Answer:
a = 15
b = -14
Step-by-step explanation:
Here, we want to solve by elimination
let us start by rewriting the first equation
We can do this by multiplying through by 10
We have this as;
2a -5b = 100
Now let us eliminate
Multiply equation ii by 2 and equation i by 1
2a -5b = 100
2a-2b = 58
Subtract equation ii from i
-3b = 42
b = 42/-3 = -14
Secondly;
Multiply equation ii by 5 and i by 1
2a - 5b = 100
5a -5b = 145
Subtract ii from i
-3a = -45
a = 45/3
a = 15
$1400 = $4000 × 7 × r / 100
$1400 = 28000 × r / 100
$ 1400 = $ 280 × r
rate = $1400 ÷ $ 280
rate = 5
Answer:

Step-by-step explanation:
we are given a quadratic equation
Let's assume formula of vertex form of parabola as

where vertex is (h,k)
we are given
vertex =(11,-2)
so, h=11, k=-2
now, we can plug it

now, we are given zeros at x=10 and x=12
we know that zeros will be x=10 , y is 0
so, we can plug x=10 and y=0 and solve for 'a'



now, we can plug it back
and we get

so, we get quadratic equation as

If you mean in Roman numerals,it would be ___.VII. or it could be ((DCC))