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3 years ago

Why does: 5x+3x+2x = 10x and not 10xxx?

Mathematics

2 answers:

Helen [10]3 years ago

8 0

Because you are not adding the x's .When you add the coefficients, the variable comes along with it.

atroni [7]3 years ago

7 0

Because you are adding an amount of the same variable. They are like terms so you would combine them. If it was 10xxx it would be 10+3x. But, 5x+3x+2x is 10 because 3x+2x is 5 and 5x+5x is 10x. You do not add the actual x's together, just the amount that is shown.
Think of it as this way:
5x = x x x x x
3x = x x x
2x = x x
in total, there are 10 x's

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3 years ago

Suppose that a regression line for some data transformed with logarithms predicts that when x equals 4, log(y) will equal 3.331.

deff fn [24]

Option D

The regression line predicts that at x = 4, y equals 2143

Solution:

Given that when x equals 4, log(y) will equal 3.331

To find: Find y when x equals 4

Since we have given that,

When x = 4,

$\text{ log } y = 3.331$

We need to find the value of 'y' when x = 4

$log_{10}y = 3.331$

Since it is logarithmic function with base 10, Raise to power of 10 on both sides,

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3 years ago

Solve the equation y+(-6)=-9

Anni [7]

$y-6=-9$
Add 6 to both sides

$y=-3$

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3 years ago

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The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 10

LekaFEV [45]

Step 1
find the coordinates of the factory
the factory is 104 miles due north of the warehouse

the coordinates of the warehouse are (39,-52)
coordinates of the factory------> (39,-52+104)------> (39,52)

step 2

find the distance warehouse to airport
let
A coordinates of warehouse-------> A( 39,-52)
B coordinates of airport---------> B(-39,52)
C coordinates of factory-------> C(39,52)

distance AB=√[(52+52)²+(-39-39)²]------> distance AB=130 miles

step 3
find the distance airport to factory
B(-39,52)
C(39,52)
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the total number of miles=distance AB+distance BC---> 130+39
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the answer is
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Answer:

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Step-by-step explanation:

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