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navik [9.2K]
3 years ago
8

What is the midpoint of the x-intercepts of f(x) = (x – 4)(x + 4)? (0,0) (0,4) (–4,0) (2,0)

Mathematics
1 answer:
forsale [732]3 years ago
6 0

Answer:

The midpoint of the x-intercepts of the function is (0, 0)

Step-by-step explanation:

Notice that since the function comes in factor form, we know that its roots (which are actually the intercepts the function has with the x-axis) are: x = 4 and x = -4 (the x-values for which the function renders zero).

These two points are equidistant from the origin of coordinates (0, 0), and therefore the midpoint of these x-intercepts is (0, 0).

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The map shows the beach area on a coordinate plane.
Vedmedyk [2.9K]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
In ΔABC, a = 660 cm, b = 680 cm and c=100 cm. Find the measure of ∠B to the nearest degree.
scoundrel [369]

Answer:

m∠B = 97^{o}.

Step-by-step explanation:

Since the three sides of the triangle are given, then we apply cosine rule.

b^{2} = a^{2} + c^{2} - 2ac Cos B

But, a = 660 cm, b = 680 cm, and c = 100 cm.

So that;

680^{2} = 660^{2} + 100^{2} -2(660 x 100) Cos B

462400 = 435600 + 10000 - 132000 Cos B

462400 = 445600 - 132000 Cos B

132000 Cos B = 445600 - 462400

                        = -16800

Cos B = \frac{-16800}{132000}

         = -0.1273

B = Cos^{-1} -0.1273

  = 97^{o}

Thus, measure of ∠B is 97^{o}.

7 0
3 years ago
Read 2 more answers
In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a)
DENIUS [597]

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

  • Mean rate = 0.3
  • x = 50
  • standard deviation = ?

<h3>Poission Rule</h3>

Using poission formula,

P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431

b)

The probability the next call arrives after 2 hours.

\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488

c)

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

\lambda = 0.3 * 50 * 24 = 360

The mean = 360

The standard deviation is given as

S.D = \sigma =\sqrt{360} = 18.974\\

The probability the sum of these 50 number is less than 356 is

p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165

Learn more on poission formula here;

brainly.com/question/7879375

3 0
2 years ago
What’s the average height round to the nearest tenth
Travka [436]

Answer:

6.24 units.

Step-by-step explanation:

Use the Pythagorean theorem.

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4 years ago
What is the range of h?
Artemon [7]

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Step-by-step explanation:

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