 9 months
katrin2010 [14]
The formula for getting the accumulated amount(compounded) is;
A =P(1+r%)∧n
Where A = Acumulated amount 
            P = principle (deposit)
            r = interest rate and
            n = period
Since the interst is compounded quartly, 
period = (5×4)-3 = 17

A = 7100(1+2.8/100)∧17
   = 7100×1.028∧17
   = 11,353.80

The money she will end up earning in interest on the cd = $11,353.80
4 0
2 years ago
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