Answer:
So a bag of chip costs $2.39
Step-by-step explanation:
Let x = cost of a bag of chip
Let y = cost of a box of pretzel
Micheal buys two bags of chips and three boxes of pretzels for $5.13
This means
2x + 3y = 5.13 - - - - - - - - - -1
He then buys another bag of chips and 2 boxes of pretzels for $3.09
This means
x + 2y = 3.09 - - - - - - - - - - - -2
Solving equation 1 and equation 2 simultaneously and using the elimination method,
Multiply equation 1 by 1 and equation 2 by 2
2x + 3y = 5.13
2x + 6y = 6.18
Subtracting,
-3y = -1.05
y = -1.05/-3= $0.35
Put y= 0.35 in equation, x + 2y = 3.09
x + 2(0.35)= 3.09
x + 0.7= 3.09
x = 3.09-0.7 = $ 2.39
So a bag of chip costs $2.39
780 (or c)
I think this is correct because 4 x 5 = 20 x 5 = 100 and 100 x 5 = 500
500 + 280 = ????
780
Answer:
Statements 3, 4 and 5 are true.
Step-by-step explanation:
x^2 - 8x + 4
Using the quadratic formula:
x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2
= (8 +/- √(64 - 16)) / 2
= 4 +/- √48 / 2
= 4 +/- 4√3/2
= 4 +/- 2√3.
So the third statement is true.
Converting to vertex form:
x^2 - 8x + 4
= (x - 4)^2 - 16 + 4
= (x - 4)^2 -12
So the extreme value is at (4, -12)
So the fourth statement is true.
The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.
First step of a synthetic divison is that we need to carry down the leading coefficient. Here the leading coefficient is 2. So, carry down 2 at the bottom.
Next step is to multiply the divisor -3 with this carry down number 2. So, we have got 3*(-2)= -6 which will place atthe bottom of the next coefficient 4.
Next step is to add this column.
Now repeat the same method again till the last colum.
At the end we have got 0 after the addition. Which means the remainder is 0.
So, the quotient is 2x^2-2x+2.
Answer: The correct answers are $45.15, $247.25 and $129
Step-by-step explanation:
In order to solve the problems you need to multiply each percentage by his gross monthly pay.
$2,150 x .021 = $45.15
$2,150 x .115 = $247.25
$2,150 x .06 = $129
