Answer:
A
Step-by-step explanation:
the answer is a :
6 4/5+√9/4
Answer:
Step-by-step explanation:
This might be easier to do in decimals. Let's try it.
3/5 = 0.6
1/10 = 0.1
rate = holes / hours
rate = 0.6/0.1
rate = 6 holes per hour
Try it with fractions.
rate =
Invert and multiply the 1/10
rate =
= 30/5 = 6
It's the same answer. Pick the method that you feel most comfortable with.
The given equations are y= 6x^2+1 and y=x^2+4
Both the equations equal y so we can make them equal
6x^2+1=x^2+4
To bring x term on one side we subtract x^2 both sides
6x^2-x^2+1=4
5x^2+1=4
To isolate x term we subtract 1 both sides
5x^2=4-1
5x^2=3
Dividing by 5 both sides
X^2=3/5
Taking root of both sides we have:
X=±√⅗
Substituting x value to find y
When x=+√⅗=0.7745
Y= 6x^2+1
Y=6(3/5)+1
Y= 18/5+1
Y=23/5 =4.6
When x= -√⅗=-0.7745
Y= 6(3/5)+1
Y=23/5=4.6
Point of intersections are ( 0.7745,4.6) and (-0.7745,4.6)
Solving for a variable means to rewrite the equation so that the desired variable is alone on one side. So, we have to "move" all the other variables/constants in order to make this happen. We are allowed to add/subtract the same quantity from both sides, or to multiply/divide both sides by any non-zero number.
Let's start with the first example: we are given
11. 
the variable
is not alone on the right hand side because it is multiplied by
. We can reverse this by dividing both sides by
: the equation becomes

So, we have written the equation as
, which means that
now sits alone on one side of the equation, and thus we have solved the equation for
!
Similarly, we do all the others:
12. 
Subtract
from both sides to get

13. 
Subtract
from both sides to get

Now divide both sides by
to get

14. 
Multiply both sides by 2:

Divide both sides by
:
