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2 years ago

5x - y = -3 in slope intercept form?

Mathematics

2 answers:

mixas84 [53]2 years ago

6 0

5x-y=-8 | subtract 5x from both sides.

-y = -5x - 8 | divide both sides by -1

y = 5x + 8 Done.

BartSMP [9]2 years ago

3 0

Move 5x to opposite side so -y = -5x - 3 change all negatives to positive so ur answer is y = 5x + 3

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Factorise.<br> Help would be massively appreciated:)

kenny6666 [7]

Answer:

A. 2x(x+3)

B. 2y(y-4)

C. 5p(p+2)

D. 7c(c-3)

E. 3x(2x+3)

I hope this helps

4 0

2 years ago

Use the Laplace transform to solve differential equation

Inessa [10]

Using Laplace transform we have:L(x')+7L(x) = 5L(cos(2t))sL(x)-x(0) + 7L(x) = 5s/(s^2+4)(s+7)L(x)- 4 = 5s/(s^2+4)(s+7)L(x) = (5s - 4s^2 -16)/(s^2+4)
=> L(x) = -(4s^2 - 5s +16)/(s^2+4)(s+7)
now the boring part, using partial fractions we separate 1/(s^2+4)(s+7) that is:(7-s)/[53(s^2+4)] + 1/53(s+7). So:
L(x)= (1/53)[(-28s^2+4s^3-4s^2+35s-5s^2+5s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]L(x)= (1/53)[(4s^3 -37s^2 +40s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]
denoting T:= L^(-1)and x= (4/53) T(s^3/(s^2+4)) - (37/53)T(s^2/(s^2+4)) +(40/53) T(s^2+4)-(4/53) T(s^2/s+7) +(5/53)T(s/s+7) - (16/53) T(1/s+7)

4 0

2 years ago

6 painters can paint the fence in 15 hours. How long would it take 5 workers to do the same job?

SOVA2 [1]

Answer:

12.5 hours

Step-by-step explanation:

15/6 is 2.5. 2.5 is how many hours per worker. 5 times 2.5 is 12.5 hours

8 0

2 years ago

Read 2 more answers

What is the answer for this equation-18-6k=(1+3k)

mylen [45]

-18-6k= 1+3k
9k=-19
k=-19/9
k=-2 and 1/9

8 0

2 years ago

Read 2 more answers

The length of a rectangle is nine inches more than its width. Its area is 486 square inches. Find the width and length of the re

Elan Coil [88]

Answer:

width: 18 in
length: 27 in

Step-by-step explanation:

The relations between length (L) and width (W) are ...

W +9 = L

LW = 486

Substituting gives ...

(W+9)W = 486

W^2 +9W -486 = 0 . . . put in standard form

(W +27)(W -18) = 0 . . . . factor

W = 18 . . . . the positive solution

The width of the rectangle is 18 inches; the length is 27 inches.

_____

<em>Comment on factoring</em>

There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.

486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.

3 0

2 years ago