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3 years ago

When as rate, 100 miles in 5 hours would be ????? miles per hour

Mathematics

2 answers:

kherson [118]3 years ago

7 0

Answer:

20 miles per hour (20 mi/h)

Step-by-step explanation:

100 miles/5 hours = 20 miles/ 1 hour

(simplify the proportion)

Consider the following formula s=d/t, with

s being the speed, d as the distance, and t as the time.

this is because miles per hour is a measurement of speed.

In this case, 100 miles is the distance. 5 hours is the time, and we are solving for s.

s = 100/5, s = 20/1, s = 20 which is 20. So the rate or the speed is 20 miles per hour.

Anything multiplied or divided by 1 will remain the same.

koban [17]3 years ago

3 0

Answer:

Step-by-step explanation:

5 divided by 100 = 20

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-/2 points

Rom4ik [11]

Answer:

Part 1) The domain of the quadratic function is the interval (-∞,∞)

Part 2) The range is the interval (-∞,1]

Step-by-step explanation:

we have

$f(x)=-x^2+14x-48$

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)

step 1

Find the domain

The domain of a function is the set of all possible values of x

The domain of the quadratic function is the interval

(-∞,∞)

All real numbers

step 2

Find the range

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have a vertical parabola open downward

The vertex is a maximum

Let

(h,k) the vertex of the parabola

The range is the interval

(-∞,k]

Find the vertex

$f(x)=-x^2+14x-48$

Factor -1 the leading coefficient

$f(x)=-(x^2-14x)-48$

Complete the square

$f(x)=-(x^2-14x+49)-48+49$

$f(x)=-(x^2-14x+49)+1$

Rewrite as perfect squares

$f(x)=-(x-7)^2+1$

The vertex is the point (7,1)

therefore

The range is the interval

(-∞,1]

6 0

3 years ago

The rectangle below is dilated by a scale factor of 1/3. Find the perimeter and area of the rectangle below.

Dmitrij [34]

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2 years ago

Write the sum of the numbers as the product of their gcf and another sum Problem: 30+54

omeli [17]

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