Simplify
(1/81) to the 1/4 power

Answers

Answer 1

Answer: ${ \left( \frac { 1 }{ 81 } \right) }^{ \frac { 1 }{ 4 } }\n \n =\sqrt [ 4 ]{ \frac { 1 }{ 81 } } \n \n =\frac { 1 }{ 3 }$

This is because...

$\frac { 1 }{ 3 } * \frac { 1 }{ 3 } * \frac { 1 }{ 3 } * \frac { 1 }{ 3 } =\frac { 1 }{ 81 }$

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For the function below, state the x-coordinate of the x-intercept that is located to the fight of the origin. $f(x)=x^3-9x$

Answers

Answer:

x = 3

Step-by-step explanation:

It should NOT be "fight of the origin", rather "right of the origin".

Now let's move on to solve the question...

The x-intercept is found by setting the function equal to 0. Thus:

0 = x^3 - 9x

Let's solve this using algebra:

$0=x^3-9x\n0=x(x^2-9)\n0=x(x-3)(x+3)$

Hence, x = -3 and x = 3

The coordinate that is to the right of the origin is the positive one, so x = 3 is the x-intercept we are looking for.

What is the slope-intercept equation for the line below?

Answers

Answer: D

Step-by-step explanation:

If we look at the graph we can see that the line intercepts the y-axis at (0,-4), so the intercept must be -4.

If we use the rise-over-run formula for (0,-4) and (4,1) we would get:

$(1--4)/(4) \n\n=(5)/(4)$

Since the line is going upwards, the equation must be positive.

Therefore, the equation in slope-intercept form is y=5/4x-4.

Answer is D

First, we can eliminate option b and c because they are negative, and the line in the graph is goin up.
Then you count and get that the m is 5/4, put it together: y=5/4x-4

(8^3)^4 ⋅ 8^−9/ 8^3
Answer???

Answers

Answer: 1

Step-by-step explanation:

3. Factor.

9x2 + 15x

(Points : 1)

       x(3x + 5)

       3x(3x + 5)

       9x(x + 5)

       3x2(3x + 5)

Question 4.
4.
Factor.

20mn − 30m

(Points : 1)

       2m − 3

       10m(2n − 3)

       10mn(2m + 3n)

       10n(2m − 3)

Question 5.
5.
Factor.

8x2y2 − 4x2y − 12xy

(Points : 1)

       4(2xy − 4x2y − 12xy)

       4(8x2y2 − x − 12xy)

       4x2y2(2xy − xy −3)

       4xy(2xy − x − 3)

Answers

For number three you would take out a 3 and an X

Answer:

3: 3 x ( 3 x + 5 ) or B

4: 10 m ( 2 n − 3 ) or B

5: 4 x y ( 2 x y − x − 3 ) or D

If sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

Answers

sin $x$ = $(opposite)/(hypotenuse)$ = $( √(2) )/(2)$
opposite= $√(2)$
hypotenuse=2

$Adjacent^(2)$ + $(√(2 ))^(2 )$ = $2 ^(2)$
$Adjacent^(2)$ +2=4
$Adjacent^(2)$ =2
Adjacent= $√(2)$

cos $x$ = $(ajc)/(hyp)= ( √(2) )/(2)$
Tan $x$ = $(opp)/(adj) = ( √(2) )/( √(2) )$