![PeachyPeaches1489](/avatars/25868.jpg)
PeachyPeaches1489
10.11.2020 •
Mathematics
Answer two questions about Systems A and B:
System A
- 2x + 5y = 10
-3x + 9y = 6
System B
-3x + 9y = 6
- 2x + 5y = 10
1) How can we get System B from System A?
A. Replace one equation with a multiple of the other equation
B. Replace one equation with a multiple of itself
C. Swap only the left-hand sides of both equations
D. Swap the order of the equations
2) base on the previous answer equivalent? I the other words, do they have the same solutions
Yes or no
Solved
Show answers
More tips
- H Health and Medicine How Much Does Abortion Cost? Expert Answers and Insights...
- S Sport How to Build Arm Muscles? Effective Exercises and Tips...
- H Health and Medicine When can it be said that a person has a normal pulse?...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
Answers on questions: Mathematics
- M Mathematics 3 is to 14 as 12 is to what number? O 3.5 O 2.6 O 42 O 56...
- M Mathematics Solve for x. Round your answer to the nearest tenth if necessary....
- M Mathematics Can you guys please help me with both of these thank you...
- M Mathematics Solve for x. Round your answer to the nearest tenth if necessary....
- M Mathematics The diameter of a cart wheel is 26 inches. how far will it go in one rotation?...
- M Mathematics 12) AABC is isosceles with C as the vertex angle. Find x and the measure of each side of the triangle if AB = 3x - 4, AC = 2x + 6, and BC = 20. Input answers as: x=, AC=, AB= followed...
- M Mathematics Please help me this question...
- M Mathematics Simplify (3a²b²)²+(ab)²...
- M Mathematics Which of the following graphs represents a function?...
- M Mathematics 3a - 4≤5 Solve then inequality. Please hurry...
Ответ:
swap the order of the equations
Step-by-step explanation: and yes it is the same solution it’s equal. Did this on khan academy
Ответ:
i can confirm that the answer above is correct
Step-by-step explanation:
Ответ:
Car B, the SUV, obviously holds more fuel after 0 driven miles, 60 gallons, while car A holds 10 gallons after 0 miles.
let's speak about miles with the abbreviation x.
sk at x=0 Car B got more fuel.
Car A gets 60 Miles per gallon, it's consuming 1/60 gallon per mile. The amount of fuel decreases by 1/60 per mile
After each mile, or each x-step, Car A has
This can be expressed mathematically:
A(x) = -1/60*x + 10
The -1/60x is, again, the consumption per mile, the +10 is the full tank at the start.
A(0)= -1/60*0 + 10
=10
For Car B the consumption is 1/2 gallons per mile and the tank holds 60 gallons of fuel, wich ammount is decreases with traveled distance.
B(x) = -1/2*x + 60
See that we could draw these two functions as lines in a coordinate system. (I did it with desmos btw). This step is just to help understand.
After some distance/ amount x of miles, Car A will hold more fuel than car B, because it drives more efficiently.
In the picture we can see that this is after about 100 miles and we could guess the amount of fuel, but I won't. Let's calculate it and then answer the question precisely.
We get the intersection of the two lines by setting them equal, a(x)=b(x)
-1/60x + 10 = -1/2x + 60
Exactly one point lies, equally, on both lines
So let's solve for x
Further on the right, each step is explained. we have to do the same operation on both sides of the equation, just to not break it.
-1/60x + 10 = -1/2x + 60 | -10
-1/60x = -1/2x + 50 | + 1/2x
-1/60x + 1/2x = 50 | *60
-1x + 30x = 3000
29x = 3000 | /29
x = 103.448275862
so after about 103.45 miles, Car B holds less fuel than Car A (and Car A more than Car B), until both are empty. Car B could therefore drive more miles
We can also ask how much fuel is left in both tanks at the intersection point by plugging the x-value we got into one of the equations (doesn't matter which one, since the point is the same)
a(103.4482) = -1/60 * 103.4482 + 10 = 8.28
If you want it to be precise, stay with fractions
a(3000/29) = -1/60 * 3000/29 + 10
= -50/29 +10
= 9 -21/29
= 8 + 8/29
Finding out how far each car could travel would be achieved by setting their fuel-equation equal to 0, because that's the value of it when they run of of fuel. For example 0 = -1/60x+10, then you (just) solve for x.
I did overshoot the given problem to offer offer you understanding that's spans more of the topic you are dealing with
(would really appreciate the brainliest)