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2 years ago

What is the solution set of (3 x - 1) ^2 = 5?

Mathematics

1 answer:

exis [7]2 years ago

8 0

Answer: Consider the equation

Taking square root on both the sides of the equation, we get

Consider

adding '1' to both sides, we get

Dividing by '3', we get

Consider

adding '1' to both sides, we get

Dividing by '3', we get

So, the solution set for this equation is and .

Question 2:

Consider the equation

We will use quadratic formula, we get

So, the solution set for this equation is .

Question 3:

Consider the equation

By using the quadratic formula, we get

so, the solution set for this equation is .

Step-by-step explanation:

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Help how do i solve this

n200080 [17]

For 26
ST is = TU

27
2x-1=15
2x=16
X=8

4 0

3 years ago

The cost of 3 notebooks and 2 pencils is $5.10. At the same prices, the cost of 2 notebooks and 3 pencils is $4.65. What is the

Pepsi [2]

Answer:

$1.95

Step-by-step explanation:

notebook = n

pencil = p

3n + 2p = 5.10

2n + 3p = 4.65

multiply top equation by 2 and bottom by 3

6n + 4p = 10.20

6n +9p = 13.95

subtract bottom equation from the top equation

-5p = -3.75

divide by 5, negatives cancel out

p = 0.75

sub p into either equation, I chose the original top equation

3n + 2(0.75) = 5.10

3n + 1.50 = 5.10

subtract 1.50 from both sides

3n = 3.60

divide both sides by 3

n = 1.20

p = 0.75

n + p = 1.95 (the fourth option)

4 0

3 years ago

Solve with completing the square method:<br>6x²-7x+2=0 and ax²+bx+c=0

Norma-Jean [14]

$6x ^2-7x+2=0\\ \\ a=6 , \ b = -7 , \ c=2 \\ \\\Delta = b^{2}-4ac = (-7)^{2}-4*6*2=49-48=1 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{7-\sqrt{1}}{2*6}=\frac{7-1}{12} =\frac{6}{12}= \frac{1}{ 2}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{7+\sqrt{1}}{2*6}=\frac{7+1}{12} =\frac{8}{12}= \frac{2}{ 3}$

7 0

3 years ago

if U={natural number less than 10}, M={multiples of 2}, N={factors of 8} and O={even number} then can we write M intersection (N

mr_godi [17]

Answer:

yes

Step-by-step explanation:

u={1,2,3,4,5,6,7,8,9}

m={2,4,6,8}

N={1,2,4,8}

O={2,4,6,8}

Now

M intersection (N intersection O) = (M intersection N) intersection O

or , {2,4,6,8} intersection {2,4,8} ={2,4,8}

intersection {2,4,6,8 }

:. {2,4,8} ={2,4,8}

7 0

3 years ago

A blueprint uses a scale factor of 3 inches = 2 feet. What is the area on the blueprint of a 3,500 square foot house in inches?

lyudmila [28]

Answer:

7875 square inches

Step-by-step explanation:

4ft^2 = 2ft * 2ft

4ft^2 = 3in * 3in

4ft^2 = 9in^2

For 3,500 square foot

3,500 square foot = x

Divide bith expressions

4/3500 = 9/x

4x = 9 * 3500

4x = 31500

x = 31500/4

x = 7875 square inches

Hence the area of the house in inches is 7875 square inches

6 0

2 years ago