Is your roller coaster a function? Why or why not?

describe how to transform (^5 square root x^7)^3 into an expression with a rational exponent. make sure you respond with complet

diamong [38]

Answer:

$x^\frac{21}{5}$

Step-by-step explanation:

We are given an expression and we have to transform it into an expression with exponent.

5th root of x can be written as $x^\frac{1}{5}$

$(\sqrt[5]{x^7})^3\\\\((x^7)^\frac{1}{5} )^3$

The powers outside will be multiplied as: $(x^a)^b = x^{ab}$

$(x^\frac{7}{5} )^3\\x^\frac{7*3}{5}\\x^\frac{21}{5}$

where the exponent is $\frac{21}{5}$ and it is a rational number by definition of rational numbers

3 0

4 years ago

Help me please I dont get this

inessss [21]

Answer/Step-by-step explanation:

Area of a rectangle = Length × Width

Width of the large rectangle = a

Length of the large rectangle = (2 + 3 + 4)

Therefore:

Area of the large rectangle = a(2 + 3 + 4)

6 0

3 years ago

Given h(x) = 2x – 3, find h(5)

kobusy [5.1K]

Answer:

h(5) = 7

Step-by-step explanation:

Step 1: Define

h(x) = 2x - 3

h(5) is x = 5

Step 2: Substitute and Evaluate

h(5) = 2(5) - 3

h(5) = 10 - 3

h(5) = 7

3 0

3 years ago

Which sets of coordinate pairs lie on the line created by the equation 2x-2=y?

Agata [3.3K]

X intercept=(1,0)
Y intercept=(0,-2)
You get x by substituting 0 for y and you get y by substituting 0 for x therefore to find y coordinates,
2(0)-2=y
0-2=y
-2=y so (0,-2)
And to find x coordinates,
2x-2=0
2x=2
2x/2=2/2
X=1 so (1, 0)

7 0

3 years ago

HELP!

Anastasy [175]

The areas of the parallelograms can be compared as: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

<h3>What is a parallelogram?</h3>

A parallelogram refers to a geometrical shape and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

<h3>How to calculate the area of a triangle?</h3>

Mathematically, the area of a triangle can be calculated by using this formula:

Area = ½ × b × h

Where:

b represents the base area.

h represents the height.

<h3>How to calculate the area of a rectangle?</h3>

Mathematically, the area of a rectangle can be calculated by using this formula;

A = LW

Where:

A represents the area of a rectangle.

l represents the length of a rectangle.

w represents the width of a rectangle.

Next, we would determine the area of the two parallelograms as follows:

Area of parallelogram 1 = Area of red-rectangular figure - Area of triangle A - Area of triangle B - Area of triangle C - Area of triangle D.

Substituting the given parameters into the formula, we have;

Area of parallelogram 1 = (6 × 6) - (½ × 4 × 2) - (½ × 2 × 4)- (½ × 4 × 2) - (½ × 2 × 4)

Area of parallelogram 1 = 36 - 4 - 4 - 4 - 4

Area of parallelogram 1 = 36 - 16

Area of parallelogram 1 = 20 units².

For parallelogram 2, we have:

Area of parallelogram 2 = Area of blue-rectangular figure - Area of triangle P - Area of triangle Q - Area of triangle R - Area of triangle S.

Substituting the given parameters into the formula, we have;

Area of parallelogram 2 = (8 × 4) - (½ × 2 × 2) - (½ × 6 × 2)- (½ × 2 × 2) - (½ × 2 × 6)

Area of parallelogram 2 = 32 - 2 - 6 - 2 - 6

Area of parallelogram 2 = 32 - 16

Area of parallelogram 2 = 16 units².

Difference = Area of parallelogram 1 - Area of parallelogram 2

Difference = 20 - 16

Difference = 4 units².

In conclusion, we can infer and logically deduce that the area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Read more on parallelogram here: brainly.com/question/4459854

#SPJ1

6 0

1 year ago