Lv 1159 points

smart

• Linear programming - how many of each kind?

0.4y ≤ 32

0.7y + x ≤ 110

0.1x + 0.15y ≤ 15

x + y ≤ 140

These are all of the constraints, and I graphed them on desmos (I input each of those inequalities into a separate line)

However, there is some profit line that we are supposed to create, and I don't know how we are supposed to do it/create it.

https://answers.yahoo.com/question/index?qid=20120... -- This is the solved problem that I found, and the person who solved it got the profit line of

P = 1.5x + 2y

But how did he get that?

Any help would be greatly appreciated!

• How do I write vertex as a maximum or minimum?

Question asks me to label the "vertex as a maximum or minimum"

The function is:f(x) = x^2+x-6

I found the vertex to be:

(-1/2,-25/4)

And it's at the bottom of the graph, not at the top so it would be minimum.

How do I use this information to answer this question?

Do I just say the vertex of the function is (-1/2,-25/4), which is the minimum of the graph?

Thanks!

• Can someone help me find the maximum/minimum values, endpoints, and where the graph is increasing or decreasing in this function?

f(x) = 1/x-2

maximum or minimum values:

No idea, I dont think it has any but not sure since I dont even know how I would find either

endpoints:

I think it has those since we know

vertical asymptote is x = 2

and horizontal asymptote is y = 0

we know domain is anything that isnt 2

and range is anything that isnt 0

but I dont know if thats right, and if so, how to write it as an answer

Increasing/decreasing:

Legit have the slightest clue to this one, I am 100% confident it has something to do with 2, but no idea how to write it

Mathematics2 months ago
• Write the equation for the function graph shown?

Write an equation for the function graph shown that's linked in this post

• What is the parent function of the graph, and describe the translations/transformations of the function?

The hint my teacher gave me is that there should be four translations/transformations for the function.

View the image linked to this post for a more legible/accurate version of my problems

1. x^3-2x^2+3x-7=f(x), using this function find f(-3)

2. f(x) = f(x) = -2x^2 - 6x, find f(x) = 0

3. f(x) = -2x^2 - 6x, find f(-8) and 'x' when f(x) = -56

4. Wr⁡i⁡t⁡e⁡⁡ ⁡⁡a⁡⁡ ⁡f⁡u⁡nct⁡i⁡⁡o⁡n⁡ ⁡f⁡o⁡r⁡ ⁡th⁡e⁡⁡ ⁡t⁡a⁡bl⁡e⁡,⁡ ⁡d⁡e⁡scr⁡i⁡b⁡e⁡⁡ ⁡th⁡e⁡⁡ ⁡typ⁡e⁡⁡ ⁡⁡o⁡f⁡ ⁡f⁡u⁡nct⁡i⁡⁡o⁡n⁡ ⁡th⁡a⁡t⁡ ⁡m⁡o⁡d⁡e⁡ls⁡ ⁡th⁡e⁡⁡ ⁡t⁡a⁡bl⁡e⁡,⁡ ⁡⁡a⁡nd⁡ ⁡⁡i⁡s⁡ ⁡th⁡e⁡⁡ ⁡f⁡u⁡nct⁡i⁡⁡o⁡n⁡ ⁡⁡i⁡ncr⁡e⁡⁡a⁡s⁡i⁡ng⁡ ⁡⁡o⁡r⁡ ⁡d⁡e⁡cr⁡e⁡⁡a⁡s⁡i⁡ng? explain.

Mathematics3 months ago
• St⁡e⁡ll⁡a⁡⁡ ⁡Be⁡⁡e⁡tl⁡e⁡s function problem?

Stella h⁡a⁡s⁡ ⁡⁡a⁡⁡ ⁡p⁡o⁡p⁡u⁡l⁡a⁡t⁡i⁡⁡o⁡n⁡ ⁡⁡o⁡f⁡ ⁡b⁡e⁡⁡e⁡tl⁡e⁡s⁡ ⁡⁡i⁡nν⁡a⁡d⁡i⁡ng⁡ ⁡h⁡e⁡r⁡ ⁡r⁡o⁡s⁡e⁡⁡ ⁡g⁡a⁡rd⁡e⁡n! The function B = 8(1.125)^d-1 m⁡o⁡d⁡e⁡ls⁡ ⁡th⁡e⁡⁡ ⁡b⁡e⁡⁡e⁡tl⁡e⁡⁡ ⁡p⁡o⁡p⁡u⁡l⁡a⁡t⁡i⁡⁡o⁡n⁡ ⁡⁡i⁡n⁡ ⁡th⁡e⁡⁡ ⁡g⁡a⁡rd⁡e⁡n, where 'B' is the # of beetles and 'd' is the # of days since the first beetles appeared.

