Answer:

Step-by-step explanation:
Vertex form of a quadratic equation;

Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

Now substitute in the given point; ( -1, 9) and solve for a;

Hence the equation in vertex form is;

In standard form it is;

Answer: 54.6
Step-by-step explanation: 42 x 30% = 12.6 ( tax ) then 12.6 + 42 = 54.6
Answer: Mode
<u>Step-by-step explanation:</u>
The given data set is: 10, 10, 12, 13, 15
Mean is the average - find the sum of the data set and divide by the number of terms in the set: 
Mean = 12
Median is the middle term (when the data set is ordered from least to greatest).
Median = 12
Mode is the term that appears the most.
Mode = 10
Since you want to show that the prices are low, you would choose the lowest value. 10 is lower than 12, so the Mode is lower than either the Mean or the Median.
Answer:
Exact form:
x= 16/3
Decimal form:
x=5.3
Mixed form:
x= 5 1/3
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
Answer:
7m+14 is the correct answer