MATHEMATICS HIGH SCHOOL

The sum of the roots of the equation (1/2)x^2-(5/4)x-3=0

a.5/2
b.2
c.1/2

Answers

Answer 1
Answer: (1/2)x² - (5/4)x - 3 = 0

0.5x² - 1.25x - 3 = 0

Comparing to the quadratic function, ax² + bx + c = 0,    
a = 0.5,  b = -1.2,  c = -3.

Sum of roots = -b/a   =    -(-1.25)/0.5 =    1.25/0.5 = 2.5

2.5 = 5/2  Option (a)
Answer 2
Answer: A)5/2 is the answer.

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Literal Equations: C=2πr solve for r

If you have earned income, which of the following retirement devices must you contribute to, by law

Answers

The correct answer is:

Social Security.

Explanation:

By law, every person must pay into Social Security when they get a job.

Social Security was developed by Franklin Roosevelt during the 1930s. It was created with the intention of creating a pension for all working people, regardless of the job they work. For this reason, everyone pays in to Social Security while they work and can draw it at retirement.

What is the following number in decimal form?8.61 × 10 –8
a. 0.000000861
b. 0.0000000861
c. 8,610,000
d. 861,000,000

Answers

the correct answer is b

Which of the following is a multiple of 2? A. 847 B. 1,000 C. 2,461 D. 75

Answers

it would be B.) reason being 1,000 is the only even number. solving the problem you ar multiplying by two (even number) not an odd number.
Hope this helps 

The 1000 is a multiple of 2, so the correct option is B.

Here to find the multiple of 2, we need to divide in following numbers:

The number are 847, 1000, 2461 and 75.

847/2 = 423.5.

1000/2 = 500.

2461/2 = 1230.5.

75/2 = 37.5.

Reason being 1,000 is the only even number, solving the problem multiplying by two (even number) not an odd number.

Therefore, the 1000 is a multiple of 2.

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How to find an equation of line parallel to a line?

Answers


If two lines are parallel, then they have the same slope.  Take the slope
of the line that you know, and use it for the new line.  If you also need to
find the intercept of the new line, then you need some more information ...
the intercept is not the same as the line that you know.

Final answer:

To find the equation of a line parallel to a given line, identify the slope of the given line and choose any point on that line, then use the point-slope formula to find the equation of the parallel line.

Explanation:

To find the equation of a line parallel to a given line, follow these steps:

  1. Identify the slope of the given line. Let's call it 'm'.
  2. Select any point on the given line. Let's call the coordinates of this point (x₁, y₁).
  3. Use the point-slope formula, y - y₁ = m(x - x₁), where (x, y) represents any point on the parallel line.
  4. Simplify the equation to get the final equation of the line parallel to the given line.

Let me know if you need further assistance!

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93 is the sum of a number g and 58

Answers

Assuming you are hoping to obtain the value of "g", to solve worded algebra problems like these, it is easier to translate the world problem into a mathematical equation first.

In this case, "93 is the sum of a number g and 58" can be translated to:

93 = g + 58

To find the value of g, it is necessary to isolate g first. To do this, we subtract both sides of the equation by 58:

93 - 58 = g + 58 - 58
93 - 58 = g

Simplifying:
g = 35

Answer:

g=35

Step-by-step explanation:

Barry wants to take out a loan from his bank for $1000 to buy bicycle the interest rate on the loan from the bank is 9% he wants to pay the toll amount in three monthly payments what is the amount that vary with pay in interest rate loan

Answers

The required interestpaid by Barry is given as, $22.5.

Given that,
Barry wants to take out a loan from his bank for $1000 to buy a bicycle the interest rate on the loan from the bank is 9% he wants to pay the toll amount in three monthly payments what is the amount that varies with pay in interest rate loan is to be determined.

What is interest?

Simpleinterest is defined as the percentage of earnings on the lending for a period of time

Here,
Principal = 1000
Rate = 9%
Time = 3 / 12 = 0.25 years
So,
Interest = Principal × rate × time
interest = 1000 × 0.09 × 0.25
Interest = $22.5

Thus, the required interestpaid by Barry is given as, $22.5.

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Answer:

22.50

Step-by-step explanation:

formula I=prt

I=1000x0.09x.25

I=22.50
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