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balandron [24]
3 years ago
9

The cost per year to lease a coffee shop in downtown Austin varies directly with the size of the shop. If a 1,425 square foot sh

op costs $45,600 to lease for the year, how expensive is it to lease a shop that is 1,820 square feet
Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

Answer:

$58240

Step-by-step explanation:

45,600/1425 = 32

Therefore it costs $32 per square foot

32 x 1,820 = 58240

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Hey everybody! Not a super hard question here! Anybody think they can help me out?
kkurt [141]

Answer

B, the second choice

Step-by-step explanation:

the domain is defined as all possible x values of a function and the range is defined as all possible y values, so the domain would be all real numbers since x can be any value, and the range cannot be more than 3, since y=3 is the vertex of the parabola.

7 0
2 years ago
Match each function to its corresponding sequence.
givi [52]

The sequence and their functions are:

  • f(n) = f(n - 1) + 7 ⇒ 3, 10, 17, 24, 31.....
  • f(n) = f(n - 1) + 4n - 2 ⇒ 3, 9, 19, 33, 51.....
  • f(n) = 2[f(n - 1)] ⇒ 3, 6, 12, 24, 48.....

<h3>How to match the functions?</h3>

To do this, we simply set values for n and calculate the function values using the current value of n.

So, we have:

<u>Function 1: f(n) = f(n - 1) + 6n - 5 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 6(2) - 5 = 3 + 12 - 5 = 10

Let n = 3

f(3) = f(2) + 6(3) - 5 = 10 + 18 - 5 = 23

None of the sequence follows the pattern 3, 10, 23....

<u>Function 2: f(n) = f(n - 1) + 2n - 1 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 2(2) - 1 = 3 + 4 - 1 = 6

Let n = 3

f(3) = f(2) + 2(3) - 1 = 6 + 6 - 1 = 11

None of the sequence follows the pattern 3, 6, 11....

<u>Function 3: f(n) = f(n - 1) + 6 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 6 = 3 + 6 = 9

Let n = 3

f(3) = f(2) + 6 = 9 + 6 = 15

None of the sequence follows the pattern 3, 9, 15....

<u>Function 4: f(n) = f(n - 1) + 7 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 7 = 3 + 7 = 10

Let n = 3, 4 and 5

f(3) = f(2) + 7 = 10 + 7 = 17

f(4) = f(3) + 7 = 17 + 7 = 24

f(5) = f(4) + 7 = 24 + 7 = 31

So, we have:

f(n) = f(n - 1) + 7 ⇒ 3, 10, 17, 24, 31.....

<u>Function 5: f(n) = f(n - 1) + 4n - 2 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 4(2) - 2 = 3 + 8 - 2 = 9

Let n = 3, 4 and 5

f(3) = f(2) + 4(3) - 2 = 9 + 12 - 2 = 19

f(4) = f(3) + 4(4) - 2 = 19 + 16 - 2 = 33

f(5) = f(4) + 4(5) - 2 = 33 + 20 - 2 = 51

So, we have:

f(n) = f(n - 1) + 4n - 2 ⇒ 3, 9, 19, 33, 51.....

<u>Function 6: f(n) = 2[f(n - 1)] where f(1) = 3</u>

Let n = 2

f(2) = 2 * f(1) = 2 * 3 = 6

Let n = 3, 4 and 5

f(3) = 2 * f(2) = 2 * 6 = 12

f(4) = 2 * f(3) = 2 * 12 = 24

f(5) = 2 * f(4) = 2 * 24 = 48

So, we have:

f(n) = 2[f(n - 1)] ⇒ 3, 6, 12, 24, 48.....

Read more about sequence at:

brainly.com/question/6561461

#SPJ1

7 0
2 years ago
I need the answer for all the 6 questions and I also need them to be explained please... Fast...
Softa [21]
The answer is to isolte the unknown on one side by itself so
I hope you know how number lines because It is hard to do on branly so
1.
h-16 <u><</u>-24
add 16 to both sides
h<u><</u>8
graph



2. y+6 <u>></u>-13
subtract 6
y<u>></u>-19
graph


3. -3<n-8
add 8 to both sides
5<n
graph



4. 3<u><</u>m+1.4
subtract 1.4 from both sides
1.6<u><</u>m
graph




5. x+0.7>-0.3
subtract 0.7 from both sides
x>-1
graph




6. w-8<u>></u>5.6
add 8 to both sides
w<u>></u>13.6
graph
5 0
3 years ago
The reasures of two angles have a sum of 180°. The measures of the angles are in a ratio of 5:1. Determine the measures of both
Mademuasel [1]

Answer:

150° : 30°

Step-by-step explanation:

total ratio

5 + 1 = 6

ratio 1

180 ÷ 6 = 30

ratio 5

30 × 5 = 150

3 0
2 years ago
Please help me ASAP: Answer with : includes / not includes
Elodia [21]

Answer:

Step-by-step explanation:

The interval [4, ∞) all real numbers 4 and greater, whereas the interval (4,∞) not includes the endpoint 4.

3 0
2 years ago
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