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
The function is always positive.
(0,5) is the y-intercept, since the graphed line never crosses the x axis, there is no x-intercept.
The function is positive and greater than 4 for all values of x
Not sure what the actual choices are on a couple of the questions. The choices would help answering.
Given parameters:
Weight of Tan = 146pounds
Unknown:
Weight of Minh = ?
Following this problem step wisely, we can derive a solvable algebraic equation;
Let the weight of Minh = M
In the second sentence, we see that Minh weighs 15pounds more than Tan;
So;
M = 15 + Weight of Tan
Since we already know the weight of Tan,
Weight of Minh = 15 + 146 = 161pounds
We clearly see that Minh's weight will be 161 pounds.
Answer:
9
Step-by-step explanation:
3*3=9
ABC and 123
A1 B1 C1 A2 B2 C2 A3 B3 C3
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or
In this problem we have
y=18 when x=2
Find the value of the constant of proportionality k
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therefore
The equation is equal to