Answer:
-2
Step-by-step explanation:
3*(-2)=-6
-6*(-2)=12
12*(-2)=-24
1)<span>Vertical asymptote is x=0
2)</span>f(x) = 2/(x² + 3x - 10) = 2 / [(x + 5)(x - 2)]
<span>Vertical asymptotes are x=2 and x=-5.
</span>3)It's a linear function, just a line, with a slope of 4/7 and a y-intercept of 0 because b=0.the degree of the numerator is 1 and the degree of the denominator is 0. 1>0<span> so we do not have any horizontal asymptotes.
4)</span> y = (7x+1)/(2x-9)
2xy - 9y = 7x + 1
2xy - 7x = 9y+1
<span>x = (9y + 1) / (2y - 7)
y=7/2
5)
6)</span>, <span>y=x−6</span><span> is your oblique asymptote
7)</span><span> line </span><span>y=2x−<span>3
8)</span></span><span>There is a horizontal asymptote and two vertical asymptotes though. </span>
<span>They are </span><span>y=0,x=<span>13</span>,andx=−<span>2
9)</span></span><span>The oblique or slant asymptote is </span><span>4x−5</span><span>.</span>
Answer:
Step-by-step explanation:
The numbers don’t increase by a constant amount, so this is not an arithmetic sequence.
It appears to be a <em>geometric sequence</em>.
The <em>general formula</em> for each term in a geometric sequence is
aₙ = a₁rⁿ⁻¹
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Calculate the value of r
You can calculate the r-value by dividing any two consecutive terms in the sequence.
rₙ = aₙ/aₙ₋₁
a₂/a₁ = 4.5/3 = 1.5
a₃/a₂ = 6.75/4.5 = 1.5
a₄/a₃ = 10.125/6.75 = 1.5
a₅/a₄ = 15.1875/10.125 = 1.5
r = 1.5
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Determine the formula for the nth term
a₁ = 3; r = 1.5 Substitute the values
aₙ = 3(1.5)ⁿ⁻¹ Write the equation as a function of x
The temperature went up by 33° fahrenheit because -8+8=0 and 0+25= 25 so 8+25=33