1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Allisa [31]
3 years ago
12

What is the following simplified product? Assume x greater-than-or-equal-to 0

Mathematics
2 answers:
nlexa [21]3 years ago
5 0

Answer:

  10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}

Step-by-step explanation:

Remove perfect squares from under the radicals.

  (\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})\\\\=(\sqrt{10x^4})(2\sqrt{15x^4}) +(\sqrt{10x^4})(\sqrt{3x^3}) -(x\sqrt{5x^2})(2\sqrt{15x^4}) -(x\sqrt{5x^2})(\sqrt{3x^3})\\\\=2\sqrt{150x^8}+\sqrt{30x^7}-2x\sqrt{75x^6}-x\sqrt{15x^5}\\\\=\boxed{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}

_____

The applicable rules of exponents are ...

  (x^a)(x^b) = x^(a+b)

  √(a^2) = a . . . . . . . for a > 0

  (√a)(√b) = √(ab)

lapo4ka [179]3 years ago
4 0

Answer:

See attached.

Step-by-step explanation:

You might be interested in
The function h ( x ) = 1 x − 1 h ( x ) = 1 x - 1 can be expressed in the form f ( g ( x ) ) f ( g ( x ) ) , where g ( x ) = ( x
Radda [10]

Answer: f(x) = 1^(x + 1)

Step-by-step explanation:

we have that h(x) = 1^x

and h(x) = f(g(x))

This mean that we are evaluating the function f(y) in the point y = g(x)

where g(x) = x - 1

then:

f(g(x) = f(x - 1) = h(x) = 1^x

then we should have that:

f(x) = 1^(x + 1)

then:

f(x - 1) = 1^(x - 1 + 1) = 1^x

4 0
3 years ago
Write a story problem that would model the sum of the arrows in the number diagram below. The first part of your story should re
dalvyx [7]
ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana
3 0
3 years ago
When principal = Rs x, Time = y years and Rate = z% per year, calculate the simple interest.
Marianna [84]

Answer:

X×Y×Z%/100

Step-by-step explanation:

using formula

si=p×t×r%/100

3 0
2 years ago
What integer is having 3 dollats
faust18 [17]

Answer:

Why is 3 an integer?

They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4

8 0
2 years ago
If AB=x and x=4, then the transitive property states
Anarel [89]

Answer:

4. AB=4

Step-by-step explanation:

Transitive property is like substitution, or that's how I like to think of it. Since we have 2 common variables and 2 equations, we can "link them together". Replacing x with 4, you get AB=4.

8 0
3 years ago
Other questions:
  • Sara had a baby that weighed 8 pounds at birth. The following graph represents the
    9·1 answer
  • You are having a conference call with the CEO of a paper company. You have interpreted the number of trees cut down versus profi
    13·2 answers
  • The volume of a sphere of its function, v= 4/3 times 3.14 times 11.2 to the third power
    14·1 answer
  • X
    15·1 answer
  • 6. A psychology professor of a large class became curious as to whether the students who turned in tests first scored differentl
    10·1 answer
  • Factor the polynomial below.<br> 20x squared minus 45
    7·1 answer
  • Ms.Ferris owns a barn 12 yards long ,9 yards high, and 11 yards wide. If Ms.Ferris’s barn is rectangular,what is the volume of h
    14·1 answer
  • Ben is decorating his home with vases of flowers. He bought glass vases that cost $22 each and ceramic vases that cost $14 each.
    7·2 answers
  • Solve -2t + 5 ≥ -7.<br><br> t ≥ -6<br> t ≤ -6<br> t ≥ 6<br> t ≤ 6
    12·1 answer
  • An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!