Justin and Austin decide to play catch after school. they start at the Same point. Justin walks 50feet north and 20,feet west. Austin walks 40 feet south and 10 feet east. how far apart are they?
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HELP ); Match each function formula with the corresponding transformation of the parent function y = - (x + 2)2.1. y = - (x + 4)2 2. y = - (x + 2)2 - 2 3. y = (x - 2)2 4. y = 2 - (x + 2)2 5. y = -x2 6. y = (x + 2)2 A. Reflected across the x-axis and the y-axis B. Translated right by 2 units C. Translated up by 2 units D. Reflected across the x-axis E. Translated left by 2 units F. Translated down by 2 units
One cell phone plan charges 20$ per month plus$0.15 per minute used.A second cell phone plane charges $35 per month plus $0.10 per minute used. write and solve an equation to find the number of minutes youmust talk to have the same cost for both calling plans. Please help!!!! i suck at word problems.
What do you call the formula y =Mx+b
What the difference 400 273
B.take out some easy-access loans and extend them as needed
C.limit spending to writing checks that do not exceed her account balance
D.save $2500 to help pay off debt
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Answer:
Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.
Step-by-step explanation:
Since they both rent the vehicles at the same price, "x" for jet skis and "y" for kayaks", we can create equations for each store and a system of equations for these, as shown below:
Watersports:
12*x + 9*y = 780
Fun Rentals:
7*x + 11*y = 570
System:
We can isolate "x" on the first equation:
And use it on the second:
We can now use this value to find "x":
Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.
exponential, because there is a relatively consistent multiplicative rate of change
exponential, because there is a relatively consistent additive rate of change
linear, because there is a relatively consistent multiplicative rate of change
linear, because there is a relatively consistent additive rate of change
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Answer: first choice, exponential, because there is a relatively consistent multiplicative rate of change.
Explanation:
1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.
These are the data:
Time (min) ------ Temperature (°F)
0 ----------------------- 200
10 ---------------------- 180
20 --------------------- 163
30 --------------------- 146
40 ---------------------131
50 -------------------- 118
60 -------------------- 107
2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.
3) The other two options involve exponential models.
The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.
4) You can prove it:
i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:
y₁ = A [r]¹
y₂ = A[r]²
y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.
ii) Test some data:
180 / 200 = 0.9
163 / 180 ≈ 0.906 ≈ 0.9
146 / 163 ≈ 0.896 ≈ 0.9
131 / 146 ≈ 0.897 ≈ 0.9
118 / 131 ≈ 0.901 ≈ 0.9
107 / 118 ≈ 0.907 ≈ 0.9
As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.
A. exponential, because there is a relatively consistent multiplicative rate of change
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Answer:
The lowest common denominator for parts of a dozen is 12.
Step-by-step explanation:
A. 122.7 m²
B. 78.5 m²
C. 39.3 m²
D. 19.6 m²
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