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murzikaleks [220]

3 years ago

6

While number of minutes is a typical amount of time for the Ten sixth grade students to travel to school, 9 or 4.2

1 answer:

Sever21 [200]3 years ago

3 0

9;!;!;!;!,$,)?:$:?: is

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How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and

omeli [17]

Step-by-step explanation:

$x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\$ (given)

Let us consider :

$x_{1}$ = $t_{1} + 1$

$x_{2}$ = $t_{2}$

$x_{3}$ = $t_{3}$

$x_{4}$ = $t_{4}$

$x_{5}$ = $t_{5}$

Now, by substituting the above considerations in the above equation, we get:

$t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\$

$t_{1} + t_{2} + t_{3} + t_{4} + t_{5} = 20\\$

where,

$t_{i}$ $\geq$ 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = $_{r}^{n + r}\textrm{C}$

= $_{4}^{24}\textrm{C}$

= 10626

Answer :

no. of solutions for the eqn 10626

4 0

3 years ago

What can 25 and 3 both be divided by

dusya [7]

Answer:1

Step-by-step explanation:

because 1 devided by 3 is 3 and 1 devided by 25 is 5

8 0

3 years ago

What is the solution of ?

Tanya [424]

Answer:

of what???????..???..

5 0

3 years ago

Determine if x + 2 is a factor of p(x) = x 4 + 3x 3 + 4x 2 - 8 and explain why.

Andrej [43]

The Factor Theorem says (x - a) is a factor of function p(x) if p(a)=0

so check for p(-2)

= -2^4 +3(-2)^3 + 4(-2)^2 - 8

= 16 - 24 +16 -8

= 0

so (x + 2) is a factor

3 0

3 years ago

Determine which system below will produce infinitely many solutions.

mariarad [96]

A system that will produce infinitely many solutions will have the property where all the equations overlap. That means they will have the same slope and y-intercept.

An easy way to determine if they will produce infinitely many solutions is to put all the equations into $y=mx+b$ form. If everything is the same, you know it will have infinite solutions.

4 0

3 years ago

Read 2 more answers