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# Math help

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#1: A florist is filling a large order for a client. The client wants no more than 300 roses in vases. The smaller vase will contain 8 roses and the larger vase will contain 12 roses. The client requires that there are at least twice as many small vases as large vases. The client requires that there are at least 6 small vases and no more than 12 large vases.

Let x represent the number of small vases and y represent the number of large vases.

What constraints are placed on the variables in this situation?

x≤2yx≤2y

8x+12y≤3008x+12y≤300

x≥6x≥6

y≤2xy≤2x

y≤12y≤12

x≤12x≤12

x+y≤300x+y≤300

y≥6

#2: The population of bacteria in a petri dish triples every 8 hours. The population of the bacteria is initially 800 organisms.

What unit is most appropriate for the time at which the population of the bacteria is 1200?

hour
bacteria per hour
minute
bacteria per minute

#3: The parent function is f(x)=2^x+3 −3 and the new function is g(x)=2^x+2 −1

How does the graph change from f(x) to g(x)?

The graph is shifted 1 unit right.
The graph is shifted 2 units up.
The graph is shifted 1 unit left.
The graph is shifted 2 units down.

#4: Solve the system of equations using the substitution method.

y=−1+3/8x

2x−5y=6y

#5: Right triangle ABCABC has its right angle at C. AC=3 and BC=4

Which trigonometric ratios are correct?

tanB=4/3
tanA=4/3
cosA=4/5
sinB=3/5
sinA=4/5

Dec 14, 2017

#1
+101084
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#1: A florist is filling a large order for a client. The client wants no more than 300 roses in vases. The smaller vase will contain 8 roses and the larger vase will contain 12 roses. The client requires that there are at least twice as many small vases as large vases. The client requires that there are at least 6 small vases and no more than 12 large vases.

Let x represent the number of small vases and y represent the number of large vases.

What constraints are placed on the variables in this situation?

x ≥ 2y

8x+12y≤300

x≥6

y≤12

#2: The population of bacteria in a petri dish triples every 8 hours. The population of the bacteria is initially 800 organisms.

What unit is most appropriate for the time at which the population of the bacteria is 1200?

hour

#3: The parent function is f(x)=2^(x+3( −3 and the new function is g(x)=2^(x+2( −1

How does the graph change from f(x) to g(x)?

The graph is shifted 1 unit right.
The graph is shifted 2 units up.

#4: Solve the system of equations using the substitution method.

y=−1+3/8x

2x−5y=6y   ⇒    2x  =  11y

Subbing  the first equation  into the second

2x  =  11  [  -1  +  (3/8)x ]

2x  =   -11 + (33/8)x

(16/8)x - (33/8)x  =  -11

(-17/8)x  =  -11

x  = (88/17)

And y  =  -1  + (3/8)(88/17)

y  =  - 1 + 33/17

y  =  16/17

#5: Right triangle ABCABC has its right angle at C. AC=3 and BC=4

Note :  AB   =  5

Which trigonometric ratios are correct?

A

3            5

C         4          B

tanA=4/3
sinB=3/5
sinA=4/5

Dec 14, 2017