Answer:
Step-by-step explanation:
We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.
<u>We can compare this with simple quadratic sequence </u>
<u>and find out that doubling each term gives us </u>
This is close to our sequence, write the terms as follows to find exact rule
<u>The first term: </u>
- a₁ = 4 = 2*1² + 2 = 2*1² + 1 + 1
<u>The second term</u>
- a₂ = 11 = 2*2² + 3 = 2*2² + 2 + 1
<u>The third term:</u>
- a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1
<u>The fourth term:</u>
- a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1
<u>The nth term as per observation above is:</u>
23-13=10
Prime numbers : A whole number greater than 1 that can not be made by multiplying other whole numbers Prime numbers between 1 to 100 : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97 So, The two numbers whose difference is 10 are 13 and 23 23-13=10
Answer:
y = 2x - 3
Step-by-step explanation:
to do this problem, we will use the following formula to find the slope of the line
(y2 - y1) / (x2 - x1)
(1,5) (2,7)
(7 - 5) / (2 - 1)
2 / 1
2 = m
next, we will substitute the slope and one of the points into the slope-intercept form (y = mx + b) and solve for b to find the y-intercept
y = mx + b
7 = (5)(2) + b
7 = 10 + b
-3 = b
finally, we put it all together into one equation
y = 2x - 3
Answer:
7z
Step-by-step explanation:
I think its easier to work out part (c) first:-
People who liked anything except burger = 3/8 + 1/4 + 1/5 = 33/40
So the fraction who liked burgers = 7/40.
7/40 of the total liked burgers so total people surveyed = (40/7) * 126 = 720
ANswer to c is 720.
a) Number who liked chicken and laksa = (3/8 + 1/4) * 720 = 450 Answer
b) Number who liked pasta = 1/5 * 720 = 144
Therefore 144-126 = 18 more people liked pasta than burger , Answer.
