Answer:
-x2 + 5x
Step-by-step explanation:
See below.
The graphs are the same
The sequence is an arithmetic sequence with
a₁ = -4
d = a₂ - a₁
d = -1 - (-4)
d = -1 + 4
d = 3
an = x
Sn = 437
General formula in arithmetic sequence
Formula to find nth term
an = a₁ + d(n - 1)
Formula to find sum of sequence (sn)
Sn = n/2 (a₁ + an)
We have to make an equation system based on the problem
plug the numbers into the formula
First equation
an = a₁ + d(n - 1)
x = -4 + 3(n - 1)
x = -4 + 3n - 3
x = 3n - 7
Second equation
Sn = n/2 (a₁ + an)
n/2 (a₁ + an) = 437
n/2 (-4 + x) = 437
n(x - 4) = 874
xn - 4n = 874
Solve the equation system by subtitution method
Subtitute x with 3n - 7 in the second equation
xn - 4n = 874
(3n - 7)n - 4n = 874
3n² - 7n - 4n = 874
3n² - 11n - 874 = 0
(3n + 46)(n - 19) = 0
n = -46/3 or n = 19
Because the number of terms shouldn't be negative, -46/3 isn't required, so the value of n is 19.
Solve for x, back to the first equatin
x = 3n - 7
x = 3(19) - 7
x = 57 - 7
x = 50
The solution is 50
3/4 is a equivalent fraction for 6)8
Answer:
8
Step-by-step explanation:
<em>we have to follow PEDMAS.</em>
<u>what we have to do in each operation:</u>
Parenthesis ~ 100 + 8 to the second power
Exponents ~ 10 to the 2nd power, 8 to the 2nd power, 2 to the 3rd power
Multiplication ~ none
Division ~ 10 to the 2nd power - (100 + 8 to the second power) divided by 2 to the 3rd power
Addition ~ 100 + 8 to the 2nd power
Subtraction ~ 10 to the 2nd power - (100+8 to the second power)
<u>doing the work:</u>
we start with P: but in what we have to do in the Parenthesis, there is an exponent and addition. we do the exponent first. 8 to the second power is 64. now we can add. 100 + 64 = 164.
E: we did the 2nd exponent, but we need the other 2 for later. 10 to the 2nd power is 100, and 2 to the 3rd power is 8.
we can skip M because there isn't any multiplication to do.
D: we have to do 10 to the 2nd power - (100 + 8 to the second power) first. 100-164= 64. now we can devide. 64 devided by 8 = 8
A: we already did the addition in the parenthesis part.
S: we already did the addition in the parenthesis part.
Answer:
Step-by-step explanation:
4 “3” Cards in a Deck
52/2=26 Red Cards in a Deck
2/4 “3” Cards in a Deck are red so it would be 26-2=24 I think
