The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
Answer:
A. 32 g
B. 3670 g
Step-by-step explanation:
Basket + 25 bars: 1110 g
Basket: 310 g
25 bars: 1110 g - 310 g = 800 g
1 bar: 800 g / 25 = 32 g
105 bars: 105 × 32 g = 3360 g
Basket + 105 bars: 310 g + 3360 g = 3670 g
Answer:
A. 32 g
B. 3670 g
Given:
A right angled triangle.
To find:
The value of x.
Solution:
We have,
Base = x
Hypotenuse = 
In a right angle triangle,
For the given triangle,
Multiply both sides by .
Therefore, the required value of x is 
.
Answer:
The 5 bags of pretzels.
Step-by-step explanation:
Because if you were to buy 5 individual bags you would end up paying $20.00, instead of $12.00
Answer:
given:
principal [P]=8000
rate[r]=15%
population after t years=?
we have
population after t years=P(1+r/100)^t=8000(1+15/100)^t is your answer
