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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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Identifying Rays and Segments

hichkok12 [17]

The answer is a, b, and e.

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1 year ago

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dr.drazzle collected 70 liters of ocean water to test for antibacterial properties. he split the water into 100 samples . how mu

Annette [7]

Answer:

Each sample contains 0.70 liters of water.

Step-by-step explanation:

Dr Drazzle collected 70 liters of water of ocean water to test and he split the water into 100 samples.

So by unitary method we can calculate the amount of water in each sample.

∵ 100 samples contain the amount of water = 70 liters

∴ 1 sample contains the amount of water = 70/100 = 0.70 liters

So the answer is 0.70 liters in each sample.

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2 years ago

A florist gathered data about the weekly number of flower deliveries he made to homes and to businesses for several weeks. He us

shutvik [7]

Answer:

The number of deliveries that are predicted to be made to homes during a week with 50 deliveries to business is 87 deliveries

Step-by-step explanation:

The data categorization are;

The number of home deliveries = x

The number of delivery to businesses = y

The line of best fit is y = 0.555·x + 1.629

The number of deliveries that would be made to homes when 50 deliveries are made to businesses is found as follows;

We substitute y = 50 in the line of best fit to get;

50 = 0.555·x + 1.629 =

50 - 1.629 = 0.555·x

0.555·x = 48.371

x = 48.371/0.555= 87.155

Therefore, since we are dealing with deliveries, we approximate to the nearest whole number delivery which is 87 deliveries.

4 0

2 years ago

Ray Np is an angle bisector of angle MNQ and measure of Angle PNQ = 2x+1. Find the measure of angle MNQ. If The measure of MNQ=x

Step2247 [10]

Refer to the diagram below.

Because ray NP bisects ∠MNQ, therefore
∠MNP = ∠PNQ = 2x + 1.
Therefore
∠MNQ = 2*∠PNQ = 2(2x + 1) = 4x + 2.

Because ∠MNQ is given as x² - 10, therefore
x² - 10 = 4x + 2
x² - 4x - 12 = 0
(x + 2 )(x - 6) = 0
x = -2, or x = 6

When x = -2,
∠MNQ = 4*(-2) + 2 = -6°
This answer is not acceptablle, therefore x = -2 should be rejected.

When x = 6,
∠MNQ = 4*6 + 2 = 26°

Answer: x = 6, and ∠MNQ = 26°

7 0

2 years ago

points P and Q lie 240 m apart in line with and on opposite sides of a communications tower. the angles of elevation to the top

Leona [35]

Answer:

The height of the tower is 130.5m

Step-by-step explanation:

In the question, we are given the following values:

The angles of elevation to the top of the tower from P = 50°

The angles of elevation to the top of the tower from Q = 45°

The angles of elevation to the top of the tower from P = 50°

Hence,cot P = 1/ tan(50°)

The angles of elevation to the top of the tower from Q = 45°

Hence, tan 45° = 1

In the question,we are told Points P and Q lie 240 m apart in line with and on opposite sides of a communications tower.

Therefore,

PQ = height of the tower( tan Q + 1/tan P)

240m = height of the tower( tan 45° + 1/ tan 50°)

240m = h(1 + 1/tan 50°)

h = (240 m)/(1 + 1/tan (50°))

h = 130.49863962 meters

Therefore, the height of the tower to the nearest tenth of a meter is 130.5 meters(m)

5 0

2 years ago