Mrs. clark wants to plant rose bushes along the front of her house. the length she wants to cover is 13 feet, and she wants to allow at least 2 feet for each rose bush. if rose bushes cost $17, about how much money will she spend on rose bushes?

Mrs Clark spends in total $119 on rose bushes.

Step-by-step explanation:

Here, the total length that needs to be covered  = 13 ft

The distance between 2 consecutive rose pant = 2 ft

Cost of planting each bush = $17

Now, if we plant first plant at 1 feet,

Then the second bush will be planted at a distance of 2 ft  + 1 ft = 3  ft

Third bush  = Second Bush  +  2 ft  = 3 ft +  2 ft  = At   5 ft

Fourth bush  = Third Bush  +  2 ft  = 5 ft +  2 ft  = At   7 ft

Fifth bush  = Fourth Bush  +  2 ft  = 7 ft +  2 ft  = At   9 ft

Sixth bush  = Fifth Bush  +  2 ft  = 9 ft +  2 ft  = At   11 ft

And, lastly Seventh bush  = Sixth Bush  +  2 ft  = 11 ft +  2 ft  = At   13 ft

So, as to cover a total of 13 ft, 7 bushes are planted in total which are 2 ft apart from one another.

Now, cost of planing 7 rose bushes  = 7 x ( Cost of planting 1 rose bush)

= 7 x ($17)  = $119

Hence, Mrs Clark spends in total $119 on rose bushes.

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

there would only be 50 odd numbers between 1 and 100 so therefor there would be 50 even so that would only be 50 odd numbers.