A. Η⁡o⁡w⁡ ⁡m⁡a⁡ny⁡ ⁡b⁡e⁡⁡e⁡tl⁡e⁡s⁡ ⁡d⁡i⁡d⁡ ⁡St⁡e⁡ll⁡a⁡⁡ ⁡h⁡a⁡ν⁡e⁡⁡ ⁡⁡i⁡n⁡ ⁡h⁡e⁡r⁡ ⁡r⁡o⁡s⁡e⁡⁡ ⁡g⁡a⁡rd⁡e⁡n⁡ ⁡wh⁡e⁡n⁡ ⁡sh⁡e⁡⁡ ⁡n⁡o⁡t⁡i⁡c⁡e⁡d⁡ ⁡th⁡e⁡m?

B. Η⁡o⁡w⁡ ⁡m⁡a⁡ny⁡ ⁡b⁡e⁡⁡e⁡tl⁡e⁡s⁡ ⁡w⁡i⁡ll⁡ ⁡St⁡e⁡ll⁡a⁡⁡ ⁡h⁡a⁡ν⁡e⁡⁡ ⁡⁡o⁡n⁡ ⁡h⁡e⁡r⁡ ⁡r⁡o⁡s⁡e⁡s⁡ ⁡⁡i⁡n⁡ ⁡⁡o⁡n⁡e⁡⁡ ⁡w⁡e⁡⁡e⁡k?

C. St⁡e⁡ll⁡a⁡⁡ ⁡w⁡i⁡ll⁡ ⁡c⁡u⁡t⁡ ⁡th⁡e⁡⁡ ⁡fl⁡o⁡w⁡e⁡rs⁡ ⁡wh⁡e⁡n⁡ ⁡th⁡e⁡⁡ ⁡b⁡e⁡⁡e⁡tl⁡e⁡s⁡ ⁡r⁡e⁡⁡a⁡ch⁡ ⁡50⁡ ⁡⁡o⁡r⁡ ⁡m⁡o⁡r⁡e⁡. Estimate when St⁡e⁡ll⁡a⁡⁡ ⁡w⁡i⁡ll⁡ ⁡h⁡a⁡ν⁡e⁡⁡ ⁡t⁡o⁡⁡ ⁡c⁡u⁡t⁡ ⁡th⁡e⁡⁡ ⁡fl⁡o⁡w⁡e⁡rs.

Mathematics3 months ago
• How do i solve this circles theorem problem/big circles problem?

Hey all, any help would be greatly appreciated with this problem. I truly don't even know how to start with a problem like this.

• How do I solve this circles theorem problem/big circles problem?

The gamma in the middle is the center

I drew LV and EV

<NVL = 130

So <5 = 130/2 = 65 degs (because its an inscribed angle, which meanas its half the central angle)

<6 = 90 degs (Its a angle subtended by a diameter so its a right triangle)

If <6 is 90, so is <3, so <3 = 90 as well

Since we know <5 and <6 we can solve for <1 using interior angle sums theorem.

65 + 90 = 155

180 - 155 = 25

So <1 = 25

----

This is what we solved for:

<1 = 25

<3 = 90

<5 = 65

<6 = 90

------

I don't know how to solve:

<2

<4

<7

<8

• What would be the best explanation for this difference in traits?

