Answer:
2x + 2
Step-by-step explanation:
6(x - 3) - 4(x - 5)
6*x - 6*3 - 4*x - 4 * -5
6x - 18 - 4x + 20
2x + 2
9514 1404 393
Answer:
Step-by-step explanation:
The thrust of the question is to make sure you understand that increasing the y-coordinate of a point will move the point upward, and decreasing it will move the point downward.
That is adding a positive value "k" to x^2 will move the point (x, x^2) to the point (x, x^2+k), which will be above the previous point by k units.
If k is subtracted, instead of added, then the point will be moved downward.
The blanks are supposed to be filled with <u> positive </u>, and <u> negative </u>.
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<em>Comment on the question</em>
The wording of the statement you're completing is a bit odd. If k is negative (-2, for example), this statement is saying the graph is translated down -2 units. It is not. It is translated down |-2| = 2 units. The direction of translation depends on the sign of k. The amount of translation depends on the magnitude of k.
If you thoroughly understand (x, y) coordinates and how they are plotted on a graph, it should be no mystery that changing the y-coordinate will change the vertical position of the graph.
Answer:
17
Step-by-step explanation:
Let d be dimes
q represent quarters
d = q + 10
10d + 25q = 345 cents
Substitute for "d" and solve for "q";
10(q+10) + 25q = 345
35q + 100 = 345
35q = 245
q = 7
Since d = q+10, d = 17
<span>Area of blanket = 25 sq ft
Pieces left over = 20
Need 1 more piece to make the blanket 5.5 ft on edge.
Since you want a square blanket, the first step is to calculate the square root of 120, which is 10.95. Since you cannot use a fractional piece of cloth, that means the final blanket will have 10 squares of cloth per edge.
What is the area of the blanket?
Since there's 10 pieces of cloth per edge and each piece of cloth is a 6 inch square, each edge is 5 feet long. So the total area is 5 * 5 = 25 square feet.
How many pieces of fabric is left over?
Since there's 10 pieces of cloth per edge, the total number of pieces used will be 10 * 10 = 100. So the number of pieces left over will be 120 - 100 = 20
How many pieces of fabric do you need to increase the size of the blanket?
Since the current size is 10x10, the next larger size is 11x11 which means a total of 121 pieces of fabric is needed. Of those 121 pieces, 100 is already being used for the blanket, so you need to add 121 - 100 = 21 pieces of fabric to the blanket. You already have 20 pieces available, so you only need to get 21 - 20 = 1 more piece to make the blanket larger.</span>
Answer:
-2, -12
-1,-3
0,0
1,-3
2,-12
Step-by-step explanation:
Used algebraic calculator
