<span>To acquire knowledge, thought is a fundamental necessity
-It must be "thought about" before any new ideas can be formulated (e.g., a student who is learning English as a second language must be competent in his primary native language before he can "think" or understand new concepts in another language)
-Initial emergence of language and thought are separate from each other, until about the age of 3 when a transition takes place in the child from the external to the internal
-Children practice private speech (self-talk) to become more competent
---The use of private speech helps children to self-regulate through organizing, guiding, and controlling their behavior
---Private speech is responsible for all higher levels of mental functioning
Noam Chomsky
Language Acquisition
-Language learning is innate
-Chomsky believes that children are prewired to learn language and that infants have a language acquisition device (LAD) built-in neurologically so that they can intuitively understand grammar
-There is a critical period when children find it easy to learn language
Language development milestones: Infant (0-12 months)
-Early vocalizations are spontaneous sounds of cooing (vowels) or crying
-Then babbling sounds (phonemes) begin with sounds more like patterned speech with consonant-vowel strings ("da-da-da-da")</span>
Ugh, these questions.
21x^3y^4 + 15x^2y^2 - 12xy^3
3xy^2 (7x^2y^2 + 5x - 4y)
Clearing up clutter...
3xy² (7x²y² + 5x - 4y)
That's your answer. Thanks for working my brain. ;)
You want to eliminate one of the terms (x or y) in one of the equations so you can solve for the other variable. You have to multiply by the opposite number of the coefficient to be able to eliminate the term in the other equation. If the x coefficient is 2, then you have to multiply the entire other equation by -2. If the y coefficient is -5, then you have to multiply the entire other equation by 5.
10)
-4x + 9y= 9
x - 3y= -6
STEP 1:
multiply the bottom equation by 4
4(x- 3y)= 4(-6)
4x - 12y= -24
STEP 2:
add the top equation and the equation from step 2
-4x + 9y= 9
4x - 12y= -24
the x term cancels out
-3y= 15
divide both sides by -3
y= -5
STEP 2:
substitute the y value in either original equation to solve for x
x - 3y= -6
x - 3(-5)= -6
x + 15= -6
subtract 15 from both sides
x= -21
ANSWER: x= -21; y= -5
____________________
12)
-7x + y= -19
-2x + 3y= -19
STEP 1:
multiply the top equation by -3 to eliminate the y term and to solve for x
-3(-7x + y)= -3(-19)
21x - 3y= 57
STEP 2:
add the bottom equation and the equation from step 2 to solve for x
-2x + 3y= -19
21x - 3y= 57
the y term cancels out
19x= 38
divide both sides by 19
x= 2
STEP 3:
substitute the x value in step 2 to solve for y; you can use either original equation
-7x + y= -19
-7(2) + y= -19
-14 + y= -19
add 14 to both sides
y= -5
ANSWER: x= 2; y=-5
Hope this helps! :)
