MATHEMATICS HIGH SCHOOL

Complete the factorization.4p2 + 36p + 81 = (2p + _________ )2


9


6


2


4

Answers

Answer 1
Answer: If you would like to complete the factorization, you can do this using the following steps:

4p^2 + 36p + 81 = (2p + 9) * (2p + 9) = (2p + 9)^2

The correct result would be 9.

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Let f(x)=x^2 - 16. find f^-1(x).

Answers

f(x)=x^2-16\n\ny=x^2-16\n\nx^2=y+16\n\nx=√(y+16)\n\nf^(-1)(x)=√(x+16)
A quadratic function doesn't have inverse function. But you can find inverse function for each of its "arms".

f(x)=x^2-16 \Rightarrow x_(vertex)=0\n y=x^2-16\n x^2=y+16\n x=-√(y+16) \vee x=√(y+16)\n f^(-1)(x)=-√(x+16) \hbox{ for } x<0\hbox{ (left arm)}\n f^(-1)(x)=√(x+16) \hbox{ for } x>0\hbox{ (right arm)}

Write the perimeter of the floor plan shown as an algebraic expression in x.

Answers

Answer:

Perimeter = 2x + 64

Step-by-step explanation:

Perimeter = Sum of the lengths of the borders

From the given figure, we need to find the missing length.

Missing length = 18 - 10 = 8

Another missing length = (x + 14) - (x + 8) = x + 14 - x - 8

= 14 -8

= 6

Now let's add all the sides.

Perimeter = x + 14 + 8 + 6 + 10 + x + 8 + 18

Now add all the x terms and constants

Perimeter = 2x + 64
I believe the answer is --> p(perimeter) = 2x + 64 in the simplest algebraic expression.

suppose you have a 1/10 chance of winning with a scratch off lottery ticket if you buy 5 tickets what is the probability of winning with all five

Answers

What is probability ?

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Let us assume that, A be the event of winning the lottery.

The probability of winning is,

P(A) = 1/10

Since, 5 tickets are bought,

The probability of winning all five can be given by formula ^nc_rp^r.q^(n-r)

According to the given condition,

n=5 and r=5

Probability = ^5C_5(1/10)^5   = (1/10)⁵

Therefore, the probability of winning all five =  (1/10)⁵

To know more about Probability on:

brainly.com/question/12478394

#SPJ2

Answer:

10^(-5)

Step-by-step explanation:

Let us assume that, A be the event of winning the lottery.

The probability of winning is,

P(A)=(1)/(10)

You bought 5 tickets. Winning all the five lotteries will be,

P(\text{A and }\text{A and }\text{A and }\text{A and }\text{A})=P(A)\cdot P(A)\cdot P(A)\cdot P(A)\cdot P(A)\n\n=(1)/(10)\cdot (1)/(10)\cdot(1)/(10)\cdot(1)/(10)\cdot(1)/(10)=(1)/(10^(5))=10^(-5)

The probability that a random variable is greater than or equal to z standard deviations from the mean in a standard normal distribution is p%. What can be said with certainty about the probability that the random variable is less than or equal to –z standard deviations from the mean?

Answers

Answer:

B: The probability is equal to p%.

Step-by-step explanation:
P(Z≥z)=p% may help out... (:

Which equation would best help solve the following problemhideki throws a baseball ball upward with an intitial velocity of 12m/s. when he throws the ball, it is 2 m above the ground. how long will it take the ball to hit the ground?

Answers

find the time by its formula

Circle Q has the central angle ∠AQB with a measure of 55°. Which of the following option is not true? AB is a minor arc
the measure of AB=110 degrees
The center of the circle point is Q
The measure of AB=55 degrees

Answers

Answer with explanation:

It is given about a Circle centered at Q, having measure of Central Angle AQB  =55°

(A). Which says that AB is minor arc.Because of measure of central angle is , 0°<Central Angle <180°.

(B). The Measure of arc AB ≠110°, Since ,∠AQB=55°, Nor Reflex (∠AQB)≠110°.

(C). Yes, it is true statement , that center of this circle is at point Q.

(D). The Measure of minor arc,AB making angle with the Point Q is equal to =55° is certainly true Statement.

Among , the four statement , Second assertion is false which states that,the measure of AB=110 degrees .

The measure of AB is 110 degrees
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