MATHEMATICS HIGH SCHOOL

6.) 9p2 + 6p - 8
-12factoring trinomials ​

Answers

Answer 1
Answer:

Answer:

9p2 + 6p - 8  -12 = 9p^2 + 6p -20

Step-by-step explanation:

You can't change 9p^2 or 6p as we do not know what p is equal to but

-8 + (-12) = -20

So if we put it all together we get 9p^2 + 6p -20

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True or false: is a rectangular also a square

Answers

I do not believe so, because a square is in the rectangle family. If a rectangle was in the square family, it would have to have all sides the same length, wich wouldnt make it a rectangle anymore.

Evaluate limit as x approaches 0 sin^2x/(1-cosx).

Answers

\lim_(x \to 0) (sin ^(2)x )/(1-cos x) = ( (0)/(0) )= \n = \lim_(x \to 0) (1-cos ^(2)x )/(1-cosx)= \n = \lim_(n \to 0) ((1+cosx)(1-cosx))/((1-cosx))= \n = \lim_(x \to 0) (1+cos x) =
= 1 + cos 0 = 1 + 1 = 2

You are given a standard deck of 52 cards. Three cards are chosen at random with replacement. What is the probability of choosing an ace, a spade, and a four?

Answers

Answer:

0.0288 = 2.88%

Step-by-step explanation:

First we need to know that in one standard deck of 52 cards we have 13 ace cards, 13 spade cards, and 4 four cards.

If we want a combination of ace, spade and four, we calculate the probability of each one, and then multiply them all:

The probability of getting an ace is 13/52 = 1/4

The probability of getting a spade is 13/52 = 1/4

The probability of getting a four is 4/52 = 1/13

As the order of our three cards doesn't matter, we have 3! (factorial of three) = 6 different ways of having a group of ace, spade and four, so our total probability will be multiplied by 6.

So, our probability is:

(1/4) * (1/4) * (1/13) * 6 = 6/208 = 3/104 = 0.0288 = 2.88%

Answer:

Probability = 0.23

Step-by-step explanation:

Probability of picking it choosen those at random without replacement =Pr(ace) + Pr(spade)+Pr(a four)

Probability = 4/52 + 4/52 + 4/52

Probability= 3(4/52)

Probability = 0.23

The Buzz tool company issued 1000shares of common stock. I the total value of this issue was $50000.00, what is the par value of each share

Answers

 1. $50,000. divided by 1000 shares = $50. per share 
2. The market price is 49 1/4, or $49.25 
3 . It is selling par.(Par =$50,selling$49.25) 

$50,000.00 ÷ 1,000 = $50.00

$49.25

Below par, because the par value is $50.00

$5.00 × 20 = $100.00

a. I

b. R

c. S

d. S

e. I

f. I

g. S

h. S

The diagonals of parallelogram ABCD intersect at point E. Which of the following statements is not necessarily true?a. BD bisect AC
b. AB=CD
c. BAD=BCD
d. AC=BD

Answers

Answer:

(D)

Step-by-step explanation:

It is given that The diagonals of parallelogram ABCD intersect at point E.

then, using the properties of parallelogram, we get

(A) BD bisects AC

This is correct statement because the diagonals bisect each other in parallelogram.

(B) AB=CD

This is correct statement because the opposite sides of the parallelogram are equal.

(C) ∠BAD=∠BCD

This is correct because opposite angles of the parallelogram are equal.

(D) AC=BD

This is not necessarily true, because if the diagonals of parallelogram are equal, then it is a rectangle.

Hence, option D is correct option that is not necessarily true.
I hope this helps you

Gary bought a car for $40,000. If V = 40,000(.85)t represents the value of the car after t years, how long will it take the car to be worth less than one-fourth of its purchase price? A) 4 years B) 6 years C) 8 years D) 9 years

Answers

Answer:

D) 9 years.

Step-by-step explanation:

We have been given that Gary bought a car for $40,000 and equation V=40,000(0.85)^t represents the value of the car after t years.

First of all we will find the one-fourth of 40,000.

\text{One-forth of car's purchase price}=(\$40,000)/(4)

\text{One-forth of car's purchase price}=\$10,000

To find the time it will take the car to be worth less than one-fourth of its purchase price, we will substitute V=10,000 in our given equation.

10,000=40,000(0.85)^t

Let us divide both sides of our equation by 40,000.

(10,000)/(40,000)=(40,000(0.85)^t)/(40,000)

0.25=0.85^t

Let us take natural log of both sides of our equation.

ln(0.25)=ln(0.85^t)

Using natural log property ln(a^b)=b*ln(a) we will get,

ln(0.25)=t*ln(0.85)

(ln(0.25))/(ln(0.85))=(t*ln(0.85))/(ln(0.85))

(-1.3862943611198906)/(-0.1625189294977749)=t

8.530048563597=t

Upon rounding our answer to the nearest year we will get,

t\approx 9

Therefore, it will take 9 years the car to be worth less than one-fourth of its purchase price and option D is the correct choice.
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