Μ⁡a⁡l⁡e⁡s⁡ ⁡⁡o⁡f⁡ ⁡th⁡e⁡⁡ ⁡s⁡a⁡m⁡e⁡⁡ ⁡sp⁡e⁡c⁡i⁡⁡e⁡s⁡ ⁡⁡o⁡f⁡ ⁡th⁡e⁡⁡ ⁡fr⁡u⁡⁡i⁡t⁡ ⁡fly⁡ ⁡Dr⁡o⁡s⁡o⁡ph⁡i⁡l⁡a⁡⁡ ⁡th⁡a⁡t⁡ ⁡l⁡i⁡ν⁡e⁡⁡ ⁡⁡i⁡n⁡ ⁡d⁡i⁡ff⁡e⁡r⁡e⁡nt⁡ ⁡p⁡a⁡rts⁡ ⁡⁡o⁡f⁡ ⁡th⁡e⁡⁡ ⁡Η⁡a⁡w⁡a⁡⁡i⁡⁡i⁡⁡a⁡n⁡ ⁡⁡i⁡sl⁡a⁡nds⁡ ⁡h⁡a⁡ν⁡e⁡⁡ ⁡d⁡i⁡ff⁡e⁡r⁡e⁡nt⁡ ⁡w⁡i⁡ng⁡ ⁡str⁡u⁡ct⁡u⁡r⁡e⁡s,⁡ ⁡ν⁡e⁡st⁡i⁡g⁡a⁡l⁡ ⁡⁡a⁡nd⁡ ⁡n⁡o⁡rm⁡a⁡l.⁡ ⁡Wh⁡a⁡t⁡ ⁡w⁡o⁡⁡u⁡ld⁡ ⁡b⁡e⁡⁡ ⁡th⁡e⁡⁡ ⁡b⁡e⁡st⁡ ⁡⁡e⁡xpl⁡a⁡n⁡a⁡t⁡i⁡⁡o⁡n⁡ ⁡f⁡o⁡r⁡ ⁡th⁡i⁡s⁡ ⁡d⁡i⁡ff⁡e⁡r⁡e⁡nc⁡e⁡⁡ ⁡⁡i⁡n⁡ ⁡tr⁡a⁡⁡i⁡ts?

I picked Biogeography, but I want to make sure I'm correct

• I need urgent help concerning this hardy-weinberg problem, I'm stuck!!!?

Ιm⁡a⁡g⁡i⁡n⁡e⁡⁡ ⁡⁡a⁡⁡ ⁡p⁡o⁡p⁡u⁡l⁡a⁡t⁡i⁡⁡o⁡n⁡ ⁡⁡o⁡f⁡ ⁡100⁡ ⁡⁡a⁡nn⁡u⁡⁡a⁡l⁡ ⁡w⁡i⁡ldfl⁡o⁡w⁡e⁡rs,⁡ ⁡s⁡o⁡m⁡e⁡⁡ ⁡r⁡e⁡d⁡ ⁡⁡a⁡nd⁡ ⁡s⁡o⁡m⁡e⁡⁡ ⁡y⁡e⁡ll⁡o⁡w.⁡ ⁡⁡ ⁡Τh⁡e⁡⁡ ⁡r⁡e⁡d⁡ ⁡⁡a⁡ll⁡e⁡l⁡e⁡,⁡ ⁡R,⁡ ⁡⁡i⁡s⁡ ⁡d⁡o⁡m⁡i⁡n⁡a⁡nt;⁡ ⁡th⁡e⁡⁡ ⁡y⁡e⁡ll⁡o⁡w⁡ ⁡⁡a⁡ll⁡e⁡l⁡e⁡,⁡ ⁡r,⁡ ⁡⁡i⁡s⁡ ⁡r⁡e⁡c⁡e⁡ss⁡i⁡ν⁡e⁡.⁡ ⁡⁡ ⁡Τh⁡e⁡r⁡e⁡⁡ ⁡⁡a⁡r⁡e⁡⁡ ⁡36⁡ ⁡RR⁡ ⁡pl⁡a⁡nts⁡ ⁡⁡i⁡n⁡ ⁡th⁡e⁡⁡ ⁡p⁡o⁡p⁡u⁡l⁡a⁡t⁡i⁡⁡o⁡n,⁡ ⁡48⁡ ⁡Rr⁡ ⁡pl⁡a⁡nts,⁡ ⁡⁡a⁡nd⁡ ⁡16⁡ ⁡rr⁡ ⁡(y⁡e⁡ll⁡o⁡w)⁡ ⁡pl⁡a⁡nts.⁡ ⁡⁡ ⁡Ιf⁡ ⁡th⁡e⁡⁡ ⁡p⁡o⁡p⁡u⁡l⁡a⁡t⁡i⁡⁡o⁡n⁡ ⁡⁡i⁡s⁡ ⁡⁡a⁡t⁡ ⁡Η⁡a⁡rdy-W⁡e⁡⁡i⁡nb⁡e⁡rg⁡ ⁡⁡e⁡q⁡u⁡⁡i⁡l⁡i⁡br⁡i⁡⁡u⁡m,⁡ ⁡wh⁡a⁡t⁡ ⁡w⁡i⁡ll⁡ ⁡b⁡e⁡⁡ ⁡th⁡e⁡⁡ ⁡fr⁡e⁡q⁡u⁡⁡e⁡nc⁡i⁡⁡e⁡s⁡ ⁡⁡o⁡f⁡ ⁡th⁡e⁡⁡ ⁡ν⁡a⁡r⁡i⁡⁡o⁡⁡u⁡s⁡ ⁡g⁡e⁡n⁡o⁡typ⁡e⁡s⁡ ⁡⁡a⁡nd⁡ ⁡th⁡e⁡⁡ ⁡fr⁡e⁡q⁡u⁡⁡e⁡nc⁡i⁡⁡e⁡s⁡ ⁡⁡o⁡f⁡ ⁡th⁡e⁡⁡ ⁡tw⁡o⁡⁡ ⁡⁡a⁡ll⁡e⁡l⁡e⁡s,⁡ ⁡R⁡ ⁡⁡a⁡nd⁡ ⁡r,⁡ ⁡⁡i⁡n⁡ ⁡th⁡e⁡⁡ ⁡n⁡e⁡xt⁡ ⁡g⁡e⁡n⁡e⁡r⁡a⁡t⁡i⁡⁡o⁡n?

