Answer: (-9,6)
Step-by-step explanation:
3x+2y=-15
2x=-18
First solve for x in second equation
2x=-18
2x/2=-18/2
X= -9
Now substitute your x into first equation to find y
3(-9)+2y= -15
-27+2y=-15
2y= -15+27
2y= 12
2y/2=12/2
Y= 6
Answer:
y = 40
Step-by-step explanation:
Lets make an equation to represent the sum of the angles:
We know that the sum of angles of triangles equals 180 degrees. So based on this knowledge, the equation is :
2y + y + 10 + 50 = 180
Now we simplify:
2y + y = 3y
10 + 50 = 60
So our new equation is 3y + 60 = 180
Now all we have to do is simplify:
3y + 60 = 180
3y + 60 -60 = 180 - 60
3y = 120
3y / 3 = 120 / 3
y = 40
So the answer is 40 hope this helped
The number 4000 is 400 times greater than the the number 10.
Answer: Domain =
Range = 
Step-by-step explanation:
Here, the given function,

Since log( negative number ) = not defined
Also,

Hence, f(x) is defined if x - 1 > 0
⇒ x > 1
Thus, f(x) is defined for all the values that are greater than 1,
⇒ Domain of f(x) = All real number greater than 1,
= 
Now, for the interval
,
f(x) can be any real number.
Thus, the range of the given function = 
Answer:

Step-by-step explanation:
Given the amount of tons of steel produced monthly by a factory to be 6000 5/12 tons, to determine their daily production, we need to use the conversion;
Maximum of 31 days = 1 month
This means that the steel company produces 6000 5/12 tons of steel in 31 days.
6000 5/12 tons = 31 dsays
72,005/12 tons = 31 days
in a day, the company will therefore produce approx. (72,005/12)/31 tons of steel.
(72,005/12)/31 = 72,005/12 * 1/31
= 72,005/12*31
= 72,005/372
= 193 209/372 tons of steel.
Hence, the factory produces about
tons of steel daily