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nadya68 [22]
3 years ago
11

1/4 (x + 12) = 5? Simplify (distribute) and rewrite your expression Solve for X

Mathematics
2 answers:
ladessa [460]3 years ago
5 0

Answer: x = 8

Step-by-step explanation: 1/4(x+12)=5 is the same as 1/4x + 3 = 5. 1/4 of 8 is 2. 2+3=5.

krek1111 [17]3 years ago
4 0
Simplified Answer: X = 8

Have a good day :)
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Enter the absolute value of the number as a mixed number in simplest form.<br><br><br> −6 7/19
Aneli [31]
 This is the answer because absolute value is the opposite of the number. 6 -7/19

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3 years ago
Over a period of five days, the average time of a commuter train trip from one town to the city was 77 minutes. One trip was 71
OverLord2011 [107]
Average time of a commuter train trip from one town to the city = 77 minutes
Time taken by 1 trip = 71 minutes
Time taken by another trip = 74 minutes
Time taken by 3rd and 4th trip each = 78 minutes
Let us assume the time taken during the 5th trip = x
Then
(71 + 74 + 78 +78 +x)/5 = 77
301 + x = 77 * 5
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x = 385 - 301
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So the length of the fifth trip was 84 minutes. I hope the procedure is clear enough for you to understand.
4 0
3 years ago
Read 2 more answers
Find all zeros of f(x)=x^4-3x^3+6x^2+2x-60 given that 1+3i is a zero of f(x) ​
Triss [41]

Answer:

The roots of f(x) are: -2, 3, (1+3i) and (1-3i)

Step-by-step explanation:

We are given an expression:

f(x)=x^4-3x^3+6x^2+2x-60

(1+3i) is a root of f(x)

We have to find the remaining roots of f(x).

Since, (1+3i) is a root of f(x),

x-(1+3i)

is a factor of given expression.

Now, we check if (1 - 3i) is a root of given function.

f(x)=x^4-3x^3+6x^2+2x-60\\f(1-3i)=(1-3i)^4-3(1-3i)^3+6(1-3i)^2+2(1-3i)-60\\= (28+96i)-3(-26+18i)+6(-8-6i)+2(1-3i)-60 = 0

Thus, (1-3i) is also a root of given function.

Since, (1-3i) is a root of f(x),

x-(1-3i)

is a factor of given expression.

Thus, we can write:

(x-(1+3i))(x-(1-3i))\text{ is a factor of f(x)}\\x^2-x(1-3i)+x(1+3i)+(1-3i)(1+3i)\text{ is a factor of f(x)}\\x^2-2x+10\text{ is a factor of f(x)}

Dividing f(x) by above expression:

\displaystyle\frac{x^4-3x^3+6x^2+2x-60}{x^2-2x+10} = x^2-x-6

To find the root, we equate it to zero:

x^2-x-6 = 0\\x^2 - 3x+2x-6=0\\x(x-3)+2(x-3)=0\\(x+2)(x-3) = 0\\x = -2, x = 3

Thus, the roots of f(x) are: -2, 3, (1+3i) and (1-3i)

4 0
4 years ago
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how man
Lady bird [3.3K]

Answer:

77

Step-by-step explanation:

13 x 77 = 1001 which is 1 more than enough, so the answer would be 77.

5 0
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Please help me. right answer will get brainliest
Harman [31]

Answer:

I attached the answers :)

Step-by-step explanation:

hope this helps :)

(Its a bit messy becuz i used a mouse to write, sry about that)

8 0
3 years ago
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