What are some easy ways to find the value of

Mathematics

1 answer:

yuradex [85]3 years ago

3 0

Answer:

Step-by-step explanation:

$\frac{2017^4 - 2016^4}{2017^2 + 2016^2}$

$= \frac{(2017^2 - 2016^2)(2017^2 + 2016^2)}{2017^2 + 2016^2}$

$= (2017^2 - 2016^2)$

$= (2017 - 2016)(2017 + 2016)\\= 4033$

You might be interested in

Determine the type and number of solutions of −4x2 − 3x + 7 = 0.

Kaylis [27]

Answer:

Step-by-step explanation:

You have to use the discriminant for this. If the quadratic is $-4x^2-3x+7$ , then

a = -4, b = -3, and c = 7. The formula for finding the discriminant is

$D=b^2-4ac$ which comes from the quadratic formula, but without the square root sign. Filling in:

$D=(-3)^2-4(-4)(7)$ which simplifies down to

D = 9 + 112 so

D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.

7 0

3 years ago

Evaluate the function g(x) = –2x2 + 3x – 5 for the input values –2, 0, and 3

Sunny_sXe [5.5K]

Answer:

g(x)= -19

g(x)= -5

g(x)= -14

4 0

3 years ago

Read 2 more answers

Round to the nearest hundredth if so. Use 3.14 as pi <br>8. r=<br> d =<br> C=78.8 ft

Kryger [21]

Answer: The radius is 12.54 feet, and the diameter is 25.08 feet.

Explanation: By applying the circumference into the equation r = $\frac{C}{2\pi }$ , we get r = $\frac{78.8}{2\pi }$ which simplifies the radius. And since radius is half of diameter, we multiply by 2 to get the diameter as well to solve the other blank in the problem.