Answer: If you have to solve for X the answer is x=4.2
Step-by-step explanation:
Answer:
D. empty set
Step-by-step explanation:
Each of the operations X-Y and Y-X removes elements that are common to X and Y. The resulting two sets have no elements in common, so their intersection is the empty set.
_____
X -Y = {2, 5, 6}
Y -X = {3, 7, 8}
{2, 5, 6} ∩ {3, 7, 8} = { }
Answer:
larger number=29;smaller number=18
Step-by-step explanation:
let assume the two numbers are X and Y
where X is the larger number and Y is the smaller number.
From the question the larger number is 7 less than twice the smaller number. in mathematical terms this can be denoted as;
X=2Y - 7→→→→→→ equation 1
Also it was stated in the question that the sum of the two numbers is 47 which can be denoted as;
X + Y = 47→→→→→→ equation 2
Now from equation 1, X is mathematically expressed as 2Y - 7. Having known this we substitute X as 2Y - 7 into equation 2 then we have 2Y - 7 + Y = 47.
collecting like terms we have
2Y + Y = 47 + 7
solving arithmetically we have;
3Y = 54
divide both sides by 3 we have;
Y = 18.
Now if you recall from equation 1;
X = 2Y - 7;
since we now know Y as 18 we substitute Y as 18 in equation one then we have;
X = 2(18) - 7;
X =36 - 7
X = 29.
Find the y-intercept (7 because it's in slope-intercept form). That would be (0,7). Plot that point.
Find another point. For example, plug in 1 for x. Then solve for f(x) which would be -3(1) + 7 = 4. That would be (1, 4). Plot that point.
Connect the dots and you have a line.
The domain is (-infinity, infinity) because it's an infinite line.
The range is the same because it's an infinite line.
It does not look like Suro even made an error. She took the square root of both sides to get x = 7, I don't see any problem here.