M represents miles
35+0.10m=25+0.15m
35-25+0.10m=25-25+0.15m
10+0.10m=0.15m
10+0.10m-0.10m=0.15m-0.10m
10=0.05m
m=200
Check:
35+0.10(200)=25+0.15(200)
35+20=25+30
55=55
The solution: m=200 is true.
After 200 miles driven, prices charged by both companies will be the same.
Answer:
We have the problem:
"Clare is in charge of getting snacks for a road trip with her friends and her dog. She has
$35 to go to the store to get some supplies. The snacks for herself and her friends cost
$3.25 each, and her dog's snacks costs $9 each."
In this situation we have two variables:
X = number of snacks for herself and her friends that she buys. Each one of these costs $3.50
Y = number of snacks for her dog that she buys. Each one of these costs $9.
The total cost, in this case, can be written as:
X*$3.50 + Y*$9
And we know that she has $35 to spend, so she can spend $35 or less in the store, then we have the inequality:
X*$3.50 + Y*$9 ≤ $35
Where we defined all the quantities in the inequality.
(x-h)^2=4P(y-k), vertex is (h,k)
P is distance from vertex to directix
remember to subtract P from the y value of the vertex (p-k) and that y value is the directix, y=p-k
nut
ok so one way is to just graph them on a graphing utility
remember if the graph opens up, then the directix is below that
or we can convert to 4P(y-k)=(x-h)^2 form where P is distance from directix
I will only convert the 1st one fully, you should be able to do the rest
1. y=-x^2+3x+8
multiply both sides by -1 since we don't like the x^2 term negative
-y=x^2-3x-8
add8 to both sides
-y+8=x^2-3x
take 1/2 of linear coeficient and square it and add to both sides
-3/2=-1.5
(-1.5)^2=2.25
-y+10.25=x^2-3x+2.25
factor perfect square
-y+10.25=(x-1.5)^2
force undistribute -1 in left side
(-1)(y-10.25)=something, we don't care anymore for now
factor out a 4 in -1
4(-1/4)(y-10.25)
k=10.25
p=-1/4=-0.25
directix=k-p=10.25-(-0.25)=10.5
directix is y=10.5
basically completee the square with x and find P by force factoring a 4 out
2. directix: y=-1.75
3. directix: y=1.5
4. directix: y=17.25
5. d: -37.5
6. d: 9.25
7. d=2.625
order them yourself
Answer:
Step-by-step explanation:
The slope of a line between two points can be calculated by dividing the difference of y values by the difference of x values
in this case
