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Black_prince [1.1K]
3 years ago
8

How to solve the equation 3x - 2y = 6 for y in terms of x

Mathematics
1 answer:
Klio2033 [76]3 years ago
6 0
3x - 2y = 6
-2y = -3x + 6
y = (-3/-2)x + 6/-2
y = 3/2x - 3
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Find an equation of a line with slope -3/4 and that passes through P(-4,6) in standard, form.
SashulF [63]

Answer:

y = -   \frac{3}{4}x  + 3

Step-by-step explanation:

the standard form of any straight line is:

y = m × x + c

where: y is the y value of the point

x is the x value of the point

m is the gradient/slope

SOLUTION

y = mx + c \\ 6 =  -  \frac{3}{4} ( - 4) + c \\ c = 3

3 0
2 years ago
Kelly buys shoes with all her money. She only has $150. One pair of shoes is $40. The other 2 pairs are for her sisters they are
irina1246 [14]

Answer:

$55

Step-by-step explanation:

its $150 - $40 = $110

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3 0
3 years ago
Read 2 more answers
general admission to the fair is 10.00. each ride costs 4.75. if lisa has 75.00 to spend at the fair, what method can be used to
Elis [28]

Answer:

well the answer is 13

Step-by-step explanation:

The way you can figure this out is subtract 10 from 75 to get 65 and then you divide 65 by 4.75 to get 13 with a huge decimal but you just have 13 because you cant go for part of a ride.

PLEASE PUT BRAINLIEST.

6 0
3 years ago
18x (14 - 9) ÷[12 - (19 - 13)] = what is the answer​
marysya [2.9K]

Answer:

15

Step-by-step explanation:

18 . ( 14 - 9 ) ÷ [ 12 - ( 19 - 13 ) ]

18 . ( 5 ) ÷ [ 12 - 6 ]

90 ÷ 6

15

5 0
3 years ago
PLS TRY TO ANSWER ASAP.
Harrizon [31]

Answer:

  • <u>0.075 m/min</u>

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

<u>1. Write the equation for the volume of the cone:</u>

      V=\dfrac{1}{3}\pi r^2h

<u />

<u>2. Find the relation between the radius and the height:</u>

  • r = diameter/2 = 5m/2 = 2.5m
  • h = 5.2m
  • h/r =5.2 / 2.5 = 2.08

<u>3. Filling the tank:</u>

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

  • x/y=r/h
  • y = x . h / r

The volume of water inside the cone is:

        V=\dfrac{1}{3}\pi x^2y

        V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3

<u>4. Find the derivative of the volume of water with respect to time:</u>

            \dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}

<u>5. Find x² when the volume of water is 8π m³:</u>

       V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\  11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062m²

<u>6. Solve for dx/dt:</u>

      1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}

      \dfrac{dx}{dt}=0.03596m/min

<u />

<u>7. Find dh/dt:</u>

From y/x = h/r = 2.08:

        y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0
3 years ago
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