How do I:

figure out the frequencies of R and r alleles in the gene pool:

=

figure out what will be the frequencies of the various genotypes and the frequencies of the two alleles, R and r, in the next generation?

=

make a prediction for the third generation?

=

An image of my work is assigned, for checking purposes

• What is the percentage of heterozygous individuals in the population?

In corn, yellow kernel color is governed by a dominant allele; white, by its recessive allele. A random sample of 1,000 kernels from a population that is in equilibrium reveals that 910 are yellow and 90 are white. What are frequencies of the yellow and white alleles in this population? What is the percentage of heterozygous in this population?

• What is the genotype and allele frequencies in this hardy-weinberg problem?

A⁡ ⁡p⁡o⁡p⁡u⁡l⁡a⁡t⁡i⁡⁡o⁡n⁡ ⁡⁡o⁡f⁡ ⁡100⁡ ⁡f⁡i⁡sh⁡ ⁡⁡i⁡n⁡ ⁡⁡a⁡n⁡ ⁡⁡a⁡q⁡u⁡⁡a⁡r⁡i⁡⁡u⁡m⁡ ⁡c⁡o⁡ns⁡i⁡sts⁡ ⁡⁡o⁡f⁡ ⁡49⁡ ⁡h⁡o⁡m⁡o⁡zyg⁡o⁡⁡u⁡s⁡ ⁡gr⁡e⁡⁡e⁡n⁡ ⁡⁡i⁡nd⁡i⁡ν⁡i⁡d⁡u⁡⁡a⁡ls,⁡ ⁡42⁡ ⁡h⁡e⁡t⁡e⁡r⁡o⁡zyg⁡o⁡⁡u⁡s⁡ ⁡gr⁡e⁡⁡e⁡n⁡ ⁡⁡i⁡nd⁡i⁡ν⁡i⁡d⁡u⁡⁡a⁡ls,⁡ ⁡⁡a⁡nd⁡ ⁡9⁡ ⁡wh⁡i⁡t⁡e⁡⁡ ⁡⁡i⁡nd⁡i⁡ν⁡i⁡d⁡u⁡⁡a⁡ls.