Answer:
Only one extreme value of f(x) is possible.
Step-by-step explanation:
We are given the quadratic function of independent variable x which is f(x) = x² - 7x - 6 ......(1)
Now. the condition for extreme values of f(x) is 
Hence, differentiating both sides of equation (1) with respect to x, we get
= 0
⇒ x = 3.5.
So there is only one value of x for which f(x) has extreme value which is x = 3.5.
Therefore, only one extreme value of the given function is possible. (Answer)
Solid circle over 3 line going left
Answer:
-3
Step-by-step explanation:
The slope of a line can be calculated with the formula (y2-y1)/(x2-x1)
In this case we have:
(-4-(2))/(7-5)
(-6)/(2)
-3
Let me know if this helps!
Answer:
Step-by-step explanation:
The nth term for the geometric sequence is given by:
where,
is the first term
r is the common ratio
n is the number of terms.
As per the statement:
For the geometric sequence of 
and r=2
We have to find 
for n = 5;
Substitute the given values we have;
⇒
Therefore, the value of is, 32
Complete question is;
An architect plans to build an extension to meiling's rectangular deck. Let x represent the increase, in meters, of her deck's length. The expression 4(x+8) represents the area of the deck, where 4 is the width, in meters, and (x+8) represents the extended length, in meters. Use distributive property to write an expression that represents the total area of meilings new deck.
Answer:
4x + 32
Step-by-step explanation:
We are told that the expression 4(x+8) represents the area of the deck.
Also, that 4 is the width, in meters, and (x+8) represents the extended length, in meters.
Thus, area is;
A = 4(x+8)
Using distributive property simply means we will distribute the term outside the bracket to each term inside the bracket.
Thus;
A = (4 * x) + (4 × 8)
A = 4x + 32
