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Alex Ar [27]
3 years ago
14

Write -2 + 4 + -8 + ...+ 64 +-128 in sigma notation. Then determine the sum.

Mathematics
1 answer:
Grace [21]3 years ago
4 0
It would be -70. Your welcome
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Give an equation for the result of shifting the graph of up by 4 units, and left by 2 units.
andreyandreev [35.5K]

We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.

For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:

g(x) = f(x + 2) + 4

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

Let's see how to solve this.

We need to start by defining the two most common translations (also known as shifts).

Horizontal translation:

For a given function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

where if N is positive,<em> the translation is to the left.</em>

If N is negative, <em>the translation is to the right.</em>

Vertical translation:

For a given function f(x), a vertical translation of N units is written as:

g(x) = f(x) +  N

Where if N is positive,<em> the translation is upwards.</em>

If N is negative, <em>the translation is downwards.</em>

Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.

<em>The shift up of 4 units is written as:</em>

<em>g(x) = f(x) + 4</em>

<em>The shift of 2 units to the left is written as:</em>

<em>g(x) = f(x + 2) </em>

<em>These two together give:</em>

<em>g(x) =  f(x + 2) + 4.</em>

This is the equation we wanted to get.

If you want to learn more, you can read:

brainly.com/question/24401156

3 0
2 years ago
Solve: 3x^2+16x+5=0
ExtremeBDS [4]

Answer:

(3x+1)(x+5)

Step-by-step explanation:

Sorry for my handwriting lol hope this makes sense

6 0
3 years ago
Explain why the expression 10 to the power of zero, one to the power of four and 1×1.0 to the power of zero have the same value
Nina [5.8K]

Answer:

10*0=1, according to the law of indices which states that anything to the zero power is equal to one

1*4=1×1×1×1=1

1×1.0=1.0=1

3 0
3 years ago
A farmer wants to increase the size of one of his square pens. The pen measures 10 feet on each side. The farmer plans to increa
Oxana [17]

Answer:

156 feet larger

Step-by-step explanation:

Alright so 160% of 10 is 16 , now we do 16x16 = 256

Now we do 10x10 to find the old square feet which is 100

256-100=156

4 0
2 years ago
Is 28 cups greater or less than 14 Pints
marissa [1.9K]
Short answer: NO.

28 cups is exactly equal to 14 pints. (There are 2 cups per pint.)
3 0
3 years ago
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