Answer:
Harper is 200 yards away from her home if the map shows 3 inches
Step-by-step explanation:
50 yards = 3/4 inch
3 inches = 3/1
3/1 x 4/4 = 12/4
12/4 = 3 inches
50 x 4 = 200
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X=1
F(x) = 2
I am pretty sure I hope this helps
We substitute the given into the equation
given: a=-1, b=2, c=
![\frac{-1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1%7D%7B4%7D%20)
=(
![\frac{4b-3}{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4b-3%7D%7B2a%7D%20)
-1
=
![\frac{4(2)-3}{2(-1)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%282%29-3%7D%7B2%28-1%29%7D%20)
-1
=
![\frac{8-3}{-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8-3%7D%7B-2%7D%20)
-1
=
![\frac{5}{-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B-2%7D%20)
-1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
![\frac{5}{-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B-2%7D%20)
=-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
=
![\frac{5}{-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B-2%7D%20)
![\frac{-1}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1%7D%7B1%7D%20)
×
![\frac{-2}{-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-2%7D%7B-2%7D%20)
(denominator should be -2=common)
=
![\frac{5}{-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B-2%7D%20)
+
![\frac{2}{-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B-2%7D%20)
=
![\frac{7}{-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B-2%7D%20)
which also = to -3.5
Answer:
The gcf of 15 and 64 can be obtained like this: The factors of 15 are 15, 5, 3, 1. The factors of 64 are 64, 32, 16, 8, 4, 2, 1. The common factors of 15 and 64 are 1, intersecting the two sets above. In the intersection factors of 15 ∩ factors of 64 the greatest element is 1. Therefore, the greatest common factor of 15 and 64 is 1.
Hope this helped!
Good luck :p
~Emmy <3