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Orlov [11]
3 years ago
9

A farmer is planting a straight row of crops with 3 feet between each plant. If 23 are planted, what is the distance between the

first and last plant?
Mathematics
1 answer:
densk [106]3 years ago
5 0
Number of plants planted = 23
with a distance of = 3 m
total distance between the first and the last plant = 22x3 ( because starting from first plant we will not take 23)
ans. = 66m 
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Which of these is the algebraic expression for "4 less than the product of 3 and some number?"
dolphi86 [110]

Answer:

Step-by-step explanation:

3m - 4 is the answer

hope this helps

plz mark it as brainliest!!!!!!!!!!!

3 0
3 years ago
SOMEONE PLEASE HELP! IM REALLY CONFUSED
Mamont248 [21]

Answer:

thanks

Step-by-step explanation:

3 0
2 years ago
Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator
SpyIntel [72]
\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}
\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)

When x=3, you're left with

147=49a_1\implies a_1=\dfrac{147}{49}=3

When x=\sqrt2 or x=-\sqrt2, you're left with

\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}

Adding the two equations together gives -10=2a_5, or a_5=-5. Subtracting them gives 2\sqrt2=2\sqrt2a_4, a_4=1.

Now, you have

5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)
5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)
2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that a_2x^4=2x^4 and a_3(-3)(-2)=6a_3=-6. These alone tell you that you must have a_2=2 and a_3=-1.

So the partial fraction decomposition is

\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}
7 0
3 years ago
Use long division to find each quotient. Show your computation and write your answer as a decimal.
musickatia [10]
A= 4.4 B= 0.875 should be the answers
6 0
3 years ago
A home has dimensions of 35 feet by 57 feet that include an attached 24-foot by 22-foot garage and a 200-square-foot screened po
tekilochka [14]
35*57 = 1995
1995 - ((24*22)+200) = 1267
1267 is your answer.
8 0
3 years ago
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