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sleet_krkn [62]
3 years ago
7

A line with a slope of 2/5 passed through the point (-2,3). Write the equations of the line in point-slope form and graph the li

ne
Mathematics
1 answer:
DochEvi [55]3 years ago
5 0

Answer:

y - 3 = (2/5)(x + 2)

Step-by-step explanation:

Start with the general point-slope form of the equation of a straight line:

y - k = m(x - h).  Now substitute -2 for h and 3 for k, and also 2/5 for m:

y - 3 = (2/5)(x + 2)

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Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.
denpristay [2]

Answer:

f(n) = 5 + f(n - 1)

Step-by-step explanation:

Given

f(n) = 5n - 2

Required

Write a recursive expression

f(n) = 5n - 2

When n = 1

f(1) = 5 * 1 - 2 = 5 - 2 = 3

f(1) = 3

When n = 2

f(2) = 5 * 2 - 2 = 10 - 2 = 8

f(2) = 8 can be rewritten as

f(2) = 5 + 3

Substitute 3 for f(1)

f(2) = 5 + f(1)

Express 1 as 2 - 1

f(2) = 5 + f(2-1) ----- (1)

When n = 3

f(3) = 5 * 3 - 2 = 15 - 2 = 13

f(3) = 13 can be rewritten as

f(3) = 5 + 8

Substitute 8 for f(2)

f(3) = 5 + f(2)

Express 2 as 3 - 1

f(3) = 5 + f(3 - 1)  ------ (2)

Write out (1) and (2)

f(2) = 5 + f(2-1)

f(3) = 5 + f(3 - 1)

Replace 2 and 3 with n in both cases; This gives

f(n) = 5 + f(n - 1)

Hence;

The recursive is f(n) = 5 + f(n - 1)

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Answer:

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Step-by-step explanation:

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3 years ago
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Challenge: x(2)+9x+c<br><br>:-D​
kvv77 [185]

Answer:

×(2)+9×+c

2×+9×+c =

11x+c

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Answer:

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Step-by-step explanation:

7 0
3 years ago
3x-7y=17   when x=-3,0,3
NeX [460]
3x-7y=17\\-7y=17-3x\ \ \ \ |:(-7)\\y=-\frac{17}{7}+\frac{3}{7}x\\\\When\ x=-3:\\y=-\frac{17}{7}+\frac{3}{7}\cdot(-3)\\y=-\frac{17}{7}-\frac{9}{7}\\y=-\frac{26}{7}=-3\frac{5}{7}\\\\When\ x=0:\\y=-\frac{17}{7}+\frac{3}{7}\cdot0\\y=-\frac{17}{7}=-2\frac{3}{7}\\\\When\ x=3:\\y=-\frac{17}{7}+\frac{3}{7}\cdot3\\y=-\frac{17}{7}+\frac{9}{7}\\y=-\frac{8}{7}=-1\frac{1}{7}
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3 years ago
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