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Pavel [41]
3 years ago
11

What is (f⋅g)(x)? f(x)=x2−2x+3 g(x)=x3−4

Mathematics
1 answer:
Papessa [141]3 years ago
7 0

Answer:

Step-by-step explanation:

(f.g)(x) = (x² - 2x + 3) (x³ - 4)

= x²* (x³ - 4) - 2x* (x³ - 4) + 3 * (x³ - 4)

= x²*x³ - x²*4 - 2x*x³ - 2x*(-4) + 3*x³ - 3 * 4

= x⁵ - 4x²  - 2x⁴ + 8x + 3x³ - 12

= x⁵ - 2x⁴ + 3x³ - 4x² + 8x - 12

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The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?
lesya [120]

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5

6 0
2 years ago
This month you make $3,881 from liquor salesfrom food, and from your gift shop. your monthly sales goal is $25,000, did you meet
katrin2010 [14]

Answer:

No

Step-by-step explanation:

If you add all the sales you do not meet your goal of $25,000

3 0
2 years ago
Find the perimeter of the polygon. Round your answer to the nearest tenth.
mash [69]

Answer:

39

Step-by-step explanation:

found the sides length using pythagorean's theorem, and adding them all together

8 0
3 years ago
Plz need help i cant do it​
tatuchka [14]

Answer

adding 2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
1) Ms. Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kitts
Alborosie

Answer:

L = 3t + 6

108 = L + t

Step-by-step explanation:

first, define the variables:

L = # of CDs sold last week

t = # of CDs sold this week

then, let's write what the words of problem tells us in numbers:

"Last week (L), she sold 6 more (+ 6) than 3 times the number of CDs she sold this week (3t)

L = 3t + 6

"She sold a total of 108 CDs over 2 weeks (L + t)

108 = L + t

7 0
3 years ago
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