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:
x = 23
Step-by-step explanation:
Step 1: Write out equation
(58 - x) - (x) = 12
Step 2: Distribute negative
58 - x - x = 12
Step 3: Combine like terms
58 - 2x = 12
Step 4: Subtract 58 on both sides
-2x = -46
Step 5: Isolate <em>x</em> (divide both sides by -2)
x = 23
Split the second term in 5x^2 + 23x + 26 into two terms
5x^2 + 13x + 10x + 26
Factor out common terms in the first two terms, then in the last two terms
x(5x + 13) + 2(5x + 13)
Factor out the common term; 5x + 13
<u>(5x + 13)(x + 2)</u>
Answer:
Step-by-step explanation:
Rewrite -x-2y= -10 as -2y= x - 10 and then as y = (-1/2)x + 5.
Then choose any 3 x values and find the corresponding y values using this formula. For example:
x y = (-1/2)x + 5 (x, y)
----- -------------------- ---------
0 5 (0, 5)
-4 (-1/2)(-4) + 5 = 7 (-4, 7)
6 (-1/2)(6) + 5 = 2 (6, 2)
Plot these three points and then draw a line through them.
Answer:
These are all the same questions with one answer. 0.6 is greater than 0.571. Therefore, 3/5 is greater than 4/7 and the answer to the question "Is 3/5 greater than 4/7?" is yes.
Step-by-step explanation:
