CInyCVIdence to Support a Claim The English public, now consuming some eighteen
pounds of sugar a year, knew little about the lives of the
enslaved Africans whose labor sweetened their meals.
Worse yet, every Englishman who hammered the wood,
sewed the sails, manufactured the rope for slave ships, or
built the barrels to hold slave-harvested sugar made his
money from the slave trade. The English were getting
richer because Africans were being turned into property.
Clarkson and others who believed as he did, who in the
coming decades would be called abolitionists, realized
that while that link gave the English a stake in slavery, it
also gave the antislavery forces an opportunity. If they
could reverse the flow-make the horrors of slavery
Visible to those who benefited from it-they might be able
to end the vile practice forever.
Abc
Which quotation provides evidence to support the claim
that the sugar trade led to the end of slavery?
O "The English public... knew little about the lives of
the enslaved Africans whose labor sweetened their
meals."
O "Eveỳ Englishman who...built the barrels to hold
slave-harvested sugar made his money from the
OThe English were getting richer because Africans
O "While that link gave the English a stake in slavery.
slave trade."
were being turned into property."
it also gave the antislavery forces an opportunity."
-Sugar Changed the World,
Marc Aronson and Marina Budhos

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

range =5

step-by-step explanation:

to find the range, we take the largest value and subtract the smallest value.

the largest value is 5

the smallest value is 0

the range is 5-0   =5