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ZanzabumX [31]
3 years ago
6

He distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations be

low: Car A: y = 44x + 26 Car B: y = 36x + 66 After how many hours will the two cars be at the same distance from their starting point and what will that distance be? (1 point) 5 hours, 346 miles 5 hours, 246 miles 3 hours, 246 miles 3 hours, 346 mileshe distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below: Car A: y = 44x + 26 Car B: y = 36x + 66 After how many hours will the two cars be at the same distance from their starting point and what will that distance be? (1 point) 5 hours, 346 miles 5 hours, 246 miles 3 hours, 246 miles 3 hours, 346 miles

Mathematics
1 answer:
Brrunno [24]3 years ago
3 0
A graph shows the cars will be at the same distance after
  5 hours, 246 miles

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Give a rule of the piecewise-defined function.
nataly862011 [7]

The equation of the piecewise function is f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right

<h3>The piecewise function</h3>

On the graph, we have:

  • y = 3 for all x values not more than -1
  • y = -1 for all values greater than 2

Hence, the piecewise function is:

f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right

<h3>The domain of the function</h3>

This is the set of input values

In (a), we have:

x ≤ -1 and x > 2

Hence, the domain is (∞, 3] u (2, ∞)

<h3>The range of the function</h3>

This is the set of output values

In (a), we have:

f(x) = 3 and f(x) -1

Hence, the range is [3] u (-1)

Read more about piecewise function at:

brainly.com/question/18859540

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5 0
2 years ago
Ramon was studying pond life in Doyle Park. In two hours, he counted four more frogs than turtles. The number of crayfish he cou
deff fn [24]
Let us assume the number of turtles = x
Then
Number of frogs = x + 4
Number of crayfish = 2x + 3
Total number of turtles and crayfish = 54
Then we can write the equation as
x + 2x + 3 = 54
3x + 3 = 54
3x = 54 - 3
3x = 51
x = 51/3
   = 17
Then
The number of frogs = x + 4
                                  = 17 + 4
                                  = 21
So there are 21 frogs in the pond that has been counted by Ramon.
5 0
3 years ago
Solve the equation <br> y-x=17<br> y=4x+2
gogolik [260]
Y-x =17
y = -x + 17

substitute this into the second equation

y = 4x + 2
-x + 17 = 4x + 2
0= 5x -15
15/5 = 5x/5
3 = x
4 0
3 years ago
Which pair of numbers is relatively prime?
stiv31 [10]
The answer tour question is D
3 0
3 years ago
Read 2 more answers
Don’t remember how to do this , ?
andriy [413]

28. The ratio of games they won to total games played = 12: 14 = 6: 7.

29. Max's pay rate is 9.50 dollars per hour.

30. The value of n is 9.

Step-by-step explanation:

Step 1; Heather's team won 12 games out of 14. To find the ratio of games won to the total number of games we divide the number of games won to the number of games played.

The ratio of games won to games played = 12: 14, dividing both sides by 2 we simplify the ratio. So the simplified ratio is 6: 7.

Step 2; Max earns $380 for working 40 hours. So to find how much he earns an hour we divide the total money earned in n hours divided by n number of hours.

Money earned per hour = \frac{380}{40} = $9.50. So Max's pay rate per hour is $9.50.

Step 3; The given proportion is

\frac{n}{12} = \frac{18}{24}, to solve this we keep n on the left-hand side while we multiply the 12 on to the other side

n = \frac{18}{24} × 12 = \frac{3}{4} × 12 = \frac{36}{4} = 9.

7 0
3 years ago
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