30 points! please help

Mathematics

1 answer:

Trava [24]3 years ago

5 0

Gopherus have been clocked at rates 0.13 to 0.30 mph (0.05 to 0.13 m/s

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Find the domain and range of the exponential function h(x) = 125x.

Yanka [14]

H would decrease either way because h is a variable for a certain number. that number would usually be divided from both sides. you would be eliminating x from the equation. 125x/h. by dividing you are creating a smaller number. by dividing you are decreasing. you're welcome. :)

8 0

3 years ago

What's an equation that the passes through (-6,4) and is parallel to y=1/2x+8

deff fn [24]

By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.

Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:

$y - y_1 = \frac{1}{2}(x - x_1)$ , where $(x_1, y_1)$ represents the points being passed through.

$y - 4 = \frac{1}{2}(x + 6)$
$2y - 8 = x + 6$
$2y = x + 14$
$y = \frac{1}{2}x + 7$

3 0

3 years ago

Two trains leave Cleveland at the same time. One train travels east and the other travels west. The speed of the westbound train

OlgaM077 [116]

Answer:

The eastbound train travels at 92 mph and the westbound train travels at 96 mph.

Step-by-step explanation:

We know that Velocity = distance / time

If the eastbound train travels at x miles per hour, the westbound train travels at x + 4 mph.

After 3.5 hours, they are 658 miles apart. If we solve for distance the formula given above we have: Distance = velocity x time. We have that the total distance between both trains is 658 miles.

Substituting the values of the problem and solving for x we have

$658 = 3.5x+3.5(x+4)\\658=3.5x+3.5x+14\\644=7x\\92=x$