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4vir4ik [10]
3 years ago
6

two airplanes leave an airport at the same time and travel in opposite directions. one plane travels 70km/h slower than the othe

r. if the two planes are 5472 km apart after 3 hours what is the rate of each plane
Mathematics
1 answer:
Nitella [24]3 years ago
8 0

Answer:

<em>The speeds are 877 km/h and 947 km/h.</em>

Step-by-step explanation:

The slower plane travels at x km/h. The faster plane travels at (x + 70) km/h. The speed of separation is the sum of the speeds, (2x + 70) km/h.

They are 5472 km after 3 hours of travel.

speed = distance/time

2x + 70 = 5472/3

2x + 70 = 1824

2x = 1754

x = 877

The slower plane travels at 877 km/h.

x + 70 = 877 + 70 = 947

The faster plane travels at 947 km/h.

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What is the range of f(x) = |-x|? y ≤ 0 y ≥ 0 y = 0 all reals
Molodets [167]

Answer:

y≥0

Step-by-step explanation:

no matter what is written inside it,

|x|≥0

so here

f(x)≥|-x|

so

f(x)≥0

then

y≥0

8 0
3 years ago
Tell whether the function shown by the table below is linear or nonlinear.
Ugo [173]
I pretty sure it’s a linear function
6 0
3 years ago
For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?
sergey [27]

Answer:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}

Step-by-step explanation:

Given

f(x) = \frac{7}{2}x - 16

Required

The difference quotient for h

The difference quotient is calculated as:

\frac{f(x + h) - f(x)}{ h}

Calculate f(x + h)

f(x) = \frac{7}{2}x - 16

f(x+h) = \frac{7}{2}(x+h) - 16

f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16

The numerator of \frac{f(x + h) - f(x)}{ h} is:

f(x + h) - f(x) =  \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)

f(x + h) - f(x) =  \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16

Collect like terms

f(x + h) - f(x) =  \frac{7}{2}x  -\frac{7}{2}x + \frac{7}{2}h- 16 + 16

f(x + h) - f(x) = \frac{7}{2}h

So, we have:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h

Rewrite as:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}

5 0
3 years ago
The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term, but a fina
Vlada [557]

Answer:

The test statistic for this test is 3.82.

Step-by-step explanation:

The null hypothesis is:

H_{0} = 8500

The alternate hypotesis is:

H_{1} > 8500

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

X = 8745, \mu = 8500, \sigma = 1200, n = 350

So

t = \frac{8745 - 8500}{\frac{1200}{\sqrt{350}}} = 3.82

The test statistic for this test is 3.82.

5 0
4 years ago
A grocery store only sells eggs by the dozen.There are 12 eggs in one dozen eggs.If there are 624 eggs in stock how many dozens
Ratling [72]
Work:

624 divided by 12 equals 52

answer:

52 dozens
3 0
3 years ago
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