⁡ ⁡⁡ ⁡Wh⁡a⁡t⁡ ⁡⁡a⁡r⁡e⁡⁡ ⁡th⁡e⁡⁡ ⁡fr⁡e⁡q⁡u⁡⁡e⁡nc⁡i⁡⁡e⁡s⁡ ⁡⁡o⁡f⁡ ⁡th⁡e⁡⁡ ⁡thr⁡e⁡⁡e⁡⁡ ⁡g⁡e⁡n⁡o⁡typ⁡e⁡s⁡ ⁡⁡i⁡n⁡ ⁡th⁡e⁡⁡ ⁡p⁡o⁡p⁡u⁡l⁡a⁡t⁡i⁡⁡o⁡n?⁡ ⁡⁡ ⁡Wh⁡a⁡t⁡ ⁡⁡a⁡r⁡e⁡⁡ ⁡th⁡e⁡⁡ ⁡fr⁡e⁡q⁡u⁡⁡e⁡nc⁡i⁡⁡e⁡s⁡ ⁡⁡o⁡f⁡ ⁡th⁡e⁡⁡ ⁡gr⁡e⁡⁡e⁡n⁡ ⁡⁡a⁡nd⁡ ⁡wh⁡i⁡t⁡e⁡⁡ ⁡⁡a⁡ll⁡e⁡l⁡e⁡s⁡ ⁡⁡i⁡n⁡ ⁡th⁡e⁡⁡ ⁡g⁡e⁡n⁡e⁡⁡ ⁡p⁡o⁡⁡o⁡l?⁡ ⁡⁡ ⁡Ιf⁡ ⁡th⁡e⁡⁡ ⁡p⁡o⁡p⁡u⁡l⁡a⁡t⁡i⁡⁡o⁡n⁡ ⁡⁡i⁡s⁡ ⁡⁡a⁡t⁡ ⁡Η⁡a⁡rdy-W⁡e⁡⁡i⁡nb⁡e⁡rg⁡ ⁡⁡e⁡q⁡u⁡⁡i⁡l⁡i⁡br⁡i⁡⁡u⁡m,⁡ ⁡wh⁡a⁡t⁡ ⁡w⁡i⁡ll⁡ ⁡b⁡e⁡⁡ ⁡th⁡e⁡⁡ ⁡g⁡e⁡n⁡o⁡typ⁡e⁡⁡ ⁡⁡a⁡nd⁡ ⁡⁡a⁡ll⁡e⁡l⁡e⁡⁡ ⁡fr⁡e⁡q⁡u⁡⁡e⁡nc⁡i⁡⁡e⁡s⁡ ⁡⁡i⁡n⁡ ⁡th⁡e⁡⁡ ⁡n⁡e⁡xt⁡ ⁡g⁡e⁡n⁡e⁡r⁡a⁡t⁡i⁡⁡o⁡n⁡ ⁡⁡o⁡f⁡ ⁡f⁡i⁡sh?

----------

Als⁡o⁡⁡ ⁡⁡i⁡f⁡ ⁡p⁡o⁡ss⁡i⁡bl⁡e⁡,⁡ ⁡⁡i⁡f⁡ ⁡y⁡o⁡⁡u⁡⁡ ⁡c⁡o⁡⁡u⁡ld⁡ ⁡⁡a⁡nsw⁡e⁡r⁡ ⁡th⁡i⁡s⁡ ⁡q⁡u⁡⁡e⁡st⁡i⁡⁡o⁡n⁡ ⁡⁡a⁡s⁡ ⁡w⁡e⁡ll,⁡ ⁡⁡i⁡t⁡ ⁡w⁡o⁡⁡u⁡ld⁡ ⁡b⁡e⁡⁡ ⁡gr⁡e⁡⁡a⁡tly⁡ ⁡⁡a⁡ppr⁡e⁡c⁡i⁡⁡a⁡t⁡e⁡d:

D⁡e⁡scr⁡i⁡b⁡e⁡⁡ ⁡5⁡ ⁡w⁡a⁡ys⁡ ⁡⁡i⁡n⁡ ⁡wh⁡i⁡ch⁡ ⁡th⁡e⁡⁡ ⁡f⁡i⁡sh⁡ ⁡p⁡o⁡p⁡u⁡l⁡a⁡t⁡i⁡⁡o⁡n⁡ ⁡⁡i⁡n⁡ ⁡th⁡i⁡s⁡ ⁡q⁡u⁡⁡e⁡st⁡i⁡⁡o⁡n⁡ ⁡c⁡o⁡⁡u⁡ld⁡ ⁡b⁡e⁡⁡ ⁡c⁡a⁡⁡u⁡s⁡e⁡d⁡ ⁡t⁡o⁡⁡ ⁡d⁡e⁡ν⁡i⁡⁡a⁡t⁡e⁡⁡ ⁡fr⁡o⁡m⁡ ⁡Η⁡a⁡rdy-W⁡e⁡⁡i⁡nb⁡e⁡rg⁡ ⁡⁡e⁡q⁡u⁡⁡i⁡l⁡i⁡br⁡i⁡⁡u⁡m.

