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Answer:a
Step-by-step explanation:
Answer: The three consecutive odd integers are: -15, -13, and -11 .
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Explanation:
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x + (x + 2) + (x + 4) = -39 ;
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in which "x" is one of the integers,
"(x + 2)" is the next consecutive odd integer;
"(x + 4)" is the third consecutive odd integer.
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By solving for "x", we can solve for each of three (3) consecutive odd integers.
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x + (x + 2) + (x + 4) = -39 ;
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1x + 1x + 2 + 1x+ 4 = -39 ;
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3x + 6 = -39 ;
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Subtract "6" from EACH side of the equation:
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3x + 6 − 6 = -39 <span>− 6 ;
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to get: 3x = -45 ;
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Divide EACH side of the equation by "3" ;
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3x / 3 = -45 / 3 ;
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to get: x = -15 ;
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x + 2 = -15 + 2 = -13 ;
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x + 4 = -15 + 4 = -11 .
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Are: -15, -13, and -11 ; Consecutive odd integers? YES!
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Does: -15 + (-13) + (-11) =? = -39 ??
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-15 </span>− 13 <span>− 11 = ? 39 ?? YES!
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Answer: The three consecutive odd integers are: -15, -13, and -11.
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Answer:
The value of Mode is 2.43
Step-by-step explanation:
- To find the mode of the given data first we have to arrange it in a increasing order then find out mean and median of the given data
- 0.7,1.7,3,3.2,4.1,5.9,6.6,8.9 is in increasing order
- For finding the median we need to take the average of 4th and 5th terms because we have the no of terms in the sequence is even not odd so we need to take the average the 4th term=3.2 and the 5th term =4.1
- so average =(3.2+4.1)/2=3.65
- so the median is equal to 3.65
- For mean we have to take the average of the data
- so mean= sum of all data /no of data
- mean =(0.7+1.7+3+3.2+4.1+5.9+6.6+8.9)/8=4.26
- so by using the formula we can get mode
- <em>Mode=3×Median-2×Mean</em>
- Mode=3×3.65-2×4.26=2.43
- ∴The value of Mode is given as 2.43
Answer:
1. f(x) = 3x + 7
2. 
3. f(x) = x + 5
4. f(x) = -2x - 5
5. 
Step-by-step explanation:
Rearrange all the equations to make y the subject,
then substitute f(x) for y:
1. y - 3x = 7
Add 3x to both sides:
⇒ y = 3x + 7
⇒ f(x) = 3x + 7
2. 2x + 4y = 8
Subtract 2x from both sides:
⇒ 4y = -2x + 8
Divide both sides by 4:
⇒ 
⇒
3. -x + y = 5
Add x to both sides:
⇒ y = x + 5
⇒ f(x) = x + 5
4. y + 5 = -2x
Subtract 5 from both sides:
⇒ y = -2x - 5
⇒ f(x) = -2x - 5
5. 3x + 2y - 4 = 0
Subtract 3x from both sides:
⇒ 2y - 4 = -3x
Add 4 to both sides:
⇒ 2y = -3x + 4
Divide both sides by 2;
⇒ 
⇒
