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SVETLANKA909090 [29]
1 year ago
7

5. a. Three metal rods of lengths 234cm, 270cm and 324cm were cut into shorter pieces, all of the same length to make window gri

lls. Calculate the length of the longest piece that can be cut from each of the rods and hence the number of pieces that can be obtained from the rods. ​
Mathematics
1 answer:
neonofarm [45]1 year ago
5 0

Answer:

Step-by-step explanation:

you find the L.C.M

18 234 270 324

 13 13 15 18

3 1 15 18

 5 1 5 6

 6 1 1

 1 1 1 ans=18×13×3×5×6=21060

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nikitadnepr [17]
The correct answer is B.If a and b are odd,then axb is odd.
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3 years ago
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Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions.
lesya692 [45]

Answer:

\displaystyle f(x) = -2(x-2)(x^2+4)

Step-by-step explanation:

We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.

Hence, we will have the three factors:

\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))

Where <em>a</em> is the leading coefficient.

Expand and simplify the second and third factors:

\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}

Hence:

\displaystyle f(x) = a(x-2)(x^2+4)

Since f(-1) = 30:

\displaystyle \begin{aligned}  f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}

In conclusion, third degree polynomial function is:

\displaystyle f(x) = -2(x-2)(x^2+4)

5 0
3 years ago
8. Solve the system of equations using substitution.
Elodia [21]

Answer:

D

Step-by-step explanation:

In order to solve this we need to plug in the answer choices and make sure they work for BOTH answers!

Let us start with option A. (6,3)  3 = 4(6) + 6     = 3 = 30 This is automaticly wrong because 3 doesnt equal 30. There is no need to try it on the second equation since the first one was wrong.

Next answer choice, B  (3,6)  6 = 2(3) =   6=6. The second equation works perfect for this. Now we have to make sure that it works for the first one as well. 6 = 4(3) + 6   = 6 = 18 which is wrong.

Next, C.  (1,2)   2 = 2(1) = 2=2 Right now lets check the other equation.

2 = 4(1) + 6 = 2=10. Wrong

Last, D. (-3, -6)    -6 = 2(-3)  = -6 = -6 Right now lets check the other equation.

-6 = 4(-3) + 6 = -6 = -6. CORRECT. Answer choice D works for both equations.

Sorry for the wait of response.

8 0
3 years ago
Lauren is reading a novel for English class. The data below shows the number of pages reads, y, in x hours.
strojnjashka [21]

Answer:

Choice B is correct

Step-by-step explanation:

The variable x represents the number of hours;

2, 4, 5, 7, 9

The least value is 2 while the maximum value is 9. The scale to be used must accommodate all these values. The scale can thus begin from 0 to 10. Choice A is incorrect since the values 7 and 9 will not be accommodated in the graph.

The y variable represents the number of pages read;

50, 100, 125, 175, 225

The least value is 50 while the maximum value is 225. The scale to be used must accommodate all these values. The scale can thus begin from 0 to 250. Both choices C and D are incorrect since none of the values will be accommodated in the graph.

7 0
3 years ago
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A pair of jeans is on sale for 20% off. The sale price is $55.00. What is the original amount of the pair of jeans?
konstantin123 [22]

Answer: 275$

I'm not entirely sure I did this right! But at least try!!!

Step-by-step explanation:

20/100 = 55/x (cross multiply)

20x = 5,500 (divide)

X = 275

5 0
2 years ago
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