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TEA [102]
3 years ago
5

Y=x-8 y=-2x+1 how do you solve the system of equation

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0
X - 8 = Y = -2x + 1
↓
X - 8 = -2x + 1
↓
3x - 8 = 1
↓
X = 3

so y = -5
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A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t
7nadin3 [17]

To solve this problem, we can use the tan function to find for the distances covered.

tan θ = o / a

Where,

θ = angle = 90° - angle of depression

o = side opposite to the angle = distance of boat from lighthouse

a = side adjacent to the angle = height of lighthouse = 200 ft

When the angle of depression is 16°18', the initial distance from the lighthouse is:

o = 200 tan (90° - 16°18')

o = 683.95 ft

When the angle of depression is 48°51', the final distance from the lighthouse is:

o = 200 tan (90° - 48°51')

o = 174.78 ft

 

Therefore the total distance the boat travelled is:

d = 683.95 ft - 174.78 ft

<span>d = 509.17 ft</span>

4 0
3 years ago
Last week, Mr. Thomas rode his bike 49 miles. This week, Mr. Thomas rode his bike 14 miles less than he did last week. Part A. M
soldi70 [24.7K]
Part A
49-14 = 35 
<span>35/7 = 5 </span>

Part B
5 miles each day

Part C
<span>49+35 = 84 </span>
<span>84+40 = 124, which is a good estimate and it is reasonable</span>
7 0
4 years ago
Let f(x) = -5e^(-x/3)<br><br> Find f^(6) (1)
Luba_88 [7]

Let's take the first derivative:

f'(x) = (-5e^{-x/3})' = -5 \times (e^{-x/3})' = -5e^{-x/3} \times \left(-\dfrac{1}{3}\right) = \dfrac{5}{3}e^{-x/3}.

Notice that we can write this as:

f'(x) = -\dfrac{f(x)}{3}.

By taking the derivative of both sides n times, we get:

f^{(n+1)}(x) = -\dfrac{f^{(n)}}{3}.

This means that each time you take a derivative, a factor of -\dfrac{1}{3} will appear. So we conclude that:

f^{(n)}(x) = \left(-\dfrac{1}{3}\right)^nf(x).

Taking n=6 and x=1, we get:

f^{(6)}(1) = \left(-\dfrac{1}{3}\right)^6 f(1) = \dfrac{-5e^{-1/3}}{729} = -\dfrac{5}{729}e^{-1/3}.

So we finally get:

\boxed{-\dfrac{5}{729}e^{-1/3}}.

6 0
3 years ago
Find the unit rate, please.<br> 7 errors in 60 minutes.
EleoNora [17]

Answer:

1 error / about 8 minutes and 30 seconds

Step-by-step explanation:

1/8.5                    Divide the fraction by 7.

By dividing both numbers of the fraction, you are finding how many errors are in the number of minutes you make them.

Exact answer: 1/8.571428 repeated

Rounded answer: 1/8.56

8 0
3 years ago
Which of the following rational functions is graphed below??
valina [46]
The correct answer is letter B!!
5 0
3 years ago
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