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enot [183]
2 years ago
7

Answer for both and explain B 20+ points

Mathematics
1 answer:
Alexxx [7]2 years ago
6 0

Answer:

<u>Given function:</u>

  • g(x) = x² - 6x + c

a)

  • c = 2

<u>Th x-intercept found when g(x) = 0</u>

  • x² - 6x + 2 = 0

<u>Solve the equation to find the values of x:</u>

  • x² - 6x + 2 = 0
  • x² - 6x + 9 = 7
  • (x - 3)² = 7
  • x - 3 = ±√7
  • x = 3 ± √7

The x-intercepts are (3 + √7, 0) and (3 - √7, 0)

b)

  • c = 10

<u>Solve as above:</u>

  • x² - 6x + 10 = 0
  • x² - 6x + 9 + 1 = 0
  • (x - 3)² = -1

The left side is a square of a number which is always positive, the right side is negative.

It means there is no solution, so no-x-intercepts.

The graph of the function lies above the x-axis.

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Step-by-step explanation:

Given:

4a\sqrt{x} = \frac{1}{b}

To make x the subject of the formula means that we want to make x to stand alone , the first thing to do is to multiply through by 1/4a , that is

\sqrt{x} = \frac{1}{4ab}

take the square  of both sides:

x = (\frac{1}{4ab})^{2}

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2 years ago
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Oduvanchick [21]

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Find the measure of the missing angles.
Rainbow [258]

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how do I solve this quadratic simultaneous equation 2y+2x=7 and x^2-4y^2=8 it has two sets of solutions and I'm solving by both
Ghella [55]
These are all the possible answers i know from experience.

2x + 2y = 7
x^2 - 4y^2 = 8

2x = -2y + 7
x = -y + 7/2

(-y + 7/2)^2 - 4y^2 = 8

y^2 - 7y + 49/4 - 4y^2 = 8

0 = 3y^2 + 7y + 8 - 49/4

0 = 12y^2 + 28y + 32 - 49

0 = 12y^2 + 28y - 17

y = (-b ± √(b^2 - 4ac))/(2a)

y = (-28 ± √(28^2 - 4(12)(-17)))/(2(12))

Dividing by 2 is like dividing by √(4):

y = (-14 ± √(7*28 + (12)(17)))/(2*6)

y = (-7 ± √(7*7 + (3)(17)))/6

y = (-7 ± 10)/6 = 1/2 or -17/6

x = -y + 7/2 = 3 or 19/3

<span>Solutions are (3,1/2) and (19/3,-17/6)</span>
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