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3 years ago

11

3. Which is a function?

1 answer:

OverLord2011 [107]3 years ago

4 0

Answer:

C) {(12,3), (11,2), (10,1), (9,0), (8,1), (7,2), (6,3)} Is a function.

Step-by-step explanation:

The easiest way to tell if a Relation is a Function (in my opinion) is the Verticle Line test. Use your pairs and put them in a graph. Then connect the dots, and if your line at any point touches the graph once, then your Relation is a Function. If it touches the graph more than once, it is not a Function.

Regards!

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Which statement is true?

Allushta [10]

Im pretty sure it is the first one

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3 years ago

Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the grou

Morgarella [4.7K]

Answer:

8.9 meters

Step-by-step explanation:

this seems like a problem where you can use the pythagorean theorem:

you know one of the two legs (6m) and the hypotenuse (9m), you must find the other leg

a^2 + 6^2 = 9^2

a^2 + 36 = 81

a^2 = 45

a = $\sqrt{45}$ or $\sqrt{9}$ · $\sqrt{5}$ which simplifies to be 3 $\sqrt{5}$ or approx. 8.9 meters

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3 years ago

Which of the following is not a factor of x^3 – 3x^2 – 4x + 12?

Slav-nsk [51]

Answer:

c. (x + 3)

Step-by-step explanation:

using factor theorem

if x - 3 is a factor then p(a) = 0

p(a)= x^3 - 3x^2 - 4x + 12

a.(x-3)

p(3) = (3)^3 - 3(3)^2 - 4(3) + 12

= 27 - 27 - 12 + 12

= 0

therefore x-3 is a factor

b.(x + 2)

p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12

= -8 -12 + 8 + 12

,= 0

therefore x + 2 is a factor

c.(x + 3)

p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12

= -27 -27 + 12 + 12

= -30

therefore x + 3 is not a factor

d.(x-2)

p(2) = (2)^3 - 3(2)^2 - 4(2) + 12

= 8 -12 - 8 + 12

= 0

therefore x - 2 is a factor

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3 years ago

You went shopping for classroom supplies. You bought 255 blue pens, 100 red pens, and 189 green pens. How many pens did you buy

jeyben [28]

I bought 544 pens in all

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3 years ago

Wanda started walking along a path 27 seconds before Dave. Wanda walked at a constant rate of 3 feet per second. Dave walked alo

Advocard [28]

Answer:

Wanda and Dave will catch each other in 54 seconds after Dave starts walking.

Step-by-step explanation:

Let Wanda and Dave catch each other when x be the time after Dave starts walking and y be the distance covered by them

It is given that Wanda started walking along a path 27 seconds before Dave and the constant speed of Wanda is 3 feet per second.

$speed=\frac{distance}{time}$

$3=\frac{y}{x+27}$

$y=3(x+27)$

$y=3x+81$ .... (1)

The constant speed of Dave is 4.5 feet per second.

$4.5=\frac{y}{x}$

$y=4.5x$ .... (2)

Equate equation (1) and (2).

$3x+81=4.5x$

$81=1.5x$

Divide both sides by 1.5.

$\frac{81}{1.5}=x$

$54=x$

Therefore, Wanda and Dave will catch each other in 54 seconds after Dave starts walking.

6 0

3 years ago