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3 years ago

Which of the following statements are true about the graph below? Select all that apply.

Mathematics

1 answer:

Ann [662]3 years ago

6 0

Answer:

The domain of the function is the set of all real numbers; the range of the function is the set of all nonnegative real numbers; the graph has an intercept at (0, 0); and the graph is symmetric with respect to the y-axis.

Step-by-step explanation:

This is not a square root function, this is a quadratic function, which has an x².

The domain, or set of x-values, is all real numbers. This is because all numbers work for x.

The range, or set of y-values, is the set of all nonnegative real numbers. This is because all numbers we get for y are positive real numbers.

The graph intersect both the x- and y-axis (x-intercept and y-intercept) at (0, 0).

The graph is decreasing on the interval x<0 and increasing on the interval x>0, not the other way around.

The graph has a minimum at (0, 0), not a maximum.

The graph can be folded in half along the y-axis, so it is symmetric with respect to the y-axis.

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Suppose AP = 2 cm and BQ = 7 cm. What is the length of PC?

viktelen [127]

Step-by-step explanation:

is this a quadrilateral? or polygon or triangle?

what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive

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3 years ago

A blue die and a red die are thrown. B is the event that the blue comes up with a 6. E is the event that both dice come up even.

iVinArrow [24]

Answer:

Size of |E n B| = 2

Size of |B| = 1

Step-by-step explanation:

I'll assume both die are 6 sides

Given

Blue die and Red Die

Required

Sizes of sets

- $|E\ n\ B|$

- $|B|$

The question stated the following;

B = Event that blue die comes up with 6

E = Event that both dice come even

So first; we'll list out the sample space of both events

$B = \{6\}$

$E = \{2,4,6\}$

Calculating the size of |E n B|

$|E n B| = \{2,4,6\}\ n\ \{6\}$

$|E n B| = \{2,4,6\}$

The size = 3 because it contains 3 possible outcomes

Calculating the size of |B|

$B = \{6\}$

The size = 1 because it contains 1 possible outcome

8 0

3 years ago

Cosx+1/sin^3x=cscx/1-cosx

ANTONII [103]

I am assuming you want to prove:
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x).


If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get:
LHS = csc(x)/[1 - cos(x)]
= {csc(x)[1 + cos(x)]/{[1 + cos(x)][1 - cos(x)]}
= {csc(x)[1 + cos(x)]}/[1 - cos^2(x)], via difference of squares
= {csc(x)[1 + cos(x)]}/sin^2(x), since sin^2(x) = 1 - cos^2(x).


Then, since csc(x) = 1/sin(x):
LHS = {csc(x)[1 + cos(x)]}/sin^2(x)
= {[1 + cos(x)]/sin(x)}/sin^2(x)
= [1 + cos(x)]/sin^3(x)
= RHS.


I hope this helps!

8 0

4 years ago

The complement of set M is ______.

Firlakuza [10]

Answer:

M' is {-5, -4, -3, -2, -1, 0, 1, 3, 5, 6}

Step-by-step explanation:

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3 years ago

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Pavlova-9 [17]

Answer:

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Step-by-step explanation:

X is 30

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3 years ago

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