Answer:
g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Answer:
(1/2)s = 345
s = 690 (Maggie's savings balance)
Step-by-step explanation:
For any problem, word problem or otherwise, you start be reading and understanding the problem. You should specifically look for
- what you're being asked to find (what is the question to answer)
- the information you're given that is relevant to the question asked.
Here, you're asked to find a savings account balance. You're told that $345 is half that amount.
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After you decide what you're looking for and the given relevant information, you use the problem statement and your personal knowledge to write one or more equations relating what you know to what you want to find.
A first step for doing this is to define any necessary variables. In this problem, we can use "s" for the original savings balance (in dollars). (I like to choose letters that remind me what they stand for. "x" or "y" can sometimes get mixed up. For a one-variable problem, it doesn't really matter what you call it. It is helpful to be clear about the units of measure of any variables. Confusion there can also lead to errors.)
The problem statement tells us that half the savings account amount is $345, so our equation is ...
(1/2)s = 345
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The "one step" required to solve this so to multiply both sides of the equation by 2.
s = 690
Maggie had $690 in her savings account before she bought the computer.
Answer:
Step-by-step explanation:
The ratio of the linear dimensions (perimeter) is the square root of the ratio of area dimensions, so the larger : smaller ratio is ...
√(72/50) = √1.44 = 1.2
The sum of ratio units is 1.2 + 1 = 2.2, so each ratio unit stands for ...
(226 dm)/2.2 = 102 8/11 dm . . . . . the perimeter of the smaller triangle
Then the perimeter of the larger triangle is ...
1.2 × 102 8/11 dm = 123 3/11 dm . . . . the perimeter of the larger triangle
Answer: B) 6
Explanation:
Segment BA is half as long as ZY, since BA is a midsegment.
This means ZY is twice as long as BA
ZY = 2*BA
2*BA = ZY
2*(x-1) = 10
2x-2 = 10
2x = 10+2
2x = 12
x = 12/2
x = 6
Note how this leads to BA = x-1 = 6-1 = 5, which is half as long as ZY = 10.
Answer:
16 square units.
Step-by-step explanation:
We know that any diagonal of a rhombus divides the rhombus into two equal parts having the same area.
Now. the area of Δ ABC can be calculated from the coordinates of its three vertices.
Here, A(-1,4), B(3,2) and C(-1,0) are given.
Hence, the area of Δ ABC will be
square units.
Therefore, area of the rhombus will be (8 × 2) = 16 square units. (Answer)
Note: If the three vertices of a triangle ABC are given to be (x1,y1), (x2,y2), and (x3,y3), then area of the triangle will br given by
.
