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3 years ago

Solve for x: 2|2x − 2| + 4 = 20.

2 answers:

8 0

Subtract 4 from both sides of the equation.
2|2x−2|=16Divide both sides of the equation by 2.
|2x−2|=8Set 2x-2 equal to positive and negative 8.
2x−2=8,2x−2=−8Solve both equations for x.
x=5,−3

Free_Kalibri [48]3 years ago

7 0

2|2x − 2| + 4 = 20.
2|2x − 2| = 20.- 4
2|2x − 2| = 16
|2x − 2| =8

That means:
1st: 2x-2 = 8 and 2nd: 2x - 2 = -8
1st: 2x=10 and x = 5

2nd 2x-2=-8, 2x = -6 and x = -3

So x = 5 and x = -3 (1st answer)

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This is about fractions i have three questions: 1} subtract 3 1/4 from 4 2/3 2}simplify 7 3/4 divided by 8/62 3} subtract the su

Scrat [10]

Answer:

1 5/12
60 1/16
11/35

Step-by-step explanation:

1) 4 2/3 - 3 1/4 = (4 -3) +(2/3 -1/4) = 1 + (8/12 -3/12) = 1 5/12

2) (7 3/4)/(8/62) = (31/4)(62/8) = (31/4)(31/4) = 961/16 = 60 1/16

3) (2 5/7 +3 2/3) -(4 2/3 +1 2/5) = (2 + 3 -4 -1) +(5/7 +2/3 -2/3 -2/5)

= 5/7 -2/5 = (25 -14)/35 = 11/35

_____

Notes on arithmetic with fractions

It can be helpful to make use of a common denominator when adding or subtracting fractions. Your knowledge of multiplication tables can help you find a suitable common denominator. Without too much effort, you can use the product of denominators as the common denominator, though doing that may require you to reduce the resulting fraction.

If you need a formula for addition or subtraction of fractions, this is it:

a/b + c/d = (ad +bc)/(bd)

A sign can be attached to any of these numbers, so that ...

a/b - c/d = (ad -bc)/(bd)

Using this formula is how we worked problem 3. It is essentially the same as rewriting each fraction to use the common denominator bd:

a/b = ad/(bd)

c/d = bc/(bd)

Of course, division of fractions (or any sort of division, actually) is the same as multiplying by the inverse (reciprocal) of the denominator. The mantra "invert and multiply" can be a useful reminder of this.

5 0

3 years ago

What are the domain and range of this function y=(x+3)^2 -5

n200080 [17]

Answer: Choice A

Note: the range should be $[-5, \infty)$ . See explanation below.

===================================================

We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say $(-\infty, \infty)$ which is interval notation. It represents the interval from negative infinity to positive infinity.

The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that $y \ge -5$ and that translates to the interval notation $[-5, \infty)$ .

The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote $(-5, \infty)$ for choice A, when they should have written $[-5, \infty)$

I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.

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3 years ago

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3 years ago

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mestny [16]

Answer:

What is the theoretical probability that Marco will choose a card with a heart on it? It will be 1/4

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Step-by-step explanation:

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3 years ago

FIRST ANSWER GETS A BRAINLEST The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge length

-Dominant- [34]

Answer:

2 /3 cm3

Step-by-step explanation:

V = (6

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Can also be solved by counting the fractional cubes.

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3 years ago

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