Answer:
x = 3/2 or 0
Step-by-step explanation:
let the number be x
"4 times a number" : 4x
"4 times a number is decreased by 3" : 4x -3
"this difference is squared" : (4x -3)²
"the result is 9" : (4x -3)² = 9 (solve this equation for x)
(4x -3)² = 9 (square root of both sides)
4x-3 = ±√9
4x-3 = ±3 (add 3 to both sides)
4x = ±3 + 3
Hence
4x = 3 + 3 = 6 ====> x = 6/4=3/2
or
4x = -3 + 3 = 0 ====> x = 0
B) 3x is greater than or equal to 1
C) x - 3 is greater than or equal to 1
The final expression after combining like terms is 2r + 2.
We are given that;
The expression 8r+7−6r−5
Now,
According to the search results, combining like terms is a common technique for simplifying algebraic expressions. Like terms are terms that have the same variable and exponent.
To combine like terms, simply add or subtract their coefficients and keep the common variable part.
The coefficient is the number that appears in front of the variable.
In given expression, 8r+7−6r−5, there are two like terms: 8r and -6r.
They have the same variable r and exponent .
To combine them, we add their coefficients: 8 + (-6) = 2.
We keep the common variable part r.
So, 8r - 6r = 2r.
The other two terms, 7 and -5, are also like terms.
They are constants with no variables.
To combine them, we add their coefficients: 7 + (-5) = 2.
So, 7 - 5 = 2.
Therefore, by algebra the answer will be 2r + 2.
More about the Algebra link is given below.
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X=
The equation for the line containing the vertical right edge of the arch is x = 60.
The line representing the right edge is the line passing through the parabola on the right side at y = 20.
It is given that the left edge of the arch is the y-axis.
The parabola and the vertical base are symmetrical.
We can see that the left edge begins (0, 20). This means that the right edge would also have y = 20.
Observe the given graph. We can see that the parabola passes y = 20 again at the point (60, 20).
This means that the equation of the line representing the right edge is x = 60.
Therefore, we have found the equation for the line containing the vertical right edge of the arch to be x = 60.
Learn more about parabolas here: brainly.com/question/4148030
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Answer:
The answer is x=60.
Since the arch and its base are symmetrical, so that other side of arch should be at (x, 20). Refer to x-axis when y is equal to 20. Thus, x=60.
I just took the test and the answer is correct.
Step-by-step explanation: