Simplify quantity 6 x squared plus 20 end quantity over 4

Mathematics

1 answer:

Stells [14]4 years ago

8 0

Answer:

Step-by-step explanation:

Let's simplify :

x squared means : $x^2$

over is fraction .

So our expression is :

$\frac{6x^2+20}{4}$

Find common factors of numerator and it is 2 :

$\frac{2(3x^2+10)}{4}$

Reduce by 2 :

$\frac{3x^2+10}{2}$

In word means B.

You might be interested in

Pleaseeeeeeeeeeeeeeeeeeeeeeeeee help me LOVE YA BYE! have a great day

Lesechka [4]

Answer:

12/15

Step-by-step explanation:

4/5 x 3/3 = 12/15

6 0

2 years ago

Read 2 more answers

Classify each statement about the function f(3) = 323 +6 as true or false.

Gre4nikov [31]

Answer:

true.

false

true.

false.

Step-by-step explanation:

1. The domain (x-value) of a function is (-∞, +∞) unless there is some reason for it <u>not </u>to be. No matter what we make x, we do not wind up with something forbidden in the real-number coordinate plane, like a zero denominator or a square root of a negative number, so the domain for x is all real numbers. True.

2. The statement says the range (the y-value) of the function must always be more than zero. There is no particular reason to belive that. If x = -10, then x³ + 6 = -1000 + 6 = -994, which is less that zero. False.

3. We get the y-intercept by making x equal zero. In tha case y = 0³ + 6 = 6. The y-intercept always has an x-coordinate of zero, so the point is (x, y) = (0, 6). True.

4. If a function has symmetry about the origin point, then replacing y with -y and x with -x will get you an equation equivalent to the original. let's try it.

-y = 3(-x)³ + 6 now lets see what happens it we let x = 2

For the original equation: y = 3(2)³ + 6 = 3(8) + 6 = 24 + 6 = 30

Now we try the test equation: -y = 3(-2)³ + 6 = 3(-8) + 6 = -24 + 6 = -18

So -y = -18

So y = 18

The first equation and the test equation are not equivalent, as they do not yield the same results for the same value of x.

Thus, the origin is <u>not </u>a point of symmetry. False.

I am attaching a picture of this function's graph so you can see the actual point of symmetry is (0, 6), which is also the y-intercept. I made it on Desmos dot com, which is free for everyone.