All categories

3 years ago

Given g(x) = x squared - x, find g (2/3)

Mathematics

2 answers:

lesantik [10]3 years ago

8 0

Answer:

$\large\boxed{g\left(\dfrac{2}{3}\right)=-\dfrac{2}{9}}$

Step-by-step explanation:

$g(x)=x^2-x=x(x-1)\\\\g\left(\dfrac{2}{3}\right)\to\text{put }\ x=\dfrac{2}{3}\ \text{to the eqation of the function:}\\\\g\left(\dfrac{2}{3}\right)=\left(\dfrac{2}{3}\right)\left(\dfrac{2}{3}-1\right)=\left(\dfrac{2}{3}\right)\left(\dfrac{2}{3}-\dfrac{3}{3}\right)=\left(\dfrac{2}{3}\right)\left(-\dfrac{1}{3}\right)=-\dfrac{(2)(1)}{(3)(3)}=-\dfrac{2}{9}$

Elza [17]3 years ago

5 0

Answer:

-2/9

Step-by-step explanation:

g(x) = x^2 -x

Let x = 2/3

g(2/3) = (2/3) ^2 - 2/3

= 4/9 - 2/3

We need a common denominator of 9

4/9 - 2/3*3/3

4/9 - 6/9

-2/9

You might be interested in

Determine whether the relation is a function. Explain why or why not.

Vitek1552 [10]

This relation is a function. This is because no x value is repeated, so it passes the vertical line test.

Here is an example of where a relation is NOT a function:

{(2, 5), (3, –5), (2, 5), (5, –5)}

Hope this helps!

3 0

2 years ago

What is 1938736373737+7273636362?

nadezda [96]

Yeah it is 1.94601e+12

6 0

3 years ago

Can someone help me these 2 questions? PLS and ty!

adelina 88 [10]

Answer:

y=60° b=60°

Step-by-step explanation:

the sum of all degrees of interior triangle is 180

in the first one, 30° and 90° have been given.(that small square represent 90°)

so 180°-90°-30°=60°

in the second one, the 120° is on the other side of a line, a line has a degree of 180, therefore the interior angle is 60°, the same rule 180°-2*60°=60°

5 0

2 years ago

Read 2 more answers

WILL GIVE BRAINLIEST 20 POINTS<br> Congruent?<br> If so, what property?

Oksanka [162]

Answer:

Yes, they are congruent to one another, ASA

Step-by-step explanation:

The side that they share is congruent, and it is the included side, so Angle Side Angle is used here.

Hope this helps! If you found my answer helpful, please consider marking me brainliest. Thank you!

7 0

1 year ago

Do you hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg the longer leg is 7 feet longer than the

Lera25 [3.4K]

Answer:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

Step-by-step explanation:

We are given $h=1+2s$ where $h$ is the hypotenuse and $s$ is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with $h$ , "is" with $=$ , "1 foot more than" with $1+$ and finally "twice the length of the shorter leg" with $2s$ .

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with $L$ .

I'm going to replace "is" with $=$ .

I'm going to replace "7 feet longer than the shorter leg" with $7+s$ .

So we have the equation $L=7+s$ .

So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.

So by Pythagorean Theorem, we have: $s^2+L^2=h^2$ .