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DedPeter [7]
3 years ago
7

Is x-10 a factor of f(x)=5x^3+60x^2+109x+90

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

No

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.

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Sergeeva-Olga [200]

Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

The standard linear equation is expressed as y = mx+c

m is the slope

c is the intercept

m = 185 - 105/20-10

m = 80/10

m = 8

Get the y-intercept

Since y = mx+c

105 = 8(10) + c

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c = 25

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y = 8x + 25

Hence the required equation is y = 8x + 25

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3 years ago
What does (r-c) represent in this context?
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Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?
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Answer:

Step-by-step explanation:

we have that

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Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point (-0.5, -9.3)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points (-3.5, 0)  and (2.5, 0)

so

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Answer:

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Step-by-step explanation:

First we need a common demoninator:

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Then we subtract the two to figure out how much 420 Litres is:

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5 0
1 year ago
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