Answer:
an = 2(−4)^(n − 1); all integers where n ≥ 1
Step-by-step explanation:
The equation has the form ...
an = a1(r)^(n-1) . . . . . where a1 is the first term and r is the common ratio.
The first term is given as 2, and the ratio will be the ratio of the first two terms:
r = (-8)/(2) = -4
Terms are numbered starting with n=1, so the formula is ...
an = 2(-4)^(n-1) for n≥1
By drawing the hypotenuse of the shape.
A multiplication expression with a product of 5 to the 13th power is...
- 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 = 1,220,703, 125 (answer)
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First of all, we know that it's a linear equation, which means it'll have to be y=mx+b.
Identify your points.
(0, 0) and (5, 4).
Now find the slope by doing
m = (y₂ - y₁)/(x₂ - x₁)
m = (4 - 0)/(5 - 0)
m = 4/5
So the slope is 4/5 or 0.8.
Now set the equation up. You have a point and the slope, so use the point-slope equation.
y - y₁ = m(x - x₁)
y - 4 = 4/5(x - 5)
y - 4 = 4/5x - 4
y = 4/5x
So the equation of the line is y=4/5x.
Answer:
x>10
Step-by-step explanation:
4(2x + 2) + 12 > 100
Subtract 12 from each side
4(2x + 2) + 12 -12> 100-12
4(2x + 2) > 88
Divide by 4
4/4(2x + 2) > 88/4
2x+2 > 22
Subtract 2
2x+2-2 > 22-2
2x> 20
Divide by 2
2x/2 >20/2
x>10
