All categories

3 years ago

Is 2x and 5x^2 like terms?

1 answer:

7 0

No, they are not like terms because they cannot be added together. 5x^2 is squared, whereas 2x is not. Though they both have x variables attached to them, they are not like terms because one is squared and the other is not. Examples of like terms include 5 and 8, 4y and 7y, 8z^2 and 10z^2.

Hope this helps!! :)

You might be interested in

Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.

barxatty [35]

Answer:

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

$\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx$

If $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ , $a = 0$ , $b = b$ and $\bar f = 8$ , then:

$\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8$

$\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8$

$\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8$

$7 + 5\cdot b - 3\cdot b^{2} = 8$

$3\cdot b^{2}-5\cdot b +1 = 0$

The roots of this polynomial are determined by the Quadratic Formula:

$b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

7 0

4 years ago

What is the slope of the function

guajiro [1.7K]

Answer:

-2/2

Step-by-step explanation:

function calculator

8 0

3 years ago

Select all that apply.

kirill115 [55]

It would be 5*5*5 which is 125 :D

3 0

3 years ago

Read 2 more answers

A tap running 20ml a minute. How long to a fill a litre. In minutes please

zhannawk [14.2K]

Answer:

20ml in 1 minute. 1000ml is equal to 1 litre.

Step-by-step explanation:

1000/20 = 50

. 50 minutes will take to fill a litre

6 0

2 years ago

Read 2 more answers

Find the length of the third side. If necessary, round to the nearest tenth.

joja [24]

Answer: 5

Step-by-step explanation:

use formula a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 + 144 = 169

- 144 -144

a^2 = 25

sqrt sqrt

a = sqrt (25)

a = 5

8 0

3 years ago