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3 years ago

Which expression is equivalent to the one below?

Mathematics

1 answer:

Nutka1998 [239]3 years ago

6 0

Solving the expression $-\frac{1}{2}(10+\frac{1}{4})$ we get $-5-\frac{1}{8}$

So, Option B is correct.

Step-by-step explanation:

We need to solve the expression $-\frac{1}{2}(10+\frac{1}{4})$ and find the equivalent expression

Solving:

$-\frac{1}{2}(10+\frac{1}{4})$

Multiply -1/2 with the terms inside the bracket:

$=-\frac{1}{2}(10)-\frac{1}{2}(\frac{1}{4})\\=-\frac{10}{2}-\frac{1}{2*4}\\=-5-\frac{1}{8}$

So, solving the expression $-\frac{1}{2}(10+\frac{1}{4})$ we get $-5-\frac{1}{8}$

So, Option B is correct.

Keywords: Solving Fractions

Learn more about Solving Fractions at:

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Stella bought a dinette set on sale for $655. The original price was $1,299.

Pachacha [2.7K]

A) $644

b) 50%

work:
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3 years ago

Part 1

svetlana [45]

Answer:

A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.

B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.

Step-by-step explanation:

f(x) = 12x^2 + 5x - 2.

Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).

To find the roots of f(x), set f(x) = 0. Therefore:

12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:

12x^2 + 8x - 3x - 2 = 0.

4x(3x + 2) -1(3x+2) = 0.

(4x-1)(3x+2) = 0.

4x-1 = 0 or 3x+2 = 0.

x = 1/4 or x = -2/3.

It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!

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3 years ago

How many 2s are 120

sammy [17]

Answer: 2 can go into 120 60 times.

Step-by-step explanation:

120/2 = 60

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jasenka [17]

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Next: -9 + -4 which equals -13
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We change z2 to $z^{2}$

$z^{2}$ - 6(z) = 36

z(z) - 6

Because, we add up for the first two terms

Switch up, up the problem 6(z) - 6

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Then, let's multiply z - 6 from z - 6

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3 years ago

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Answer:

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Step-by-step explanation:

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