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cluponka [151]
3 years ago
8

Multiply (a-2)(2a^2-5a-2)​

Mathematics
1 answer:
sergey [27]3 years ago
8 0

Distribute sum groups

a(2a^2 - 5a - 2) - 2(2a^2 - 5a - 2)

Expand

2a^3 - 5a^2 - 2a - (4a^2 - 10a - 4)

Simplify brackets

2a^3 - 5a^2 - 2a - 4a^2 + 10a + 4

Collect like terms

2a^3 + (-5a^2 - 4a^2) + (- 2a + 10a) + 4

Simplify

<u>= 2a^3 - 9a^2 + 8a + 4</u>

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If f(x) = 7x+6 and g(x)=8x-4 find f(g(-2))
sp2606 [1]

Answer:

f(g(-2))=-134

Step-by-step explanation:

So we have the two functions:

f(x)=7x+6\text{ and } g(x)=8x-4

And we want to find f(g(-2)).

First, let's find g(-2):

g(-2)=8(-2)-4

Multiply:

g(-2)=-16-4

Subtract:

g(-2)=-20

Now, substitute:

f(g(-2))=f(-20)

Now, find the value of f(-20):

f(-20)=7(-20)+6

Multiply:

f(-20)=-140+6

Add:

f(-20)=-134

So:

f(g(-2))=-134

And we're done!

5 0
3 years ago
Are all equilateral triangles similar? Justify your answer.
Juli2301 [7.4K]
Yes all equilateral triangles are congruent. You can prove congruence with two congruent angles and all equilateral triangles will have 60º angles. Which is enough to prove similarity
8 0
3 years ago
Determine the commutators of the operators a and a+,where a = (x + ip)/2 ^1/2 and a+ = (x - ip)/ 2 ^1/2
Vsevolod [243]

Answer:

Given that:

a = (\frac{x+ip}{2})^{\frac{1}{2}} and a+= (\frac{x-ip}{2})^{\frac{1}{2}}

if a , a+ commutator, it obeys aa^+ = a^+a

First find:

aa^+ = (\frac{x+ip}{2})^{\frac{1}{2}} (\frac{x-ip}{2})^{\frac{1}{2}}

                = (\frac{(x)^2-(ip)^2}{4})^{\frac{1}{2}}=(\frac{(x)^2+(p)^2}{4})^{\frac{1}{2}}

Now;

a^+a =(\frac{x-ip}{2})^{\frac{1}{2}} (\frac{x+ip}{2})^{\frac{1}{2}} = (\frac{(x)^2-(ip)^2}{4})^{\frac{1}{2}}

              =(\frac{(x)^2-(ip)^2}{4})^{\frac{1}{2}}=(\frac{(x)^2+(p)^2}{4})^{\frac{1}{2}}

therefore, aa^+ = a^+a which implies the operators a and a+ are commutators.    


7 0
3 years ago
Which choice most effectively sets up the
tatiyna

Option D. However, despite its many utilitarian benefits, colleges have not always supported the study of philosophy.

Which choice most effectively sets up the information that follows?

  • Despite philosophy teaching useful tools for academic and professional achievement, only 18 percent of the American colleges incorporated the course within curriculum, thus indicating their lack of support.
  • Hence, Option D is correct. The other  options do not express this condition.

To know more about reading comprehension, refer:

brainly.com/question/23343740

#SPJ4

6 0
2 years ago
What is the length of the base of a yield sign that has a height of 14 inches and has an area of 84 square inches? Write the num
Rufina [12.5K]
That's simple, it is 6. Hope this helps.
4 0
4 years ago
Read 2 more answers
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