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3 years ago

The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

7 0

Answer: The speed of the motorboat is 70 miles per hour

Step-by-step explanation: Subtract the initial distance, 35, from the distance at any given time, then divide the remainder by the hours.

For example, at 2 hours, the distance shown on the graph is 175 miles

Subtract: 175 -35 = 140. Then divide 140/2 = 70

At 4 hours, the distance shown is 315 miles.

Subtract: 315 - 35 = 280. Then divide 280/4 = 70

70 mph is the speed.

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Follow the directions to solve the system of equations by elimination. 8x + 7y=39 4x – 14y = -68

harina [27]

Step-by-step explanation:

Hey there!

Here;

The equations are;

$8x + 7y = 39.......(i)$

$4x - 14y = - 68..........(ii)$

Multiplying equation (i) by 2.

16x + 14y = 78

4x - 14y = -68

20x = 10

$x = \frac{10}{20}$

x = 1/2.

Putting value of 'x' in equation (i).

$8 \times \frac{1}{2} + 7y = 39$

$4 + 7y = 39$

$7y = 3 9 - 4$

$y = \frac{35}{7}$

Therefore the value of y is 5.

Check:

Put value of x and y in equation (i).

8x + 7y = 39

$8 \times \frac{1}{2} + 7 \times 5 = 39$

$4 + 35 = 39$

$39 = 39$

(True).

Therefore, the solution is ; (1/2,5).

Hope it helps...

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4 years ago

Which equation could be used to find the perimeter of an isosceles triangle, with two sides 13 cm long, a base 10 cm long, and a

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3 years ago

Identify the domain and range of the inverse of f(x) = 0.5^x.

LekaFEV [45]

Answer:

Domain (0, ∞) and Range (-∞, ∞).

Step-by-step explanation:

The domain of f(x) = 0.5^x is all values of x and the range is f(x)>0 as 0.5^x cannot be negative or zero.

In interval form this is Domain is (-∞, ∞) and Range is (0, ∞).

So its inverse has Domain (0, ∞) and Range (-∞, ∞).

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