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2 years ago

Which of the following statements is true?

Mathematics

2 answers:

Fiesta28 [93]2 years ago

6 0

Answer:

TRUE

FALSE

TRUE

andreyandreev [35.5K]2 years ago

6 0

Answer:

first one is true

Step-by-step explanation:

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5. (05.03 LC) What is the simplified form of the quantity of x plus 5, all over the quantity of 3x plus 4 + the quantity of x pl

earnstyle [38]

Answer:

B. $\frac{4x^{2}+24x+31}{3x^{2}+13x+12}$

Step-by-step explanation:

We have been given a rational expression $\frac{(x+5)}{(3x+4)}+\frac{(x+4)}{(x+3)}$ and we are asked to simplify our rational expression.

We can see that our denominators are not equal. Since the two denominators do not share any common factors, the common denominator is simply the product of these two denominators.

To keep the value of expression same we will multiply the same quantity with numerators and denominators.

$\frac{(x+5)(x+3)}{(3x+4)(x+3)}+\frac{(x+4)(3x+4)}{(x+3)(3x+4)}$

Now let us simplify our expression using FOIL.

$\frac{x^{2}+3x+5x+15}{3x^{2}+9x+4x+12}+\frac{3x^2+4x+12x+16}{3x^{2}+4x+9x+12}$

$\frac{x^{2}+8x+15}{3x^{2}+13x+12}+\frac{3x^2+16x+16}{3x^{2}+13x+12}$

Now we have same denominators, so we can add our numerators.

$\frac{x^{2}+8x+15+3x^2+16x+16}{3x^{2}+13x+12}$

Now let us combine like terms.

$\frac{(1+3)x^{2}+(8+16)x+15+16}{3x^{2}+13x+12}$

$\frac{4x^{2}+24x+31}{3x^{2}+13x+12}$

Therefore, the simplest form of our given rational expression will be $\frac{4x^{2}+24x+31}{3x^{2}+13x+12}$ and option B is the correct choice.

8 0

3 years ago

Find gcd for 5767 and 4453

Dima020 [189]

The gcd of 5767 and 4453 is 73.
Hope this helps. :)

7 0

3 years ago

Put in order from large to small:<br><br> 0,2,-1.5,-2,0.5,-5

Dafna1 [17]

0.5, 0.2, -1.5 , -2 , -5

8 0

2 years ago

The larger of two consecutive odd integers is four less than three times the smallest integer. Find the two integers.

ElenaW [278]

Answer: -1 and 1

Step-by-step explanation:

Let the first integer be x and the second x +2 , clearly, the larger is x + 2.

From the statement given

x + 2 = 3x + 4

x - 3x = 4 - 2

-2x = 2

x = -1

The second integer is -1 + 2 = 1

4 0

3 years ago

In the X Y -plane, Line crosses the Y - axis at the point (0,3) and passes through the point ( 4,5). Which of the following is a

nikitadnepr [17]

Answer: y = 1/2x + 3

Step-by-step explanation:

Use the equation y=mx +b

Find the slope (m) of the line by finding the difference in y over the difference in x. Or "rise over run".

The y-intercept (b) is 3 (when x is zero, it is y).

4 0

3 years ago