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2 years ago

(6)

Mathematics

1 answer:

andriy [413]2 years ago

3 0

Answer:

(b) 4x² and 3xy

Step-by-step explanation:

The terms of an expression 4x² – 3xy are:

The terms are the factors of the expression, which are 4x² and -3xy. The signal is not counted as a term. So the correct answer is given by option b.

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Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=12

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So x= 3, y= 7

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1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
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The values of x are
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Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
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$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
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When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
$y=3\left(-3\right)+20=11$

Therefore, the solutions are (6,38) or (-3,11)

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2 years ago

Using synthetic division, what is the quotient (2x3 − 3x − 10) ÷ (x − 2)?

melamori03 [73]

Answer:

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Step-by-step explanation:

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