Answer:
f(x) has a minimum value of -10.
Step-by-step explanation:
It will have a minimum value because the coefficient of x^2 is positive.
To find its value we convert to vertex form:
f(x) = 4x^2 - 16x + 6
= 4(x^2 - 4x) + 6
= 4[(x - 2)^2 - 4] + 6
= 4(x - 2)^2 - 16 + 6
= 4(x - 2)^2 - 10.
So the minimum value is -10.
Answer:

Step-by-step explanation:
we know that
In a parallelogram opposite sides are congruent
In this problem
we have that
AB and DC are opposite sides
AD and BC are opposite sides
so
AB=DC
AD=BC
step 1
Find the value of x
AB=DC
substitute the given values

solve for x



step 2
Find the length of AD
we have that

substitute the value of x

step 3
Find the length of BC
Remember that
AD=BC ----> by opposite sides
therefore

Answer:
100 texts
Step-by-step explanation:
Let the amount of text messages be x. Since we are looking at making both plans equal, we add the fixed monthly charges to the number of messages multiplied by the cost.
The total amount charged by Totally will be 30 + 0.2x
The total amount charged by Gnarly will be
40 + 0.1x
Now since we are trying to get the number of text messages that make both charges equal, we equate the two charges and that is:
30 + 0.2x = 40 + 0.1x
40 - 30 = 0.2x - 0.1x
0.1x = 10
x = 10/0.1 = 100 texts
Answer:
x+5
Step-by-step explanation:
Simply it so it is
(x+5)(x+5)/(x+5)
And then you will take out the (x+5) from the numerator and denominator to get the answer.