MATHEMATICS HIGH SCHOOL

What are the possible values of x in 6x^2 + 432 = 0
What are the possible values of x in 6x^2 + - 1

Answers

Answer 1
Answer:

Answer:

x = ±6i sqrt(2)

Step-by-step explanation:

6x^2 + 432 = 0

Subtract 432 from each side

6x^2 =- 432

Divide by 6

6x^2 /6 =- 432/6

x^2 =-72

Take the square root of each side

sqrt(x^2) = ±sqrt( -72)

x = ±sqrt(-1) sqrt(2*36)

We know the square root of -1 = i

x = ±i sqrt(2*36)

x = ±i sqrt(36) sqrt(2)

x = ±6i sqrt(2)

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12. Given y-3 = (x + 1), convert it to standard form.​

Answers

Answer:

x - y = -4

Step-by-step explanation:

Standard Form: Ax + By = C

A is non-negative

Step 1: Define equation

y - 3 = (x + 1)

Step 2: Solve to Standard Form

  1. Add 3 to both sides: y = x + 4
  2. Subtract x on both sides: y - x = 4
  3. Factor out negative: -(x - y) = 4
  4. Divide by -1 on both sides: x - y = -4

-y + (x + 1) = -3 would be the answer in standard form.

G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.Triangle A C E has point G as its incenter. Lines are drawn from the points of the triangle to point G. Lines are drawn from point G to the sides of the triangle to form right angles. Line segments G B, G D, and G F are formed. Angle F E G is (3 n minus 1) degrees and angle D E G is 20 degrees.
What is the value of n?

6
7
20
59G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.

Triangle A C E has point G as its incenter. Lines are drawn from the points of the triangle to point G. Lines are drawn from point G to the sides of the triangle to form right angles. Line segments G B, G D, and G F are formed. Angle F E G is (3 n minus 1) degrees and angle D E G is 20 degrees.
What is the value of n?

6
7
20
59

Answers

Answer:7

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

7

Marcia performs an experiment in which she pulls a marble from a bag. In herexperiment, she finds that she is twice as likely to pull a red marble as a blue
marble. If Marcia pulls 10 red marbles, how many blue marbles does she pull?

Answers

Answer:

She pulls 5 blue marbles

Step-by-step explanation:

Let x be the number of blue marbles

We are given that In her  experiment, she finds that she is twice as likely to pull a red marble as a blue  marble.

So, Number of red marbles = 2x

We are given that Marcia pulls 10 red marbles

So, 2x = 10

x =(10)/(2)

x=5

Hence She pulls 5 blue marbles

Over the summer, Jackie played video games 3 hours per day. When school began in the fall, she was only allowed to play video games for half an hour per day. What is the percent decrease? Round to the nearest percent

Answers

Answer:

percent decrease

Step-by-step explanation:

I believe it is 75% sorry if I'm wrong

Answer:

83%

Step-by-step explanation:

original amount:3

final amount: 0.5

percent change= amount of change/original amount

amount of change = greater value-lesser value =3-0.5=2.5

percent change=2.5/3=0.83=83%

Gibraltar Construction was granted a 1-year construction loan of $650,000 to finance the construction of an apartment complex. Gibraltar borrowed the money from Citizens Trust at an interest rate of 0.75% ordinary interest over the prime rate. What was the maturity value of the loan if the prime rate is 8.75%?

Answers

Given:
loan: 650,000
prime rate: 8.75%
interest rate of 0.75% ordinary interest over the prime rate

Interest rate: 8.75% + 0.75% = 9.5%

650,000 x 9.5% x 1 =  61,750 interest

maturity value: 650,000 + 61,750 = 711,750

Can two fractions with the same numerator and different denominators be equal? Can the opposite be true?

Answers

Ye they can be equal
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