Answer: 1,733,760
Step-by-step explanation:
The number of combinations of selecting m things from n things is given by :-
Given : There are 21 mathematics majors and 129 computer science majors at a college.
Then, the number of ways to pick 4 representatives, so that 2 are mathematics majors and the other 2 are computer science majors :-
Hence, the number of ways to pick 4 representatives, so that 2 are mathematics majors and the other 2 are computer science majors =1,733,760
4/3*z=20
Rearrange
Multiply by 3
4*z=60
Divide by 4
Z=15
Answer:
a^2 + 2a + 2
Step-by-step explanation:
replace x with (a +1) everywhere in the equation
f(a+1) = (a+1)^2 + 1
➡
a^2 + 2a + 1 + 1
Answer:
X = 1
Step-by-step explanation:
To solve the system of equation by susbtitution:
3x + y = 9
y = –4x + 10
We can follow the steps thus:
<em />
<em>Substitute the value of y in the first equation:</em>
As in the second equation y = -4x + 10 we can substitute in the first equation as follows:
3x + y = 9
3x + -4x + 10 = 9
<em>Combine like terms: </em>
3x + -4x + 10 = 9
Like therms are the therms with X (3x - 4x = -1x):
-1x + 10 = 9
<em>Apply the subtraction property of equality: </em>
-1x + 10 = 9
As 10 is suming, it passes to subtracting the 9:
-1x = 9 - 10
-1x = -1
<em>Apply the division property of equality:</em>
-1x = -1
Dividing in -1:
x = -1 / -1
<h3>X = 1</h3>
Answer:
Slope: 0
x-intercept: there isnt one
y-intercept: 2
Step-by-step explanation:
the easiest way to look at this is to put it in the form y=mx+b where m is the slope and b is the y intercept. when we just think about what y=2 would look like, we can imagine a straight horizontal line at y=2. No matter what x value you choose, y will always equal 2. We know the slope (m) of any horizontal line is zero because there is no rise and zero divided by anything is going to be zero. we also know if y is always equal to 2 the y intercept will be 2. this would give us y=0x+2. to find the x intercept we just need to set y equal to zero in this equation. this gives us 0=0x+2 or 0=2 which can never be true, therefore there will be no x intercept.
