Hello :
x²-8x+15 = (x-3)(x-5)
<span>h(x) = f(x) ÷g(x) = (x-3)(x-5)/(x-3)= x-5</span>
y = - x + 3
the equation of a line in slope-intercept form is
y = mx +c ( where m is the slope and c the y-intercept )
rearrange x + 4y = 12 into this form
subtract x from both sides
4y = - x + 12 ( divide all terms by 4 )
y = - x + 3 ← in slope-intercept form
Given:
The length of your family's garden is 3 feet greater than the width.
The area of the garden is 460 square feet.
To find:
The dimensions of the garden.
Solution:
Let x feet be the width of the garden. Then,
Length = feet
The area of a rectangle is:
Where, l is the length and w is the width of the rectangle.
The area of the rectangular garden is:
It is given that the area of the garden is 460 square feet.
Putting , we get
Splitting the middle term, we get
The width of a garden cannot be negative. So, .
Now,
Therefore, the length of the garden is 23 feet and the width of the garden is 20 feet.
Answer: y = 800
Step-by-step explanation:
3(y + 200) = 3000
3y + 3(200) = 3000
3y + 600 = 3000
3y = 2400 [Subtract 600 from both side]
y = 800 [Divide 3 in both side to solve for y]