Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.The value of the given functions are,

$(h+k)(x)=5$

$(h-k)(x)=9$

$3h(2)+2k(3)=17$

<h3>Given information-</h3>

The given function is,

$h(x)=x^2+1$

$k(x)=x-2$

<h3>Quadratic equation</h3>

Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.

1) The value of the function (h+k)(2),

$(h+k)(x)=h(x)+k(x)$

$(h+k)(x)=x^2+1+x-2$

$(h+k)(2)=2^2+1+2-2$

$(h+k)(x)=5$

2)The value of the function (h-k)(3),

$(h-k)(x)=h(x)-k(x)$

$(h-k)(x)=x^2+1-x+2$

$(h-k)(3)=3^2+1-3+2$

$(h-k)(x)=9$

3) The value of the function 3h(2)+2k(3)

$3h(x)+2k(x)=3x^2+3+2x-2\times 2$

$3h(2)+2k(3)=3\times2^2+3+2\times2-2\times 2$

$3h(2)+2k(3)=17$

Hence the value of the given functions are,

$(h+k)(x)=5$

$(h-k)(x)=9$

$3h(2)+2k(3)=17$

Learn more about the quadratic equation here;

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Explain why you would make one of the addends a tens number when solving an addition problem

leonid [27]

<span> You refer to a multiple of ten. As a multiple of ten you can just add it to another number easier than a "ones number".</span>

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3 years ago

Suppose that G(x) = F(x-6) - 3. Which statement best compares the graph of

aleksklad [387]

Answer:

Step-by-step explanation:

Since G(x) =F(x-6)-3

So on the x-axis it will shift - 6 units so to the left and - 3 units on the y-axis then 3 units down.

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4 years ago

Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r

lbvjy [14]

Answer:

$4.51\times10^{-10}$

Step-by-step explanation:

There are only 2 solutions for none of the rooks can capture any of the other rooks: only if they are laid out in either of the 2 diagonal of the chess board

The number of possible combination for the rock to laid out in 8x8 (64 slots) chess board

$\frac{64 * 63 * 62 * 61 * 60 * 59 * 58 * 57}{8!} = \frac{1.78\times10^{14}}{40320} = 4426165368$ possible combination

So the probability is pretty thin

$P = 2 / 4426165368 = 4.51\times10^{-10}$

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4 years ago