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Sergeu [11.5K]
3 years ago
13

Evaluate the expression. 1/2 - 4 (1/2 + 1)^2

Mathematics
2 answers:
insens350 [35]3 years ago
6 0

Answer:

D. -17/2

Step-by-step explanation:

1/2 - 4 (1/2 + 1)^2

First we evaluate what is inside the parentheses

1/2 - 4  (3/2) ^2

Now we square what is inside the parentheses

1/2 - 4(9/4)

Now multiply

1/2 -9

Get a common denominator  9 = 9 *2/2 = 18/2

1/2 - 18/2

-17/2


Sidana [21]3 years ago
5 0

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

--------------------------------------------------------------------------------------

\dfrac{1}{2}-4\left(\dfrac{1}{2}+1\right)^2=\dfrac{1}{2}-4\left(1\dfrac{1}{2}\right)^2=\dfrac{1}{2}-4\left(\dfrac{1\cdot2+1}{2}\right)^2\\\\=\dfrac{1}{2}-4\left(\dfrac{3}{2}\right)^2=\dfrac{1}{2}-4\cdot\dfrac{3^2}{2^2}=\dfrac{1}{2}-4\cdot\dfrac{9}{4}=\dfrac{1}{2}-1\cdot\dfrac{9}{1}\\\\=\dfrac{1}{2}-9=\boxed{-8\dfrac{1}{2}=-\dfrac{8\cdot2+1}{2}=\boxed{-\dfrac{17}{2}}}\to\boxed{D.}

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Drag the phrases into the box to match each expression. 3/4x+1/2 ​ 3/4−1/2x ​ ​ 3/4−(x+1/2) ​ 20 pointss!!! i know i must be cra
fomenos

Answer:

\frac{3}{4}x + \frac{1}{2} = One-half more than three-fourths of a number

\frac{3}{4}-\frac{1}{2}x = Three-fourths minus one-half of a number

\frac{3}{4}-(x+\frac{1}{2}) = three-fourths minus the sum of a number and one-half

Step-by-step explanation:

Suppose x be an unknown number.

∵ 3/4th of a number = \frac{3}{4}x

\frac{3}{4}x + \frac{1}{2} = One-half more than three-fourths of a number

Now, half of a number = \frac{1}{2}x

\frac{3}{4}-\frac{1}{2}x = Three-fourths minus one-half of a number

Sum of a number and one-half = x+\frac{1}{2}

\frac{3}{4}-(x+\frac{1}{2}) = three-fourths minus the sum of a number and one-half

6 0
3 years ago
Rank the following methods of timekeeping from most precise to least precise. ANSWER ASAP AND GET BRAINLIEST
PtichkaEL [24]

Answer:

Most precise to least precise

  1. Finding the height of the sun in the sky
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2 years ago
a coin is tossed, then a letter in the word accomplishment is chosen at random. find the probability of heads, then a vowel
emmasim [6.3K]

Answer:

\frac{5}{52}

Step-by-step explanation:

Coin toss:

Total\ outcome=\{H,T\}\\\\Favourable\ outcome=\{H\}\\\\P(Head)=\frac{Favourable\ outcome}{Number\ of\ total\ outcome}\\\\P(Head)=\frac{1}{2}

Letter Selection:

Number\ of\ total\ outcomes=26\ \ \ \ \ \ \ as\ total\ letters\ are\ 26\\\\Favourable\ outcomes=5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ as\ there\ are\ 5\ vowels\\\\P(vowel)=\frac{Favourable\ outcomes}{Number\ of\ total\ outcomes}\\\\P(vowel)=\frac{5}{26}

These\ two\ events\ are\ independent.\\\\Hence\ probability\ of\ head\ and\ then\ vowel=\frac{1}{2}\times \frac{5}{26}=\frac{5}{52}

4 0
3 years ago
19√$1143.8<br>can anyone solve this
IrinaK [193]
Well 19\sqrt{ $1143.8} =  19\sqrt{1143.8}

Simplified would be: 642.58213482

642.58213482 = 642.58 = $642.58

Answer: <span>642.58

Hope this helps!

</span>
5 0
3 years ago
What is the answer to (z+1)(z+2)
stich3 [128]

Answer:

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Step-by-step explanation:

(z+1)(z+1)

Multiply each term in the first parenthesis by each term in the second parenthesis

Z x z+2z+z+2

Calculate the product

<u>z</u>^2 +2z+z+2

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If a term doesnt have a coefficient it is considered that the coefficient is 1

2z+1z

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(2+1)z

3z

z^2+3z+2

4 0
3 years ago
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