21x2(x-3) is the answer i think.
Answer:
a. (3x² - 2x - 5) units²
b. (x² - x) units²
c. (2x² - x - 5) units²
Step-by-step explanation:
a. Area of the frame = L*W
L = (x + 1) units
W = (3x - 5) units
Area of the frame = (x + 1)(3x - 5)
Apply distributive property
x(3x - 5) +1(3x - 5)
3x² - 5x + 3x - 5
Area of the frame = (3x² - 2x - 5) units²
b. Area of the picture = L*W
L = x units
W = (x - 1) units
Area of the picture = x(x - 1)
Apply distributive property
= x² - x
Area of picture = (x² - x) units²
c. Area of the frame that surrounds the picture = area of frame - area of picture
= (3x² - 2x - 5) - (x² - x)
= 3x² - 2x - 5 - x² + x (distributive property)
Add like terms
= 3x² - x² - 2x + x - 5
= 2x² - x - 5
Area of the frame that surrounds the picture = (2x² - x - 5) units²
Answer:
2(2x + 1)(2x + 5)
Step-by-step explanation:
Given
8x² + 24x + 10 ← factor out 2 from each term
= 2(4x² + 12x + 5)
To factorise the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × 5 = 20 and sum = + 12
The factors are + 2 and + 10
Use these factors to split the x- term
4x² + 2x + 10x + 5 ( factor the first/second and third/fourth terms )
= 2x(2x + 1 ) + 5(2x + 1) ← factor out (2x + 1) from each term
= (2x + 1)(2x + 5), thus
4x² + 12x + 5 = (2x + 1)(2x + 5) and
8x² + 24x + 10 = 2(2x + 1)(2x + 5) ← in factored form
Difference between two things known as equation and expression.
Y=3x-(1/4)
To find the inverse, flip x and y and solve for y.
x=3y-(1/4)
x+(1/4)=3y
(x+ 1/4)/3= y
Final answer: y= (x+1/4)/3
The x+ 1/4 should have both terms over 3.
