Answer:
Step-by-step explanation:
All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called vertical line test.
- If the vertical line intersects the graph of a relation at one point , the relation is a function .
- If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.
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Let's check all of the options :
☐ Option A :
- The vertical line cuts the graph at two points. So , the graph does not represent a function.
☐ Option B
- No! This is also not a function as the vertical line cuts the graph at two points.
☐ Option C
- Nah! This too can't be called a function as the vertical line cuts the graph at two points.
☑ Option D
- Yep! The vertical line cuts the graph at one point. Thus , the graph represents a function.
Yayy!! We found our answer. It's ' Option D '.
Hope I helped ! ツ
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Answer: When f(x)=g(x) , x equal to -2 or -1
Step-by-step explanation:
Answer:
V≈418.88
Step-by-step explanation:
Volume formula: V=πr^2h
/3
R= radius
H= height
R= 5 ft
H= 16 ft
Formula= V=π5^2(16/3)
Answer:
A. 45h = 1,575
Step-by-step explanation:
Area of trapezoid = 1,575 cm² (given)
We are given the length of both bases, a = 63 cm and b = 27 cm
We need to find the formula that will enable us determine its height (h).
Thus:
Area of trapezoid = ½(a + b)h
Plug in the values
½(63 + 27)h = 1,575
½(90)h = 1,575
45h = 1,575
The answer is A. 45h = 1,575
Answer:
There is no points of intersection
Step-by-step explanation:
∵ The slope of line u = 4 - (-8)/5 - 9 = 12/-4 = -3
∴ Its equation is ⇒ y = -3x + c ⇒ use point (5 , 4) to get c
4 = -3(5) + c ⇒ c = 4 + 15 = 19
∴ The equation of u is ⇒y = -3x + 19
∵ The slope of line v = -7 - 2/7 - 4 = -9/3 = -3
∴ Its equation is ⇒ y = -3x + c ⇒ use point (4 , 2) to get c
2 = -3(4) + c ⇒ c = 2 + 12 = 14
∴ The equation of v is ⇒y = -3x + 14
∵ The slopes of them are equal and their y-intercepted are not equal
∴ Line u is parallel to line v
∴ There is no point of intersection