Answer:
Small gift: $2
Large gift: $7
Step-by-step explanation:
Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.
We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.
We can represent this information in an equation as:
We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:
From equation (1), we will get:
Upon substituting this value in equation (2), we will get:
Therefore, cost to wrap a large gift is $7.
Upon substituting in equation , we will get:
Therefore, cost to wrap a small gift is $2.
Answer:
Step-by-step explanation:
x - y = 34
x + y = 212
-------------------add
2x = 246
x = 246/2
x = 123 <=== 123 domestic
x + y = 212
123 + y = 212
y = 212 - 123
y = 89 <===== 89 foreign
Answer:
y= -1.5x-7 is the equation of the perpendicular line
Here's why:
when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.
62.5/100 and 0.625 are both equivalent.
Answer:
Since g(x) = f(2x), this means we substitute 2x in place of x for f(x):
g(x) = f(2x) = (2x)² = 4x²
Graphing this, the parabola is not moved from the parent graph f(x) = x², but the graph is compressed horizontally by a factor of 4.Step-by-step explanation:
