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4 years ago

(27x 5 + 9x 4 - 18x 3) 9x 2 what is the answer

2 answers:

ioda4 years ago

3 0

Use the formula an=a1+d(n−1)an=a1+d⁢n-1 to identify the arithmetic sequence.

an=−4108400332687849998n+8216800665375699998

Shkiper50 [21]4 years ago

3 0

The correct answer is 2106

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israel started to solve a radical equation in this way: square root of x plus 6 − 4 = x square root of x plus 6 − 4 4 = x 4 squa

agasfer [191]

Lets solve our radical equation $\sqrt{x+6}-4=x$ step by step.

Step 1 add 4 to both sides of the equation:

$\sqrt{x+6} -4+4=x +4$

$\sqrt{x} +6=x+4$

Step 2 square both sides of the equation:

$\sqrt{x+6} =x+4$

$\sqrt{x+6}^2 =(x+4)^2$

$x+6=(x+4)^2$

Step 3 expand the binomial in the right hand side:

$x+6=x^2+8x+16$

Step 4 simplify the expression:

$0=x^2+8x-x+16-6$

$x^2+7x+10=0$

Step 5 factor the expression:

$(x+2)(x+5)=0$

Step 6 solve for each factor:

$x+2=0$ or $x+5=0$

$x=-2$ or $x=-5$

Now we are going to check both solutions in the original equation to prove if they are valid:

For $x=-2$

$\sqrt{x+6}-4=x$

$\sqrt{-2+6}-4=-2$

$\sqrt{4}-4=-2$

$2-4=-2$

$-2=-2$

The solution $x=2$ is a valid solution of the rational equation $\sqrt{x+6}-4=x$ .

For $x=-5$

$\sqrt{x+6}-4=x$

$\sqrt{-5+6}-4=-5$

$\sqrt{1}-4=-5$

$1-4=-5$

$-3\neq -5$

Since -3 is not equal to -5, the solution $x=-5$ is not a valid solution of the rational equation $\sqrt{x+6}-4=x$ ; therefore, $x=-5$ is an extraneous solution of the equation.

We can conclude that even all the algebraic procedures of Israel are correct, he did not check for extraneous solutions.

An extraneous solution of an equation is the solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation. Is worth pointing out that extraneous solutions are particularly frequent in rational equation.

8 0

4 years ago

Find the greatest common factor of 7 and 21.

sertanlavr [38]

Answer: 7

Step-by-step explanation:

Factors of 7 are, 1, and 7. The factors of 21 are, 1, 3, 7, and 21, making 7 the gcf.

6 0

4 years ago

If the perimeter of an isosceles trapezoid is 59.9 meters, and the bases measure 23.2 meters and 17.1 meters, find the length of

saul85 [17]

59.9 = 23.2 + 17.1 + 2*leg = Perimeter

2 * leg = 19.6

each leg = 9.8 meters

3 0

3 years ago

HELP ME RIGHT NOW ON THIS QUESTION

s344n2d4d5 [400]

Answer:

1500 ft^2

Step-by-step explanation:

The area of a triangle is $\frac{bh}{2}$ , where b = base and h = height. In this triangle, we're given the base as 120 and the height as 25. 120 × 25 is 3000, and 3000 divided by 2 is 1500 ft^2.

Therefore, the answer is 1500 ft^2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0

2 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

Brrunno [24]

x = -1 - sqrt(23)

x = sqrt(23) - 1

3 0

3 years ago