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amid [387]
3 years ago
5

(a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)

Mathematics
2 answers:
boyakko [2]3 years ago
8 0

Answer:

The simplified form is

-3a^3+5a^2-3a+7          

Step-by-step explanation:

Given the expression

(a^3-2a+5)-(4a^3-5a^2+a-2)

we have to simplify the above expression.

(a^3-2a+5)-(4a^3-5a^2+a-2)

Step 1: Opening the brackets

a^3-2a+5-4a^3+5a^2-a+2

Step 2: Combining like terms

(a^3-4a^3)+5a^2-(2a+a)+(5+2)

-3a^3+5a^2-3a+7

which is required simplified form

rosijanka [135]3 years ago
5 0
(a^3 - 2a + 5) - (4a^3 - 5a^2 + a - 2)
=a^3 - 2a + 5 - 4a^3 + 5a^2 - a + 2
= -3a^3 + 5a^2 - 3a + 7
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Write the equation of the line that passes through (5, 6) and (8, 4) in slope-intercept form.
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Answer:

Step-by-step explanation:

<h3>Equation of the line in slope- intercept form:</h3>

       \sf \boxed{\bf y = mx +b}

Here, m is the slope and b is the y-intercept

  Find the slope with the given two points.

   \sf \boxed{slope = \dfrac{y_2-y_1}{x_2-x_1}}

             \sf =\dfrac{4-6}{8-5}\\\\=\dfrac{-2}{3}

Slope = -2/3 and choose any one the given points.

Substitute m = -2/3  and (5,6)  in the above equation and find 'b'

      \sf 6 =\dfrac{-2}{3}*5+b\\\\6 =\dfrac{-10}{3}+b\\\\6+\dfrac{10}{3}=b\\\\\dfrac{6*3}{1*3}+\dfrac{10}{3}=b\\\\\dfrac{18}{3}+\dfrac{10}{3}=b\\\\\boxed{b=\dfrac{28}{3}}

Equation of the line:

            y = \dfrac{-2}{3}x + \dfrac{28}{3}

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2 years ago
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in a canoe race, a team paddles downstream 480 m in 60 s. The same team makes the trip upstream in 80 s. Find the team's rate in
Vera_Pavlovna [14]
480=60(v+s) 

480=60v+60s

8=v+s

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480=80(v-s)  using s from above we get:

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v=7, and since s=8-v, s=1

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3 years ago
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Answer:

11.

Step-by-step explanation:

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