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FromTheMoon [43]
3 years ago
7

NEED HELP NOW! Use the substitution method to solve the system of equations. choose the correct ordered pair.

Mathematics
1 answer:
tia_tia [17]3 years ago
8 0

x+y=12\\y=x+10\\\\x+(x+10)=12\\2x+10=12\\2x=2\\x=1\\\\y = x+10\\y=1+10\\y=11\\\\x+y=12\\1+11=12\\12=12\\\\x=1\\y=11

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Which hill described in the table is the steepest and why?
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Answer:

C

Step-by-step explanation:

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A business organization needs to make up a 8 member fund-raising committee. The organization has 6 accounting majors and 6 finan
Tasya [4]

Answer:

Total no of ways can the fund raising committee be formed if at least 4 accounting majors are on the committee. = 360

Step-by-step explanation:

Given  -  

A business organization needs to make up a 8 member fund-raising committee.

The organization has 6 accounting majors and 6 finance majors .

Total no of ways can the fund raising committee be formed if at least 4 accounting majors are on the committee.

(1) chose 4 accounting majors  from 6 and chose 4 finance  majors  from 6  =

  =   \binom{6}{4}\times\binom{6}{4}

 =  \frac{(6!)}{(2!)(4!)}\times \frac{(6!)}{(2!)(4!)} = 225

(2) chose 5 accounting majors  from 6 and chose 3 finance  majors  from 6 =  \binom{6}{5}\times\binom{6}{3}

=  \frac{(6!)}{(1!)(5!)}\times\frac{(6!)}{(3!)(3!)} = 120

=

(3) chose 6 accounting majors  from 6 and chose 2 finance  majors  from 6 = \binom{6}{6}\times \binom{6}{2}

= \frac{(6!)}{(6!)(0!)}\times\frac{(6!)}{(2!)(4!)} = 15

Then total no of ways = (1) + (2) + 3

                                       = 360

5 0
3 years ago
What is the area of this trapezoid
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The answer is in the image below

5 0
2 years ago
Mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
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Step-by-step explanation:

6 0
3 years ago
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What is the equation in slope-intercept form of the line graphed below?
SSSSS [86.1K]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the graph, we place two points through which the line passes:

(x_ {1}, y_ {1}) :( 6,0)\\(x_ {2}, y_ {2}) :( 0, -3)

We found the slope:

m = \frac{y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Substituting we have:

m = \frac {-3-0} {0-6} = \frac {-3} {- 6} = \frac {1} {2}

Thus, the equation is of the form:

y = \frac {1} {2} x + b

We substitute one of the points and find the cut-off point:

0 = \frac {1} {2} (6) + b\\0 = 3 + b\\-3 = b\\b = -3

Finally, the equation is:

y = \frac {1} {2} x-3

ANswer:

y = \frac {1} {2} x-3

3 0
3 years ago
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