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3 years ago

Choose the definition for the function

Mathematics

1 answer:

Vesnalui [34]3 years ago

6 0

Answer:

Good Luck!

Please, upvote, five stars!

Step-by-step explanation:

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Which statement best explains the relationship between lines FG and HJ?

murzikaleks [220]

Answer:

(D)

Step-by-step explanation:

From the figure, we have

The coordinates of the point F are: (-4,1).

The coordinates of the point G are: (0,-2)

The coordinates of the point J are: (0,4) and

The coordinates of the point H are: (-4,-2).

Now, the slope of the line FG is :

$S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$S=\frac{-2-1}{0+4}$

$S=\frac{-3}{4}$

And, the slope of the line HJ is:

$S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$S=\frac{-2-4}{-4-0}$

$S=\frac{3}{2}$

Now, $the slope of FG=\frac{1}{slope of HJ}$

$\frac{-3}{4}=\frac{2}{3}$

which is not possible, thus They are not perpendicular because their slopes are not negative reciprocals.

6 0

3 years ago

Read 2 more answers

the base of a triangle prism has an area of 35m. this triangular prism has a height of 7m. what us the volume of this triangular

Trava [24]

Answer:

ion even know

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3 years ago

Yolanda owns 4 rabbits. She expects the number of rabbits to double every year.

jok3333 [9.3K]

R=Number of rabbits

y=Years that have passed by { y ≥ 0 }

R=f(y) --> R is a function of y.
---------------------------------------------

Note that when:

y=0, R=4 ---> Point: (0, 4)

y=1, R=8 ---> Point (1, 8)

y=2, R=16 ---> Point (2, 16)

y=3, R=32 ---> Point (3, 32)

y=4, R=64 ---> Point (4, 64)

--------------------------------------------

So the equation you want is going to form a curved graph.

That equation is:

$R={ 2 }^{ y+2 }$

*You can test out this function on any decent graphing software.

7 0

3 years ago

Read 2 more answers

Suppose a family drives at an average rate of 60 mi/h on their way to visit relatives and then an average rate of 40 mi/h on the

hammer [34]

Answer:

Part A) 2 hours

Part B) d/60 hours

Part C) 48 miles/hour

Step-by-step explanation:

Part A) Let "d" be the distance in miles the family traveled to visit their relatives. How many hours did it take to drive there?

we know that

Let

x ----> the time it take on their way to visit relatives in hours

y ---> the time it take on the way back in hours

we know that

The distance of the way to visit is equal to the distance of the way back

The speed multiplied by the time is equal to the distance

60x=40y -----> equation A

y=x+1 -----> equation B

substitute equation B in equation A and solve for x

60x=40(x+1)

60x=40x+40

20x=40

x=2 hours

Find the value of y

y=2+1=3 hours

d=60x

The time it take on their way to visit relatives is 2 hours

The time it take on the way back is 3 hours

Part B) In terms of "d," how many hours did it take to drive there?

we have that

The distance is equal to the speed multiplied by the time

d=60x

Solve for x

x=d/60 hours

Part C) Write and solve an equation to determine the distance the family drove to see their relatives. What was the average rate for the entire trip?

To find the average rate for the whole trip we will need the total distance and the total time

The distance of the way to visit is

d=60x

substitute the value of x

d=60(2)=120 miles

The total distance is

120(2)=240 miles

we know that the total time is

2 + 3 =5 hours

The average rate for the complete trip is

240/5=48 miles/hour

5 0

3 years ago

Read 2 more answers

Mahad and Eren made 17 ounces of pizza dough. They used 5/8 of the dough to make a pizza and used the rest to make calzones.

matrenka [14]

9514 1404 393

Answer:

B) 4 2/8 ounces

Step-by-step explanation:

After 5/8 of the dough was used for pizza, the remaining amount is ...

1 -5/8 = 3/8

The difference between the amounts is then ...

(5/8×17 oz) - (3/8×17 oz) = (5/8 -3/8)×17 oz = 2/8×17 oz = 34/8 oz

= 4 2/8 oz

6 0

3 years ago