Answer:
11 invitations each
Step-by-step explanation:
Let the number of invitations they bought be x .
Since they spent the same amount of money, Their total costs would be the same. Hence ;
3.25 + 0.75(x) = 0.5x + 6
0.75x - 0.5x = 6 - 3.25
0.25x = 2.75
x = 2.75/0.25
x= 11 invitations
What kind of mathematics are you learning?
Answer:
33.
Step-by-step explanation:
In order to find range, you must subtract the largest amount given by the smallest amount. In this case, it would be 94-61=33.
Answer:
Point B is located at point (2, 4)
Step-by-step explanation:
Since point M is at the center, you find the distance from point A and add that to the other side.
| -1 - 0.5 | = | -1.5 | = 1.5
| -9 - -2.5 | = | -6.5 | = 6.5
Now we can add that to point M to find point B
0.5 + 1.5 = 2
-2.5 + 6.5 = 4
Point B should be at (2, 4)
Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
