Apea plant heterozygous for plant height, pod shape, and flower color was selfed. the progeny consisted of 272 tall, inflated pods, purple flowers; 92 tall, inflated, white flowers; 88 tall, flat pods, purple; 93 dwarf, inflated, purple; 35 tall, flat, white; 31 dwarf, inflated, white; 29 dwarf, flat, purple; 11 dwarf, flat, white. which alleles are dominant in this cross?

Tall , Inflated and Purple are dominant

Explanation:

The given phenotypical count is as follows -

Tall, inflated pods, purple flowers-

Tall, inflated, white flowers -

Tall, flat pods, purple -

Dwarf, inflated, purple-

Tall, flat, white -

Dwarf, inflated, white-

Dwarf, flat, purple-

Dwarf, flat, white-

Total number of species

Let Trepresents tall allele and t represent dwarf allele , P represents allele for purple flower and p represents allele for white flower , I represents alleles for inflated flower and i represents allele for

Phenotypical ratio

Tall, inflated pods, purple flowers- TTIIPP

Tall, inflated, white flowers - TTIIpp

Tall, flat pods, purple - TTiiPP

Dwarf, inflated, purple- ttIIPP

Tall, flat, white - TTiipp

Dwarf, inflated, white- ttIIpp

Dwarf, flat, purple- ttiiPP

Dwarf, flat, white- ttiipp

Hence, Tall , Inflated and Purple are dominant allele

answer-

the statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.

solution-

it solely depends on b, whether the function will have one or two or zero x intercept.

this plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e v shape, with vertex translated to (-a, b), instead of origin.

1-   if b is zero, the graph will have exactly one x-intercept, at x= -a

2- if b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- if b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ the statement is sometimes true.

the last one: artificial selection/genetic engineering

plant breeding is modifying the genetic composition of the plant - but this isn't cloning (which is specifically introducing a gene into a genome). but you are artificially selecting for the phenotype that you want.

the second one is literally genetic engineering - the gene would have been cloned first and then inserted or genetically engineered into the new plant cell (the cotton).