Answer:
C.
Step-by-step explanation:
The minus sign (of the multiplier -1/3) changes the direction of z by 180°. The magnitude of the multiplier 1/3 reduces the magnitude of the product to 1/3 that of z. The graph that has these characteristics is graph C.
Answer:
1.9°C
Step-by-step explanation:
Let X be the temperature at noon and -2.5°C be the current temperature after the drop.
-We calculate temperature at noon as:

Hence, the temperature at noon was 1.9°C
Step-by-step explanation:
You are correct, it should either be ∫₁² (x)² dx or ∫₀¹ (x+1)² dx.
Answer:
24
Step-by-step explanation:
x-y=8
x=8+y
(8+y) +y =12
2y=4
y=2
x+2=12
x=10
y=2
x=10
10+2= 12
10-2 =8
10*2=20 2*2=4
20+4=24
Answer:
length of the base = 9 ft
and height of the shed = 7 ft
Step-by-step explanation:
given data
volume = 567 cubic feet
base costs = $2 per square foot
roof costs = $5 per square foot
sides costs $4.50 per square foot
solution
we take here length of the base = x ft
and height of the shed = y ft
so Volume will be express as
volume = x²× y
567 = x² × y
y =
and
we know cost of material is express as here
cost of material = cost of base + cost top + cost 4 side ..................1
put here value
cost = x²(2) + x²(5) + 4xy (4.5)
cost = 7x² + 18xy
put here y value
cost = 7x² + 18 x (
)
differentiate and we get
C' = 14x -
we put here C' = 0 and we get
14x -
= 0
solve it we get
x = 9 ft
and
y =
y = 7 ft