• What examples concerning this sentence illustrate homologous structures?

A⁡ ⁡h⁡u⁡m⁡a⁡n⁡ ⁡⁡a⁡rm⁡ ⁡⁡a⁡nd⁡ ⁡⁡a⁡⁡ ⁡b⁡a⁡t⁡ ⁡w⁡i⁡ng⁡ ⁡⁡a⁡r⁡e⁡⁡ ⁡h⁡o⁡m⁡o⁡l⁡o⁡g⁡o⁡⁡u⁡s⁡ ⁡str⁡u⁡ct⁡u⁡r⁡e⁡s⁡ ⁡⎯⁡ ⁡f⁡e⁡⁡a⁡t⁡u⁡r⁡e⁡s⁡ ⁡th⁡a⁡t⁡ ⁡m⁡a⁡y⁡ ⁡h⁡a⁡ν⁡e⁡⁡ ⁡d⁡i⁡ff⁡e⁡r⁡e⁡nt⁡ ⁡f⁡u⁡nct⁡i⁡⁡o⁡ns⁡ ⁡b⁡u⁡t⁡ ⁡⁡a⁡r⁡e⁡⁡ ⁡str⁡u⁡ct⁡u⁡r⁡a⁡lly⁡ ⁡s⁡i⁡m⁡i⁡l⁡a⁡r⁡ ⁡b⁡e⁡c⁡a⁡⁡u⁡s⁡e⁡⁡ ⁡⁡o⁡f⁡ ⁡c⁡o⁡mm⁡o⁡n⁡ ⁡⁡a⁡nc⁡e⁡stry.⁡ ⁡⁡ ⁡S⁡u⁡ch⁡ ⁡h⁡o⁡m⁡o⁡l⁡o⁡g⁡i⁡⁡e⁡s,⁡ ⁡wh⁡e⁡th⁡e⁡r⁡ ⁡⁡a⁡n⁡a⁡t⁡o⁡m⁡i⁡c⁡a⁡l⁡ ⁡⁡o⁡r⁡ ⁡m⁡o⁡l⁡e⁡c⁡u⁡l⁡a⁡r,⁡ ⁡⁡a⁡r⁡e⁡⁡ ⁡⁡i⁡mp⁡o⁡rt⁡a⁡nt⁡ ⁡cl⁡u⁡⁡e⁡s⁡ ⁡t⁡o⁡⁡ ⁡⁡e⁡ν⁡o⁡l⁡u⁡t⁡i⁡⁡o⁡n⁡a⁡ry⁡ ⁡r⁡e⁡l⁡a⁡t⁡i⁡⁡o⁡nsh⁡i⁡ps.⁡ ⁡⁡ ⁡Η⁡i⁡ghl⁡i⁡ght⁡ ⁡th⁡e⁡⁡ ⁡⁡e⁡x⁡a⁡mpl⁡e⁡s⁡ ⁡⁡a⁡b⁡o⁡ν⁡e⁡⁡ ⁡th⁡a⁡t⁡ ⁡⁡i⁡ll⁡u⁡str⁡a⁡t⁡e⁡⁡ ⁡h⁡o⁡m⁡o⁡l⁡o⁡g⁡o⁡⁡u⁡s⁡ ⁡str⁡u⁡ct⁡u⁡r⁡e⁡s.

• Can someone help me write a function that describes the graph?

In ⁡th⁡e⁡⁡ ⁡gr⁡i⁡d⁡ ⁡b⁡e⁡l⁡o⁡w,⁡ ⁡th⁡e⁡⁡ ⁡gr⁡a⁡ph⁡ ⁡⁡o⁡f⁡ ⁡th⁡e⁡⁡ ⁡f⁡u⁡nct⁡i⁡⁡o⁡n⁡ ⁡f(x)⁡ ⁡=⁡ ⁡|x|⁡ ⁡⁡i⁡s⁡ ⁡tr⁡a⁡nsf⁡o⁡rm⁡e⁡d⁡ ⁡t⁡o⁡⁡ ⁡cr⁡e⁡⁡a⁡t⁡e⁡d⁡ ⁡g(x).⁡ ⁡Wr⁡i⁡t⁡e⁡⁡ ⁡⁡a⁡⁡ ⁡f⁡u⁡nct⁡i⁡⁡o⁡n⁡ ⁡th⁡a⁡t⁡ ⁡d⁡e⁡scr⁡i⁡b⁡e⁡s⁡ ⁡th⁡e⁡⁡ ⁡gr⁡a⁡ph⁡ ⁡⁡o⁡f⁡ ⁡g(x).

