Answer:
Step-by-step explanation:
First one is 200 dollars for insurance which will be the constant and 15 dollars an hour which means the equation will be;
C = 15h +200 (Sinking Rivers)
Second one is $30 an hour and $110 for insurance which is the constant so he equation is;
C = 30h + 110 (Floating Down The Stream)
Step-by-step explanation:
![i) \: \frac{3}{5} \times ( \frac{ - 7}{8} ) = - \frac{21}{40} \\ \\ ii) \: \frac{ - 9}{2} \times \frac{5}{4} = - \frac{45}{8} \\ \\ iii) \: \frac{ - 6}{11} \times \frac{5}{3} = - \frac{10}{11} \\ \\ iv) \: \frac{ - 2}{3} \times \frac{6}{7} = - \frac{4}{7} \\](https://tex.z-dn.net/?f=i%29%20%5C%3A%20%20%5Cfrac%7B3%7D%7B5%7D%20%20%5Ctimes%20%28%20%20%20%5Cfrac%7B%20-%207%7D%7B8%7D%20%29%20%3D%20%20-%20%20%5Cfrac%7B21%7D%7B40%7D%20%20%5C%5C%20%20%5C%5C%20ii%29%20%5C%3A%20%20%5Cfrac%7B%20-%209%7D%7B2%7D%20%20%5Ctimes%20%20%5Cfrac%7B5%7D%7B4%7D%20%20%3D%20%20%20-%20%5Cfrac%7B45%7D%7B8%7D%20%20%5C%5C%20%20%5C%5C%20iii%29%20%5C%3A%20%20%5Cfrac%7B%20-%206%7D%7B11%7D%20%20%5Ctimes%20%20%5Cfrac%7B5%7D%7B3%7D%20%20%3D%20%20-%20%20%5Cfrac%7B10%7D%7B11%7D%20%20%5C%5C%20%20%5C%5C%20iv%29%20%5C%3A%20%20%5Cfrac%7B%20-%202%7D%7B3%7D%20%20%20%5Ctimes%20%20%5Cfrac%7B6%7D%7B7%7D%20%20%3D%20%20-%20%20%5Cfrac%7B4%7D%7B7%7D%20%20%5C%5C%20)
Assuming that the triangles are congruent, you can just look at the parts on each triangle to find the parts on the other triangle. The answers are yes, yes, and no. The triangles are obviously not drawn to scale, so just remember to never rely on it being so.
Answer: (B)
Explanation: If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.
But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.
Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).
What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.
So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.
Answer: see below
<u>Step-by-step explanation:</u>
1) 10, 2, 1.2, 1.12, 1.112, 1.1112
![t_n=\dfrac{t_{n-1}}{10}+1](https://tex.z-dn.net/?f=t_n%3D%5Cdfrac%7Bt_%7Bn-1%7D%7D%7B10%7D%2B1)
t₁ = 10
t₂ = 10/10 + 1 = 2
t₃ = 2/10 + 1 = 1.2
t₄ = 1.2/10 + 1 = 1.12
t₅ = 1.12/10 + 1 = 1.112
t₆ = 1.112/10 + 1 = 1.1112
2) 10, 2, -2, -4, -5, -5.5, ...
![t_n=\dfrac{t_{n-1}}{2}-3](https://tex.z-dn.net/?f=t_n%3D%5Cdfrac%7Bt_%7Bn-1%7D%7D%7B2%7D-3)
t₁ = 10
t₂ = 10/2 - 3 = 2
t₃ = 2/2 - 3 = -2
t₄ = -2/2 - 3 = -4
t₅ = -4/2 - 3 = -5
t₆ = -5/2 - 3 = -5.5