68 is the 22nd term of the following sequence.
<u>Step-by-step explanation:</u>
- The given sequence is with the same common difference between the two consecutive number in the series thus it is said to be the Arithmetic progression ( AP).
- For finding the nth term in the AP we have a formula tn = a + (n-1) × d
- Here a is the first term , n is the number of the term to be founded and d is the common difference between the two consecutive number in the series.
- Thus here tn = 5 + ( 22 - 1 ) × 3.
- On subtracting we get tn = 5 + (21 ) × 3
- On multiplying we get tn = 5 + 63
- After adding we get tn = 68. It is the 22nd term in the given series.
Answer:
-5 and initial value is -1
Step-by-step explanation:
Slope= y2-y1/x-x1
-11-(-1)/2-0
-10/2
-5
Initial value is y-intercept where x is 0 (0,y)
so
(0,-1) is starting point
Answer:
Michael worked 4 hours and Landon worked 10 hours.
Step-by-step explanation:
Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:
40x+20y=360
40x+20y=360
Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.
x+y=14
Write System of Equations:
40x+20y= 360
x+y=14
Solve for y in each equation:
40x+20y = 360 x+y = 14 20y = -40x+360
=
y = -2x+18
Answer:
A = 1 , 1 , 
Step-by-step explanation:
Given equation as
(2a -5) (a² -2a +1) = 0
Or, (2a - 5) (a - 1 )² = 0
Or, (2a - 5) (a - 1) (a - 1) = 0
So, value of a are :
2a - 5 =0, a - 1 =0, a- 1 = 0
i.e a =
and a = 1 , 1
Answer
a) –a + b is negative
b) a – b is positive
c) b-a is negative
Step-by-step explanation:
1. Suppose a and b are real numbers where a > 0 and b < 0.
a. Is –a + b positive or negative. Explain how you know.
We know a > 0 and b < 0. so, let a =6 and b = -5
Putting values:
–a + b
= -(6)+(-5) = -6-5 = -11
So, –a + b is negative
b. Is a – b positive or negative? Explain how you know.
We know a > 0 and b < 0. so, let a =6 and b = -5
Putting values:
a - b
=6-(-5) = 6+5 = 11
So, a – b is positive
c. Is b – a positive or negative. Explain how you know
We know a > 0 and b < 0. so, let a =6 and b = -5
Putting values:
b-a
=(-5)-(6)
= -5-6
= -11
So, b-a is negative
Keywords: Solving Integers:
Learn more about solving integers at:
#learnwithBrainly
