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3 years ago

Rewrite the expression without using grouping symbols. 4(x – 2)

Mathematics

2 answers:

iren2701 [21]3 years ago

6 0

4(x – 2)

distribute

4*x -4*2

4x -8

Sliva [168]3 years ago

5 0

An equivalent equation is 4x-8

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shaquana has a deck that measures 18 feet by 15 feet. She wants to increase each dimension by equal lengths so that its area tri

Svetach [21]

to increase each dimension by equal lengths so that its area triples is 12 feet.

The given dimensions are 18 feet by 15 feet.

We need to find how much should each dimension increase.

Shaquana wants to increase each dimension by equal lengths so that its area triples.

Let the increased length be x.

So, length =18+x feet and width=15+x feet.

As we know, the area of a deck=Length×Width

The original area of a deck=18×15=270 square feet.

Now, the new area of a deck=(18+x )×(15+x)=3×270

⇒270+15x+18x+x²=810 square feet

⇒x²+33x-540=0

Here, a=1, b=33 and c=-540 in $x=\frac{-b\±\sqrt{b^{2-4ac} } }{2a}$ .

⇒ $x=\frac{-33\±\sqrt{33^{2} -4 \times (-540)} }{2 \times 1}$

⇒ $x=\frac{-33\±\sqrt{1089 +2160} }{2 \times 1}=\frac{-33\±57}{2}$

⇒x=-45 or x=12

Length can not be a negative integer.

Therefore, to increase each dimension by equal lengths so that its area triples is 12 feet.

To learn more about the area of a rectangle visit:

brainly.com/question/20693059.

#SPJ1

6 0

2 years ago

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

e-lub [12.9K]

Answer with Step-by-step explanation:

Since the given event is binary we can use Bernoulli's probability to sove the problem

Thus for an event 'E' with probability of success 'p' the probability that the event occurs 'r' times in 'n' trails is given by

$P(E)=\frac{n!}{(n-r)!\cdot r!}\cdot p^{r}\cdot (1-p)^{n-r}$

Part a)

For part a n = 11 , r =9, p = 0.75

Applying values we get

$P(E)=\frac{11!}{(11-9)!\cdot 9!}\cdot (0.75)^{9}\cdot (1-0.75)^{11-9}\\\\\therefore P(E)=0.2581$

Part b)

For part b n = 20 , r = 16 , p=0.75

Applying values we get

$P(E)=\frac{20!}{(20-16)!\cdot 16!}\cdot (0.75)^{16}\cdot (1-0.75)^{20-16}\\\\\therefore P(E)=0.1896$

3 0

4 years ago

What is 800.5x(2x10^6)

Mazyrski [523]

Answer:

1601000000

Step-by-step explanation:

just put it in the home screen of the calculator

3 0

3 years ago

Please help! - Due Today

Dmitriy789 [7]

To explain it in words say. “The answer is 2 because you would first multiply the negative on the inside of the parentheses by the 2 which would give you - (-2). Next, you would multiply the negative on the outside of the parentheses by the -2 inside the parentheses which would give you the answer of 2 because a negative times a negative is a positive.”

I hope this is a good enough explanation.

4 0

3 years ago

Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses

Veseljchak [2.6K]

4i/(1+i) + (6+3i)

multiply the first fraction by the conjugate

2i + 6+3i = 6+5i

6+5i

6 0

3 years ago