Answer:
About 150 people.
Step-by-step explanation:
1.) 15/36 = x/360
2.) 150/360 = x/360
3.) 150/360 = 150/360
The vertex is when x=-b/2a, which is also the line of symmetry.
in this case, b=6, a=3, so x=-6/6=-1
when x=-1. y=3-6-1=-4
another way to do it is to write the equation into vertex form by making a square:
3x²+6x-1
3(x²+2x-1/3)
3(x²+2x+1-1-1/3))
3(x²+2x+1-4/3))
notice the bold part makes a square:
3(x+1)²-4
Either way,
the vertex is (-1, -4)
the axis of symmetry is x=-1
the coefficient of x² is 3, a positive number, so this parabola opens upward. the function has a minimum value of y=-4
the range is all real number larger than -4
Answer:
$48.76
Step-by-step explanation:
So, Sara bought the pair of shoes for $46 due to a discount.
Sales tax was 6% or 0.06. In other words, she had to pay 0.06(46)=2.76 for tax.
Thus, the total amount Sara paid for the shoes is $46+$2.76=$48.76
Answer:
16
Step-by-step explanation:
Given expression:
log(5x + 20) = 2
From the given expression, we are to find x;
Using the rule of logarithm, we can solve this problem;
logₐb = C
b = Cᵃ
So;
log(5x + 20) = 2
this is to base 10;
5x + 20 = 10²
5x = 100 - 20
5x = 80
x = 16
Answer:The obvious difference between substitution and elimination reactions is that substitution reactions replace one substituent with another while elimination reactions simply remove the substituent. ... The major difference between the groups is the number of steps the reaction takes place over.
Step-by-step explanation:
