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Vaselesa [24]
3 years ago
14

I need the answers to 8 and 9

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
4 0

Answer:

8. X=60 and z=60

9. angle x=80

I think this is the answer, sorry if it isn't let me know.

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What are the solutions of the quadratic equation 4x^2-8x-12=0
Wewaii [24]

Answer:

<h3>          x₁ = -1,   x₂ = 3</h3>

Step-by-step explanation:

4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3

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What is the slope of the line on the graph?
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3 years ago
What is the value of the sum of all the terms of the geometric series 300, 60, 12, …?
ruslelena [56]
<h3>Answer:   375</h3>

=========================================

Work Shown:

a = 300 = first term

r = 60/300 = 0.2 = common ratio

We multiply each term by 0.2, aka 1/5, to get the next term.

Since -1 < r < 1 is true, we can use the infinite geometric sum formula below

S = a/(1-r)

S = 300/(1-0.2)

S = 300/0.8

S = 375

----------

As a sort of "check", we can add up partial sums like so

  • 300+60 = 360
  • 300+60+12 = 360+12 = 372
  • 300+60+12+2.4 = 372+2.4 = 374.4
  • 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88

and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.

----------

Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.

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3 years ago
Find the value of the expression 2xy^3 if x=3 and y=-2?
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So this question basically asks what is 2 x 3 x -2³ and that equals 6 x -8 = -48
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Find the inverse of the function g(x)=(x-4)^2+11
dusya [7]

Answer:

y= \sqrt{x-11} - 4

Step-by-step explanation:

switch the x and y and solve for y.

4 0
3 years ago
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