Answer:
Choice B.
Step-by-step explanation:
Given the reported values:
x f(x)
-3 -2
-2 0
-1 2
0 2
1 0
2 -8
3 -10
4 -20
We must locate the interval where f(x) is greater than zero.
The table shows f(x) is negative for x values less than -2 and greater than 1.
Between x = -2 and x = 1, f(x) takes positive values. Thus, the interval where f(x) is positive is (-2, 1).
Hence, the correct choice is B.
Response: (27- 4/3 pi) r^3
Step-by-step clarification: 1. The volume of a cube is defined as V= a^3, V= 3^3, and thus V=27
2. The volume of a sphere is represented by V=4/3 pi r^3......
Answer:
w/2 = 7.5/5
3kg
Here's the detailed explanation:
Remaining question below:
Which proportion could Maddy utilize to solve this issue?
a. w/2 = 7.5/5
b. w/7.5 = 5/2
Solve the proportion to determine the weight of a 2 liter jug.
_____kg
A 5-liter container of sports drink weighs 7.5kg
A 2-liter jug of this drink will weigh x kg
Finding w
Ratio of weight to volume
7.5kg: 5liters translates to 7.5/5
wkg: 2 liters means w/2
Establishing equivalent ratios
7.5 / 5 = w / 2
Cross-multiplying gives
7.5*2=5*w
15=5w
Dividing both sides by 5 results in
w=3
w=3kg
Thus, the weight of the 2-liter sports drink jug is 3kg
Answer:
Answer choice C. 
.
Step-by-step explanation:
The entire question is present in the attached figure.
It is established that
The function f(x) is represented by
,
indicating a parabola that opens upward.
The vertex is situated at the point (0,0).
The function g(x) shares the same parabolic shape.
The vertex of g(x) is located at (-3,1).
Therefore,
The transformation from f(x) to g(x) can be described as:
(0,0) transforms to (-3,1).
(x,y) transforms to (x-3,y+1).
This indicates a shift of 3 units to the left and 1 unit upward.
Thus,
The equation for g(x) in vertex form can be expressed as
.
