Answer:
D.
.
Step-by-step explanation:
Given:
We need to reduce
by 
Solution:
To reduce the equation means we need to subtract the one equation from other.
First we will arrange the equation n proper format we get;
⇒ equation 1
Also Arranging other equation we get;
⇒ equation 2
Now we will subtract equation 2 from equation 1 we get;

Now Applying distributive property for the sign we get;

Now Arranging the like terms we get;

Hence the reduce form of the given equation is
.
9514 1404 393
Answer:
t = 3-√7 and 3+√7 seconds after launch
Step-by-step explanation:
You want to find the values of t that make h=10.
10 = 30t -5t^2
t^2 -6t = -2 . . . . . divide by -5
t^2 -6t +9 = 7 . . . add 9 to complete the square
(t -3)^2 = 7 . . . . . write as a square
t -3 = ±√7 . . . . . . take the square root
t = 3 ±√7 . . . . . . values of t for which height is 10 meters
__
These values are about 0.354 seconds, and 5.646 seconds.
Answer:
B
Step-by-step explanation:
Answer:
Justification of 'Cost of Match , based on attendants' linear equation
Step-by-step explanation:
Yes , this linear equation might hold right in denoting total cost 'y' for 'x' people attending racing event
Given equation : y = 13x + 80
Cost 'y' is the variable dependent on explanatory variable ie no. of race attendants. So, <em>y</em> is on LHS, being determined by <em>x</em> on LHS.
80 is the autonomous constant intercept of equation, denoting fixed setup cost irrespective of no. of attendants. +13x denotes every additional attendant increases cost by 13 units (above the level of fixed cost), this is the positive slope of equation (as variables are directly related)
Answer:
There is no solution to this system.
Step-by-step explanation:
The left side of the first equation is 3 times the left side of the second one.
If we multiply the whole of the second equation by 3 we get:
3x - 6y = -16.
As the first equation is 3x - 6y = -12 we see that there is no solution to this system. 3x - 6y can't be equal to -12 and -16.