Answer:
a = - 1
Step-by-step explanation:
given a quadratic in standard form : y = ax² + bx + c : a ≠ 0
Then the x-coordinate of the vertex is
• = -
The line of symmetry passes through the parabola, hence x-coordinate is 4
y = ax² + 8x - 3 is in standard form
with a = a, b = 8 and c = - 3, hence
- = 4 ( multiply both sides by 2a
- 8 = 8a ( divide both sides by 8 )
a = - 1
Answer: 70.909090909091%
Step-by-step explanation: Reading through the problem we have <em>78 is</em>, that's 78 equals, <em>what percent</em>, x/100, <em>of 110</em>, times 110.
It's important to understand that <em>percent</em> means over 100 so what percent would simply mean <em>x/100</em> or any variable but I will be using x.
So we have the equation
So cross canceling the 110 and 100 to 11 and 10, we have
Multiply both sides by 10 to get rid
of the fraction and we have 780 = 11x.
Now divide both sides by 11 and 70.909090909091 = x.
So, 78 is 70.909090909091% of 110.
Work is attached in the image provided.
Answer:
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