4 years ago

When we plot all the points that satisfy an equation or inequality we __ it.

Mathematics

1 answer:

BabaBlast [244]4 years ago

4 0

When we plot all the points that satisfy an equation or inequality we GRAPH it

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Which of the binomials below is a factor of this trinomial? 4x2 + 12x + 9A. 2x-3B. 2x-1C. 2x+1D. 2x+3

katrin [286]

In order to factorate the trinomial, let's first find its roots using the quadratic formula:

$\begin{gathered} b^2-4ac=12^2-4\cdot4\cdot9=144-144=0 \\ x_1=x_2=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}=\frac{-12+0}{2\cdot4}=-\frac{12}{8}=-\frac{3}{2} \end{gathered}$

Now we can write the trinomial in the form:

$a(x-x_1)(x-x_2)$

So we have that:

$4x2+12x+9=4(x+\frac{3}{2})(x+\frac{3}{2})=(2x+3)(2x+3)$

So 2x + 3 is a factor of the trinomial, therefore the answer is D.

8 0

2 years ago

The cooper family owns a luxury sedan and a compact car. The fuel tank capacity of the luxury sedan 9s 22.45 gallons and that of

Viefleur [7K]

Answer:

$13.75\ gal$

Step-by-step explanation:

we know that

To find out the difference In the fuel tank of the two cars, subtract the fuel tank capacity of the compact car from the fuel tank capacity of the luxury sedan

$22.45-8.7=13.75\ gal$