3
is the simplify expression
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
g(x) = -3x+1
g(x) = -3(-5) + 1
g(x) = 15 + 1
g(x) = 16
Answer:
The given point is a solution to the given system of inequalities.
Step-by-step explanation:
Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of 
are 
and 
, respectively.
Plugging these values into the first inequality, 
, gives us 
, which simplifies to 
. This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.
Plugging the coordinates into the second inequality, 
, gives us 
, which simplifies to 
. This is also a true statement, so the given point satisfies the second inequality as well. Therefore, 
is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!
Let's plug in each coordinate and see what we get:
(2, 0, 0)
-> 2A + 0 + 0 = D
-> 2A = D
-> A = D/2
(0, 6, 0)
-> 0 + 6B + 0 = D
-> 6B = D
-> B = D/6
(0, 0, 5)
-> 0 + 0 + 5C = D
-> 5C = D
-> C = D/5
plugging this back into the equation:
(D/2)x + (D/6)y + (D/5)z = D [then divide through by D]
(1/2)x + (1/6)y + (1/5)z = 1
and since we have to have integer coefficients,
multiply through by 30
so we get
15x + 5y + 6z = 30
Second question
<span>Take a look at the bottom-left point in the picture.
If you move three points in the y-direction, you'll reach to the point A.
If you instead move up 4 points (or in the z-direction), you reach D.
And finally, if you walk back to point F from point E, you'll have moved back 4 points in the x direction. </span>
<span>This gives us our measurements, or dimensions: 3 x 4 x 4.
If this were a rectangular prism, the dimensions would just be each of them multiplied.
But since it's triangular, you need to divide it by two. That gives you a total volume of
(3x4x4)/2 = 24.</span>
111/210 = about 53%. 52.85714% of 903 is 477.3 students. of course you can't have a fraction of a student so it is 477 students
