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ehidna [41]
3 years ago
8

According to the Square Root property of Equations, the solution set of x2 = 25 is {±5}.

Mathematics
1 answer:
Gala2k [10]3 years ago
7 0
Justify "<span>x2 = 25 is {±5}"

First, please write x^2, not x2.

</span><span>x^2 = 25; solve for x.  Take the sqrt of both sides.  Must write "plus or minus " in front of the sqrt of 25:

x^2 = 25 becomes x = plus or minus 5, so x: {-5, 5}</span>
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You are shopping for carpet for your living room which measures 19 feet by 12 feet. Charlie's Carpets sells carpet for $18 per s
Kamila [148]
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Charlie's Carpets:
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Carpet : $18/yd
Installation: $2/yd

Discount: 20% x $18 = 0.2 x 18 = $3.60
Carpet Price after discount = $18 - $3.60 = $14.40/yd²

Carpet Price with installation $14.40 + $2 = $16.40/yd²

----------------------------
Cindy's Carpet
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Carpet = $18/yd²

Discount = 10% = 0.1 x $18 = $1.80
Price after Discount = $18 - $1.80 = $16.20/yd²

----------------------------
Summary:
----------------------------
Charlie's Carpet = $16.40/yd²
Cindy's Carpet = $16.20/yd²

CIndy's Carpet is cheaper.

----------------------------
Find Cost:
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Length = 19 x 1/3 = 19/3 yards
Width = 12 x 1/3 = 4 yards

19/3 x 4 = 25 1/3 yd²

Cost = 25 1/3 x $16.20 = $410.40

------------------------------------------------------------------------------------
Answer: Cindy's Carpet is cheaper and it will cost $410.40.
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4 0
3 years ago
Tom predicted that the Giants would score three 3-point field goals, score two 6-point touchdowns, and score 1 extra point. If T
Bingel [31]
3*3 = 9

2*6 = 12

1*1 = 1

9+12+1 = 22

The Giants would score 22 points if Tom is correct

6 0
3 years ago
Read 2 more answers
What value of x satisfies
LenaWriter [7]

Answer:

See explanation

Step-by-step explanation:

The given trigonometric equation is cos(90-x)=-\frac{\sqrt{3} }{3}.

We take the inverse cosine of both sides to get:

90-x=cos^{-1}(-\frac{\sqrt{3} }{3})

90-x=125

x=125-90

x=-35\degree=325\degree to the nearest degree

None of the options satisfies the given equation.

But if the question is actually;

cos(90-x)=-\frac{\sqrt{3} }{2}

Then;

90-x=\cos^{-1}(-\frac{\sqrt{3} }{2}).

90-x=210.

90-x=210.

x=-120\degree.

Or

x=360-120=240\degree.

In this case the answer will be B

5 0
3 years ago
Read 2 more answers
Calculate the effective annual interest rate if the annual interest rate, i, is 9%.
jeyben [28]
B. ) Unless you're missing some data.
4 0
3 years ago
Read 2 more answers
The table shows the number of minutes Garrett practiced his trombone each week in one month. Week Number of Minutes Practiced 1
vredina [299]

Answer:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

The reason is because we assume that each week have the same weight and replacing we got:

\bar X= \frac{190+163+327+205}{4}= 221.25

And the best option would be:

D. 221.25

Step-by-step explanation:

For this case we have the following data given

Week       1       2         3       4

Minutes  190   163   327   205

For this case we can find the mean with the following formula:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

The reason is because we assume that each week have the same weight and replacing we got:

\bar X= \frac{190+163+327+205}{4}= 221.25

And the best option would be:

D. 221.25

4 0
3 years ago
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