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3 years ago

Find the sum of 7a^3+14a+12 and -6a^3+12a^2-7

Mathematics

1 answer:

Rasek [7]3 years ago

4 0

Answer:

a³+2a³+5

Step-by-step explanation:

7a³+14a+12+{-6a³}+12a²-7

=7a³-6a³+14a+12a²+12-7

=a³+2a³+5

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Joshua uses a rule to write the following sequence of numbers 1/6,1/2,5/6,----------,11/2 What rule did Joshua use? What is the

Pani-rosa [81]

Answer: The missing number in the sequence is $\frac{7}{6}$

Step-by-step explanation:

Since we have given that

$\frac{1}{6},\frac{1}{2},\frac{5}{6},----------,\frac{11}{2}$

First term = a= $\frac{1}{6}$

Common difference = d is given by

$d=a_2-a_1\\\\\frac{1}{2}-\frac{1}{6}\\\\=\frac{6-2}{12}\\\\=\frac{4}{12}=\frac{1}{3}\\\\Similarly,\\d=a_3-a_2\\\\=\frac{5}{6}-\frac{1}{2}\\\\=\frac{10-6}{12}\\\\=\frac{4}{12}\\\\=\frac{1}{3}$

Therefore, it forms an arithmetic sequence.

Since, $a_4$ is missing,

So,

$a_4=a+3d\\\\a_4=\frac{1}{6}+3\times \frac{1}{3}\\\\a_4=\frac{1}{6}+1\\\\a_4=\frac{1+6}{6}\\\\a_4=\frac{7}{6}$

Hence, the missing number in the sequence is $\frac{7}{6}$

4 0

3 years ago

Read 2 more answers

Item 5 Solve for b. − 1 3 b=9 What is the answer?

snow_lady [41]

Answer:

b = -27

Step-by-step explanation:

-1/3 b = 9

Multiply each side by -3

-3 * -1/3 b = -3 * 9

b = -27

7 0

3 years ago

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The length, width, and height of a rectangular solid are 13.5, 12, and 14.1, respectively. Find the volume.

Finger [1]

You have to multiply the length by the width and the sum of that you will multiply by the height. In this case 13.5 times 12 is 162. So 162 times 14.1 is 2284.2

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3 years ago

If x-5=2, then find the value of 6x-20

Dimas [21]

X-5=2
x=7
7*6=42
42-20=22

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3 years ago

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1. What is an equation of a line, in point-slope form, that passes through (1,-7) and has a slope of -2/3?

Nookie1986 [14]

1. What is an equation of a line, in point-slope form, that passes through (1,-7) and has a slope of -2/3?

Point Slope form y − y1 = m(x − x1)

Y1: -7 x1:1 slope :-2/3

Y-(-7)=-2/3(x-1)

Y+7=-2/3(x-1)

2. What is the equation of a line, in point-slope form, that passes through (-2,-6) and had a slope of 1/3?

Y-(-6)=1/3(x-(-2))

Y+6=1/3(x+2)

3.What is an equation in point-slope form of the line that passes through the points (4,5) and (-3,-1)

SlopeM: =change in y/change in x

M= -1-5/-3-4

M= -6/-7

M=6/7

So now slope:6/7, point (4,5)

Y-y1=m(x-x1)

Equation in point slope

Y-5=6/7(x-4)

6 0

4 years ago