Answer:
B. 
Step-by-step explanation:
Total surface area of the square pyramid
= 4 times the area of one triangle + Area of square
Answer:
1, 1.5, -1 1/5
Step-by-step explanation:
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
Answer:
5/4
Step-by-step explanation:
hope this helps ;)
Answer:
y=-2+4
Step-by-step explanation:
we know the y intercept is four, so we can plug that into y=mx+b
so far we know y=mx+4
and the equation for finding slope is 
so let's find two points on the graph
let's make it easy on ourselves and use the points laid out for us
(0,4) and (2,0)
solving that would come out to be 
simplified, that would be -2
now that we know the slope, we can put them into slope-intercept form
y=-2+4
