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3 years ago

6

Prove that 1=2 with well arranged steps and justify each step

1 answer:

Shtirlitz [24]3 years ago

3 0

<span>Justification Step 1: Let a = b. Step 2: Then a^2 = ab , Step 3: a^2 + a^2 = a^2 + ab , Step 4: 2a^2=a^2 + ab, Step 5: 2a^2 - 2ab = a^2 + ab - 2ab, Step 6: and 2a^2 - 2a^b = a^2 + ab - 2ab . Step 7: This can be written as 2(a^2 - ab) = 1(a^2 - ab) , Step 8: and cancelling the (a^2 - ab) from both sides gives 1 = 2.</span>

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I need help once again.

muminat

The dimensions of the prism can be 2x, 2x+3 and x+6.

We first factor out the GCF of the trinomial. The GCF of the coefficients is 2. Each term has an x in common as well, so the GCF is 2x.

Factoring out the 2x, we have
2x(2x²+15x+18).

To factor the remaining trinomial, we find factors of 2*18=36 that sum to 15. 12*3 = 36 and 12+3 = 15. We split up 15x into 12x and 3x:

2x(2x²+12x+3x+18)

Now we group together the first two terms in parentheses and the last two:
2x((2x²+12x)+(3x+18))

Factor out the GCF of the first group:
2x(2x(x+6)+(3x+18))

Factor out the GCF of the second group:
2x(2x(x+6)+3(x+6))

Factoring out what these have in common,
2x(x+6)(2x+3)

8 0

3 years ago

Select all possible values for x in the equation x^3=375?

Helga [31]

<h2>Hello!</h2>

The answers are:

The possible values for x in the equation, are:

First option, $5\sqrt[3]{3}$

Second option, $\sqrt[3]{375}$

<h2>Why?</h2>

To solve the problem, we need to remember the following properties of the exponents and roots:

$a\sqrt[n]{b}=\sqrt[n]{a^{n}*b} \\\\\sqrt[n]{a^{m} }=a^{\frac{m}{n}}\\\\(a^{b})^{c}=a^{b*c}$

Then, we are given the expression:

$x^{3}=375$

So, finding "x", we have:

$x^{3}=375\\\\(x^{3})^{\frac{1}{3} } =(375)^{\frac{1}{3}}\\\\x=\sqrt[3]{375}=\sqrt[3]{125*3}=\sqrt[3]{125}*\sqrt[3]{3}=5\sqrt[3]{3}$

Hence, the possible values for x in the equation, are:

First option, $5\sqrt[3]{3}$

Second option, $\sqrt[3]{375}$

Have a nice day!

7 0

3 years ago

Sue made a batch of snack mix for the party. She combined 12 ounces of mixed nuts, 20 ounces of cereal, and 8 ounces of pretzels

Levart [38]

Answer:

The pretzels are 20% of the total weight of the snack.

Step-by-step explanation:

Total weight 12 + 20 + 8 = 40

So 8 / 40 = 20%

6 0

3 years ago

I'm having a little bit of trouble figuring out the formula to solve this problem.

goldfiish [28.3K]

Answer:Red price hast he least least cost per gram of apple.

Step-by-step explanation:

1) considering Royal Gala, 75 gram apple cost $0.41

The cost per gram is 0.41/75 = $0.0055

2) considering Honey crisp, 93 gram apple cost $0.82

The cost per gram is 0.82/93 = $0.0088

3) considering Red Prince, 81 gram apple cost $0.36

The cost per gram is 0.36/81 = $0.0044

Since $0.0044 per gram is the lowest of the three, then the type of apple with the least cost per gram is Red prince.

6 0

3 years ago

The cost of 9 scares is $78.75 what is the unit price ?

Vlad [161]

Answer:

$8.75

Step-by-step explanation:

5 0

2 years ago