Let:
Philadelphia be point a
Pittsburgh be point b
Distance traveled by Michelle be x
Distance traveled by Rich be 305 x
The general formula is:
distance = velocity (time)
substituting the values:
michelle: X = 65(t)
rich: 305 - X = 70 t
substituting both equations gives:
X = 146.562 miles
t = 2.26 hours or 2 hours and 15 mins
ANSWER
On photo
EXPLANATION
Use the quadratic formula since the equation doesn't factorize not simplify by 3
ANSWER
D. As the x-values increase, the y-values would decrease
EXPLANATION
The given function is
The slope of this function is
Since the slope is negative, there is a negative or an inverse relationship between x and y.
As the values of x increases, the values of y decreases.
Also, as the values of x decreases, the values of y increases.
The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.
For instance, when
This implies that,
Options B is obviously not true because the function has a negative relationship between x and y.
Option C is also false because, x can be positive since it is the independent variable.
See graph
Therefore, the correct answer is option D.
Shirley/Tracey has to stay at least 10 days for the M and N to cost less
ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.
First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:
y-y=m(x-x)
The first y is 8 and the second one is 2
The first x is 5 and the second one is 9
Plug it in:
8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2
*NOTE: another way to find m is by calculating it (y-y)/(x-x)
Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b
y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)
8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.
Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.
m=-3/2
b=31/2
We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)
SO OUR EQUATION IS=
y=(-3/2)x+31/2
Hope you understand this, feel free to ask me anything!