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zzz [600]
3 years ago
15

For this graph, mark the statements that are true.

Mathematics
2 answers:
IRISSAK [1]3 years ago
4 0
Hello,

I was asking if i may reply as genius are posting so much questions?
(Is-it in order to make the schmilblick(if you know what it is) go on?)

y=f(x)=(x-1)²

A is True Dom f(x)=R

B is false there are no negative values of y

C is false since A is true.

D is true IMG(f(x))=R+.


Vitek1552 [10]3 years ago
4 0

Answer:

Options A and D

Step-by-step explanation:

The given graph for a parabola can be represented by the equation

y = (x - h)² + k

where (h, k) is the vertex of the parabola.

Since vertex of the parabola is (1, 0) so the equation will be

y = (x - 2)² + 0

y = x² -4x + 4

Since domain of the parabola is defined by its x-values

Therefore, domain will be set of all real numbers

Now we know range of a function on graph is defined by the y-values.

Therefore, Range of the given function will be set of all real numbers greater than of equal to zero.

Options A and D are the correct options.

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A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from
sp2606 [1]

Answer:

Let´s define the variables:

x = number of people in theater A

y = number of people in theater B

We know that a 20% (or 0.2 in decimal form) of the people in theater A answered the survey, then the number of people from theater A that answered the survey is: Na = 0.2*x

We know that a 30% (or 0.3 in decimal form) of the people in theater B answered the survey, then the number of people from theater B that answered the survey is: Nb = 0.3*y

There where 800 people in total (counting from the two theatres)

Then x + y = 800.

A) In this case we have:

Na = Nb

this means that:

0.2*x = 0.3*y

and we also have the equation:

x  + y = 800

To solve this, we need to isolate one variable in one of the equations, i will isolate x in the second equation:

x = 800 - y

And now we can replace this in the other equation to get:

0.2*(800 - y) = 0.3*y

We need to solve this for y:

160 - 0.2*y = 0.3*y

160 = 0.3*y + 0.2*y = 0.5*y

160/0.5 = y = 320

Then there where 320 people in theater B, and:

x + y = 800

x + 320 = 800

x = 800 - 320 = 480

There where 480 people in theather A.

B) Now we have:

x = 440

y = 360

then:

Na = 0.2*440 = 88

In theater A, 88 people answered the survey.

Nb = 0.3*360 = 108

In theater B, 108 people answered the survey.

In total, 88 + 108 = 196 people answered the survey.

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