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worty [1.4K]
2 years ago
13

Find the equation of the line passing through points (-4,2) and (1,-6)

Mathematics
1 answer:
anzhelika [568]2 years ago
8 0

Answer:

y + 6 = (-8/5)(x - 1) in point-slope form

Step-by-step explanation:

Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8.  Thus, the slope of the line through these two points is m = rise / run = -8/5

Now we have two points on the line, plus the slope.  Let's write out the point-slope formula for the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

Here, using the point (1, -6), we obtain:

y + 6 = (-8/5)(x - 1) in point-slope form

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A chain of retail computer stores opened 2 stores in its first year of operation. After 8 years of operation, the chain consiste
Helen [10]

Answer:

0.66

Step-by-step explanation:

The exponential growth equation is expressed as;

S(t) = S0e^kt

S(t) is the number of stores after t years

S0 is the initial number of stores

If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;

2 = S0e^k(1)

2 = S0e^k .... 1

Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;

206 = S0e^k(1)

206 = S0e^8k .... 2

Next is to calculate the value of k

Divide equation 2 by 1;

\frac{206}{2} = \frac{S0e^{8k} }{S0e^k }\\103 =   e^{7k}\\apply \ ln \ to \ both \ sides\\ln103 = lne^{7k}\\ln103 = 7k\\k = \frac{ln103}{7}\\k = \frac{4.6347}{7} \\k =  0.6621

Hence the value of k to the nearest hundredth is 0.66

4 0
3 years ago
HELP PLEASE HELP I WILL MARK BRAINLEST 3. Elena types approximately 50 words per
maxonik [38]

Answer:

if she types 50 words per minute it would be 16 minutes for her to get to 800 words

Step-by-step explanation:

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2 years ago
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PLSSSSSSS ANSWER!!!
Dmitrij [34]
Tbh ion know the answer
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2 years ago
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AleksandrR [38]

Answer:

Step-by-step explanation:

total cost = tickets( c) +50

1400 = 4 (c) + 50

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337.50 = c

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3 years ago
What is (1/4) / (6/7)<br> Please don’t just tell me the answer, please review the steps.
lbvjy [14]

Answer:

7/24 Is The Answer!

Step-by-step explanation:

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

1/4 Divided by 6/7 = 1/4 ₓ 7/6

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

1/4 times 7/6 = 7/24

The result Is

1/4 divided by 6/7 = 7/24

6 0
3 years ago
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