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2 years ago

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

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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8. Lara invested a total of $1000 in two simple interest accounts. Account A pays

mixer [17]

Answer:

$200 at 5%
$800 at 6%

Step-by-step explanation:

Let x represent the amount invested at the higher rate. Then 1000-x is the amount invested at the lower rate. The total earnings are ...

0.05(1000-x) +0.06x = 58

50 +0.01x = 58 . . . . . . . . . . . simplify

0.01x = 8 . . . . . . . . . . . . . . . subtract 50

x = 800 . . . . . . . . . . . . . . . multiply by 100; amount at 6%

(1000-x) = 200 . . . . . . . find the amount invested at 5%

Lara invested $200 at 5% and $800 at 6%.

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2 years ago

The manufacturers of cans of salted moxies nuts state that the ratio of peanuts to other is 5 to 3. If 360 peanuts are in a can,

Rina8888 [55]

Answer:216

Step-by-step explanation:

We let x to represent the number of other nuts

Peanut : other

5 : 3

360 : X

Then we cross multiply

5 × x = 360 × 3

5X = 1080

Divide bothside by 5

5X/5 = 1080/5

X = 216

Therefore the number of other nuts in the can is 216.

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3 years ago

The equation 6y = 30 - 8x has solutions of (b, 1) and (a, b).<br> What are the values of a and b?

victus00 [196]

The values of $a$ and $b$ are $a = \frac{3}{2}$ and $b = 3$ , respectively.

In this question we need to solve the linear equation for each point, first for $(x,y) = (b, 1)$ and later for $(x,y) = (a, b)$ .

If we know that $(x,y) = (b, 1)$ , then the value of $b$ is:

$6 = 30-8\cdot b$

$8\cdot b = 24$

$b = 3$

If we know that $(x,y) = (a, b)$ and $b = 3$ , then the value of $a$ is:

$6\cdot b = 30 - 8\cdot a$

$18 = 30-8\cdot a$

$12 = 8\cdot a$

$a = \frac{3}{2}$

The values of $a$ and $b$ are $a = \frac{3}{2}$ and $b = 3$ , respectively.

To learn more on linear functions, we kindly invite to check this question: brainly.com/question/5101300

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2 years ago

What's the best quote your heard of?

Mars2501 [29]

Step-by-step explanation:

꧁§༺⚔A real friend is one who walks in when the rest of the world walks out.” ⚔༻§꧂

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2 years ago

Of the numbers 8, 9, or 10 which is a solution of the inequality n - 3 > 6

leva [86]

Answer:

10, because 10-3 is 7, and 7 is greater than 6.

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3 years ago

Read 2 more answers