Me

a stretch by a factor of 2 for the exponential growth function f(x)= a(9/4) occurs when a = 1/2, 1, 2, or 9/4

a stretch by a factor of 11/3 for the exponential decay function f(x)= a(3/5) occurs when a = 1/3, 3/5, 1, or 11/3

a shrink by a factor of 1/3 for the exponential growth function f(x)= a(7)^x occurs when a = 1/3, 1, 7/3, or 7

a shrink by a factor of 2/5 for the exponential decay function f(x)= a(2/9)^x occurs when a = 1/5, 2/5, 2/9, or 5/2

Remember that stretching or compressing the graph of a function is a transformation in which you multiply the whole function by a constant . If , you are compressing the graph of the function by a factor of . If , you are stretching the graph of the function by a factor of .

1. Here we want to stretch the graph by a factor of 2. Since 2 > 1, we just need to multiply the whole function by 2. Therefore, A stretch by a factor of 2 for the exponential growth function f(x)= a(9/4) occurs when a =2.

2. Here we want to stretch the graph by a factor of 11/3. Since 11/3 > 1, we just need to multiply the whole function by 11/3. Therefore, a stretch by a factor of 11/3 for the exponential decay function f(x)= a(3/5) occurs when a=11/3.

3. Here we want to compress the graph by a factor of 1/3, so . The only number in our options that satisfy that condition is 1/3. Therefore, a shrink by a factor of 1/3 for the exponential growth function f(x)= a(7)^x occurs when a = 1/3.

4. Here we want to compress the graph by a factor of 2/5, so . since 0<2.5<1, we just need to multiply the whole function by 2/5. Therefore, A shrink by a factor of 2/5 for the exponential decay function f(x)= a(2/9)^x occurs when a =2/5.

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

all persons born or naturalized in the united states and subject to the jurisdiction thereof, are citizens of the united states and of the state wherein they reside. no state shall make or enforce any law which shall abridge the privileges or immunities of citizens of the united states; nor shall any state deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.

The answer would be -3.9> -4.5