Let the first integer be x. Then the next consecutive integer is x+1.
Translating the word problem into symbols, x(x+1)-20(x+1) = 442.
Then x^2 + x - 20x - 20 = 442
or x^2 - 19x - 462 = 0
Solve by completing the square:
x^2 - 19x + 90.25 - 90.25 - 462 = 0
(x-9.5)^2 - 552.25 = 0
Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33
The two consecutive integers are 33 and 34.
Check: (33)(34)-20(34) = 442 (as expected).
Answer:option B & D are correct
Step-by-step explanation:
Given options are
A B C D E
Tether ball pole shadow 1.35 1.8 3.75 0.6 2
Flagpole shadow 3.4 4.08 8.35 1.36 4.8
Ratio of corresponding height & shadows should be same
3 meter tall tether ball pole and a 6.8 tall flagpole
=> Ratio = 6.8/3 = 68/30 = 34/15
A - 3.4/1.35 = 340/135 ≠ 34/15( 306/135)
B - 4.08/1.8 = 408/180 = 34/15 = 34/15 ( Correct option)
C 8.35/3.75 = 835/375 = 167/75 ≠ 34/15( 170/75)
D 1.36/0.6 = 136/60 = 34/15 = 34/15 ( Correct option)
E 4.8/2 = 48/20 = 12/5 = 36/15 ≠ 34/15
option B & D are correct
Answer:
Consider the function f (x) = (x +4) (x + 2).
Step-by-step explanation:
so I need to do a list of numbers like this:
98, 100, 102, 104, 106, 108, 110.
104 is the median number
add 98+100+102+104+106+108+110=728
divide by seven 728 / 7 = 104
so the difference between the median 104 and the avarage 104 is 0 they are
104=104
hope this helps
Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
