Answer:
0.43 liters = 430 milliliters
Step-by-step explanation:
There are 1000 milliliters in each liter so all you have to do is multiply 0.43 by 1000. :)
X= cost per pizza
y= cost per soda
1ST VISIT TO RESTAURANT
x + 2y= $15.95
2ND VISIT TO RESTAURANT
3x + 5y= $45.90
STEP 1
multiply equation from 1st visit by -3. Will be able to solve by elimination method in step 2.
-3(x + 2y)= -3(15.95)
multiply -3 by each term
(-3 * x) + (-3 * 2y)= (-3 * 15.95)
-3x - 6y= -47.85
STEP 2
add 2nd visit equation to new 1st
visit equation in step 1.
3x + 5y= 45.90
-3x - 6y= -47.85
x term will cancel out; solve for y
-y= -1.95
divide both sides by -1
y= $1.95 per soda
STEP 3
substitute y value in either original equation to solve for x
x + 2y= $15.95
x + (2 * 1.95)= 15.95
multiple in parentheses
x + 3.90= 15.95
subtract 3.90 from both sides
x= $12.05 per pizza
CHECK
3x + 5y= $45.90
3(12.05) + 5(1.95)= 45.90
36.15 + 9.75= 45.90
45.90= 45.90
ANSWER: Each pizza costs $12.05 and each soda costs $1.95.
Hope this helps! :)
Answer:
(x-2)^2
Step-by-step explanation:
The blue graph is shifted two units to the right of the "original" function x^2 (red). Let's recall the vertex form of a quadratic:
a (x-h)^2 + k
where a represents a constant that describes the opening of the parabola (up/down); h represents horizontal shift; and k represents vertical shift.
The blue graph is two units to the right (+2), there is NO vertical shift and NO change in how the parabola opens.
So, let's plug the appropriate values into vertex form:
(x-(+2))^2
= (x-2)^2
