Answer:
10
Step-by-step explanation:
130+40+x =180
x=10
option 2 is correct
The given trinomial can be factored using the factorization method.
x² - 2x - 24
The middle term should be written is such a way that the sum of two terms is equal to the middle one and their product should be equal to the product of first and third term. So the above expression can be written as
= x² -6x + 4x - 24
= x(x-6) + 4(x-6)
= (x-6)(x+4)
Thus, (x-6)(x+4) is the factored form of the polynomial.
So the correct answer is option B
Answer:
(x - 8)(x + 3)
Step-by-step explanation:
x² - 5x - 24
Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × + 3 = - 24 and - 8 + 3 = - 5
Use these factors to split the x- term
x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )
= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term
= (x - 8)(x + 3) ← in factored form
9514 1404 393
Answer:
- left 3 units
- up 4 units
- shape: lower left image
Step-by-step explanation:
For a parent function f(x), the transformations ...
g(x) = a×f(x -h) +k
cause ...
- vertical expansion by 'a', reflection over x-axis if negative
- right shift by 'h'
- up shift by 'k'
Here, we have parent function f(x) = 1/x with a=-1, h=-3, k=4. Then the transformations are ...
horizontal shift left 3 units
vertical shift up 4 units
reflection over x-axis, so curves are above-left and below-right of the reference point (Note that the reflection is done <em>before</em> the translation.)
Answer:
B. 30
Step-by-step explanation:
3x + 2x + x = 180 (angle sum of a triangle is 180)
6x = 180
x = 30
