Answer:
Alice's age = 5 years
Malice's age = 5 years
Bob's age = 5+8 =13 years
Step-by-step explanation:
Let x be the age (in years of Alice and Malice (They have the same age because they are twins).
Age of Bob: x+8 (because he is 8 years older than the twins).
Then the sum of their three ages is 23:
x (Alice's age) + x (Malice's age) +(x+8 ) (Bob's age)= 23
2x + ( x+8) = 23
3x+8 = 23
3x = 15
(3x)/3 = 15/3
x = 5
So ...
Alice's age = 5 years
Malice's age = 5 years
Bob's age = 5+8 =13 years
Answer: It is consistent as the lines are intersecting lines and it has a unique solution
Step-by-step explanation:
Since we have given two systems of equation :
We need to check whether the system of equations is consistent or inconsistent.
As we know the formula for checking the consistency :
In first equation we have
similarly,
In the second equation we have
So, According to question, we have
Hence, it is consistent as the lines are intersecting lines and it has a unique solution.
Answer:
1)12 2)
Step-by-step explanation:
Problem 1:
a(5)=25 a(3)=13
a(5)-a(3)=25-13=12
mark brainliest
Answer:
f(x)=-3.5x²+2.7x - 8.2
Step-by-step explanation:
We have given:
a = -3.5 , b=2.7 and c= -8.2
We have to write quadratic function in standard form.
We know that the standard form of quadratic function is:
f(x)=ax²+bx+c
where a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
We have the values a= -3.5 , b = 2.7 and c = -8.2
Substitute the values in the standard form:
f(x)=-3.5x²+2.7x - 8.2
Therefore the answer is: f(x)=-3.5x²+2.7x - 8.2 ....