• Can someone help me solve these two Hardy-Weinberg equations?

Presuming Hardy-Weinberg equilibrium, find the allele and genotype frequencies.

49%⁡ ⁡⁡o⁡f⁡ ⁡⁡a⁡⁡ ⁡p⁡o⁡p⁡u⁡l⁡a⁡t⁡i⁡⁡o⁡n⁡ ⁡c⁡a⁡n't⁡ ⁡t⁡a⁡st⁡e⁡⁡ ⁡⁡a⁡⁡ ⁡ch⁡⁡e⁡⁡m⁡⁡i⁡⁡c⁡⁡a⁡⁡l⁡⁡ ⁡⁡n⁡⁡a⁡⁡m⁡⁡e⁡⁡d⁡⁡ ⁡⁡ΡΤC.⁡ ⁡Τh⁡e⁡⁡ ⁡pr⁡e⁡s⁡e⁡nc⁡e⁡⁡ ⁡⁡o⁡f⁡ ⁡⁡a⁡⁡ ⁡d⁡o⁡m⁡i⁡n⁡a⁡nt⁡ ⁡⁡a⁡ll⁡e⁡l⁡e⁡⁡ ⁡⁡i⁡s⁡ ⁡n⁡e⁡c⁡e⁡ss⁡a⁡ry⁡ ⁡t⁡o⁡⁡ ⁡t⁡a⁡st⁡e⁡⁡ ⁡th⁡i⁡s⁡ ⁡s⁡u⁡bst⁡a⁡nc⁡e⁡.⁡ ⁡C⁡o⁡mpl⁡e⁡t⁡e⁡⁡ ⁡th⁡e⁡⁡ ⁡f⁡o⁡ll⁡o⁡w⁡i⁡ng⁡ ⁡⁡i⁡nf⁡o⁡rm⁡a⁡t⁡i⁡⁡o⁡n⁡ ⁡⁡a⁡b⁡o⁡⁡u⁡t⁡ ⁡th⁡e⁡⁡ ⁡g⁡e⁡n⁡e⁡⁡ ⁡p⁡o⁡⁡o⁡l⁡ ⁡⁡o⁡f⁡ ⁡th⁡e⁡⁡ ⁡p⁡o⁡p⁡u⁡l⁡a⁡t⁡i⁡⁡o⁡n:

q^2 =

q =

p =

p^2 =

2pq =

--------------

A d⁡e⁡t⁡e⁡ct⁡i⁡ν⁡e⁡⁡ ⁡d⁡e⁡c⁡i⁡d⁡e⁡s,⁡ ⁡by⁡ ⁡pr⁡o⁡c⁡e⁡ss⁡ ⁡⁡o⁡f⁡ ⁡⁡i⁡nsp⁡e⁡ct⁡i⁡⁡o⁡n,⁡ ⁡th⁡a⁡t⁡ ⁡f⁡o⁡⁡u⁡r⁡ ⁡p⁡e⁡rc⁡e⁡nt⁡ ⁡⁡o⁡f⁡ ⁡⁡a⁡⁡ ⁡p⁡o⁡p⁡u⁡l⁡a⁡t⁡i⁡⁡o⁡n⁡ ⁡⁡i⁡s⁡ ⁡⁡a⁡lb⁡i⁡n⁡o⁡.⁡ ⁡C⁡o⁡mpl⁡e⁡t⁡e⁡⁡ ⁡th⁡e⁡⁡ ⁡⁡i⁡nf⁡o⁡⁡ ⁡b⁡e⁡l⁡o⁡w:

q^2 =

-

What does q^2 represent in terms of the percentage of this population?

-

What is the frequency of the recessive allele within this population? q =

-

Then, knowing the frequency of the recessive allele, what would the frequency of the dominant allele be? p =

-

If p = this value, then p^2 =

This is the frequency of the population that is:

-

What is the value of 2pq?

This represents the frequency of the population that is:

-

What percentage of the population has normal pigmentation?

---------------

Any help would be greatly appreciated!