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3 years ago

Solve for x:(x-1)^3/2 = 27

2 answers:

8 0

(x-1)^3 / 2 = 27

For equations like this, we want to isolate x in order to get the value of it.

First, let's multiply both sides by 2 to eliminate the fraction.

(x-1)^3 = 27(2)

Now, let's take the cube root of both sides

(x-1) = ∛(27 * 2)

Now, simplify the root

x - 1 = 3∛2

Add both sides by 1

x = 1 + 3∛2

That's your answer.

Have an awesome day! :)

Angelina_Jolie [31]3 years ago

4 0

If you want the decimallll, x = 4.779763147, you probably don't need that. But whatever. XD

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What is the equation of a line that is perpendicular to y=3x-2 and passes through the point (6 8) ?

Scrat [10]

The result is a line perpendicular to y=3x-2
This line has the following equation: y =mx + b, where m = slope

Remember that the product of the slopes of two perpendicular lines is always = -1 (or in other term one is the reciprocal inverse of the other) so the
first slope = 3 and the sope perpendicular to 3 will be - 1/3.
Then the new equation is y = - 1/3(x) + b
How to calculate b? This line passes through (6, 8), that
means (x=6 and y=8) . Plug these values in y = -1/3 (x)+b:3
8=(-1/3)(6) + b;
8= - 2 + b and b = 10
Te final equation is y = - 1/3.x+10 (answer A)

8 0

2 years ago

The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.

seropon [69]

Answer: Option B.

Step-by-step explanation:

Given the polynomial:

$16x^2-36x+9$

Observe that $16x^2$ and $9$ are perfect squares. Then, you can rewrite the polynomial in this form:

$(4x)^2-36x+(3)^2$

You can identify that:

$A=4\\B=3$

Then, we can check if $2AB=36$

$2(4x)(3)=36x\\\\24x\neq 36x\\\\2AB\neq36x$

Since $2AB\neq36x$ , the polynomial $16x^2-36x+9$ IS NOT a perfect square trinomial of the form $A^2 - 2AB + B^2$

8 0

2 years ago

Read 2 more answers

Evaluate the function f(x)=2x-2 when x equals negative 1 A. -4 B. -3 C. 0 D. 4

Alona [7]

F(x)= -4.
Just plug in -1 for your x in 2x-2 and solve like a normal equation. Think of f(x) a your y because that's basically what it is. If it helps, the equation is basically:
y=2x-2 so you would just solve for y by plugging in -1 into x.

8 0

3 years ago

Johnetta simplified 7/9+ 3/8 her work is shown below. identify where she made an error

Sedbober [7]

She made an error in the STEP 1
she shouldnt multiply the numbers

4 0

2 years ago

Find the equation of the line passing through (3,4), (-1,-2).

Kryger [21]

Answer:

(y-(-2))/(x-(-1)= (-2-4)/(-1-3)

(y+2)/(x+1)= (-6)/(-4)

(y+2)/(x+1)= (3/2)

Cross multiplying

2y+4= 3x+3

3x-2y-1=0

7 0

2 years ago