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Readme [11.4K]
3 years ago
15

PLS HELP any hints appericated(40 Points)

Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0

Answer:

  • See below

Step-by-step explanation:

1) Solve the equation: [4ax - (a + b)](a + b) = 0, where a and b are constants.

  • if a + b = 0, then x has infinitely many solutions

or

  • 4ax = a + b
  • x = (a + b)/4a, a≠0

2) Solve the equation m²x + 1 = m(x + 1), where m is a parameter.

  • m²x + 1 - mx - m = 0
  • (m²- m)x = m - 1
  • m(m - 1)x = m - 1
  • mx = 1
  • x = 1/m, m≠0

3) Given that the equation a(2x - 1) = 3x - 3 has no solution, find the value of the parameter a.

  • a(2x - 1) = 3x - 3
  • 2ax - a = 3x - 3
  • 2ax - 3x = a - 3
  • (2a - 3)x = a - 3
  • x = (a - 3)/(2a - 3)

<u>The equation has no solution if:</u>

  • 2a - 3 = 0
  • 2a = 3
  • a = 1.5
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Using a linear function, it is found that the algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week is:

  • y(m) = 0.6m + 340

<h3>What is a linear function?</h3>
  • A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • He pays an amount per mile, plus a flat weekly fee.
  • Researching the problem on the internet, it is found that the weekly fee for the small truck is of $340, hence b = 340.
  • For each mile, he pays $0.6, hence the slope is of a = 0.6.

Then, the expression is:

y(m) = 0.6m + 340

To learn more about linear function, you can take a look at brainly.com/question/25823744

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3 years ago
Answer C,D,E,F<br><br><br>Snsjma
Ulleksa [173]

Answer:

f) 97° = m∠6

e) 83° = m∠5

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c) 97° = m∠3

b) 97° = m∠2

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Step-by-step explanation:

  • m∠5 ≅ m∠4; Angle Correspondence Theorem
  • m∠5 ≅ m∠1; Alternate Interior Angles Theorem
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  • 180° = m∠5 + m∠3; Definition of Linear Pair [Supplementary Angles]

I am joyous to assist you anytime.

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