The fraction of the journey Sapna traveled by car and train is 3/8 and 5/8 respectively.
We know that fraction is an expression in mathematics used to denote the division of two whole numbers.
Given that the total distance = 48 km.
The distance Sapna traveled by car = 18 km.
So, the fraction is = distance traveled by car/total distance = 18/48 = 3/8
The distance Sapna traveled by train = 48 - 18 km = 30 km.
So, the fraction is = distance traveled by train/total distance = 30/48 = 5/8
Therefore the fraction of the journey Sapna traveled by car and train is 3/8 and 5/8 respectively.
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The slope point form is
![y-y1=m(x-x1)](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29)
m is the slope
x1, y1 are the coordinates of a point on the line
The slope of the line is -1
m = -1
point (-5, -4) lies on the line
x1 = -5 and y1 = -4
Let us substitute them in the form above
![y-(-4)=-1(x-\lbrack-5\rbrack)](https://tex.z-dn.net/?f=y-%28-4%29%3D-1%28x-%5Clbrack-5%5Crbrack%29)
Remember (-)(-) = (+)
![y+4=-1(x+5)](https://tex.z-dn.net/?f=y%2B4%3D-1%28x%2B5%29)
The equation of the line in the slope-point form is y + 4 = -1(x + 5)
Answer:
The answer is 36
Step-by-step explanation:
1) Add 30 + 2 and get 32
2) Then you just add 32+4 and get 36
Answer:
the slope is -3 and the y inercept is x
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Anwer A has the following equation:
![g(x)=\frac{3}{5}x^2-3](https://tex.z-dn.net/?f=g%28x%29%3D%5Cfrac%7B3%7D%7B5%7Dx%5E2-3)
In this equation, we can calculated the intercept replacing x by 0, as:
![g(x)=\frac{3}{5}0^2-3=-3](https://tex.z-dn.net/?f=g%28x%29%3D%5Cfrac%7B3%7D%7B5%7D0%5E2-3%3D-3)
if this is the answer, the graph of g(x) should be through the point (0,-3) and that happens.
Additionally, the roots of the equations are calculated replacing g(x) by 0 and solving for x, so:
![0=\frac{3}{5}x^2-3\\x_1=\sqrt{5}=2.236\\x_2=-\sqrt{5}=-2.236](https://tex.z-dn.net/?f=0%3D%5Cfrac%7B3%7D%7B5%7Dx%5E2-3%5C%5Cx_1%3D%5Csqrt%7B5%7D%3D2.236%5C%5Cx_2%3D-%5Csqrt%7B5%7D%3D-2.236)
It means that the graph of g(x) should be through the points (2.236,0) and (-2.236,0) and that happens too.
So, the answer is A, ![g(x)=\frac{3}{5}x^2-3](https://tex.z-dn.net/?f=g%28x%29%3D%5Cfrac%7B3%7D%7B5%7Dx%5E2-3)