It's one of the ways to count it:
3/4 (n + 3) = 9
3/4n + 3/4 * 3 = 9
3/4n + 9/4 = 9
3/4n + 2 1/4 = 9 / - 2 1/4 (both sides)
3/4n = 6 3/4 / : 3/4 (both sides)
n = 9
Answer:
X intercepts are points where a function intersects or cuts through the x axis where y=0.
Step-by-step explanation:
In the function given which is f(x) =x^2 +4x + 3 we see that this is a parabola of which when the graph is drawn it has a U shape so when finding x intercepts of this function it is those points on the function where the graph cuts the x axis and at those two points f(x)= 0, so here Mathieu had made a mistake of factorizing and equating the x intercepts for this function.
For finding the X intercepts let f(x) = 0
therefore 0= x^2 + 4x + 3 now we solve for x
0= (x+1)(x+3)
(x+1)= 0 or (x+3)=0
therefore x=-1 or x=-3
now if you substitute these values onto the function they give f(x)= 0,
f(-1) = (-1)^2 + 4(-1) + 3 = 0
f(-3) = (-3)^2 + $(-3) + 3 =0
now let us look at Mathieus answer which is x+1 = x+3 yes these x values do give the same y value but they are not equal because if you can actually solve this further you would not get a defined answer. Both these are factors of the function but are not actually equal as the function would not be able to be drawn if this was the case.
Answer:
n = -1 n = -7
Step-by-step explanation:
5| 2n+8| +3 = 33
Subtract 3 from each side
5| 2n+8| +3-3 = 33-3
5| 2n+8| = 30
Divide by 5
5/5| 2n+8| = 30/5
| 2n+8| = 6
An absolute value equation has two solutions, one positive and one negative
2n+8 = 6 2n+8 = -6
Subtract 8 from each side
2n+8-8=6-8 2n+8-8 = -6-8
2n = -2 2n = -14
Divide by 2
2n/2 = -2/2 2n/2 = -14/2
n = -1 n = -7
$122 because if you add 55 + 67 you get 122 then you just add the dollar sign
It's 100 N, which follows directly from Newton's third law - for every force acting on a body, that same body exerts a force equal in magnitude in response.
