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2 years ago

PLEASE HELP ME THIS IS MY LAST DAY TO GET THIS DONE!!!!! ILL MARK BRAINLY

Mathematics

2 answers:

Nadya [2.5K]2 years ago

7 0

The option that is not a rational expression is $\frac{3x + 4\sqrt{x} -7}{2x+2}$

<h3>How to find rational expression?</h3>

Rational expression are fraction whose numerator and denominator are polynomials.

In other words, rational expression is the ratio of two polynomials.

Therefore, an example of a ration expression is as follows:

$\frac{x^{2}+9 }{x + 1}$

Therefore, the option that is not a rational expression is as follows;

$\frac{3x + 4\sqrt{x} -7}{2x+2}$

learn more on rational expression here: brainly.com/question/17134322

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evablogger [386]2 years ago

6 0

The expression that is not a rational expression is:

$\frac{(x + 3)(2x - 1)}{x + 3}$

<h3>What is a rational expression?</h3>

A rational expression is an expression that has a variable in the denominator.

For expression $\frac{(x + 3)(2x - 1)}{x + 3}$ , x + 3 is a common term to the numerator and denominator, hence it is simplified to 2x - 1 and is not a rational expression.

More can be learned about rational expressions at brainly.com/question/2264785

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2 years ago

(4z+3)+(4z+3)+(4z+3)+(4z+3) solve please or simplify

Volgvan

Answer:

16z+12

Step-by-step explanation:

Let's simplify step-by-step.

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3 years ago

Identify the standard form of the equation by completing the square.

OLEGan [10]

Answer:

$\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1$

Step-by-step explanation:

<u>Given equation</u>:

$4x^2-9y^2-8x+36y-68=0$

This is an equation for a horizontal hyperbola.

<u>To complete the square for a hyperbola</u>

Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

$\implies 4x^2-8x-9y^2+36y=68$

Factor out the coefficient of the x² term and the y² term.

$\implies 4(x^2-2x)-9(y^2-4y)=68$

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:

$\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2$

$\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36$

Factor the two perfect trinomials on the left side:

$\implies 4(x-1)^2-9(y-2)^2=36$

Divide both sides by the number of the right side so the right side equals 1:

$\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}$

Simplify:

$\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1$

Therefore, this is the standard equation for a horizontal hyperbola with:

center = (1, 2)
vertices = (-2, 2) and (4, 2)
co-vertices = (1, 0) and (1, 4)
$\textsf{Asymptotes}: \quad y = -\dfrac{2}{3}x+\dfrac{8}{3} \textsf{ and }y=\dfrac{2}{3}x+\dfrac{4}{3}$
$\textsf{Foci}: \quad (1-\sqrt{13}, 2) \textsf{ and }(1+\sqrt{13}, 2)$

4 0

2 years ago

14. See image below math is so hard I was never good at it

Aleks04 [339]

750 feet…………..1 inch

x=6,066/750

x=8.088 inches

c. 8 inches

4 0

3 years ago