![ajanae97](/avatars/36146.jpg)
ajanae97
03.03.2021 •
Mathematics
Function g can be thought of as a scaled version of f(x) = 12).
What is the equation for g(x)?
Solved
Show answers
More tips
Answers on questions: Mathematics
- M Mathematics Considera il triangolo di vertici A (-1,0), B(1,-1) e C(2,2) a. Determina il perimetro e la sua area. b. Stabilisci se il triangolo è rettangolo c. Determina l’equazione della...
- M Mathematics Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3)....
- M Mathematics What is the length of a square park whose area is 64 m2 - a) 8m b) 16m c) 4m...
- M Mathematics WILL MARK BRAINLIEST FOR BEST ANSWER for real numbers x and y what is the largest possible value of 5 - (x-y)^2...
- M Mathematics Please please help me with this question please...
- M Mathematics Nell insieme delle frazioni si può introdurre il concetto di frazioni In questo modo, l insieme delle frazioni viene suddiviso in..., insieme dei numeri razionali viene chiamato...
- M Mathematics What is the arithmetic mean between 35 and 105? A 60 C. 70 B. 65 D. 75with formula of solutions,thanks...
- M Mathematics Calculate the number of months in each.use addition. a) 2 years...
- M Mathematics Cho tỉ lệ thức x/4=y/7 và x.y=112 tìm x,y...
- M Mathematics If: , are the measures of two complementary angles, where := 1:2, then sin+cos =...
Ответ:
(2y - 3) • (4y2 + 6y + 9)
Step-by-step explanation:
Step by step solution :
Step 1 :
Equation at the end of step 1 :
23y3 - 27
Step 2 :
Trying to factor as a Difference of Cubes:
2.1 Factoring: 8y3-27
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check : 8 is the cube of 2
Check : 27 is the cube of 3
Check : y3 is the cube of y1
Factorization is :
(2y - 3) • (4y2 + 6y + 9)
Trying to factor by splitting the middle term
2.2 Factoring 4y2 + 6y + 9
The first term is, 4y2 its coefficient is 4 .
The middle term is, +6y its coefficient is 6 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36
Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 6 .
-36 + -1 = -37
-18 + -2 = -20
-12 + -3 = -15
-9 + -4 = -13
-6 + -6 = -12
-4 + -9 = -13
For tidiness, printing of 12 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
(2y - 3) • (4y2 + 6y + 9)