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xenn [34]
3 years ago
5

I need help in my homework here it is Solve the equation for x. x3 = 729

Mathematics
2 answers:
ki77a [65]3 years ago
8 0

Firstly the coefficient, or the number next to the variable, which is x, goes before it. So instead of x3, it's 3x.

So, to solve to find what x is, you need to divide by 3 on both sides of the equal sign.

3x=729

Dividing by 3 on the left cancels out the 3, leaving just the x.

Dividing the other side gets you what x equals.

x= 243

Andrej [43]3 years ago
6 0

x3=729

729/3= 243

x=243

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3 years ago
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rusak2 [61]

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  • See below

Step-by-step explanation:

f(x) is quadratic function and g(x) is linear (since AP in the right column).

<u>Find the equation of the function f(x), use the points on the graph:</u>

  • f(x) = ax² + bx + c
  • c = 5 as the y-intercept is (0, 5)
  • a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
  • a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4

<u>The function is:</u>

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Find the equation of g(x)

<u>Find the slope of g(x):</u>

  • m = (1 - 7)/(-1 + 4) = -2

<u>Use (-4, 7) to find its equation:</u>

  • y - 7 = -2(x + 4)
  • y = -2x + 7 - 8
  • y = -2x - 1
<h3>See the required comparison below</h3>

<u>The y-intercepts:</u>

  • f(x) ⇒ 5,
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<u>Average rate of change in the interval [2,5]:</u>

  • f(x) ⇒ (0 - 9)/(5 - 2) = -3
  • g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
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<u>Max of function in the interval [-5, 5];</u>

  • f(x) ⇒ 9, vertex of the function
  • g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
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4 0
3 years ago
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