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3 years ago

5. List the transformations for the function 1/3f(x) - 2

Mathematics

1 answer:

tia_tia [17]3 years ago

8 0

Answer:

all of them

Step-by-step explanation:

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Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu

cluponka [151]

Answer:

Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is $x$ mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: $(x-18) mph$

We know that, $Time = \frac{Distance}{Speed}$

So, the time of driving in clear weather $=\frac{50}{x}$ hours

and the time of driving in thunderstorm $=\frac{16}{x-18}$ hours.

Given that, the total time for the trip is 1.5 hours. So, the equation will be......

$\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0$

Using zero-product property.........

$x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12$

We need to ignore $x=12$ here, otherwise the speed in thunderstorm will become negative.

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

3 0

3 years ago

A boat is carrying containers that weigh 4000 pounds each.

deff fn [24]

Answer:

4 = 16,000

8 = 32,000

10 = 40,000

Step-by-step explanation:

4 x 4 = 16 then add the zeros and then you have 16,000. Same thing with 8. 4 x 8 = 32 then add the zeros. Also goes for 10. 4 x 10 = 40 then add the zeros.

3 0

2 years ago

How would I graph y = 2/3x + 1 ?

cestrela7 [59]

Answer:

Shown below

Step-by-step explanation:

you would start with positive one on the y axis then go up two and to the right 3 and continue it

Des.mos.com is also a graphing calculator that helps with this!

7 0

3 years ago

two submarines, one red and one blue, started rising toward the surface at the same time.they each rose at a constant speed. the

Mnenie [13.5K]

I NEED A BIT MORE DETAIL LOL

6 0

3 years ago

What isn't the bets approximation for the area of this circle labeled 8 inches use3.14 to approximate pi

Arte-miy333 [17]

Answer:

50.272 in^2

Step-by-step explanation:

Step one:

Given data

Circles are described using the diameter parameter

Diameter of the circle is 8 inches

radius = 4 inche= d/2

Step two:

The area of the circle is

A= πr^2

A= 3.142*4^2

A=3.142*16

A=50.272 in^2

8 0

3 years ago