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Jet001 [13]
2 years ago
7

5. Becca wants to edge her hexagonal garden

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
6 0

Answer:

(a)\ Perimeter = 6l

(b)\ Cost = \$36l

Step-by-step explanation:

Given

l \to sides

Solving (a): The perimeter

The shape has 6 sides; since the sides are equal, the perimeter is:

Perimeter = 6 * l

Perimeter = 6l

Solving (b): Cost of fencing

We have:

Unit\ cost = \$6/yd

So, the cost is:

Cost = Unit\ cost * Perimeter

Cost = \$6/yd * 6l

Cost = \$36l

<em>To get the actual answer, substitute the length of one side of the hexagonal in the calculated expressions</em>

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DiKsa [7]
The y-intercept is found when x is set to 0.

Set x to equal 0 for both equations:

3(0) - 2y = -6
-2y = -6

Divide both sides by -2:

y = 3

The y-intercept of this equation is 3, so the first line does not have the y-intercept of -2.

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0 + 2y = -2
2y = -2

Divide both sides by 2:

y = -1

The y-intercept of this equation is -1, so the second line does not have the y-intercept of -2.

Neither line has a y-intercept of -2.

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3 years ago
Rope: 15 feet, cut 4 sections how long is each section of rope?
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Answer: each rope is 3.75 inches long!

15 divided by 4 is 3.75. Please mark brainliest

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3 years ago
Which expression is equivalent to 4.2a−2(0.4a−1.3)
Sati [7]

Answer:

the 3rd one

Step-by-step explanation:

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3 years ago
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Sarah belongs to a gym and health spa that is conveniently located between her home and her job. It is one of the nicer gyms in
Vera_Pavlovna [14]

Answer:

1) She would save money if she paid per-visit. She would only pay %72 of what she pays monthly

2) She goes to the gym %43 of the days of the year

3) If she goes every day to the gym, she would spend $150 per month if she paid per-visit, that is %67 more than the $90 monthly fee

Step-by-step explanation:

1) She goes to the gym 3 times per week, so she goes 3*4.3 = 12.9 times per month. Thus, if she were to pay only $5 per day instead of a monthly membership, she would spend 5*12.9 = $64.5 per month.

Therefore, she would save money if she paid on a per visit basis, by using a rule of three, we can conclude that she would spend only 64.5*100/90 = %72 of her monthly $90 fee.

2) If she goes 3 times per week, she is going 3 days out of 7, thus, she is going 3*100/7 = %43  days of the year.

3) If a month has 30 days, then she would spend 30*5 = $150 if she paid per-visit and she went to the gym every day. That is $60 more than the $90 she spends for her monthly membership, in other words, it is 60*100/90 = %67 more than the %90 monthly rate.

5 0
3 years ago
Select the correct answer from each drop-down menu. observe the functions below. complete the following sentences to compare the
MrRissso [65]

The answers will be:

  1. (4, 5)
  2. remain constant and increase
  3. g(x) exceeds the value of f(x)

<h3>What is Slope and curve?</h3>

a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).

b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).

c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:

 f(8) = 4·8 +3 = 35

 g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35

 g(8) > f(8)

d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).

To know more about Slope follow

brainly.com/question/3493733

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