MATHEMATICS HIGH SCHOOL

Find two numbers whose product is -140 and sum is -4.

Answers

Answer 1
Answer: \left\{\begin{array}{ccc}x\cdot y=-140\nx+y=-4& y=-x-4\end{array}\right\n\nsubstitute:\n\nx\cdot(-x-4)=-140\n-x^2-4x+140=0\n\n\Delta=(-4)^2-4\cdot(-1)+140=16+560=576;\ \sqrt\Delta=√(576)=24\n\nx_1=(4-24)/(2\cdot(-1))=(-20)/(-2)=10;\ x_2=(4+24)/(2\cdot(-1))=(28)/(-2)=-14\n\ny_1=-10-4=-14;\ y_2=-(-14)-4=14-4=10\n\nAnswer:10\ and\ -14.
Answer 2
Answer: {xy=-140, x+y+4=0)
(xy=-140, y=-x-4)
x=10, y=-14
x=-14, y=10

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Tom just received a credit card with an introductory APR of 0% for nine months and a credit limit of $500. The APR for purchases after the introductory period is 19.9%. The penalty APR is 24.9% and the APR for cash advances is 20.4%. Tom uses his card at the mall and spends $360. If Tom wants to have a balance of $0 before his introductory period expires, what monthly payments should he make?

Answers

Answer:

The monthly payment Tom must make is $40

Step-by-step explanation:

The steps taken in solving the problem is shown below

Tom received a credit card with an APR =0%

The credit limit is = $500

The APT for purchases after the introductory period is = 19.9%

The APR penalty is = 24.9%

APR cash advances = 20.4%

Tom spends $360 with his card at the mall, for which  He wants his balance to be zero  before his introductory period elapses.

For a 9 months period, Tom must divide his spending's  /expenses

Therefore

$360 ÷ 9 months gives  = $40
Given:
0% - APR for nine months
$500 - credit limit
19.9% - APR after nine months
24.9% - APR penalty
20.4% - APR for cash advance

Tom spends $360. He wants to have a zero balance before his introductory period expires.

Tom must divide his spending by 9 months.

$360 ÷ 9 mos = $40

Tom should make a monthly payment of $40 for nine months to achieve a balance of zero before the introductory period expires.

Identify the roots of the function g(x) = x^2 - 8x + 16

Answers


A function doesn't have roots until you give it a numerical value.
Then, the roots are the values of the variable that give the function
that value.

For example, if you said that  g(x) = 0,
then the roots would both be  x = 4 .

But if you said that  g(x)=16, then
the roots would be  x=0  and  x=8 .
A function is not this but for example g times x is

Which correctly gives the location of the point (18, 0)? A. x-axis B. y-axis C. Quadrant I D. Quadrant II

Answers

it would be A cuz 18,0 are in the x-axis not quadrant

Sam determines the zeros of the function f(x) to be 8 and 7. What could be Sam’s function?1.

f(x) = (x − 8)(x + 7)
2.

f(x) = (x − 8)(x − 7)
3.

f(x) = (x + 8)(x + 7)
4.

f(x) = (x + 8)(x − 7)

Answers

Answer:

2. f (x) = (x - 8)\cdot (x-7)

Step-by-step explanation:

Given that function is polynomial, each zero is contained in binomials of the form (x - a), where a is the value of the zero. The number of roots means the number of binomial and the grade of the polynomial. Then, the function has the following form:

f (x) = (x - 8)\cdot (x-7)

In cosequence, the right answer is 2.
Option 2: f(x) = (x-8)(x-7)

x-8 = 0 ⇒ x = 8

x-7 = 0 ⇒ x = 7

A 12-gallon tub has a faucet that lets water in at a rate of 3 gallons per minute, and a drain that lets water out at a rate of 1.5 gallons per minute. If you start with 3 gallons of water in the tub, how long will it take to fill the tub completely?

Answers

Vol of water required to fill up the tub = 12-3 = 9
Rate of water per min  =    3 -1.5  = 1.5/min
Using the formula           vol   =   rt
                                            t = v/r
                                            t =    9/1.5    =   6
  time taken  =    6 mins

There are 4 kings, 4 queens, 4 jacks, and 4 aces, corresponding to these suits. Kings, queens, and jacks are called face cards. If you are not familiar with what these cards look like, below is an image: You shuffle the deck, draw out a card at random, and note whether the card is a face card (either a king, queen, or jack) or not. You then put the card back, shuffle the deck, and draw again. You repeat this process a few more times, for a total of 17 trials. What is the expected number of face cards drawn? Round your answer to two (2) decimal places.

Answers

The expected number of face cards drawn in 17 trials with a number rounded to two is 3.92.

In each trial, the probability of drawing a face card is 3/13, since there are 12 face cards in a standard deck of 52 cards. The expected value of a random variable is the average of the values of each outcome. In this case, the outcome is either drawing a face card or not drawing a face card.

The value of drawing a face card is 1 since it is a success. The value of not drawing a face card is 0 since it is a failure. So, the expected number of face cards drawn in 17 trials is 3.92, calculated by the number of face cards drawn in 17 trials as 17 * (3/13) = 3.92.

Learn more about the probability at

brainly.com/question/31634956
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