Answer:
(d) The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Step-by-step explanation:
We assume you intend ...
f(x) = equation of a parabola
g(x) = 2/3·f(x)
Multiplying a function by a factor of 2/3 will cause it to be compressed vertically to 2/3 of its original height. When the function is a parabola, this has the effect of making it appear wider than before the compression.
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The compression factor is positive, so points on the graph remain on the same side of the x-axis. The direction in which the graph opens is not changed.
The attachment shows parabolas that open upward and downward, along with the transformed version.
Answer:
G
Step-by-step explanation:
Try to understand what this equation is saying and what plugging in different values would represent.
At x=0, b(0)=850; which means the initial balance is $850. So H is incorrect.
At x=1, b(1)=871.25; which means that after 1 year, the initial balance will have increase to $871.25. So J is incorrect.
Since the initial vacation of 850 is being multiplied by a factor which is greater than one, the balance will be increased each year. So F is incorrect.
Finally, if we look at the factor by which we are multiplying, do a simple Algebraic step, and convert it into percentages we get:
1.025 = (1 + 0.025) = 100% + 2.5%
Essentially this is showing us that the balance will increase by 2.5% on however much is in the account each year.
So G is your answer.
Answer:
y=-6x-14
Step-by-step explanation:
1. y=mx+b
2. y=-6x+b
3. plug in the point to y and x
4. -8=-6(-1)+b
5. -8= 6+b
6. -8-6=b
7. -14=b
8. Equation = y=-6x-14
Step-by-step explanation:
4(3x-1)=9-x
12x-4=9-x
12x+x=9+4
13x=13
x=13/13
x=1
Answer:
120
Step-by-step explanation:
