If you look at the sequence, you would observe:
5 - 2 = 3, 8 - 5 = 3, 11 - 8 = 3.
There is a common difference of 3, so the sequence is an Arithmetic Progression.
nth term of an AP = a + (n - 1)d
where a = 1st term = 2, d = common difference = 3
nth term of an AP = a + (n - 1)d
nth term of an AP = 2 + (n - 1)*3 = 2 + 3*n - 3*1 = 2 + 3n - 3
= 2 - 3 + 3n
= -1 + 3n
= 3n - 1
The nth term = 3n - 1, where n = 1, 2, 3, 4, 5,....
I hope this explains it.
The slope-intercept form of a line is:
Where m is the slope and y is the y-intercept:
To find q (y-intercept), substitute the coordinates of the point (9, -4) in the equation of the line and solve it as an equation:
-4=3(9)+q
-4=27+q
q=-27-4=-31
The equation of the line is: y=3x-31
Answer:
Answer is m∠4=40
Step-by-step explanation:
take note that m∠6 & m∠7 are vertical angles. Vertical angles are equal to each other, therefore m∠6 is equal to m∠7.
m∠6 = m∠7 (vertical angles)
11x + 8 = 12x – 4
12x - 11x = 8 + 4
x = 12
so
m∠6 = 11x + 8
m∠6 = 11(12) + 8
m∠6 = 132 + 8
m∠6 = 140
m∠4 = 180 - m<6
m∠4 = 180 - 140
m∠4 = 40
Answer:
the number of cookies that are oatmeal cookies is 24
Step-by-step explanation:
Given that
There are 64 cookies in a jar
And, the probability of randomly selecting the oatmeal cookies is 37.5%
We need to find out the number of cookies that are oatmeal cookies
So, the number of cookies that are oatmeal cookies are
= 64 cookies × 37.50%
= 24 cookies
hence, the number of cookies that are oatmeal cookies is 24
You would just write f(x) (f of x) in for y: f(x) = 7x + 8.
Hope it helps.
