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Step-by-step explanation:
If it's most likely A. or B.
Correct me if I'm wrong.
But, I hope this helps!
The equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.
<h3>What is linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two equation of the line:
y = -x -3 and
5y + 5x = -15
From the equation 5y + 5x = -15:
Divide by 5 on the above equation:
y + x = -3
or
y = -x -3
The two equations y = -x -3 represents the same line.
Thus, the equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.
Learn more about the linear equation here:
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Answer:
The domain of function (m.n)x is same as domain of function m(x).
Step-by-step explanation:
Domain: Any set of input values for which the function is defined and valid.
m(x)=x+5/x-1
Domain of m(x) is x>1 or x<1, x≠1, because if x=1 the function will be undefined.
n(x) = x – 3
Domain of x -3 is -∞<x<∞ i.e all real numbers
(m.n)x = (x+5/x-1)(x-3)
= (x+5)(x-3)/x-1
The Domain of (m.n)x is x<1 or x>1 or x≠1 because the function is undefined for x=1
So, the domain of function (m.n)x is same as domain of function m(x).
Answer:
An expression for Francisco's age in terms of a is (2a+3)
An expression for Harrison's age in terms of a is (3a-2)
An expression for the sum of all three ages, in terms of a is (6a+1)
Step-by-step explanation:
Let
a -----> Jenna's age
b -----> Francisco's age
c -----> Harrison's age
we know that
Francisco's age is two times Jenna's age plus three years
b=2a+3 -----> equation A
Harrison's age is three times Jenna's age minus two years
c=3a-2 ----> equation B
The sum of all three ages, in terms of a is
(a+b+c) -----> equation C
substitute equation A and equation B in equation C
a+(2a+3)+(3a-2)
Combine like terms
(a+2a+3a)+(3-2)
6a+1
therefore
An expression for Francisco's age in terms of a is (2a+3)
An expression for Harrison's age in terms of a is (3a-2)
An expression for the sum of all three ages, in terms of a is (6a+1)
