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Nikitich [7]
4 years ago
6

You work for a dress maker and your boss sends you to the fabric store to buy blue fabric she tells you to buy the best deal wha

t's is the best deal
20 yards for $30.00
40 yards for $45.00
50 yards for $70.00
65 yards for $85.00
Mathematics
1 answer:
PSYCHO15rus [73]4 years ago
4 0
Given <span>20 yards for $30.00, unit rate = $30 / 20 yards = $1.5 per yard

Given 40 yards for $45.00, unit rate = $45 / 40 yards = $1.13 per yard

Given 50 yards for $70.00, unit rate = $70 / 50 yards = $1.4 per yard

Given 65 yards for $85.00, unit rate = $85 / 65 yards = $1.31 per yard

The best deal is the cheapest rate which is 40 yard for $45.00
</span>
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Let R be the region in the first quadrant bounded by the graphs of y =x^2 and y=2x, as shown in the figure above. The region R i
Kobotan [32]

Answer:

The area between the two functions is approximately 1.333 units.

Step-by-step explanation:

If I understand your question correctly, you're looking for the area surrounded by the the line y = 2x and the parabola y = x², (as shown in the attached image).

To do this, we just need to take the integral of y = x², and subtract that from the area under y = 2x, within that range.

First we need to find where they intersect:

2x = x²

2 = x

So they intersect at (2, 4) and (0, 0)

Now we simply need to take the integrals of each, subtracting the parabola from the line (as the parabola will have lower values in that range):

a = \int\limits^2_0 {2x} \, dx - \int\limits^2_0 {x^2} \, dx\\\\a = x^2\left \{ {{x=2} \atop {x=0}} \right - \frac{x^3}{3}\left \{ {{x=2} \atop {x=0}} \right\\\\a = (2^2 - 0^2) - (\frac{2^3}{3} - \frac{0^3}{3})\\\\a = 2^2 - \frac{2^3}{3}\\a = 4 - 8/3\\a \approx 1.333

So the correct answer is C, the area between the two functions is 4/3 units.

3 0
3 years ago
True or false: both functions and relations can be represented by mapping diagrams
VMariaS [17]

Answer:

Step-by-step explanation: the answer is true

8 0
3 years ago
Three decreased by eleven times a number
Vadim26 [7]

Step-by-step explanation:

3 - 11x

x is "a number".

so, the request is to multiply it by 11 and subtract the result from 3.

6 0
2 years ago
Please Help! I will give you a lot of points if you do!
Tanzania [10]

Answer:

47

Step-by-step explanation:

According to the number system 7 lines and 12 dots, a line is 5 and a dot is 1

you do 5*7+12 which is equal to 47

So the answer is 47,

Hope this helps!

7 0
3 years ago
Read 2 more answers
What is the circumference if the diameter is 21in and pi is 22/7
Ede4ka [16]

Answer:

66 in

Explanation:

the circumference can be calculated as:

C=d\cdot\pi

Where d is the diameter and π is 22/7.

So, replacing the values, we get:

C=21\cdot\frac{22}{7}=\frac{21\cdot22}{7}=\frac{462}{7}=66\text{ in}

Therefore, the circumference is 66 in.

6 0
2 years ago
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