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3 years ago

How many solutions does this system of

Mathematics

1 answer:

nalin [4]3 years ago

3 0

Answer:

Step-by-step explanation:

3x + 2y = 6

2y = -3x + 6

y = -3/2x + 3.....slope here is -3/2 and y int is 3

-4x + 6y = 15

6y = 4x + 15

y = 2/3x + 5/2.....slope here is 2/3 and y int is 5/2

different slopes, different y int means exactly ONE SOLUTION

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Express 5x²-15x+1 in the form p(x+q)²+r, where p,q,r ate constants

AysviL [449]

Answer:

$5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}$

Step-by-step explanation:

$5x^2-15x +1$

$= 5\bigg(x^2-3x +\frac{1}{5}\bigg)$

$=5\bigg[x^2-2.\frac{3}{2}x +\bigg(\frac{3}{2}\bigg)^2-\bigg(\frac{3}{2}\bigg)^2+\frac{1}{5}\bigg]$

$=5\bigg[\bigg(x-\frac{3}{2}\bigg)^2+\frac{1}{5}-\frac{9}{4}\bigg]$

$=5\bigg[\bigg(x-\frac{3}{2}\bigg)^2+\frac{4-45}{20}\bigg]$

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$=5\bigg(x-\frac{3}{2}\bigg)^2-5.\frac{41}{20}$

$=5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}$

7 0

2 years ago

Rebecca must complete 15 hours of volunteer work. She does 3 hours each day. Write a linear equation in slope-intercept form to

ValentinkaMS [17]

Answer:

y = 15 hour - 3 hours/day x days

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y-intercept = 15 - 3(0)= 15 which is the amount of volunteer hours she must complete at day 0.

0 = 15 - 3x

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x = 5 (Number of days she would have to volunteer)

Equation: y = 15- 3x

Step-by-step explanation:

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3 years ago

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umka21 [38]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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