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2 years ago

For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x = 7. What is definitely true about x = 7?

Mathematics

2 answers:

igomit [66]2 years ago

8 0

Answer:

C)Both m(x) and p(x) have the same output value at x = 7.

Step-by-step explanation:

i took the test and got it right

Shkiper50 [21]2 years ago

4 0

For this case we have the following functions:

m (x)

p (x)

Where,

x: independent variable

m, p: dependent variables

For the value of x = 7 we have:

m (7)

p (7)

For this case it is true that:

m (7) = p (7)

Therefore, both functions have the same output argument for the same input value.

Answer:

C) Both m (x) and p (x) have the same output value at x = 7.

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The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In

Mila [183]

Answer:

Option b. just below 30%

Explanation:

Please, see attached the histogram that represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004.

The median is the value that separates the lower 50% from the upper 50% of the data.

Since there are 25 business schools, the middle value is the number 13.

The height of each bar is the frequency or number of business school for that acceptace rate:

The first bar has frequency of 1 school
The second bar has frequency of 3 schools: cummulative frequency: 1+3=4.
The third bar has frequency 5 schools: cummulative frequency 4 + 5 = 9.
The fourth bar has frequency 3 schools: cummulative frequency: 9+3=12.

Then, the 13th value is on the next bar, the fifth bar.

The fifth bar has acceptance rates 25 ≤ rate < 30.

That means that the median acceptance rate is greater than or equal to 25 and less than 30.

Thus, the choice is the option b. just below 30%.

3 0

1 year ago

A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r

eduard

Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

Radius= 1.5 m

Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= $2\pi rh$

Considering, π= 3.14

⇒ lateral surface area of cylinder= $2\times 3.14\times 1.5\times 2.5$

⇒ lateral surface area of cylinder= $23.55 \ m^{2}$

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

Total number of revolution= $\frac{16500}{23.55} = 700.6369 \approx 701$

Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.

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2 years ago

FrozenT [24]

Commutative property of addition is when 3+9=12 and 9+3=12.

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1 year ago

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A geometry teacher asked Radric to define "parallel lines." Radric said that parallel lines are lines in a plane that do not hav

UkoKoshka [18]

Answer: The answer is Yes.

Step-by-step explanation: Given in the question that Radric was asked to define "parallel lines" and he said that parallel lines are lines in a plane that do not have any points in common. We are to decide whether Radric's definition is valid or not.

Parallel lines are defined as lines in a plane which never meets or any two lines in a plane which do not intersect each other at any point are called parallel.

Thus, Radric's definition is valid.

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2 years ago

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There are two approaches to solving the equation -3x + 10 = 4x - 20 Subtract 4x from both sides. OR Add 3x to both sides. –7x +

Scrat [10]

Answer:

There are two approaches to solving the equation -3x + 10 = 4x - 20. The value of x after solving in both methods is 4.2857.

Solution:

Given, equation is -3x + 10 = 4x – 20.

We have to solve the given equation in two methods, now let us see the first method.

1st method ⇒ by subtracting 4x from both sides.

Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 – 4x = 4x – 20 – 4x ⇒ -3x – 4x = -20 – 10 ⇒ -7x = -30 ⇒ 7x = 30

Then, x = $\frac{30}{7}$

Now, let us use the 2nd method.

2nd method ⇒ by adding 3x on both sides.

Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 + 3x = 4x – 20 + 3x

⇒ 10 + 20 = 4x + 3x

⇒ 7x = 30

⇒ x = $\frac{30}{7}$

Hence, the value of x after solving in both methods is $\frac{30}{7}$ = 4.2857.

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2 years ago

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