Answer:
see explanation
Step-by-step explanation:
To find the y- intercept let x = 0 in the function
g(0) = 0 - 0 - 84 = - 84 ← y- intercept
To find the x- intercepts let y = 0, that is
x² - 5x - 84 = 0
To factor the quadratic
Consider the factors of the constant term (- 84) which sum to give the coefficient of the x- term
The factors are - 12 and + 7, since
- 12 × 7 = - 84 and - 12 + 7 = - 5, thus
(x - 12)(x + 7) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
x + 7 = 0 ⇒ x = - 7
x- intercepts are x = - 7 and x = 12
if the figures perimeter is 18 units, and the width of the figure is 5 units. I am guessing the figure is a rectangle
where the width is 5 units, and 2 of the sides have 2 be the same 2 be a rectangle, than the width on each side is 10 units all together
18-10= 8
if the figure is a rectangle then that means there are 2 sides left of equal length so if we divide our current number (8) by 2 then we will have the length of each side (4)
8 divided by 2= 4
width= 5
length= 4
Answer:
This is the equation of a line with slope of 1 and the intercept point wit the 'y' axis is (0, 1.5)
Step-by-step explanation:
Lines have the following equation: y=mx+b, where 'm' is the slope and b is the interception with 'y' axis when 'x'=0
The attached pictures shows the equation of the line in a graph
Answer:
32
Step-by-step explanation:
If one side is 2 feet and it has 4 sides then 4 times 2 = 8
8 times 4 = 32
Hope this helps
Answer:
(4x + 5)(x² + 25)
Step-by-step explanation:
Given
4x³ + 5x² + 100x + 125 ( factor the first/second and third/fourth terms )
= x²(4x + 5) + 25(4x + 5) ← factor out (4x + 5) from each term
= (4x + 5)(x² + 25)