Answer:
Option (a). The equation
Step-by-step explanation:
Rate of change of any equation or graph is represented by its slope 'm'.
In an equation y = mx + b
'm' represents the slope.
Given equation is,
y = 0.25x
Slope of the line m₁ = 0.25
From the graph attached,
A line passes through two points (0, 0) and (5, 1)
Slope of the line = 
m₂ = 
m₂ = 0.2
m₁ > m₂
Therefore, unit rate of change in y is greater in the given equation.
Option (a) will be the answer.
Step-by-step explanation:
F(x)=2x
but x= 4
F(x)= 2(4)
F(x)= 8
1/8 is same as 8
0.125
Answer: She have to drink 3 bottles of water.
Step-by-step explanation:
Given: Weight of Kathryn = 121.5 pounds
half of her weight = 
So, she need to drink 60.75 pounds of water.
Kathryn's water bottle holds 20.25 ounces.
Number of water bottles she need to drink = (half of her weight) ÷ (Capacity of bottle)
Hence, she have to drink 3 bottles of water.
Answer:
(2646 +110.25π) cm² ≈ 2992.4 cm²
Step-by-step explanation:
The area of a sphere is 4 times the area of a circle with the same radius. Hence the area of a hemisphere will be 2 times the area of that circle. This means carving a hemispherical depression in the face of the cube will add an area that is equal to the area of the circular hole.
Of course the total surface area of a cube is 6 times the area of one square face. The area of a circle is ...
A = πr² = π(d/2)² = (π/4)d²
The total surface area of the carved cube is ...
S = 6·(21 cm)² + (π/4)·(21 cm)² = (441 cm²)(6 +π/4)
S ≈ 2992.36 cm²
The total surface area of the remaining block is about 2992.4 cm².
Answer:
x = -2
Step-by-step explanation:
Original equation:
4x + 32 = 24
Subtract 32 from 24
-8
The equation should look like this now:
4x = -8
Divide both sides by 4
x = -2
Hope this helps :)
