All you have to do is substitute the values in for y to see if they are true.
0: 9 ≤ 6 - 0 = 9 ≤ 6 (FALSE)
3: 9 ≤ 6 - 3 = 9 ≤ 3 (FALSE)
-3: 9 ≤ 6 - -3 = 9 ≤ 9 (TRUE)
-1: 9 ≤ 6 - -1 = 9 ≤ 7 (FALSE)
-6: 9 ≤ 6 - -6 = 9 ≤ 12 (TRUE)
6: 9 ≤ 6 - 6 = 9 ≤ 0 (FALSE)
-4: 9 ≤ 6 - -4 = 9 ≤ 10 (TRUE)
So, the values that belong to 9 ≤ 6 - y are -3, -4, and -6.
Answer:
52 young calves
Step-by-step explanation:
At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?
The ration is given as:
adult milking cows to young calves
= 9 : 2
= 234 : x
= 9/2 = 234/x
x = Number of young calves
Cross Multiply
9 × x = 2 × 234
= x = 2 × 234/9
x = 468/9
x = 52
Hence, the number of young calves on the farm is 52.
Answer:
4
Step-by-step explanation:
Equation:
1/2x + 10 = 12
Subtract 10 from both sides:
1/2x = 2
Divide by 1/2 from both sides:
x = 4
-Chetan K
The correct answer is option D.
<h3>What is Straight Line?</h3>
A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.
When two equations have same slope and their y-intercept is also the same, they are representing the line. In this case one equation is obtained by multiplying the other equation by some constant.
If we plot the graph of such equations they will be lie on each other as they are representing the same line. So each point on that line will satisfy both the given equations so we can say that such equations have infinite number of solutions.
Consider an example:
Equation 1: 2x + y = 4
Equation 2: 4x + 2y = 8
If you observe the two equation, you will see that second equation is obtained by multiplying first equation by 2. If we write them in slope intercept form, we'll have the same result for both as shown below:
Slope intercept form of Equation 1: y = -2x + 4
Slope intercept form of Equation 2: 2y = -4x + 8 , ⇒ y = -2x + 4
Both Equations have same slope and same y-intercept. Any point which satisfy Equation 1 will also satisfy Equation 2. So we can conclude that two linear equations with same slope and same y-intercept will have an infinite number of solutions.
Thus, the correct answer is option D.
Learn more about Straight line from:
brainly.com/question/20492082
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