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Ierofanga [76]
3 years ago
5

Rearrange 3x - 6y = -2 to the form y=mx + c

Mathematics
2 answers:
wel3 years ago
5 0

3x - 6y = -2

-6y = -3x - 2, divide through by -1

6y = 3x + 2, divide through by 6

y = 3x/6 + 2/6

y = x/2 + 1/3

Troyanec [42]3 years ago
4 0

Answer:

y = 1/2x - 1/3

Step-by-step explanation:

subtract 3x from each side first to get:

-6y = -3x - 2

divide each side by -6 to get:

y = 3/6x - 2/6

simplify:

y = 1/2x + 1/3

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If f'(x) = 12x^3 - 2x^2 - 17 and f(1) = 8 , find f(x).
Cloud [144]

Answer:

f(x) =  3x⁴ - \frac{2X^{3} }{3} - 17x +  \frac{68}{3}

Step-by-step explanation:

To find f'(x), we will follow the steps below:

We will start by integrating both-side of the equation

∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx

f(x)  = 3x⁴ - \frac{2X^{3} }{3} - 17x + C

Then we go ahead and find C

f(1) = 8

so we will replace x by 1 in the above equation and solve for c

f(1)  = 3(1)⁴ - \frac{2(1)^{3} }{3} - 17(1) + C

8 = 3 - \frac{2}{3} - 17 + C

C =8 - 3 + 17 + \frac{2}{3}

C = 22 +  \frac{2}{3}

C =\frac{66 + 2}{3}

C = \frac{68}{3}

f(x) =  3x⁴ - \frac{2X^{3} }{3} - 17x +  \frac{68}{3}

7 0
4 years ago
Name the number that is
tiny-mole [99]

Answer:

y is 8 if you count towards the right side of the screen you will figure out that y is 8 followed by 9 leading you to 10, therefore x is 11.

I hope this helps

6 0
3 years ago
Please provide answer to 3-3 x 6 + 2 =
kicyunya [14]

Answer: 0

Step-by-step explanation:

3 - 3 is 0

6 + 2 is 8

0 x 8 = 0

5 0
3 years ago
Read 2 more answers
Which equation represents a population of 250 animals that decreases at an annual rate of 21% ?
victus00 [196]

Answer: Choice C.  p = 250(0.79)^t

Work Shown:

p = a*b^t

p = a*(1+r)^t

p = 250*(1+(-0.21))^t

p = 250(0.79)^t

Note that r = -0.21 is negative to indicate we have exponential decay.

3 0
3 years ago
Rationalise the denominator and simplify<br> 2√3/√12<br><br><br> Please help it’s urgent
lord [1]

The problem is,

→ (2√3)/√12

Let's simplify the problem,

→ (2√3)/√12

→ (2√3)/(√4 × √3)

→ (2√3)/(2 × √3)

→ (2√3)/(2√3) = 1

Hence, the answer is 1.

4 0
1 year ago
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