Mathematics, 02.02.2020 15:55 cman1280

Eduardo thinks of a number between 1 and 20 that has exactly 5 factors. what number is he thinking of?

Eduardo thinks of a number between 1 and 20 that has exactly 5 factors. what number is he thinking o

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Answer from: Quest

answer: 2 answers

step-by-step explanation: the first one means to spread the product throughout the marketplace such that a large number of people can buy it.

the second means the process of making a product or service available for the consumer or business user that needs it.

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Answer from: Quest

vertical asymptote $x=3$ .

horizontal asymptote $y=-1$ .

step-by-step explanation:

given function is $f\left(x\right)=\frac{-3x-5}{3x-9}$ .

vertical asymptote is given by setting

denominator =0

$3x-9=0$

$3x=9$

$x=\frac{9}{3}$

$x=3$

when degree of numerator and denominator are same then divide first term of numerator by first term of denominator to get horizontal asymptote.

$y=\frac{-3x}{3x}$

$y=-1$

Graph all vertical and horizontal asymptotes of the function. f(x)= -3x-5 3x-9 if anyone can it’d

Answer from: Quest

a) 40 more; b) old factory: 10%, new factory: 16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.

using the function, substituting 0 in for w,

$p(w)=230(1.1)^w\\\\p(0)=230(1.1)^0\\\\p(0)=230(1)=230$

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate. the equation for the old factory is $p(w)=230(1.1)^w$ ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1. this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

$\text{percent of change}=\frac{\text{amount of change}}{\text{original amount}}$

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337. this is the first week that the new factory surpasses the old.

Answer from: Quest

there should be an link icon on the bottom of the text box you get. it looks like a paperclip!

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