Answer:
Step-by-step explanation:
Given equation of the quadratic function is,
y = x² + 5x - 7
Convert this equation into vertex form,
y = x² + 2(2.5x) - 7
= x² + 2(2.5x) + (2.5)² - (2.5)² - 7
= (x + 2.5)²- 6.25 - 7
= (x + 2.5)² - 13.25
Therefore, vertex of the function is → (-2.5, -13.25)
For the solutions,
y = 0
(x + 2.5)² - 13.25 = 0
x = (±√13.25) - 2.5
x = (±3.64) - 2.5
x = 1.14, -6.14
Solutions → (-6.14, 0) and (1.14, 0)
Your goal is to have x by itself
Send st to other side
rx= r+st
Divide by r so x stays alone
X=(r+st)/r
Which is also equal to
X=r/r+st/r
X= 1+st/r
Calcualate 40% (0.40) times 20 to get that there are 8 boys in the class. The rest must be girls, so 20 - 8 gives you 12 girls. 25% (0.25) times the 8 boys gives you that 2 of the boys wear glasses. 50% (0.5) times the 12 girls tives you that 6 girls wear glasses. Add together the 2 boys and the 6 girls that wear glasses to get that a total of 8 students wear glasses.
Answer:
Sara should sell each bracelet at <em>$8.50</em> to make a profit of $99.
Step-by-step explanation:
We are given the following:
Total cost = $28.50
Total bracelets to be made = 15
Total profit to be made = $99
Let 
be the price at which Sara sells each bracelet to make a profit of $99.
Also,
Equating (1) and (2):
Sara should <em>sell each bracelet at $8.50</em> to make a profit of $99.
Answer:
<em>A(x) = 6x² + 26x </em>
Step-by-step explanation:
A(x) = 4x ( x + 10 ) - 2x ( 8 ) + 
+ 
A(x) = 4x² + x² + x² + 40x - 16x + 2x
<em>A(x) = 6x² + 26x</em>
