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Mathematics

1 answer:

schepotkina [342]2 years ago

7 0

Answer:

n / 8

p x 4

b + 14

Step-by-step explanation:

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What is the slope of the line segment? 5 1/5 -1/5 -5

Elanso [62]

Answer:

Step-by-step explanation:

Calculate slope by choosing two points. (1, 5) and (2, 10)

slope = (10 - 5) / (2 - 1) = 5/1 = 5

6 0

3 years ago

Which equation represents a line with a slope of 5/2and a y-intercept of -8/3

Ludmilka [50]

Answer:

y=5/2x-8/3

Step-by-step explanation:

The equation is y=mx+b

M is the slope and b is the y-intercept.

7 0

2 years ago

Explain why x and 4x - 10 are factors of the expression x(4x - 10)3 rather than terms of the expression. What are the terms of t

andriy [413]

Solution :- Let p(x) be the polynomial such that

$p(x) = x(4x-10)^3\\\text{and let f(x) be another polynomial such that }\\f(x)=4x-10\\\text{To find , Put } f(x)=0\\\Rightarrow4x-10=0\\\Rightarrow4x=10\\\Rightarrow x=5/2\\\text{Now substituting value of x in p(x),we get}\\p(x)=\frac{5}{2} .(4(5/2)-10)^3\\\Rightarrow\frac{5}{2}.(10-10)^3=0\\\text{Similarly let g(x)=x ,we get x=0 by putting g(x)=0}\\\text{now f(x)=0 for x=0}\\\text{So by Factor theorem f(x) and g(x) are the factors of polynomial p(x)}\\$

$\text{Now} p(x) = x(4x-10)^3\\=64x^4-480x^3+1200x^2-1000x\\\text{so the terms of terms of } p(x) \text{are} 64x^4,-480x^3,1200x^2,-1000x\\\text{here, by using Factor theorem x is a factor of all the terms but 4x-10 is not. }$