Taylor has $20 to spend on school supplies. A pack of
1 answer:
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Answer:
Second point (-5/2, -7/2)
First point (3/2, 17/2)
Step-by-step explanation:
We have two equations, and we want to know at wich poin are equal. Hence, we have a system of equations and the solution is nothing more that the point (x,y) where those functions intercepts.
4x2+ 7x -11=y
3x+4=y
Lets use substitute method
4x2+7x-11=3x+4
This can be re arrange as the following eq:
4x2+4x-15=0
A quadratic equation, its solution can be obtained using the below eq.
where a=4, b=4, c=-15.
Remember, the quadratic equation as a +/- sign, meaning that you will obtain one answer using the + operator and other using the - operator.
By doing the above, we have x=-5/2 and x=3/2
By using x=3/2 in equation of line (3x+4=y) we have y=17/2
First point (3/2, 17/2)
By using x=-5/2 in equation of line (3x+4=y) we have y= -7/2
Second point (-5/2, -7/2)
Those points are the ones where the line and the parabola intercept.
Answer:
D is correct. ( 4m - 5 ) + ( -6m + 7 - 2n )
Step-by-step explanation:
We are given a difference of two polynomial
(4m-5) - (6m-7+2n)
We need to choose correct choice which is equivalent to given expression.
Here we have minus sign between two parentheses.
First we distribute minus sign over (6m-7+2n) using distributive property.
Minus sign will distribute with each term inside (6m-7+2n).
When it will distribute it changes the sign of each term inside the parentheses.
After distribution we get
( 4m - 5 ) + ( -6m + 7 - 2n )
Thus, D is correct option which is similar to given expression.