Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>x-coordinate of the vertex is:</u>
<u>The axis of symmetry is the vertical line that passes through the vertex:</u>
- x = -3 is the line we need
<span><span>1.
</span>A department store has a discount on shoes based
on percentage of price.
=> one pair of shoes marked down from 70 dollars to 49 dollars
=> let’s solve for the percentage rate.
=> 70 – 49 = 21, the than ½ of the price
=> 70 x 30% = 21
Thus, the percentage rate is 30%
For the pair of shoes that is 110 dollars
=> 110 * .30 = 33
=> 110 – 33 = 77
Thus, the price of pair of shoes is now 77 dollars.</span>
Answer: 10 inches.
Step-by-step explanation:
We have to solve a system of equations.
The formula to calculate a triangle area is A = (b.h)/2
where b is the base and h is the height. This will be our first equation.
Since the height is 4 inches greater than the base, the second equation will be: h = b+4
We replace h and the value of the area (70 square inches) in the first equation, and we solve it by using the cuadratic equation formula:
70 = (b . (b+4)) / 2
70 . 2 = b² + 4b
140 = b² +4b
0 = b² + 4b - 140
The roots of this polynomial are -14 and 10. Since a distance can't be negative, the length of the base is 10 inches.
The answer is d because it is
Answer:
z = 3.3
Step-by-step explanation:
Given
2.2 = z - 1.1 ( add 1.1 to both sides )
3.3 = z
