#3.
in this case, all you need to do is to look at the intersecting point. each units represent 2, the coordinates of the intersection are (4,-1), so D is the choice.
#4. B is the choice. two lines either intersect once (one solution), never (parallel, no solution), or overwrap (merge, infinite solutions)
Answer:
20
Step-by-step explanation:
ƒ(x) = 3x² – 2
g(x) = 4x + 2
1. Add the functions
By definition,
(ƒ + g)(x) = ƒ(x) + g(x)
3x² - 2
<u> + 4x + 2
</u>
3x² + 4x
(ƒ + g)(x) = 3x² + 4x
2. Evaluate (ƒ + g)(2)
(ƒ + g)(2) = 3(2)² + 4(2) = 3(4) + 8 = 12 + 8 = 20
Answer:
its infinite
Step-by-step explanation:
Given equation is 2x+1=x−3
That is 2x−x=−3−1
⇒x=−4
Thus there is only one point on the number line that satisfies the equation x=−4, but on cartesian plane i.e. X-Y plane , there are infinite number of solutions as x=−4, and y can have any real value.
We will be dealing with a system of equations and we'll find the answer by using elimination.
M= members and N= non-members
M+N=353
2.75M+6.50N=1762
We can eliminate M by multiplying the first equation by -2.75.
-2.75m-2.75n=-970.75
2.75m+6.50N=1762
3.75n=791.25
Now divide
791.25/3.75=211
So there was 211 non-member tickets. All we have to do to find the number of member tickets is replace n with its value.
211+m=353
353-211=m=142
There are 142 member tickets. To check our answer, let's put both values in for the second equation.
2.75(142)+6.50(211)
390.50+1,371.50
1762
So, there were 142 members and 211 non-members that came to the play.
