Answer:
2
4
6
8
3
6
9
12
Step-by-step explanation:
domain is the x of ordered pair or the first number in ordered pair (number on x-axis)
range is the y of ordered pair or the second number in ordered pair (number on y-axis)
Answer:
a = 1 and b = 14 or a = 14 and b = 1
Step-by-step explanation:
This means that ab = 14 and a + b = 15. Simple guess and check reveals (1, 14) or (14, 1).
The perimeter is given by:
P = 2x + 2y = 28
The area is given by:
A = x * y
Writing the area based on x we have:
A (x) = x * (14-x)
Rewriting:
A (x) = 14x-x ^ 2
Deriving we have:
A '(x) = 14-2x
We equal zero and clear x:
14-2x = 0
x = 14/2
x = 7
We are now looking for the other dimension:
y = 14-x
y = 14-7
y = 7
Answer: The length and width of a rectangle that has the given perimeter and a maximum area are:
y = 7 meters
Hello,
Part A:
f(2)=4*2²=16
f(1)=4*2^1=8
2-1=1
(f(2)-f(1))/(2-1)=(16-8)/1=8 ; r_1=8
f(3)=4*2^3=32
f(4)=4*2^4=64
(f(4)-f(3))/(4-3)=(64-32)/1=32 ; r_2=32
Part B:
r_2=32=4*8=4*r_1
Explainations:
(4*2^2-4*2^1)/(2-1)=4*2^1(2-1)=4*2
(4*2^4-4*2^3)/(4-3)=4*2^3*(2-1)=4*8=(4*2)*4
Answer:
4
Step-by-step explanation:
<u>Step 1: Find the constant
</u>
A constant is a number in a function that never changes. In this example: 2x^2 + 4x + 7, the constant is 7.
Therefore, the constant in 6x^3y + 7x^2 + 5x + 4
The answer is 4 beause it never changes.
Answer: 4