The value of f(6 + h) − f(6) is 36 + 6h - g^2 - 2gh - h^2.
Given,
f(x) = 6x − x2
We need to find f(6 + h) − f(6)
We have,
f(x) = 6x − x2
Find f(6 + h)
f(x) = 6x - x^2
Putting x = 6 + h
f(6+h)
= 6(6+h) - (g+h)^2
= 36 + 6h - (g^2 + 2gh + h^2)
= 36 + 6h - g^2 - 2gh - h^2 ________(A)
Find f(6)
f(x) = 6x - x^2
f(6)
= 6(6) - 6^2
= 36 - 36
= 0 ________(B)
Find f(6 + h) − f(6)
From A and B
= 36 + 6h - g^2 - 2gh - h^2 - 0
= 36 + 6h - g^2 - 2gh - h^2
Thus the value of f(6 + h) − f(6) is 36 + 6h - g^2 - 2gh - h^2.
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Hello!

Use PEMDAS (order of operations) to solve:
-4 · [3 + (-5)²] ÷ 7
Square -5:
-4 · [3 + 25] ÷ 7
Add the numbers inside of the parenthesis:
-4 · [28] ÷ 7
Multiply -4 and 28:
-112 ÷ 7
Divide:
= -16.
Answer:
Maybe 2500 i dont know i forgot
Step-by-step explanation:
Answer: point F is at <u> 0.6 </u> on the number line
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Explanation:
The ratio 2:3 scales up to 2x:3x for some positive real number x.
This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.
D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9
Set this equal to the 5x from earlier and solve
5x = 9
x = 9/5
x = 1.8
This leads to 2x = 2*1.8 = 3.6
Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.
Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.
Answer:
The correct equation is "y=30x+6147". A further explanation is given below.
Step-by-step explanation:
The given values are:
(x1, y1) = (50, 7647)
(x2, y2) = (100, 9147)
As we know,
The slope is,
⇒ 
On substituting the given values, we get
⇒ 
⇒ 
⇒ 
Now,
⇒ 
On substituting the given values in the above equation, we get
⇒ 
⇒ 
On adding "7647" both sides, we get
⇒ 
⇒ 