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Rus_ich [418]
2 years ago
15

Can someone help and explain how to find domain and range I'm confused doing it on the last to I know how to do it with x just n

ot x+1 and x-2??????​

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
8 0

Answer:

Domain is the set of inputs that will give you a defined output.

In example, f(x)=5/x, the domain would be all real numbers except for 0, because if it would be 0, it would be 5/0 which would be undefined.

Range is the set of outputs that are possible.

In example, f(g)=g(0), the range would be 0.

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the side of a triangle are in the extended ratio of 3:2:4 if the length of the shortest side is 6cm what is the length of the lo
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3 years ago
Select the two values of x that are roots of this equation.<br> 2x^2+ 1 = 5x
iren [92.7K]

Answer:

\frac{5+\sqrt{17}}{4},      \frac{5-\sqrt{17}}{4}

Step-by-step explanation:

One is asked to find the root of the following equation:

2x^2+1=5x

Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:

ax^2+bx+c=0

Change the given equation using inverse operations,

2x^2+1=5x

2x^2-5x+1=0

The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:

\frac{-b(+-)\sqrt{b^2-4ac}}{2a}

Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,

\frac{-b(+-)\sqrt{b^2-4ac}}{2a}

\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}

Simplify,

\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}

\frac{5(+-)\sqrt{25-8}}{4}

\frac{5(+-)\sqrt{17}}{4}

Rewrite,

\frac{5(+-)\sqrt{17}}{4}

\frac{5+\sqrt{17}}{4},      \frac{5-\sqrt{17}}{4}

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3 years ago
You deposited 800 dollars in an account that pays 6% interest compounded monthly. How much will your account be worth after 10 y
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The answer is D. $14,55.52. I got this answer by using the compound interest formula which would be Y=800(1+.06/12)^12•10. Hope this helps!! :)

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