Simplify (3x)–1

A. 81x^4
B. 1/3x
C. 1/x^6
D. 4x^6

Answers

Answer 1

Answer: A 243x^5-1
B x^2-1
C −x5+3x5
D 12x^7-1

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Suppose that you want to model the height of a rider on a Ferris wheel as a function of time. The amplitude of the function you use as a model should be equal to which of the following?a. the area of the Ferris wheel
b. the circumference of the Ferris wheel
c. the diameter of the Ferris wheel
d. the radius of the Ferris wheel

Answers

Answer: d. the radius of the Ferris wheel

Step-by-step explanation:

We now that the amplitude is the vertical distance between a peak or a valley and the equilibrium point.

Thus in the case of Ferris wheel the amplitude should be the difference between the peak(highest) and equilibrium point or equillibrium point and valley(lowest) points .

i.e. it should be half of the diameter of the circle. Since half of diameter of a circle is equals to radius.

Therefore, the amplitude of the function you use as a model should be equal to the radius of the Ferris wheel.

The amplitude of the function you use as a model should be equal to d. the radius of the Ferris wheel. The amplitude should be half the difference between the highest (maximum) and lowest (minimum) points which is half of the diameter of the circle. It is known that half of the diameter is the radius of a circle.

Help please I need it asap

Answers

Answer:

<2 ~= < 4 - Vertical Angles Theorem

<2 ~= <8 - Alternate Exterior Angles

<4 ~= <8 - Corresponding Angles Theorem

line I || line m - Transitive Property

Can someone help me please?

Answers

Answer:

-5, -1, 3

Step-by-step explanation:

x + 4 > -2

-4 -4

x > - 6

so any number larger then -6 satisfy the inequality.

It means integers: -5,-4,-3, -2, -1, 0, 1, 2 3, 4, and so on.

{-6 not because -6 is not >-6}

What is the answer to
2x + 3y = 13
x = 2

Answers

$\bf2x+3y=13$

Plug in x = 2:

$\bf2(2)+3y=13$

Multiply:

$\bf4+3y=13$

Subtract 4 to both sides:

$\bf3y=9$

Divide 3 to both sides:

$\bf~y=3$

So our solution is $\boxed{\bf(2,3)}$

2x + 3y = 13
2(2) + 3y = 13
    4 + 3y = 13
- 4 - 4
      3y = 9
   3    3
   y = 3

Solve the system of equations; x - 2y = 2 and 3x - 5y = 9 by writing and solving a matrix equation. Show all your work.

Answers

y= $(28)/(11)$
x= $(3)/(11)$

Working;
Start by forming a matrix as shown below;
$\left[\begin{array}{ccc}1&-2\n3&5\end{array}\right] ( \left[\begin{array}{ccc}x\ny\end{array}\right])= ( \left[\begin{array}{ccc}2\n9\end{array}\right])$

Step II
Finding the inverse of the matrix as shown below;
Determinant;
(1*5)-(3*(-2)=11
Inverse;
$(1)/(11) \left[\begin{array}{ccc}5&2\n-3&1\end{array}\right] \left[\begin{array}{ccc}1&-2\n3&5\end{array}\right] \left[\begin{array}{ccc}x\ny\end{array}\right]= (1)/(11) \left[\begin{array}{ccc}5&2\n-3&1\end{array}\right] \left[\begin{array}{ccc}2\n9\end{array}\right]$

Evaluating further;
$(1)/(11) \left[\begin{array}{ccc}11&0\n0&11\end{array}\right] \left[\begin{array}{ccc}x\ny\end{array}\right] = (1)/(11) \left[\begin{array}{ccc}28\n3\end{array}\right]$

x= $(28)/(11) and y = (3)/(11)$