Answer:
If you meant average as in mean, then it would be 2000.
Step-by-step explanation:
1000=1000
2300=2000
2600=3000
You add them all up and you get 6000. Then you would divide by 3. In the end , you should get 2000.
1000+2000+3000=6000
------------------------------------- = 2000
3
Answer:
x = 19/3
Step-by-step explanation:
Solve for x:
30 x = 12 x + 22 + 23 (1 + 3)
Hint: | Evaluate 1 + 3.
1 + 3 = 4:
30 x = 12 x + 22 + 4 23
Hint: | Multiply 23 and 4 together.
23×4 = 92:
30 x = 12 x + 22 + 92
Hint: | Group like terms in 12 x + 22 + 92.
Grouping like terms, 12 x + 22 + 92 = 12 x + (92 + 22):
30 x = 12 x + (92 + 22)
Hint: | Evaluate 92 + 22.
92 + 22 = 114:
30 x = 12 x + 114
Hint: | Move terms with x to the left hand side.
Subtract 12 x from both sides:
30 x - 12 x = (12 x - 12 x) + 114
Hint: | Combine like terms in 30 x - 12 x.
30 x - 12 x = 18 x:
18 x = (12 x - 12 x) + 114
Hint: | Look for the difference of two identical terms.
12 x - 12 x = 0:
18 x = 114
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 18 x = 114 by 18:
(18 x)/18 = 114/18
Hint: | Any nonzero number divided by itself is one.
18/18 = 1:
x = 114/18
Hint: | Reduce 114/18 to lowest terms. Start by finding the GCD of 114 and 18.
The gcd of 114 and 18 is 6, so 114/18 = (6×19)/(6×3) = 6/6×19/3 = 19/3:
Answer: x = 19/3
Answer:
C) vertex: (-2, -4);
axis of symmetry: x = - 2
Step-by-step explanation:
One of the many ways to finding the vertex of a parabolic equation is to use the formula: for the x-coordinate of the vertex, and for the y-coordinate of the vertex.
However, since this equation is in vertex form, the simplest way to find the vertex would be by applying your knowledge of the vertex form of the parabola.
In this equation, we have the vertex form of a parabola: , where are the vertex coordinates.
In :
You may be wondering why h = -2 and not +2. This is because since the original vertex form is (x - h), this equation is basically subtracting a negative 2 to create a positive 2.
Now that we have the h and k values, we know the vertex:
The axis of symmetry is the vertical line that cuts right through the center point of the parabola, aka the vertex. Therefore, the axis of symmetry would be found by:
For this particular equation, h = -2, so the axis of symmetry would be:
This answer corresponds with <u>Answer Choice C.</u>
5x + 3y= 8.50
3x + 2y= 5.25
Lydia is the first equation. She bought 5 pounds of apples which is x and bought 3 pounds of bananas which is y. Basically, remember each banana and apple weighs a price per pound. We don't know the price so we just put an x. This is the same for the second equation