Answer:
(x - 7)(x - 4)(x + 4).
Step-by-step explanation:
A(x) = x3 – 7x² – 16x +112
Dividing by x-7:
x^2 - 16 <-------- Quotient
-----------------------------
x-7)x^3 - 7x^2 - 16x + 112
x^3 - 7x^2
0 - 16x + 112
- 16x + 112
..............
so A(x) = (x - 7)(x^2 - 16) x^2 - 16 is the difference of 2 squares so we have:
(x - 7)(x - 4)(x + 4).
Checking by expanding the brackets:
(x - 7)(x - 4)(x + 4)
= x(x - 4)(x + 4) - 7(x - 4)(x + 4)
= x(x^2 - 16) - 7(x^2 - 16)
= x^3 - 16x - 7x^2 + 114
= x^3 - 7x^2 - 16x + 112
A) AB is parallel CD from graphic;
b) m AB = (3-1)/(2-0) => m AB = 1; m CD = (7-5)/(6-4) => m CD = 1 => m AB = m CD => AB is parallel CD;
Answer:
Step-by-step explanation: It would take him 15 minutes more to mow the whole yard
1/2 hour is 30 mins divided by 2 which is 15 mines times 3 is 45 mins total mins
The equation is L = 34 – 0.5d for the water level, L, after d days
<h3><u>Solution:
</u></h3>
Given that , Suppose that the water level of a river is 34 feet
And that it is receding at a rate of 0.5 foot per day.
We have to write an equation for the water level, L, after d days
The equation can be framed for water level after d days which is found by calculating difference between initial level and receding level of water per day
Now , we know that,
<em>water level after d days = initial level – receded level of water.
</em>
L = 34 feet – number of days spent x rate of receding level per day.
L = 34 feet – d days x 0.5 foot
L = 34 – 0.5d
Hence, the equation is L = 34 – 0.5d
Answer:
4/6
Step-by-step explanation:
14-10
-------- = 4/6
12-6
