Answer:
The equation for nth term is 3n + 5.
Step-by-step explanation:
Let a1 be a,
a3 = a + (n - 1)d
or, 14 = a + (3 - 1)d
so, 14 = a + 2d
Now,
a5 = a + (n - 1)d
or, 20 = a + (5 - 1)d
or, 20 = a + 4d
now,
a + 4d = 20
a + 2d = 14
now,
a + 4d - ( a + 2d) = 20 - 14
or, a + 4d - a - 2d = 6
or, 2d = 6
so, d = 3
Now,
a + 2d = 14
or, a + 2(3) = 14
or, a = 14 - 6
so, a = 8
Now,
an = a + (n - 1)d
or, an = 8 + (n - 1)3
or, an = 8 + 3n - 3
so, an = 3n + 5
Answer:
B- x > -6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
-4x + 12 < 36
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract 12 on both sides: -4x < 24
- [Division Property of Equality] Divide -4 on both sides: x > -6
Answer:
2/7
Step-by-step explanation:
Slope is the number in front of the x
Answer:
Step-by-step explanation:
perimeter of a square = 4 x length (L)
8x - 10 + 8x - 10 = 4L
rearrange the expression
8x + 8x - 10 - 10 = 4L
16x - 20 = 4L
divide both sides for L to stand alone
(16x - 20)/ 4 = 4L/4
(16x - 20)/4 = L
to get the equation of any straight line, we simply need two points off of it, let's use the points in the picture below.
