3 years ago

Which of the following sets represents a function?

Mathematics

1 answer:

Mariulka [41]3 years ago

7 0

<span>{(1, 2), (3, 2), (5, 7)} is a function

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xz_007 [3.2K]

If you have zero dollars you can’t buy anything

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3 years ago

Write the standard form equation of the ellipse shown in the graph, and identify the foci.

vlada-n [284]

Answer option A

From the given graph is a Vertical ellipse

Center of ellipse = (-2,-3)

Vertices are (-2,3) and (-2,-9)

Co vertices are (-6,-3) and (2,-3)

The distance between center and vertices = 6, so a= 6

The distance between center and covertices = 4 , so b= 4

The general equation of vertical ellipse is

$\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2}=1$

(h,k) is the center

we know center is (-2,-3)

h= -2, k = -3 , a= 6 and b = 4

The standard equation becomes

$\frac{(x+2)^2}{4^2} + \frac{(y+3)^2}{6^2}=1$

$\frac{(x+2)^2}{16} + \frac{(y+3)^2}{36}=1$

Foci are (h,k+c) and (h,k-c)

$c=\sqrt{a^2-b^2}$

Plug in the a=6 and b=4

$c=\sqrt{6^2-4^2}$

$c=\sqrt{20}$

$c=2\sqrt{5}$ , we know h=-2 and k=-3

Foci are $(-2,-3+2\sqrt{5})$ and $(-2,-3-2\sqrt{5})$

Option A is correct

6 0

3 years ago

Jerry is paid $10.40 an hour for regular-time work. What is Jerry’s time and a half rate an hour? What is his double time pay ra

julia-pushkina [17]

Answer: Time and half---$15.60

Double time--$20.80

Step-by-step explanation:

TIME AND A HALF

$10.40/2= $5.20

$10.40 + $5.20=$15.60

DOUBLE TIME

$10.40 x 2 =$20.80

5 0

3 years ago

Find a unit vector that is perpendicular to the vector 5, −4

konstantin123 [22]

$( \frac{4}{ \sqrt{41} } , \frac{5}{ \sqrt{41} } )$

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3 years ago

Wtite down Three of the first six square numbers are two more than a prime number

olga2289 [7]

Answer:

4, 9 and 25.

Step-by-step explanation:

4 because 4 = 2 + 2 ( 2 being prime)

9 because 9 = 7 + 2 (7 being prime).

25 because 25 = 23 + 2 (23 being prime).

5 0

3 years ago