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GuDViN [60]
3 years ago
13

Which graph represents a vertical translation by 4 units down of the function f(x)=2x?

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0
F(x)=2x-4

4 units DOWN would mean that the k-value is -4, which is put at the very end of the equation. hope this helped!
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Duncan rode 2 kilometers on his bike.Harold rode twice as far as Duncan and Sara combined. How many kilometers did the three fri
xz_007 [3.2K]

Answer:

Total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

Step-by-step explanation:

Let D denotes the distance that Duncan covered on his bike.

Let H denotes the distance that Harold covered on his bike.

Let S denotes the distance that Sara covered on her bike.

Duncan rode 2 kilometers on his bike.

Mathematically,

D = 2 km

Harold rode twice as far as Duncan and Sara combined.

Mathematically,

H = 2(D + S)

H = 2(2 + S)

H = 4 + 2S

The distance covered by three friends all together is  

D + H + S

We don’t have enough information at this point to find out the total distance covered by all of them, so we need to assume the distance covered by Sara.

Assuming that Sara covered 0 km then

H = 4 + 2(0)

H = 4

Then total distance is

D + H + S

2 + 4 + 0

6 km

But 6 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 2 km then

H = 4 + 2(2)

H = 8

Then total distance is

D + H + S

2 + 8 + 2

12 km

But 12 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 3 km then

H = 4 + 2(3)

H = 10

Then total distance is

D + H + S

2 + 10 + 3

15 km

Assuming that Sara covered 8 km then

H = 4 + 2(8)

H = 20

Then total distance is

D + H + S

2 + 20 + 8

30 km

Therefore, the total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

6 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST
Marta_Voda [28]

<u><em>Answer:</em></u>

The bird will have traveled 403 meters in 13 seconds if it maintained a speed of 31 m/sec

<u><em>Explanation:</em></u>

<u>The equation that relates velocity, distance and time is:</u>

velocity = \frac{distance}{time}

<u>This means that:</u>

distance = velocity * time

<u>In the given, we have:</u>

velocity = 31 m/sec

time = 13 sec

<u>Substitute with the givens in the above equation and solve for the distance as follows:</u>

distance = velocity * time

distance = 31 * 13

distance = 403 meters

Hope this helps :)

8 0
3 years ago
Select Statistical or Not statistical to classify each question.
inysia [295]

Answer:

1. Over 6,486 completed high-rise buildings, in New York City, are at least 35 meters, of which at least 113 are taller than 600 feet (183 m).

2. The empire State Building is 1,250′, 1,454′ to tip

3. Over 3.5 million people visit

3 0
3 years ago
Read 2 more answers
Is 64 inches is greater less than are equal to 5 feet
dedylja [7]
Greater than because 5 feet equal 60 inches
4 0
3 years ago
Hurry plz What is the area of the given circle?
nevsk [136]

Answer:

<em>600π feet</em>

Step-by-step explanation:

<em>If the radius is 18 inches, the diameter is 3 feet. The circumference of the tire is therefore 3π by C=d(π). After 200 revolutions, the tire and car have gone 3π x 200 = 600π feet.</em>

3 0
3 years ago
Read 2 more answers
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