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MAXImum [283]
2 years ago
13

What is the equation of a line that has a slope of -1/2 and contains the point (8,1)?

Mathematics
1 answer:
Troyanec [42]2 years ago
3 0

(\stackrel{x_1}{8}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{8}) \\\\\\ y-1=-\cfrac{1}{2}x+4\implies y=-\cfrac{1}{2}x+5

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Which exponential function is represented by the
Leno4ka [110]

Answer:

C, f(x) = 3(2)^x

Step-by-step explanation:

Since the y-intercept is 3, the function will have 3 multiplying by some number to the power of x.

As x increases by 1, we notice that y multiplies by 2 every time.

This leads us to believe that the equation is 3 * 2^x

8 0
3 years ago
A bottle contains 2 green gum balls, 2 red gum balls, and 1 blue gum ball.
aliya0001 [1]

Answer:

3/5

Step-by-step explanation:

First add all of the balls together to know the total.

2 + 2 + 1 = 5

Probability of Green: 2/5

Probability of Red: 2/5

Probability of Blue: 1/5

Add red and blue together

2/5 + 1/5 = 3/5

3/5

Brainliest would be appreciated. :)

5 0
3 years ago
Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? (Find the 8% tax then add it
dmitriy555 [2]

Answer:

Step-by-step explanation:

Tax

Meal plus tax = 25.3 + 8/100 * 25.3

Meal plus tax = 25.3 + 2.024             Round later. Find the total.

Meal plus tax = 27.324

Meal plus tax = 27.32 rounded to the nearest cent.

Tip

Total cost = 27.324 + 27.324 * 18 /100

Total cost = 4.91832 + 27.324

Total cost = 32.242

Rounded to nearest cent = 32.24     You should always round at the last step.

3 0
3 years ago
Which statement correctly describes the expression (-60)(-5)?
Elina [12.6K]
It would be b. If two numbers are negative and your multiplying them, it would be positive!
8 0
3 years ago
Read 2 more answers
Last year, Ali opened an investment account with $6200. At the end of the year, the amount in the account had increased by 6.5%.
Semmy [17]

Answer: it increased by $403. He ended with $6603

Step-by-step explanation: since he started off with $6200, you would move the decimal over two places (.065) and then multiply 6200 and .065 to get $403.

5 0
3 years ago
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