Answer:
Hi! The correct answer is 7x=-3!
Step-by-step explanation:
~Write in standard form~
The equation 7x+y+3=y is a linear equation as it consists of variables to the first degree, but it's not in the standard form. Upon rearranging, the standard form will be 7x - 3 = 0.
Yes, the equation 7x+y+3=y is a linear equation because it represents a straight line when plotted on a graph. This is because it consists only of the first degree variables (that is, variables raised to the power of 1) of x and y, which define linear equations. However, it is not in the standard form. The standard form of a linear equation is usually written as Ax + By = C, where A, B, and C are constants and x and y are variables, and A and B are not both zero. Therefore, to express this equation in standard form, we need to rewrite it, resulting in the equation 7x + y - y - 3 = 0 or 7x - 3 = 0.
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b- x = −5 and x = 5
c- x = −4 and x = 4
d- x = −1 and x = 9
The compound inequalities for each number line is 18: −1≤x≤4 19: −3<x≤2 20: x<0 or (1≤x≤3) 21: (−4<x≤−6) or (−3<x≤0) 22: (3≤x<1) or (6<x<7) 23: (−3≤x≤−4) or (0<x<2).
let's break down the compound inequalities for each situation step by step:
18:
−1≤x≤4 (closed on both ends)
The notation ≤ means "less than or equal to," so
−1≤x indicates that
x can be equal to or greater than -1.
Likewise,
x≤4 means that
x can be equal to or less than 4.
Combining both inequalities, we have
−1≤x≤4, indicating that
x can take any value between -1 and 4, including -1 and 4.
19:
−3<x≤2 (open on the left end, closed on the right end)
The notation < means "less than," so −3<x indicates that
x must be greater than -3 but not equal to -3.
x≤2 means that
x can be equal to or less than 2.
Combining both inequalities, we have
−3<x≤2, indicating that x can take any value greater than -3 and up to and including 2. It's open at -3 but closed at 2.
20: x<0 or (1≤x≤3) (open on the left end, closed on the right end, with a gap between 0 and 1)
x<0 indicates that x must be less than 0.
(1≤x≤3) indicates that x can be equal to or greater than 1 and equal to or less than 3.
Combining these two inequalities with "or," we have
x<0 or
1≤x≤3, indicating that x can be less than 0 or take any value between 1 and 3, including 1 and 3.
21:
(−4<x≤−6) or
(−3<x≤0) (open on both ends with a gap between -3 and -4)
(−4<x≤−6) indicates that x must be greater than -4 but not equal to -4, and it can be equal to or less than -6.
(−3<x≤0) indicates that x must be greater than -3 but not equal to -3, and it can be equal to or less than 0.
Combining these two inequalities with "or," we have
(−4<x≤−6) or
(−3<x≤0), indicating that
x can take any value greater than -4 and up to -6, or greater than -3 and up to 0.
22:
(3≤x<1) or
(6<x<7) (closed on the left end, open on the right end, with a gap between 1 and 6)
(3≤x<1) indicates that x can be equal to or greater than 3 and less than 1.
(6<x<7) indicates that x must be greater than 6 and less than 7.
Combining these two inequalities with "or," we have
(3≤x<1) or (6<x<7), indicating that x can take any value equal to or greater than 3 and less than 1, or greater than 6 and less than 7.
23:
(−3≤x≤−4) or
(0<x<2) (closed on the left end, open on the right end, with a gap between -4 and 0)
(−3≤x≤−4) indicates that x can be equal to or greater than -3 and equal to or less than -4.
(0<x<2) indicates that
x must be greater than 0 but less than 2.
Combining these two inequalities with "or," we have
(−3≤x≤−4) or
(0<x<2), indicating that x can take any value equal to or greater than -3 and equal to or less than -4, or greater than 0 and less than 2.
These compound inequalities describe the ranges of values for x in each given situation on the number line.
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Answer:18-1 closed right 5
19-3 open right5
20 0 open left 1 3 closed right 1
21 -4 open left 2 -3 open right 3
22 3 close left 2 6 open right 1
23-3 open left 1 0 open right 2
Step-by-step explanation:
2/6=_/3?jjjjjj
Answer:
27/45=3/5
2/6=1/3
Step-by-step explanation: