Answer:
- C for question 1
- A for question 2
Step-by-step explanation:
First Question
What you need to do here is pick an answer that will result in a decrease. If you have something like 1.3 * e ^ (0.038 * t), what will happen when t = 20
P = 1.3 * e^(0.038*20) = 1.3*e^0.76 = 2.77 which is getting bigger not smaller.
So what you want is something like 1.3 * e^-0.76 = 0.67
So which question is configured that way?
It's either C or D. but which one? It cannot be D. 0.38 is far too big: it does not represent 3.8%
C does represent 3.8% as a decimal. It is the correct answer.
Answer: C
Second Question
Every time she sells a ticket, the total that she gets is 4 more than what she had before.
The variation is a direct one. It is y = k*x. But what is k? Is it 4 or is it 1/4?
Read the first sentence above. She gets 4 dollars more, not 1/4 of a dollar.
C and D are both wrong because those equations think she is getting 1/4 more.
B is wrong because it says that the relationship is inverse. It is not. It is direct.
The answer is A
Answer:
Step-by-step explanation:
<ACB = <ECD
These 2 angles are vertically opposite and are equal.
<B = <D
They are both right angles are therefore equal.
The answer is the AA postulate.
A
Note
ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.
SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.
SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.
You are intended to use AA as your answer.
Answer:
C
Step-by-step explanation:
In order to write the equation, you need to identify the slope and y-intercept.
1) the y intercept is what y is when x=0. According to the table, it is -2.
2) the slope is the change in the y values over the change in the x values. Notice that the y values are increasing by one for every increase in 1 in the x values, so the slope is 1/1 or 1.
3) we can then put those values into slope-intercept form which is y=mx+b where m is the slope and b is the intercept.
4) so the equation is y=(1)x-2 or y=x-2 (they are the same)
Answer:
A
Step-by-step explanation:⁻7+
