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Alchen [17]
3 years ago
13

Distribute & Simplify 6 + 2 (7x +3y-1)

Mathematics
1 answer:
Nostrana [21]3 years ago
6 0

Answer:

56x+24y-8

Step-by-step explanation:

6 + 2 (7x +3y-1)

8(7x+3y-1)

56x+24y-8

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Darren has a piece of wood that is 7 in by 8 in. Explain how he can divide this large rectangle into two small rectangles
lorasvet [3.4K]

Answer:

Cut it in half so that the two pieces are each 7 in by 4 in.

8 0
3 years ago
Which of the following expressions represents "no more than 5"?
TiliK225 [7]
The less than or equal to sign then 5
5 0
3 years ago
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A man 6ft tall walks at a rate of 6ft/s away from a lamppost that is 23 ft high. At what rate is the length of his shadow changi
Alekssandra [29.7K]
Suppose,
x = distance of the man
<span>s = length of the shadow</span>

<span>Using the idea of similar triangles</span>

<span>6/s = 23/(x + s) </span>

<span>Simplifying:</span>
we get,
<span>6(x + s) = 23s </span>

<span>6x + 6s = 23s </span>

<span>6x = 17s </span>

<span>Differentiating with respect to time, </span>

<span>6(dx/dt) = 17(ds/dt) </span>

<span>Manipulating the above equation for ds/dt,</span>

<span>ds/dt = (17/6)(dx/dt) </span>

<span>ds/dt = (17/6)(6) </span>

<span>ds/dt = 17 ft/sec.</span>
6 0
3 years ago
Perform the indicated operation. <br> f(x) = x^3 + 5x<br> g(x) = 4x<br> Find (f . g)(x)
cestrela7 [59]

Step-by-step explanation:

f(x) =  {x}^{3}  + 5x \\ g(x) = 4x \\  \\  \therefore \: (f.g)(x) = f(x) . g(x) \\  = (  {x}^{3}  + 5x ).4x \\  =  {x}^{3} .4x + 5x.4x \\    \red{{  \boxed{\bold{\therefore \: (f.g)(x) = 4 {x}^{4}  + 20 {x}^{2} }}}}

3 0
3 years ago
What are the three consecutive odd integers that equal 111? After that, answer this:Are there 3 consecutive odd integers that eq
ololo11 [35]
Odd integers are 1 more than even ones
even intergers are represetned as 2n where n is a whole number
odd=2n+1
consecutive odd integers are 2 apart from each other so therefor the numbers are 2n+1,2n+1+2, 2n+1+2+2 or 2n+1, 2n+3, 2n+5
so they add up to 111
2n+1+2n+3+2n+5=111
add like terms
6n+9=111
subtract 9 from both sides
6n=102
divide both sides by 6
n=17
numbers are
2n+1,2n+3,2n+5
subsitute
2(17)+1=34+1=35
therefor since the other sare 2 more
35,37,39 are the numbers


are there 3 that equal 1111? solve and see if it is true
2n+1+2n+3+2n+5=1111
add like terms
6n+9=1111
subtract 9 from both sides
6n=1102
divide both sides by 6
n=183.666666666666
n is not whole so the answer is NO

answer are 35,37,39 and NO
6 0
3 years ago
Read 2 more answers
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