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Nikitich [7]
3 years ago
8

Simplify the polynomial expresion : (5x^2 - 7x +10) +(7x^2 - 11) +(-x^2 +7x- 2)​

Mathematics
1 answer:
MrRa [10]3 years ago
7 0

Answer:

Step-by-step explanation:

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A coral reef grows 0.15 m every week. How much does it grow in 11 weeks?
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2 years ago
The function f(x) is defined as, <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%203%20%2B%20%5Cfrac%7B1%7D%7B2x-5%7D" id="TexF
Alex73 [517]

Answer:

a) look at the figure

b) i) x = 2.5 , y = 3

   ii) x-intercept is 2.333

   iii) y-intercept is 2.8

Step-by-step explanation:

a) The points of the graph f(x) = 3+1/2x - 5 are:

f(-5) = 2.9333

f(-4) = 2.923

f(-3) = 2.909

f(-2) = 2.888

f(-1) = 2.857

f(0) = 2.8

f(1) = 2.666

f(2) = 2

f(3) = 4

f(4) = 3.333

f(5) = 3.2

b)

i) to find the vertical asymptotic put the denominator = 0

  2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 5 ÷ 2 = 2.5

∴ The equation of the vertical asymptotic is x = 2.5

To find the horizontal asymptotic look at the degree of the numerator and denominator

∵ they are equal f(x) = (6x -14)/(2x - 5) ⇒ 6x ÷ 2x = 3

∴ The equation of the horizontal asymptotic is y = 3

ii) the value of x-intercept means put f(x) = 0

∴3 + 1/2x - 5 = 0 ⇒ 1/2x - 5 = -3 ⇒ -6x + 15 = 1 ⇒ 6x = 14

  x = 14/6 = 2.333

iii) The value of y-intercept means x = 0

∴ f(x) = 3 + 1/0 - 5 = 3 + (-0.2) = 2.8

4 0
2 years ago
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