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abruzzese [7]
2 years ago
8

Solve (3x – 2)= 49 using the Square Root Property (completing the square).

Mathematics
1 answer:
morpeh [17]2 years ago
3 0

Answer:

(3x-2)=49

(3x-2)=7×7

3x=7×7+2

3x=49+2

3x=51

3x/3=51/3

×=17

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Plz write this on paper help me and send it❤️
vovangra [49]

Answer:

1. 27^{\frac{2}{3} } =9

2. \sqrt{36^{3} } =216

3. (-243)^{\frac{3}{5} } =-27

4. 40^{\frac{2}{3}}=4\sqrt[3]{25} =4325

5. Step 4: (\frac{343}{27}) ^{-1} =\frac{27}{343}

6. D. -72cd^{7}

Step-by-step explanation:

Use the following properties:

a^{\frac{x}{y} } =\sqrt[x]{a^{y} }

\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}

a^{-n} =\frac{1}{a^{n} }

(xy)^{z} =x^{z} y^{z} \\\\

(x^{y}) ^{z} =x^{yz}

x^{y} x^{z} =x^{y+z}

So:

1. 27^{\frac{2}{3} } =\sqrt[3]{27^{2}} =\sqrt[3]{729} }=9

2. \sqrt{36^{3} } =\sqrt{36*36*36} =\sqrt{36} \sqrt{36}  \sqrt{36} =6*6*6=216

3. (-243)^{\frac{3}{5} } =\sqrt[5]{-243^{3} } =\sqrt[5]{-14348907} =-27

4. 40^{\frac{2}{3}}=\sqrt[3]{40^{2} } =\sqrt[3]{2^{6} 5^{2} } =\sqrt[3]{2^{6} } \sqrt[3]{5^{2} } =2^{\frac{6}{3} } 5^{\frac{2}{3} } =4 *5^{\frac{2}{3} } =4\sqrt[3]{5^{2} } =4\sqrt[3]{25}=4325

5. (\frac{343}{27}) ^{-1} =\frac{1}{\frac{343}{27} } =\frac{27}{343}

6.

(-8c^{9} d^{-3} )^{\frac{1}{3} } *(6c^{-1}d^{4})^{2} =\sqrt[3]{-8} c^{3} d^{-1} 36c^{-2} d^{8} \\\\-2c^{3} d^{-1} 36c^{-2} d^{8}=-72cd^{7}

7 0
3 years ago
Which of the following expressions is true?
adoni [48]
It is B because 52 • 53 is 2756 which is greater than 55
6 0
2 years ago
Two taxi companies in a city only charge by mileage and do not charge an initial fee. If Taxi 1 charges $3.00 per miles and Taxi
Bumek [7]

Answer:

A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.

Step-by-step explanation:

Given that:

Charges of taxi 1 = $3.00 per mile

Charges of taxi 2 = $1.77 per kilometer

1 mile = 1.61 kilometers

To find:

Cost of a 12 miles ride for taxi 1 and taxi 2.

Solution:

Let us first convert the charges of each taxi to per mile.

Taxi 1 charges are already given in per mile.

Charges for 1 mile = $3

Charges for 12 miles = 3 \times 12 = <em>$36</em>

Taxi 2 charges = 1.77 \times 1.61 = $2.85 per mile

Charges for 12 miles = 2.85 \times 12 = <em>$34.20</em>

<em></em>

Therefore, the answer is:

<em>A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.</em>

8 0
3 years ago
Assume that a researcher measured self-esteem in 25 seventh-grade girls. The girls rated their self-esteem on a scale ranging fr
dezoksy [38]
Ya multimodel
and mode is 49,27
6 0
3 years ago
Can anyone help me with these 2 problems?
Westkost [7]

A)

10.00 - 3.55 = 6.45 back

a $5 bill and a $1 dollar bill = $6

a quarter and 2 dimes = 0.45

 so 2 bills and 3 coins


B) 120 x 4 = 480 minutes

480/60 = 8 hours

8 0
3 years ago
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