Answer:
x = 1 ,or x = -7
Obviously, the true answer is not in the options given.
Step-by-step explanation:
x² + 6x - 6 = 10
The above equation can not be factorized, hence the use of Almighty Formula.
x = [-b +- √b² - 4ac] / 2a
Where a = 1, b = 6, c = -6
x = [-6 +- √6² - (4*1*-6)] / 2*1
x = [-6 +- √36 - (-24)] / 2
x = [-6 +- √36 + 24] / 2
x = [-6 +- √60] / 2
x = [-6 +- 7.75] / 2
x = [-6 + 7.75] / 2 ,or x = [-6 - 7.75] / 2
x = 1.75/2 ,or x = -13.75/2
x = 0.875 ,or x = -6.875
Approximately
x = 1 ,or x = -7
#1:
Solve:
-5/12 x 8/13 = -40/156
-40/156 can both be divided by 4: 40 ÷ 4 = 10 & 156 ÷ 4 = 39
Your final answer is: Option 2, -10/39
#2
Solve:
3/8 x (-3/6) you can first simplify 3/6 into 1/2 so-- 3/8 x (-1/2) = -3/16
Your answer is: -3/16
I've solved two of them for you, can you solve the rest on your own? (Reply if you need more answers)
Answer:
C(t)=5000 -10t
Step-by-step explanation:
There are many examples in the real world of relationships that are functions.
For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.
If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:

Where:
C (t): Amount of water in the tank as a function of time
: Initial amount of water in the tank at time t = 0
a: amount of water lost per hour
t: time in hours
Then the equation is:
The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.
Its domain is the set of all positive real numbers t between [0,500]
Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty
Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres
Answer:
1/6
Step-by-step explanation:
There are 6 numbers on a dice
1,2,3,4,5,6
the even numbers are 2,4,6
so there are 3/6 chance of getting an even number
3/6=1/2
5 and 6 are the two numbers greater than 4
so there are 2/6 chance of getting a number greater than 4
2/6=1/3
So for both to happen chance = 1/2 × 1/3
= 1/6
Answer:
-4
Step-by-step explanation:
First find 2 points (look at graph)
(0,2) and (2,-6)
= 
= 
= -4
Slope is -4