Which of the following expressions represents a function?{(1, 2), (4, –2), (8, 3), (9, –3)}

y2 = 16 − x2

2x2 + y2 = 5

x = 7

Answers

Answer 1
Answer: {(1, 2), (4, –2), (8, 3), (9, –3)} and x = 7 represents a function.

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According to the Tristate Transportation Authority, making certain improvements to the main commuter rail line would increase ridership dramatically. The authority plans to finance these improvements over the course of five years by raising automobile tolls on the two high-way bridges along the route the rail line serves. Although the proposed improvements are indeed needed, the authority’s plan for securing the necessary funds should be rejected because it would unfairly force drivers to absorb the entire cost of something from which they receive no benefit.Which of the following, if true, would cast the most doubt on the effectiveness of the authority’s plan to finance the proposed improvements by increasing bridge tolls?(A) Before the authority increases tolls on any of the area bridges, it is required by law to hold public hearings at which objections to the proposed increase can be raised.(B) Whenever bridge tolls are increased, the authority must pay a private contractor to adjust the automated toll-collecting machines.(C) Between the time a proposed toll increase is announced and the time the increase is actually put into effect, many commuters buy more tokens than usual to postpone the effects of the increase.(D) When tolls were last increased on the two bridges in question, almost 20 percent of the regular commuter traffic switched to a slightly longer alternative route that has since been improved.(E) The chairman of the authority is a member of the Tristate Automobile Club that has registered strong opposition to the proposed toll increase.

W + 1200+209 = 2000This might seem easy but I seriously don’t know how to get to the answer

Answers

Answer:

591

Step-by-step explanation:

added the 2 in the equation and minused 2000 from that

3x²+5x-2=0 by any method

Answers

3x²+5x=2

x(3x+5)=2

x=2  or 3x+5=2
           
            x=3/5  

Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.The domain of the function is .
The range of the function is all real numbers.
The vertex of the function is .
The function has two x-intercepts.
The function is increasing over the interval (, ∞).

Answers

Hello,

1: dom f=R
2: img f =R
3: 2x²-x-6=2(x²-2x/4+1/46)-6-1/8=2(x-1/4)²-49/8
Vertex=(1/4,-49,8)

4: roots are -3/2 and 2
2(x-1/4)²-49/8=1/8[(4x-1)²-49]=1/8*(4x+6)(4x-8)

5:
From the vertex to ∞
[-1/4 , ∞)

Answer: -1/4, infinity

Step-by-step explanation:

If the diameter of a circle is 9 cm, then its circumference is 56.52 cm.

Answers

No.  That is not true.
Dπ=circumference (approximate)
9*π(or roughly 3.14)=28.26
If the RADIUS was 9,  then that would be true :D

Answer:

The answer is false

Step-by-step explanation:

A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot? A) 16 feet
B) 17 feet
C) 18 feet
D) 19 feet

Answers

Answer:

Answer is option b

17 feet.

Step-by-step explanation:

Given that A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow.

for man actual height = 6 foot

Shadow = 9 foot

At a particular time, the height/shadow ratio would be constant

Hence 6/9 =x/25

Or x = 25(6)/9

x=16.67feet

Rounding off x=17 feet

ratio of object to shadow = 6/9 = x/25 (where x is the height of the tree)
x = (6 * 25)/9 = 16.67feet

x = approx. 17 feet

The points (-2,-4) and (8,5) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.

Answers