Hello there!
4(3x - 11) + 23 = 5x - 14
Apply the distributive property to 4(3x - 11)
4(3x) + 4(-11)
12x - 44
We now have:
12x - 44 + 23 = 5x - 14
Combine like-terms on the left-hand side of the equation.
-44 + 23 = -21
12x - 21 = 5x - 14
Get x on one side by subtracting 5x from both sides..
12x - 5x = 7x
5x - 5x = 0
7x - 21 = -14
Add 21 to both sides to isolate 7x.
-21 + 21 = 0
-14 + 21 = 7
7x = 7
Divide both sides by 7 to solve for x.
7x / 7 = x
7 / 7 = 1
We are now left with the following solution:
x = 1
I hope this helps!
Answer:
Answer below.
Step-by-step explanation:
K'(-7,0) L'(-5,3) M'(-7,4) N'(-9,3)
Equation B is written in vertex form, which means you can read the vertex (extreme value) from the numbers in the equation.
Vertex form is
y = a(x -h)² + k
where the vertex (extreme point) is (h, k). Whether that is a maximum or a minimum depends on the sign of "a". When "a" is negative, the graph is a parabola that opens downward, so the vertex is a maximum.
Equation
B reveals its extreme value without needing to be altered.
The extreme value of this equation is a
maximum at the point
(2, 5).
Answer:
irrational
Step-by-step explanation:
3/4 + sqrt(2)
3/4 is rational
sqrt(2) is irrational
The sum of a rational and an irrational number is irrational
In order to answer the question we need the lengths to do the math.