The first thing you need to do is get this equation to y=something, here's how you'd work that for this equation.
15x-5y=30
(subtract 15x from both sides)
5y=-15x+30
(now we're going to divide everything by 5 to get y by itself)
y=-3x+6
The graph of this equation is going to be a straight line with a slope of -3 and a y-intercept of 6
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Here is a simpler way.
You do not have to rewrite the equation. Just leave it as it is: 15x - 5y = 30
Step 1A:
Cover up the y term so that the equation reads: 15x = 30
divide both sides by 15 so you get x = 2.
Step 1B:
Mark the point with coordinates x = 15, y = 0 ie (15, 0), and label it A.
Step 2A:
Cover up the x term so that the equation reads: -5y = 30
divide both sides by -5 so you get y = -6.
Step 2B:
Mark the point with coordinates x = 0, y = -6 ie (0, -6) and label it B.
Step 3:
Join AB and extend both ways.
Step 4:
Sit back and laugh at the people who rewrote the formula in the form y = something, got the slope and intercept, but don't know how that helps to graph the equation!
use product-to-sumformula sin u cos v =1/2 [sin(u+v)+ sin(u-v)]so you get1/2 int: (sin 15x) - (sin5x) dxsplit it1/2 int: sin 15x dx- 1/2 int: sin 5x dxusing substitution you can conclude that1/30 int: sin u du- 1/10 in sin w dw(you get the fraction change when you set dx=duand dw)so then- (cos u)/30 + (cos w)/10replace the substitution(cos 5x)/10 - (cos 15x)/30 + Constant
x + 30 = 64 Therefore, x = 64 - 30 x = 34
Substitute 2x - 6 for y in first equation: 12x - 5(2x - 6) = 30 ie 12x - 10x + 30 = 30 so 2x = 0 making x = 0 and y = -6
0.45
As x ∝ yz2 then x = kyz2 where k is a constant. Substituting the given figures, 40 = k*20*22 = 80k Then k = ½ and the formula is, x = ½yz2 So, x = ½ * 30 *32 = 135
Use algebra. 12x+30=15x-20. Add 20 to both sides. 12x+50=15x. Subtract 12x from both sides. 50=3x. Divide both sides by 3. 16.666...=x
It's an equation. If you want to solve it for x, you can do so as follows: x2 + 15x = 30 x2 + 15x + (15/2)2 = 30 + (15/2)2 (x + 15/2)2 = 30 + 225/2 x + 15/2 = ± √(285/2) x = (-15 ± √570) / 2
25X + 30 = 15X subtract 15X from each side 25X - 15X + 30 = 15X - 15X 10X + 30 = 0 subtract 30 from each side 10X + 30 - 30 = 0 - 30 10X = -30 divide both sides integers by 10 (10/10)X = - 30/10 X = - 3 ----------------check in original equation 25(- 3) + 30 = 15(- 3) - 75 + 30 = - 45 - 45 = - 45 ----------------checks
y = 3x 3x + 4y = 30 3x + 4(3x) = 30 3x + 12x = 30 15x = 30 x = 2 y = 3x y = 3(2) y = 6 (2, 6)
The GCF of 30 x^2 and 45x is 15x. The GCF of 30 and 45 is 15, and the GCF of x squared and x is x.
5x -6y=-30 5x-6y=30 (2x+3y) (2x-3y)=30 4x+6y=30 4x=30 x=30/4
You would put one dot on (0,-1), then another dot on (30,-6). Then you put another dot on (60,-11). JUst keep following the same pattern of adding 30 to the x coordinates and 5 to the y coordinates.
-- make a list of 20 or 30 small numbers-- one at a time, put each number in place of 'y', and figure out what 'x' is-- mark a point at the pair of numbers you have for (x, y) on the graph-- after a while, you'll start to see the graph take shape, and you can fill in the gaps between the points
To find the value that, when multiplied by 100, equals 3000, you would need to divide 3000 by 100. This calculation results in the answer of 30. Therefore, 30 times 100 equals 3000.
if you have 3*x^2 + 2 * x + 3 = 4, you can rewrite it to3*x^2 + 2 * x - 1 = 0edit:example:2x**2-15x-15=15+2x+x**2subtract away from one side2x**2-15x-15-x**2=15-2x+x**2-x**2x**2-15x-15=15-2xx**2-15x-15-15=15-2x-15x**2-15x-30=-2xx**2-15x-30+2x=-2x+2xx**2-13x-30=0Factor (long way):-mulitply first and third terms:1*-30=-30-factors of -30 that add up to second term:30=1*2*3*5-30=-1*30, 1*-30-30=-2*15, 2*-15-30=-3*10, 3*-10-30=-5*6, 5*-6-rewrite polynomial:x**2-13x-30=0x**2-15x+2x-30=0-factor sets of terms (ie first and second, third and fourth):x**2-15x+2x-30=0x(x-15)+2(x-15)=0-factor:x(x-15)+2(x-15)=0(x+2)(x-15)=0-determine roots:x+2=0x+2-2=0-2x=-2x-15=0x-15+15=0+15x=15Factor (short way):x**2-13x-30=0-because the first term is x**2 you can:1. Take third term and factor, choose factors that add up to second term:30=1*2*3*5-30=-1*30, 1*-30-30=-2*15, 2*-15-30=-3*10, 3*-10-30=-5*6, 5*-62. Place factors in (x+a)(x+b) where a and b are factors of the third term whose sum is the second term(x+2)(x-15)3. Determine roots:x+2=0x+2-2=0-2x=-2x-15=0x-15+15=0+15x=15
It would equal 1 meter because 30 centimeters equals 1 meter 60 centimeters equals 2 meters.
10+30=70-30