Answer:
x = -2/3, 1/3
Step-by-step explanation:
Step 1: Factor
(3x + 2)(3x - 1) = 0
Step 2: Find roots
3x + 2 = 0
3x = -2
x = -2/3
3x - 1 = 0
3x = 1
x = 1/3
Answer:
Step-by-step explanation:
factor ; (3x-1)(3x+2)=0
then make both 3x-1 and 3x+2 equal to 0
(3x-1)=0 solve 3x+2=0
+ 1 +1 -2 -2
_______ _______
3x = 1 3x = -2
x =1/3 x= -2/3
check for to make sure both solutions work by plugging back into the equation
To generate a point, you plug in a number for x to get the corresponding y value.
If x = 0 for instance, then the y value is...
y = x^2 - 4
y = 0^2 - 4 ... x is replaced with 0
y = 0 - 4
y = -4
So x = 0 and y = -4 pair up to get the point (0,-4). This is the y intercept as the parabola crosses the y axis here. It turns out that this is also the vertex point as it is the lowest point on the parabola.
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If x = 1, then,
y = x^2 - 4
y = 1^2 - 4
y = 1 - 4
y = -3
meaning (x,y) = (1,-3) is another point on this line.
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Repeat for x = 2
y = x^2 - 4
y = 2^2 - 4
y = 4-4
y = 0
Since we got a y output of 0, we have found an x intercept located at (2,0). The other x intercept is (-2,0).
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The idea is to generate as many points as possible. Plot all of the points on the same xy coordinate grid. Then draw a curve through those points the best you can. You should get what you see in the diagram below. I used GeoGebra to make the graph. Desmos is another handy tool I recommend.
Note: the more points you generate, the more accurate the graph will be
Translating the phrases into algebraic equation, peter's number would be: 29.
Let the unknown value be variable x, then translate the phrases given into algebraic expressions and solve for the unknown variable.
Let Peters number be x
-6(x - 14) = -90
Solve for x
-6x + 84 = -90
-6x = -90 - 84
-6x = -174
x = 29
Therefore, translating the phrases into algebraic equation, peter's number would be: 29.
Learn more about algebraic equation on:
Answer:
29
Step-by-step explanation:
i think this is helpful