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QveST [7]
3 years ago
14

F(x) = 4x and g(x) = f Superscript one-half x

Mathematics
1 answer:
Burka [1]3 years ago
4 0

Answer:

Step-by-step explanation:

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Solve the simultaneous equations y=3x+2 and y=x+6
kogti [31]

Answer:

x=2

Step-by-step explanation:

y=3x+2

y=x+6

Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.

Therefore, substitute into both equations as shown:

3x+2=x+6

3x-x=6-2  (bring 2 to the other side by subtracting 2 as well as x)

2x=4

2x/2=4/2  (dividing 2 on both sides to get rid off 2 in 2x)

x=2.

5 0
2 years ago
Consider a parallelogram in which one side is 3 inches long, another side measures 4 inches, and the measurement of one angle is
goldenfox [79]

Answer:

Only one parallelogram can be drawn based on the given conditions.

Step-by-step explanation: just believe me

7 0
2 years ago
A subscription to an online video game costs $14.95 per month. The cost of playing practice matches is included in the
kifflom [539]

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she participated in 4 tournaments

4 0
3 years ago
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
Suppose you pay $29.25 for a pair of shoes that has been discounted 35%. What is the original price of the shoes? Show how you i
Temka [501]
The answer is $30.

We know discounted price of the shoes - $24.
We need to find out the original price of the shoes - x.

The discounted price is 80% of the original price (it is said that <span>shoes have been discounted 20%, so 100-20= 80%).

Let's set up a proportion. If $24 is 80%, how much is 100% (the original price):
$24 : 80% = x : 100 %

After crossing the products:
x = $24 * 100% / 80% = $30

Let's just check the result. After the discount of 20%, shoes will cost:
$30 - 20% = $30 - $30*(20/100) = $30 - $6 = $24.

</span><span>The original price of the shoes is $30.</span>
5 0
2 years ago
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