Answer:
y = -5
Step-by-step explanation:
To solve for a variable, take the following steps:
- Distribute by multiplying into each term in the parenthesis
- Combine like terms
- Move terms across the equal sign using inverse operations
2 - 4 (y + 4) = 2y + 16 Distribute
2 - 4y - 16 = 2y + 16 Combine 2-16
-14 - 4y = 2y + 16 Add 4y to both sides
-14 = 6y + 16 Subtract 16 to both sides
-30 = 6y Divide by 6
y = -5
The right answer is the very last one though the second one also contains x^3 but it's already shifted because +7
The others, by the way, are even functions :)
Answer:
See below.
Step-by-step explanation:
The first rectangle is 8 by 10. Cutting it in half once will give a rectangle 8 by 5 because 10/2 = 5. The area will be 8*5 = 40. The next will be 8 by 2.5. The area will be 8*2.5=20 and so on. Fill out the table by multiplying the side lengths to find the area.
Number of Cuts Process Area
0 8*10 80
1 8*5 40
2 8*2.5 20
3 8*1.25 10
4 8*0.75 5
5 8* 0.375 2.5
6
......
n 8*10(1/2)^n
To graph, graph as (0,80) where 0 is the number of cuts and 80 is the area. Then graph (1,40) and (2,20) etc. It will create a curve like the graph attached.
Answer:
the Larger poster is 9ft long by 6ft wide
Step-by-step explanation:
In order to find the length and width values of the large poster we first need to find the width of the smaller poster since we are already given the length. Since we are also provided with the perimeter we can add the length twice and subtract it from the perimeter which would give us the value of both width sides of the rectangle, then we simply divide by 2 to get the value of the individual width.
10ft = 3ft + 3ft + w + w
10ft = 6ft + 2w
4ft = 2w
2ft = w
Since the larger poster is 3 times as big for the length and the width we simply multiply the smaller poster's length and width by 3...
L = 3 * 3 = 9ft
W = 2 * 3 = 6ft
Finally, we can see that the Larger poster is 9ft long by 6ft wide
Answer:
3x - 4 is the expression that will represent her father's age