MATHEMATICS HIGH SCHOOL

16x ^ 2 - 8xy + y ^ 2​

Answers

Answer 1
Answer:

Answer:

(4x-y)^2

Step-by-step explanation:

16x^2 - 8xy + y^2 = (4x)^2 - 2*4x*y + (y)^2 the square of the difference

= (4x-y)^2

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Which system of equations can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x?

Answers

we have

4x^5-12x^4+6x=5x^3-2x

Separate the equation above in two equations

equation 1

y=4x^5-12x^4+6x

equation 2

y=5x^3-2x

we know that


In a system of equations the roots of the equation 1 must satisfy equation 2 and the roots of the equation 2 must satisfy equation 1

therefore

the answer is

The system of equations is

y=4x^5-12x^4+6x

y=5x^3-2x
Simplifying 4x4 = 12x2 Solving 4x4 = 12x2 Solving for variable 'x'. Reorder the terms: -12x2 + 4x4 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -12x2 + 4x4 = 0 Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-3 + x2) = 0

Half of j minus 5 is the sum of k and 13

Answers

(1)/(2)j-5=k+13

Final answer:

The statement 'Half of j minus 5 is the sum of k and 13' represents an algebraic equation and it can be written in the mathematical form as j/2 - 5 = k + 13. To solve for j, the equation can be rearranged to j = 2*(k + 13 + 5).

Explanation:

The question seems to involve solving an algebraic equation. First, let's convert the statement, 'Half of j minus 5 is the sum of k and 13', into its mathematical form.

Here 'half of j' can be written as j/2, 'minus 5' as '- 5', and 'the sum of k and 13' can be written as k + 13.

So the mathematical equation is: j/2 - 5 = k + 13.

If you need to solve this for j, you can rearrange the equation like so: j = 2*(k + 13 + 5). This formula will give you the variable j with respect to variable k.

Learn more about Algebraic Equation here:

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A cell phone manufacturer chose 200 people at random and asked them whether they would purchase the newest model for $300. The manufacturer repeated this survey using the same method three more times.Do any of the surveys appear to be biased?

Would purchase new model for $300? Survey
1 2 3 4
Yes 127 131 128 133
No 73 69 72 66


A.
Yes, because the results from Survey 1 differ the most from the other surveys’ results.

B.
Yes, because the results from Survey 4 differ the most from the other surveys’ results.

C.
No, because the sampling methods are all different but have about the same results.

D.
No, because all four surveys have about the same number of people saying “yes” and about the same number of people saying “no.”

Answers

Yes, because the results from Survey 4 differ the most from the other surveys’ results.

A new car sells for $25,000. The value of the car decreases by 15% each year. What is the approximate value of the car 5 years after it is purchased?

Answers

The answer is $11,092.63.

This could be calculated using the proportion. If the value of the car decreases by 15% each year, that means that after each year the value of the car is 85% of the value from the first year.

After 1st year:
$25,000 : 100% = x1 : 85%
x1 = $25,000 · 85% ÷ 100%
x1 = $21,250

After 2nd year:
$21,250 : 100% = x2 : 85%
x2 = $21,250 · 85% ÷ 100%
x2 = $18,062.5

After 3rd year:
$18,062.5 : 100% = x3 : 85%
x3 = $18,062.5 · 85% ÷ 100%
x3 = $15,353.12

After 4th year:
$15,353.12 : 100% = x4 : 85%
x4 = $15,353.12 · 85% ÷ 100%
x4 = $13,050.15

After 5th year:
$13,050.15 : 100% = x5 : 85%
x5 = $13,050.15 · 85% ÷ 100%
x5 = $11,092.63

Therefore, the value of the car 5 years after it is purchased is $11,092.63.

Answer:

Option A on edg

Step-by-step explanation:

A train running at a speed of 108 km/h crosses a pole in 32 seconds . the length of train is ?

Answers

Answer:

Given speed of train = 108 km/hour ⇒ Speed of train = 108 × 5/18 = 30 m/sec Since, we know that Distance = Speed × time ⇒ Distance = 30 × 32 = 960 m ∴ Length of train is 960 m

Step-by-step explanation:

Final answer:

The length of the train is calculated by using the formula 'distance = speed * time'. After converting the speed from km/h to m/s, we find that the length of the train is 960 meters.

Explanation:

To answer your question, we'll need to use the concept of speed in physics. Speed is essentially distance covered per unit of time. Since we are given that the train is running at a speed of 108 km/h and it crosses a pole in 32 seconds, we can use these metrics to find the length of the train, as the train length is the distance covered when the train crosses the pole.

First, we need to convert the speed from km/h to m/s, as we need the answer in a standard form. 1 km = 1000 m, and 1 hour = 3600 seconds. So, 108 km/h = 108 * 1000 m/3600 s = 30 m/s.

Next, we use the formula 'speed = distance/time'. Here, we need to find the distance (or the length of the train), so we rearrange that formula to get 'distance = speed * time'. That means, the length of the train = speed of the train * time taken to cross the pole = 30 m/s * 32 s = 960 m.

So, the length of the train is 960 meters.

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Help me please 20 points

Answers

Answer:

- 8n + 9

Step-by-step explanation:

A - B

= - 3n + 2 - (5n - 7) ← distribute by - 1

= - 3n + 2 - 5n + 7 ← collect like terms

= - 8n + 9 → or 9 - 8n
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