Can someone help? i cannot get this question right
1 answer:
Answer:
see below
Step-by-step explanation:
The function f(x) is the absolute value function scaled vertically and shifted up. Neither of those transformations affects the interval on which it is increasing. The absolute value function increases for x > 0. (It is neither increasing nor decreasing at x=0.)
__
The function g(x) is a parabola that opens downward. Consequently, it is increasing for all values of x to the left of its vertex (or line of symmetry). That line of symmetry can be found as ...
x = -b/(2a) = -(8)/(2·(-1)) = 4
So g(x) is increasing from -∞ to 4, but at x=4 is neither increasing nor decreasing.
__
Then the interval on which both functions are increasing is ...
{x > 0} ∩ {x < 4} = {0 < x < 4}
This will be graphed as a line between 0 and 4 with open circles at each end.
_____
The second attachment shows the two functions so you can see where their slopes are positive.
You might be interested in
Option a: multiply by 4.
Explanation:
The expression is
Dividing the two fractions which is the same as multiplying the first fraction by the reciprocal value of the second fraction.
Hence, it can be written as
Hence, is the quotient.
Option a: multiply by 4.
To determine the quotient, let us multiply the term by 4, we get,
Hence, is the quotient.
Thus, Option a is the correct answer.
Option b: multiply by
To determine the quotient, let us multiply the term by 4, we get,
is not the quotient. Since, the quotient is
which is not equivalent to
and hence we cannot multiply
by
Hence, Option b is not the correct answer.
Option c: multiply by
To determine the quotient, let us multiply the term by
, we get,
is not the quotient. Since, the quotient is
which is not equivalent to
and hence we cannot multiply
by
Hence, Option c is not the correct answer.
Option d: multiply by 4
To determine the quotient, let us multiply the term by 4, we get,
10 is not the quotient. Since, the quotient 10 which is not equivalent to and hence we cannot multiply
by 4.
Hence, Option d is not the correct answer.
We have been given a system of equations and
. We are asked to find the solution of our given system of equations.
To solve our system of equations, we will equate both equations as:
Upon substituting in equation
, we will get:
Therefore, the solution of our given system of equations would be and option A is the correct choice.