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Ksju [112]
3 years ago
12

A board 109 cm long has to be cut into two pieces so that the longer part is 10 cm more than twice as long as the shorter part.

Find the length of each part
Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0
 x = longer section
y = shorter section

x + y = 109
x = 2y + 10

so we sub in eq 2 into eq 1
2y + 10 + y = 109
3y + 10 = 109
3y = 109 - 10
3y = 99
y = 99/3
y = 33 <=== shorter section is 33 cm

x = 2y + 10
x = 2(33) + 10
x = 66 + 10
x = 76 <=== longer section is 76 cm
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Answer:

A

Step-by-step explanation:

Given

a = \frac{1}{x} - \frac{1}{y} = \frac{y-x}{xy} ← as a single fraction

Thus

\frac{1}{a} = \frac{1}{\frac{y-x}{xy} } = \frac{xy}{y-x} → A

6 0
3 years ago
Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)​
12345 [234]

Answer:

f(2) = 0 and f(6) = -4

Step-by-step explanation:

First, find f(x) when x = 2

Plug in 2 as x in the function:

f(x) = -(x - 2)​

f(2) = -(2 - 2)

f(2) = -(0)

f(2) = 0

Next, find f(x) when x = 6. Plug in 6 as x in the function:

f(x) = -(x - 2)​

f(6) = -(6 - 2)

f(6) = -(4)

f(6) = -4

So, f(2) = 0 and f(6) = -4

3 0
3 years ago
4.2: Weekend Earnings
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7 0
4 years ago
Can someone please help me.
Katena32 [7]
Given 
- f(n) values for n=1,2,3,4
- possible candidates for the function

Solution:
Method: Evaluate some of the values, for each function.  A function with ANY value not matching the given f(n) values will be rejected.

N=1, f(n)=4
f(1)=4-3(1-1)=4
f(1)=4+3^(1+1)=4+3^2=4+9=13 &ne; 4   [rejected]
f(1)=4(3^(n-1))=4(3^0)=4
f(1)=3(4^(n-1))=3(4^0)=3*1=3  [rejected]

N=2, f(n)=12
f(1)=4-3(2-1)=4-3(1)=1 &ne; 12   [rejected]
[rejected]
f(1)=4(3^(2-1)=4*3^1=4*3=12
[rejected]

Will need to check one more to be sure
N=3, f(n)=3
[rejected]
[rejected]
f(3)=4(3^(n-1))=4(3^(3-1))=4(3^2)=4*9=36   [Good]
[rejected]

Solution: f(n)=4(3^(n-1))










6 0
4 years ago
Caitlyn did 6/7 of the problems on her quiz correctly and 4 incorrectly. She did all the problems. How many problems were there?
vazorg [7]
It's simple you've been told that correct answers equals 6/7 and she did all the questions. Therefore the incorrect answers equals 1/7, which is 4. So just times 4 by 7. 4 x 7 = 28. 28 questions on the quiz.
5 0
4 years ago
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