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expeople1 [14]
2 years ago
5

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y − 4 = (x − 8). What

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
8 0

<em></em>\large\boxed{y=\frac{1}{4}x+2}

<em></em>

<em>The point-slope form is actually </em>y-4=\frac{1}{4}(x-8)<em>; I assume there was a copy/paste issue.</em>

<em>Also, the correct answer is not in the answer choices given; again assuming a copy/paste issue.</em>

<em></em>

Start by distributing the \frac{1}{4} to x and -8.

y-4=\dfrac{1}{4}x-2

Add 4 to both sides of the equation.

\begin{aligned}y-4+4&=\frac{1}{4}x-2+4\\y&=\frac{1}{4}x+2\end{aligned}

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4 > y <  - 1

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a motel clerk counts his $1 and $10 bills at the end of the day. he finds that he has a total of 56 bills having a combined mone
alina1380 [7]
We can write a system of equations:

1x + 10y = 182
x + y = 56

Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.

To find this we can solve using substitution.

Re-arrange the 2nd equation:

x + y = 56

Subtract 'y' to both sides:

x = -y + 56

Now we can plug in '-y + 56' for 'x' in the first equation.

1x + 10y = 182

1(-y + 56) + 10y = 182

-y + 56 + 10y = 182

Subtract 56 to both sides:

-y + 10y = 126

Combine like terms:

9y = 126

Divide 9 to both sides:

y = 14

Now we can plug this into any of the two equations to find the 'x' value.

x + y = 56

x + 14 = 56

Subtract 14 to both sides:

x = 42

So our final answer is (42, 14).

This means that the motel clerk had 42 $1 bills, and 14 $10 bills.
7 0
3 years ago
The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a tab
Viefleur [7K]

Answer:

Input - Output

2 - $290

12 - $690

24 - $1170

Step-by-step explanation:

Cost after n months:

The cost after n months is given by the following function:

C(n) = 40n + 210

After 2 months:

This is C(2). So

C(2) = 40(2) + 210 = 80 + 210 = 290

After 12 months:

This is C(12). So

C(12) = 40(12) + 210 = 480 + 210 = 690

After 24 months:

This is C(24). So

C(24) = 40(24) + 210 = 960 + 210 = 1170

Table:

Input - Output

2 - $290

12 - $690

24 - $1170

6 0
3 years ago
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