MATHEMATICS HIGH SCHOOL

Factors for x squared plus 9x plus 18

Answers

Answer 1

Answer: It is 3-6
So (x+6)(x+3) because 6*3=18 and 6+3=9

Answer 2

Answer:

Answer:(X+3)(X+6)

Step-by-step explanation:

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Find the roots of... X^2+10X+34

Answers

$x^2+10x+34=0\n\nx^2+2\cdotx\cdot5+5^2+9=0\n\n(x+5)^2=-9\ \ \ \Rightarrow\ \ \ no\ real\ solution\n\n(x+5)^2=9\cdot i^2\ \ \ \Rightarrow\ \ \ ( x+5=3i\ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x+5=-3i)\n\nx_1=-5+3i,\ \ \ \ \ x_2=-5-3i\ \ \ \rightarrow\ \ \ two\ complex\ numbers\ solution$

$x^(2) +10x+34=0\n \n \Delta=10^2-4.1.34=100-136=-36\n \n \boxed{x=(-10\pm√(-36))/(2)=(-10 \pm6i)/(2)=-5\pm3i}$

On Monday, it took Helen 3 hours to do a page of science homework exercises. The next day she did the same number of exercises in 2 hours. If her average rate on Monday was pexercises per hour, what was her average rate the next day, in terms of p?

Answers

p- it is amount of exercises
average= $(exercises)/(hour)$
Monday average= $(p)/(3h)$
Tuesday average= $(p)/(2h)$
If we take into account both days and calculate average from Monday and Tuesday ( we sum 3h on Monday and 2 hours on Tuesday and p exercises on Mon and p exercises on Tuesday):
Monday and Tuesday average= $(2p)/(5)$

Write about how to use the dollar sign and decimal point to show the total value of 5 quarters?

Answers

Answer:

5 quarters = $1.25

Step-by-step explanation:

We are required,

To write 5 quarters using dollar sign and decimal point.

Since, we know,

1 quarter = 0.25 dollar

So, we get,

5 quarters = 0.25 × 5 = 1.35 dollars

Thus, we have that,

5 quarters in terms of dollars and decimal point is $1.25.

That is, 5 quarters = $1.25

1 quarter is 0.25
0.25×5=1.25
5 quarters is equal to $1.25

How much interest will be paid in 1 year for a loan of $4500 at 7 1/2% simple interest?

Answers

The answer is $337.50 paid. We would change 7 1/2% (7.5%) to its decimal form which is .075. Then we would multiply that by $4,500 which would get $337.5 or $337.50 which is the same thing. Hope this helped!

Antonio has read 147 pages of a book . He has completed 70% of the book.How many more pages does he need to read to finish the book?

Answers

Answer:

He needs to finish 63 pages.

Step-by-step explanation:

Let the total number of pages he has to read = x,

The percentage of the book he has finished = 70%,

Thus, the number of pages he has finished = 70% of 147,

$=(70x)/(100)$

According to the question,

$(70x)/(100)=147$

$70x=14700$

$x=(14700)/(70)=210$

Hence, the remaining pages he needs to read = total pages - pages which are finished

= 210 - 147

= 63

Answer:

Step-by-step explanation:

After 1 year, a bank account contains $7,746.90. After 2 years, the same account contains $7,901.84. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

Answers

These are the choice given. I'll just substitute x with 1 and 2 to see if the amount corresponds to the given amount.
A.    y = 7591.96(1.02)x
y = 7,591.96(1.02)¹ = 7,743.80
  y = 7,591.96(1.02)² = 7,898.68

B.    y = 7591.96(0.02)x
y = 7,591.96(0.02)¹ = 151.84
y =7,591.96(0.02)² = 3.04

C.    y = 7595(1.02)x THIS IS THE CORRECT EQUATION.
y = 7,595(1.02)¹ = 7,746.90
y = 7,595(1.02)² = 7,901.84

D.    y = 7595(0.02)x

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