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Nuetrik [128]
2 years ago
5

Which graph represents a function?

Mathematics
2 answers:
Temka [501]2 years ago
6 0

Answer:

The last one

Step-by-step explanation:

x can only have one value whereas y can be constants like in last graph

ella [17]2 years ago
6 0
The last one. It is the only graph that passes the vertical line test.
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Two trapezoids below are similar what is the length of RS?
stepladder [879]

9514 1404 393

Answer:

  11.5 m

Step-by-step explanation:

The fact that the figures are similar means the side lengths are proportional:

  RS/QT = BC/AD

  RS/(7 m) = (2.3 m)/(1.4 m)

  RS = (7 m)(2.3/1.4) . . . . . . multiply by 7 m

  RS = 11.5 m

 

6 0
2 years ago
The distance between two parks on a city map is 1.8 inches. The actual distance between the parks is 2 miles. In the same city,
Nata [24]
0.72 or the first option. Hope this helps.
8 0
3 years ago
What is the domain and range of the function y = 2x2 - 4x - 10?
11111nata11111 [884]

Answer:

Step-by-step explanation:

The domain of all polynomials is all real numbers.  To find the range, let's solve that quadratic for its vertex.  We will do this by completing the square.  To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out.  That gives us:

2(x^2-2x)=10

The second rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 2 (from the -2x).  Half of 2 is 1, and 1 squared is 1.  So we add 1 into the parenthesis on the left.  BUT we cannot ignore the 2 sitting out front of the parenthesis.  It is a multiplier.  That means that we didn't just add in a 1, we added in a 2 * 1 = 2.  So we add 2 to the right as well, giving us now:

2(x^2-2x+1)=10+2

The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form.  Completing the square gives us a perfect square binomial on the left.

x^2-2x+1=(x-1)^2 and on the right we will just add 10 and 2:

2(x-1)^2=12

Now we move the 12 back over by subtracting and set the quadratic back to equal y:

2(x-1)^2-12=y

From this vertex form we can see that the vertex of the parabola sits at (1,-12).  This tells us that the absolute lowest point of the parabola (since it is positive it opens upwards) is -12.  Therefore, the range is R={y|y ≥ -12}

4 0
3 years ago
The equation y = 1725 - 75x represents the amount of money y (in dollars) left in your lunch account after x weeks. 20 weeks go
garik1379 [7]
Y= -75x +1725
y= -75(20) +1725
y = -1500 + 1725
y= 225 = range
225= -75x +1725
225 - 1725= -75x
-1500=-75x
-1500/-75 = -75x/-75
x = 20 = domain
6 0
3 years ago
1. Draw a diagram to show how many 3/4 foot pieces of string can be cut from a piece of 4 1/2 feet long string.(How many times d
Blizzard [7]
1. 6
2. 6/60=1/10
3. 12
4. 24/2=12
5. 6/4=3/2= 1 1/2
6. 1
7. 7.5= 7 whole servings
7 0
2 years ago
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