The correct answer is: "
" .
____________________
<u>Step-by-step explanation</u>:
Based on the assumption that the "1" repeats infinitely; in the given value:
" 33.61111111 ...." ;
_______
Note that the "611" ; after the decimal point; this goes to the "thousandths";
place (is "3 (three) digits long.").
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As such; we rewrite the number as:
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"
" ;
and we multiply BOTH the "numerator" And the "denominator" by: "1000" :
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→ "
" ;
to get:
→ "
" ; → which cannot be reduced any further.
_______
The correct answer is: "
" .
_______
Hope this is helpful to you!
Wishing you the best!
_______
Answer:
![y=2x-1](https://tex.z-dn.net/?f=y%3D2x-1)
Step-by-step explanation:
Use the slope-intercept formula:
where m is slope and b the y-intercept.
![(-2,-5)(4,7)](https://tex.z-dn.net/?f=%28-2%2C-5%29%284%2C7%29)
Use the slope formula for when you have two points:
![\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}](https://tex.z-dn.net/?f=%5Cfrac%7By%282%29-y%281%29%7D%7Bx%282%29-x%281%29%7D%3D%5Cfrac%7Brise%7D%7Brun%7D)
Rise over run is the change in the y-axis over the change in the x-axis. Insert values:
![\frac{7-(-5)}{4-(-2)}](https://tex.z-dn.net/?f=%5Cfrac%7B7-%28-5%29%7D%7B4-%28-2%29%7D)
Simplify parentheses (negative+negative=positive)
![\frac{7+5}{4+2}](https://tex.z-dn.net/?f=%5Cfrac%7B7%2B5%7D%7B4%2B2%7D)
Simplify
![\frac{12}{6}=2](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B6%7D%3D2)
2 is the slope:
![y=2x+b](https://tex.z-dn.net/?f=y%3D2x%2Bb)
Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:
(4,7)
![y=2x+b\\7=2(4)+b](https://tex.z-dn.net/?f=y%3D2x%2Bb%5C%5C7%3D2%284%29%2Bb)
![7=8+b\\7-8=8-8+b\\7-8=b\\-1=b\\b=-1](https://tex.z-dn.net/?f=7%3D8%2Bb%5C%5C7-8%3D8-8%2Bb%5C%5C7-8%3Db%5C%5C-1%3Db%5C%5Cb%3D-1)
The y-intercept is -1. Insert into the equation. Change the + symbol to -:
![y=2x-1](https://tex.z-dn.net/?f=y%3D2x-1)
Done.
Hi Quanzia25,
Solution:
45mph
45mph x 4hrs. = 180 miles in 4 hours
45 / 3 = 15
180 + 15 = 195
Answer:
The car has traveled 195 miles.
You said there were 40 yellow carsso 40×9 is 360
Answer:
-4
Step-by-step explanation:
-1 + -3 = -4