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yan [13]
3 years ago
9

Can you help me with this question ​

Mathematics
1 answer:
love history [14]3 years ago
5 0

Answer:

x=−7/2,−1+i√2−1−i√2

Step-by-step explanation:

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I really need to know how long it takes the large pipe on its own
Andreyy89

s = hours it takes the small pipe on its own.


L = hours it takes the large pipe on its own.


we know the small pipe can do it in 11 hours total, so s = 11, so, how much of the whole job has the small done in 1 hour only?


well, if it takes 11 hours to do the whole thing, in 1 hour it has done only 1/11 of the whole job.


we know both pipes working together can do it in 6 hours flat. So in 1 hour only, both of them have done only 1/6 of the whole thing.


in that 1 hour, how much has the large one done? well, it has only done 1/L of the job.


\bf \stackrel{\textit{how much has it been done by both in 1 hour}}{\stackrel{\stackrel{small}{rate}}{\cfrac{1}{s}}+\stackrel{\stackrel{large}{rate}}{\cfrac{1}{L}}~~=~~\stackrel{job}{\cfrac{1}{6}}} \\\\\\ \cfrac{1}{11}+\cfrac{1}{L}=\cfrac{1}{6}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{66L}}{6L+66=11L}\implies 66=5L \\\\\\ \cfrac{66}{5}=L\implies 13\frac{1}{5}=L\impliedby \textit{13 hours and 12 minutes}


and you can round that up as needed.

7 0
3 years ago
Select the correct answer. What is the range of the function f(x) = 3x − 12 for the domain {-2, 2}? A. {3, 12} B. {-6, -18} C. {
stellarik [79]

Answer:answer of questions get B

,,, just x is between two numbers after that create the function (-6,-18)

6 0
3 years ago
If 3 is added to twice a number and this sum is multiplied by 6​, the result is the same as if the number is multiplied by 5 and
BartSMP [9]
3+2x=y
6y=5x+4
6(3+2x)=5x+4
18+12x=5x+4
14+12x=5x
14=-7x
-2=x
the number is -2
5 0
3 years ago
Which of the following would be considered a monomial? Select all that apply
Vaselesa [24]

Answer:

A and B

Step-by-step explanation:

Since these both only have one term and number/variable, making it a monomial.

4 0
3 years ago
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

3 0
3 years ago
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