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ICE Princess25 [194]
3 years ago
14

Which of the following is the best use for the sign chart when graphing rational functions?

Mathematics
1 answer:
nadezda [96]3 years ago
3 0

Answer:

A) to determine the slope for the graph of F(x)

Step-by-step explanation:

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A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minu
Korvikt [17]

Answer:

d = 0.666t , where d is in miles and t is in minutes.

d = 39.94h, where d is in miles and h is in hours.

Step-by-step explanation:

A car travels 2\frac{1}{3} = 2.33 miles in 3\frac{1}{2} = 3.5 minutes at a constant speed.

Let the relation between the distance (d) traveled by car in miles after traveling t minutes is d = kt ......... (1)

Now, putting d = 2.33 miles and t = 3.5 minutes in the above equation we get,

2.33 = 3.5k

⇒ k = 0.666 (Approx.)

So, the equation (1) becomes d = 0.666t. (Answer)

Let us assume that the relation between the distance (D) traveled by car in miles after traveling h hours is d = Kh ............ (2)

Now, putting D = 2.33 miles and T = 3.5/60 = 0.058 hours in the above equation, we get

2.33 = 0.058K

⇒ K = 39.94

So, the equation (2) we get, d = 39.94h (Answer)

3 0
3 years ago
Will is twice as old as Jill. Three years ago, Jill's age was two fifths of Will's age then. How old is each now?
dimulka [17.4K]
"Will is twice as old as Jill."

                       Jill's age . . . . .   J
                       Will's age . . . . 2J .

"Three years ago . . .

                       Jill's age then . . . . .   J - 3
                       Will's age then . . . . 2J - 3

". . . Jill's age then was 2/5 of Will's age then."

                                         J - 3  =  (2/5) (2J - 3)
Multiply
each side by  5 :          5J - 15  =  2 (2J - 3)

Divide
each side by  2 :          2.5 J - 7.5  =  2J - 3 

Subtract  2J
from each side:            0.5 J - 7.5  =      -3

Add  7.5
to each side:                0.5 J           =     4.5

Multiply
each side by  2 :                J            =       9

Jill is  9  y.o. now.
Will is 18 y.o. now.

4 0
3 years ago
the radio of girls to boys in the junior high band is 5 to 7. At the beginning of the year, there were 72 students in the band.
ANTONII [103]
I don't really understand this question do u have a pic
6 0
3 years ago
HELP!! I NEED THIS QUICKLY
Elza [17]

Answer:

A and D

Step-by-step explanation:

We are given that

(3/4,2/3),(1/4,1),(1,1/2) and (1/2,1)

x_1=\frac{3}{4}

y_1=\frac{2}{3}

x_2=\frac{1}{4},y_2=1

x_3=1,y_3=\frac{1}{2}

x_4=\frac{1}{2},y_4=1

k=\frac{1}{2}

Direct proportion:

\frac{x}{y}=k

Inverse proportion:xy=k

\frac{x_1}{y_1}=\frac{3}{4}\times \frac{3}{2}=\frac{9}{8}\neq \frac{1}{2}

Therefore, it is not in direct proportion.

\frac{1}{4\times 2}=\frac{1}{8}\neq\frac{1}{2}

\frac{1}{\frac{1}{2}}=2\neq \frac{1}{2}

x_1y_1=\frac{3}{4}\times \frac{2}{3}=\frac{1}{2}

x_2y_2=\frac{1}{4}\times 2=\frac{1}{2}

x_3y_3=1\times \frac{1}{2}=\frac{1}{2}

x_4y_4=\frac{1}{2}\times 1=\frac{1}{2}

Therefore, xy=k=\frac{1}{2}

Hence, the given points form an inverse variation .

xy=\frac{1}{2}

y=\frac{1}{2x}

Option A and D is true.

6 0
3 years ago
If a point is originally located at (2,9) and is translated 4 units to the right and 7 units up, what would its new
aliina [53]

Given:

The point is (2,9).

It is translated 4 units to the right and 7 units up.

To find:

The coordinates of new point.

Solution:

The point is translated 4 units to the right and 7 units up. So, the rule of translation is

(x,y)\to (x+4,y+7)

The point is (2,9). Using the above rule, we get

(2,9)\to (2+4,9+7)

(2,9)\to (6,16)

Therefore, the coordinates of new points are (6,16).

5 0
3 years ago
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