Match the expressions given in words with their values when m=6.
15
21
3
42
2
the sum of mand 3 divided by the
difference of m minus 3
the sum of 3 times mand 4 times m
the difference of the product of 3 and m
minus the quotient of m divided by 2
the quotient of 6 divided by the
difference of m minus 3

Value of expression 1 = 3

Value of expression 2 = 42

Value of expression 3 = 15

Value of expression 4 = 2

Step-by-step explanation:

Expression 1 : the sum of m and 3 divided by the  difference of m minus 3

Expression 1

Substitute m = 6

So, value of expression 1=

Expression 2 : the sum of 3 times m and 4 times m

Expression 2: 3m+4m

Substitute m = 6

So, value of expression 2=3m+4m=3(6)+4(6)=42

Expression 3 : the difference of the product of 3 and m  minus the quotient of m divided by 2

Expression 3:

Substitute m = 6

So, value of expression 2=

Expression 4 :the quotient of 6 divided by the  difference of m minus 3

Expression 4:

Substitute m = 6

So, value of expression 4=

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.