Answer:
so the equation is y=-2x-4
Step-by-step explanation:
sub the points in the equation to find the y-intercept
y=x(-2)+b
0=-2(-2)+b
0=4+b
0-4=b
-4=b
Answer:
A candy costs $6.75 and a bag of popcorn costs $7.25
Step-by-step explanation:
Let the cost of one 1 candy=$x
Let the cost of one bag of popcorn=$y
Now, Total Cost Per Item=Number of Item Bought X Price Per Unit Item.
If Nathaniel bought 4 candies and 10 bags of popcorn for a total of 99.50 dollars.
4x+10y=99.50
Grant bought 3 candies and 5 bags of popcorn for a total of 56.50 dollars.
3x+5y=56.50
Solving the two equations simultaneously
4x+10y=99.50 (I)
3x+5y=56.50 (II)
Multiply Equation (I) by 3 and Equation (II) by 4 to eliminate x
12x+30y=298.5
12x+20y=226
Subtracting
10y=72.5
y=$7.25
Now, from (II)
3x+5y=56.50
3x+5(7.25)=56.50
3x+36.25=56.50
3x=20.25
x=20.25/3=$6.75
Therefore a candy costs $6.75 and a bag of popcorn costs $7.25
Answer:
9.13385827
Step-by-step explanation:
Answer:
P = 10 +2x . . . . . (units are inches)
Step-by-step explanation:
It is appropriate to use the formula for the perimeter of a rectangle, filling in the given values.
P = 2(L + W) . . . . . the perimeter is twice the sum of length and width
P = 2(5 + x) . . . . . .filled in with the givens
P = 10 + 2x . . . . . simplify