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Serjik [45]
3 years ago
12

The distance traveled in a car varies directly as the amount of gasoline used. If a car travels 520 miles and uses 26 gallons of

gas, find the constant of variation or miles per gallon.
A) 18 mpg
B) 20 mpg
C) 22 mpg
D) 24 mpg
Mathematics
2 answers:
svetlana [45]3 years ago
7 0

Answer:

B

Step-by-step explanation:

givi [52]3 years ago
3 0

Answer: B) 20 mpg

Step-by-step explanation:

Taking into account that the amount of gasoline used is directly variable to the distance traveled in a car, to find the constant of variation in miles per gallon you need to have an end value that will give you how many miles can be travelled with one gallon. The information we have tells us that 520 miles use up 26 gallons, so 520 miles per 26 gallons. To find how many miles are done with only one gallon divide the 520 miles by the 26 gallons. 520/26 =20miles per gallon 20mpg is the constant of variation, which means that the car uses one gallon in 20 miles of travelling, and will use x gallons in 20 times x miles.

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The question is: "Without actually graphing, describe how the graph of y = ( -2^(x+17) ) - 4.3 is related to the graph of y = 2^
mojhsa [17]

Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:


  • Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
  • Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
  • Multiplying the function by a number less than 1 compresses it towards the x-axis.
  • Multiplying the function by a number greater than 1 stretches it away from the x-axis.
  • Multiplying by a negative flips the graph.

The graph of (-2^{x+17}) -4.3 compares to 2^x in the following ways:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

7 0
3 years ago
Two miners are trying to push a stationary mine cart filled with gold. Miner A is exerting 25 N while miner B is exerting 20 N.
Oliga [24]

Answer:

b. 45 N

Step-by-step explanation:

The sum of the forces exerted by the two miners = 25 + 20

                                           = 45 N

Since after applying a force of 45 N by the two miners the cart remained stationary, it implies that a resistance force of at least 45 N acts against their push. Thus, the force exerted by the road could be equal to 45 N or greater than 45 N.

Probably, if the sum of the forces applied is 46 N, the cart would move. Which depends on the value of resistance force applied by the road. Thus, the appropriate answer from the given option is B.

Since the force applied on the cart equals the resistance force exerted by the road, the cart would not move.

6 0
3 years ago
Are<br> Which pair of angles<br> angles?<br> corresponding
-BARSIC- [3]

Answer:

D. <3 and <7

Step-by-step explanation:

Corresponding angles are angles that are on matching sides and that are cut by a transversal.

Hope this helps!

4 0
3 years ago
When given a quadratic equation, how do I graph it, and find the vertex?
NemiM [27]
So let’s say the equation is x^2 (x squared) -4x + 8 = 0. So you have to eventually graph a palabara. So to get the vertex, you have to find the line of symmetry (this plays a big part). So the formula for the line of symmetry is x= -b/2a. So A is this equation is 1. B is -4. C is 8. So you would plug these numbers in and you get 2. So (2,0) is your like of symmetry. Now you have to plug 2 back in for x. So when you do that you get 4 so the vertex is (2,4). So the vertex is (2, 4) and basically what the vertex is is it is the highest or lowest point of a palabara. So you can tel if it opens up or down by looking is A is negative or positive. If A is negative the it opens down. If it is positive then it opens up. So now you just put points in. Create a t chart. Like x/y. So when X is 1 for example, y is 5. So you graph (1, 5) and you graph the point that is the same distance from the line of symmetry. You do this until you have 5 points. I hope this helps. It’s hard to teach this over text.
4 0
4 years ago
What the answer for question b
worty [1.4K]

I’m in high school I’m sorry about that


7 0
3 years ago
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