Answer:
Step-by-step explanation:
The given function is:
We have to find the value of the function at x = -5/3
In order to do this we need to replace every occurrence of x in the given function by -5/3. i.e.
Thus, the value of the function at x =-5/3 is
Answer:
2.3
Step-by-step explanation:
Using SOH CAH TOA, we can label CB as the alternate side seeing as it's opposite to the known angle 50 degrees. We know AB is the hypotenuse since it's the longest side. Therefore CA must be the alternate side.
Since we want to know BC, and we know information about AB, we need to use the use of the hypotenuse and the opposite. In SOH CAH TOA, SOH uses both of these.
Using S O H, we understand that sin(50) * 3 = CB
Therefore CB = 2.3 to 1 decimal place.
Answer:
Independent measures, or repeated measures,
Step-by-step explanation:
I would use those experimental designs because it is used to compare different participants over a length of time.
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
- 6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
- 12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
<u>Slopes equal:</u>
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
<u>y-intercepts equal:</u>
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Solve the equation by isolating the variable you're solving for on one side of the equation and get everything on the opposite side.
The x variable is being square and is being subtracted by 64.
Find the inverse of all of these operations.
First, get rid of the subtraction operation. The inverse of subtraction is addition.
Add 64 to both sides of the equation.
Now the variable x is only being squared. Reverse this operation by using the inverse of exponents.
Take the square root of both sides.
So, x is equal to 8.
