Given the system of equations:
To solve it by substitution, follow the steps below.
Step 1: Solve one linear equation for x in terms of y.
Let's choose the second equation. To solve it for x, add 3y to each side of the equations.
Step 2: Substitute the expression found for x in the first equation.
Step 3: Isolate y in the equation found in step 2.
To do it, first, add 48 to both sides.
Then, divide both sides by 15.
Step 4: Substitute y by 5 in the relation found in step 1 to find x.
Answer:
x = -9
y = 5
or (-9, 5)
Also, you can graph the lines by choosing two points from each equation, according to the picture below.
I’m pretty sure the answer is A.
The exponent 1/2 represents a square root. The number on top of the fraction is the and the denominator represents the index of the radical.
Answer:
i) superset (A)
ii) 0.577 (A)
Step-by-step explanation:
i) A subset is a set which has all its elements contained in another set.
For two sets A and B, if each element of set A is an element of set B, then A is a subset of B.
A superset is a set that houses another set. So if set A is a subset of set B, then B is a superset of A.
Proper subset
For a set (A) to be a proper subset of another (B) every element of A would be in B but there exists at least one element in B that is not in A.
An Empty Set (or Null Set) doesn't have aren't any elements in it. It is empty.
Since every element of the superset is in the superset. Therefore, A superset contains all the subset of superset.
ii) Square root of 1/3 = √⅓
= ± √⅓ = +√⅓ or -√⅓
+√⅓ = +(√1/√3) = +(1/√3)
+√⅓ = +(1/1.7321)
+√⅓ = +0.577
Therefore Positive square root of 1/3 is 0.577 (A)
Let say the number of the months is t, the total amount of depo is a and a0 is the initial amount of money deposited. You can put it like this:
a= f(t) = a0 + x*t
You can solve the equation by inserting two of any t value. If you use f(8)-f(4) it will be
a0+ x(8)= 2500
a0+ x(4)= 1500
___________-
8x- 4x= 1000
4x= 1000
x=250
Then the new equation would be:
a= a0 + 250*t
Putting f(4) value you can find a0
1500= a0+ 250*4
a0=1500-1000=500
The final equation would be
a= 1000+ 250*t
