Part (i)
<h3>Answer:
x^2 + 5x + 6</h3>
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Work Shown:
(x+3)(x+2)
y(x+2) ..... Let y = x+3
y*x + y*2 ... distribute
x(y) + 2(y)
x(x+3) + 2(x+3) .... plug in y = x+3
x*x + x*3 + 2*x + 2*3 ... distribute
x^2 + 3x + 2x + 6
x^2 + 5x + 6
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Part (ii)
<h3>Answer:
4x^2 - 16x + 7</h3>
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Work Shown:
We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.
The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.
Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.
The terms in those four inner cells (gray boxes) are:
The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.
We end up with the answer 4x^2-16x+7
Answer:
y=-4/3+2
Step-by-step explanation:
Sin the slope is going up to the left we can already infer that it is going to be a negative. Still we do the equation y2-y1/x2-x1. In this case 0 is x1 and 2 is y1, 3 is x2, and -2 is y2. Once inserted into the equation you get -2-2/3-0 which equals -4/3 and the y intercept is 2 since thats the point shown were it intercepts the y-axis
Answer:
<h2>6</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>given:</h3>
<h3>let's solve:</h3>
- substitute the value of y:2²-2.2+6
- simplify exponent:4-2.2+6
- simplify multiplication;4-4+6
- simplify addition:4+2
- simplify addition:6
Let's make an equation.
19,000x=24,320
This equation shows the percentage increase, which is x. Once we have x, we need to subtract 1 from it since in the equation the 1 shows that it's increeasing. All we need to do is divide both sides by 19,000.
24,320÷19,000
1,28-1=0.28; we need to multiply by 100 to find the increase.
0.28×100=28
So, the percentage increase is 28%.
Answer:
Step-by-step explanation:
6c+31=4c+13
6c - 4c = 13 - 31
2c = -18
c = -9.