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Chapter 8.3 ? The Coming of Islam to South Asia
Introduction:
Foreigners entered India in waves of nomadic invaders seeking refuge; these people converted to Hinduism/Buddhism and found their place in Indian society and culture
Indians usually enjoyed higher level of material culture than migrant groups; led to persistent failure of rulers to unite against aggressors (periodic disruptions/ localized destruction)
Solve each system of inequalities by graphing.
1.?y ???6
y ?>??3 + x
?
SOLUTION:??
The graph of the system of inequalities is
ANSWER:??
2.?y ????3x + 4
y ???2x ? 1
?
SOLUTION:??
The graph of the system of inequalities is
ANSWER:??
3.?y \> ?2x + 4
y ????3x ? 3
?
SOLUTION:??
The graph of the system of inequalities is
ANSWER:??
Solve each system of equations by using a table.
1.?
SOLUTION:??
The equations are in slope-intercept form.
Make a table to find a solution that satisfies both equations.
?
?
Therefore, the solution of the system is (3, 5).
ANSWER:??
(3, 5)
2.?
SOLUTION:??
Write each equation in slope-intercept form.
?
?
Also:
?
Make a table to find a solution that satisfies both equations.
?
?
Therefore, the solution of the system is (2, 7).
Graph each inequality.
?
1.?
?
SOLUTION:??
The boundary of the graph is the graph of y = 4. Since the inequality symbol is , the boundary line is solid.
?
y is less than 4, so the region less than 4 is shaded.
?
?
ANSWER:??
?
2.?
?
SOLUTION:??
The boundary of the graph is the graph of x = ?6.?Since?the?inequality?symbol?is??,?the?boundary?line?is?solid.
x is greater than or equal to ?6, so the region greater than ?6 is shaded.
?
?
ANSWER:??
?
Identify the type of function represented by each graph.
?
1.?
SOLUTION:??
The function is linear because the graph is a straight line.
ANSWER:??
linear
?
2.?
SOLUTION:??
The graph is in the shape of a V. So, the graph represents an absolute value function.
ANSWER:??
absolute value
CCSS SENSE-MAKING??Describe the translation in each function. Then graph the function.
?
3.?
Graph each function. Identify the domain and range.
?
1.?
?
SOLUTION:??
?
The function is defined for all real values of x, so the domain is all real numbers.
?
D = {all real numbers}
?
The y-coordinates of points on the graph are real numbers less than or equal to 4, so the range is .
?
ANSWER:??
D = {all real numbers};
?
2.?
?
SOLUTION:??
1.?OCEANS The table shows the temperature in the ocean at various depths.
?
?
a. Make a scatter plot and a line of fit, and describe the correlation.
?
b. Use two ordered pairs to write a prediction equation.
?
c. Use your prediction equation to predict the missing value.
?
SOLUTION:??
a.
Write an equation in slope-intercept form for the line described.
?
1.?slope 1.5, passes through (0, 5)
SOLUTION:??
Substitute m = 1.5 and (x, y) = (0, 5) in the equation y = mx + b.
?
?
Substitute m = 1.5 and b = 5 in the equation
?
y = mx + b.
?
ANSWER:??
y = 1.5x + 5
2.?passes through (?2,?3)?and?(0,?1)???????????????
SOLUTION:??
Substitute ?and? ?in?the?slope?formula? .
?
?
Substitute m = ?1 and ?in?the?point?slope?form? .
?
CCSS?REGULARITY??Find?the?rate?of?change?for?each?set?of?data.
?
1.?
SOLUTION:??
Use the ordered pairs (4, 24) and (6, 36).
?
?
The rate of change is 6 feet/min.
ANSWER:??
6 feet/min
2.?
SOLUTION:??
Use the ordered pairs (10, 32) and (15, 48).
?
?
The rate of change is 3.2 cm
3
/sec.
ANSWER:??
3.2 cm
3
/sec
State whether each function is a linear function. Write yes or no. Explain.
?
1.?
SOLUTION:??
A linear function is a function with ordered pairs that satisfy a linear equation of the form y = mx + b.
The function ?is?linear?as?it?can?be?written?as? .
ANSWER:??
Yes; it can be written as
2.?
SOLUTION:??
A linear function is a function with ordered pairs that satisfy a linear equation of the form y = mx + b.
?cannot?be?written?in?the?form?f (x) = mx + b.
CCSS?STRUCTURE??State?the?domain?and?range?of?each?relation.?Then?determine?whether?each?relation
is a function . If it is a function, determine if it is one-to-one, onto, both, or neither.
?
AP BIOLOGY EXAM REVIEW GUIDE
?The price of success is hard work, dedication to the job at hand, and the determination that whether we win or lose, we have applied the best of ourselves to the task at hand.?
CONCEPT 1 - BIOCHEMISTRY
CHNOPS- most common elements in all living matter
Bonds- ionic (transfer electrons), covalent (sharing- polar/unequal sharing and non-polar/equal sharing), hydrogen (weak bonds between hydrogen and negatively charged items), hydrophobic interactions (how non-polar compounds congregate together- lipids)
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