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Zepler [3.9K]
3 years ago
10

This is my question (-4b^3)(2b^5

Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

- 8{b}^{8}

Step-by-step explanation:

- 4 {b}^{3}  \times 2 {b}^{5}

For this question, just multiply all like terms.

- 4 \times 2 =  - 8

{b}^{3}  \times  {b}^{5}  =  {b}^{3 + 5}  =  {b}^{8}

Note that the b^3 and b^5 are just bunch of b multiplying with each other. So, that can be represented as adding the exponents.

- 8 \times {b}^{8}  =  - 8 {b}^{8}

Also, I intentionally calculated the like terms separately for your understanding. So, you can just write the answer directly after the question without the extra work shown above (unless the extra work is required).

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Can somebody step by step explain how to solve this problem??<br><br> (3x^2y)(-7xy^3)
charle [14.2K]

Answer:

\boxed{\bold{-21x^3y^4}}

Explanation:

[ Step One ] Remove Parenthesis: (a) = a

\bold{-3x^2y\cdot \:7xy^3}

[ Step Two ] Multiply: \bold{3\cdot \:7=21}

\bold{-21x^2xy^3y}

[ Step Three ] Apply Exponent Rule \bold{\:a^b\cdot \:a^c=a^{b+c}: \ x^2x=\:x^{2+1}=\:x^3}

\bold{-21x^3y^3y}

[ Step Four ] Apply Exponent Rule: \bold{y^3y=\:y^{1+3}=\:y^4}

\bold{-21x^3y^4}

[ \boxed{\bold{Final \ Answer}} ]

➤ \bold{-21x^3y^4}

\boxed{\bold{Mordancy}}

5 0
3 years ago
Read 2 more answers
Which shows one way to determine the factors of x^3-12x^2-2x+24
SashulF [63]
Hello,
x^3-12x²-2x+24=x²(x-12)-2(x-12)=(x-12)(x²-2)
=(x-12)(x-√2)(x+√2)


8 0
3 years ago
Which of the following of x and y would make up the following expression represent a real number? (4+5i)(x+yi)
salantis [7]

Answer:

x = 4 and y = - 5

Step-by-step explanation:

note that the product of a complex number and it's conjugate is real

That is

(a + bi)(a - bi) where a, b are real

= a² - abi + abi - b²i²

= a² + b² ← a real number

For (4 + 5i)(x + yi) to be real

we require (x + yi) to be the conjugate of 4 + 5i , that is 4 - 5i

(4 + 5i)(4 - 5i) ⇒ x = 4 and y = - 5



8 0
2 years ago
What % of 40 is 15? Please put how u do it
andriy [413]

Answer:

37.5

Step-by-step explanation:

so x% of 40 is 15

the equation for that is

x/100 * 40 = 15

40x/100 = 15

multiply 100 on both sides

40x = 1500

divide 40 on both sides

37.5

37.5% of 40 is 15

6 0
3 years ago
Read 2 more answers
1. The manager of FrozonAir Refrigerator factory notices that on Monday it cost the company a total of $25,000 to build 30 refri
Vinvika [58]

Answer:

The fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500

Step-by-step explanation:

Let

Cost per refrigerator (marginal cost) = r

Fixed costs per day for the factory = f

Total cost = variable cost + fixed cost

Monday

25,000 = 30r + f

Tuesday

30,000 = 40r + f

Using Monday,

f = 25000 -30r

Substitute f = 25000 - 30r into Tuesday

30,000 = 40r + f

30,000 = 40r + (25,000 -30r)

30,000 = 40r + 25,000 - 30r

Collect like terms

30,000 - 25,000 = 40r - 30r

5,000 = 10r

Divide both sides by 10

r = 5,000 / 10

= 500

r = $500

Substitute r= 500 into Monday equation

f = 25,000 -30r

= 25,000 - 30(500)

= 25,000 - 15,000

= 10,000

f = $10,000

Therefore, the fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500

7 0
3 years ago
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