MATHEMATICS HIGH SCHOOL

What is 64x6 + 27 written as a sum of cubes?(4x)3 + 33
(4x2)3 + 33
(4x2)3 + 93
(4x3)3 + 33

Answers

Answer 1
Answer: To transform the given expression to sum of cubes, calculate first the cube root of the terms. The cube root of the first term, 64x^6 is 4x^2 and that of the second term, 27 is 3.

Thus, the answer to this item is the second choice, (4x^2)^3 + 3^3
Answer 2
Answer:

your answer is...... b :)

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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.

Answers

Answer: Length of room = 30 feet

Width of room = 30-5 = 25 feet

Step-by-step explanation:

Let the length of room be l

Let the breadth of room be l-5

Area of rectangular room = 750 sq. feet

As we know the formula for "Area of rectangle ":

Area=Length* breadth\n\n750=l(l-5)\n\n750=l^2-5l\n\nl^2-5l-750=0\n\n\text{By split the middle term}\n\nl^2-30l+25l-750=0\n\nl(l-30)+25(l-30)=0\n\n(l-30)(l+25)=0\n\nl=30,-25\n\n\text{Negative get discarded}\n\nLength=30\ feet

So, Length of room = 30 feet

Width of room = 30-5= 25 feet
The area is length times width. Therefore, your length is 30 and the width is 25. The width (25) is 5 less than the length (30). 30 times 25 is 750.

PLSSSS HELP IF YOU TRULY KNOW THISSSS

Answers

Just divide the original number by 1 to make the exponent positive!

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach negative infinity. To which family of functions might the described function belong?absolute value
exponential
cube root
square root

Answers

The family of functions to which the described function belongs is the C. Cube root.

What is a Cube Root?

This refers to the function family that contains a range that goes from the negative infinity to infinity.

Hence, we can see that from the given explanation of the function that the domain values approach infinity and the range values approach infinity, there is a similar shift to negative infinity and they belong to the cube root family.

Read more about cube roots here:

brainly.com/question/310302


#SPJ5
Answer: cube root.

Cube root is the only one from the four functions given that has range from negative infinity to infinity.

Solve for p3(p + q) = p
A. q = -2/3p
B. q = -3/2p
C. p = -2/3q
D. p = -3/2q

Answers

it’s A! hope this helps you out!

Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? The graph is not a function of x because the line x = 0 intersects the graph at two points. The graph is a function of x because the line x = 5 does not intersect the graph. The graph is not a function of x because the line y = 0 intersects the graph at two points. The graph is a function of x because the line y = 5 does not intersect the graph.

Answers

Answer:

The graph is not a function of x because the line x = 0 intersects the graph at two points.

Step-by-step explanation:

This graph is not a function because it fails the vertical line test, since several vertical lines would intersect the graph at 2 points.

This answer choice is correct, as the line x = 0 intersects the graph at 2 points, (0, 2) and (0, -2).

Answer:

A

Step-by-step explanation:

What is the solution to the equation 9^(x - 2) = 27 ? x = 2.5/ x = 0.5/ x = -0.5 /x = 3.5

Answers

Answer:

x=3.5

Step-by-step explanation:

9^(x - 2) = 27

To solve for x , we need to make same base on both sides

9 can be written as 3^2

27 can be written as 3^3

9^(x - 2) = 27

[tex[](3^2)^{x - 2} = 3^3[/tex]

multiply the inside exponent with inside exponent

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

Both sides have same base 3

so we equation the exponents

2(x-2)= 3

2x-4= 3

add 4 on both sides

2x=7

divide by 2 on both sides

x=(7)/(2) =3.5
To solve this question rewrite 27 as 3 to power 3. And 9 as 3 to power 2. Then distribute 2 in 3 to the power of 2 to the expression of (X-2). Cancel out 3 base at the end. Then set the equation 2x-4=3. Solving for X gives me 7/2 or 3.5.
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