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amm1812
3 years ago
9

Which is the equation in slope-intercept form for the line that passes through (3, 7)

Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer:

y =  -  \frac{5}{3} x + 12

Step-by-step explanation:

First, rewrite the given equation in the form of y=mx+c.

m is the gradient while c is the y-intercept.

3x-5y=8

5y= 3x -8

y =  \frac{3}{5} x -  \frac{8}{5}

Thus, the gradient of the given equation is ⅗.

The product of the gradients of perpendicular lines is -1.

(gradient of line)(⅗) = -1

gradient of line= -1 ÷⅗

gradient of line= -  \frac{5}{3}

y =  -  \frac{5}{3} x + c

To find the value of c, substitute a coordinate.

When x=3, y=7,

7 =  -  \frac{5}{3} (3) + c

7= -5 +c

c= 7+5

c= 12

Hence, the equation of the line is y =  -  \frac{5}{3} x + 12.

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Just replace X with the given value.

X = -3

f(-3) = 5 -  (-3)

f(-3) = 5 +3

f(-3) = 8

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3 years ago
Where do I find my work I did with a tutor?
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2 years ago
8. On Monday, 301 students went on a trip to the zoo. All 7 buses were filled and 7 students had to travel in
tankabanditka [31]

Answer:

42 Kids

Step-by-step explanation:

1st you have to subtract 7 form 301 so you get 294

2nd you divide 294 by 7 294/7

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3 years ago
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PLEASE HELP!!!!! WORTH 40 POINTS
ivann1987 [24]

Answer:

B : 3/2

Step-by-step explanation:

7 0
2 years ago
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A bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hours and 1,966,080 after 12 h
attashe74 [19]

From the calculation, the growth rate is 0.88.

<h3>What is the growth rate?</h3>

To find the relative growth rate

P1 = Poe^rt

P2 = Poe^rt

Thus;

1920 = Poe^4r ------ (1)

1966080 =Poe^12r -------(2)

P2/P1 gives;

1966080/1920 = Poe^12r/Poe^4r

1024 = e^12r/e^4r

1024 =e^8r

1024 = (e^r)^8

2^10 = (e^r)^8

e^r = 2^1.25

e^r = 2.38

r = ln(2.38)

r = 0.88

The initial size of the culture is;

1920 = Poe^(0.88 * 4)

Po = 1920/e^(0.88 * 4)

Po = 57

The  expression for the exact number of bacteria after t hours is

P(t) = 57e^0.08t

The growth (in bacteria per hour) after 9.5 hours is

P(t) = 57e^(0.88 * 9.5)

P(t) = 243544

For the number to reach 72,000;

72,000 =  57e^0.88t

72,000/57 = e^0.88t

ln 126 = ln[e^0.88t]

4.8 = 0.88t

t = 4.8/0.88

t = 5.5 hours

Learn more about exponential growth;brainly.com/question/13674608

#SPJ1

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