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Annette [7]
3 years ago
11

Select the ordered pairs that represents a solution to the functions below. F(x)= - x^2 +5.F(x)=x^2+5.

Mathematics
1 answer:
svp [43]3 years ago
6 0

Answer:

(0,5)

Step-by-step explanation:

(1)  y = -x² + 5

(2) y = x² + 5

  2y =10           Added (1) and (2)

(3) y = 5           Divided each side by 2

   5 = x² + 5    Substituted (3)into (2)

   0 = x²          Subtracted 5 from each side

  x = 0           Took the square root of each side

The only ordered pair that represents a solution to both functions is (0, 5).

The graph of the second function is an upward-opening parabola (y = x²) translated up five units.

The graph of the first function is a downward-opening parabola (y = -x²) translated up five units.

The two graphs meet at their common vertex, (0, 5).

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Answer:

4,7,12,19,...

Step-by-step explanation:

<u><em>The question in English is:</em></u>

From the general term, calculate the first 4 terms.  

(Consider that you must assign values to the variable n)

we have

b_n=n^2+3

step 1

Calculate the first term

For n=1

b_1=(1)^2+3=4

step 2

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For n=2

b_2=(2)^2+3=7

step 3

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step 4

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3 years ago
a 4.50 g coin of copper absorbed 54 calories of heat. what was the final temperature of the copper if the initial temperature wa
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The final temperature of copper is 155.43°C.

Step-by-step explanation:

The formula to apply is Q=m*Δt*c where ;

Q=heat energy, m=mass, c=specific heat capacity and Δt= change in temperature

Given that Q=54 calories , m=4.50 g and c=0.092 cal/g°C

In this question find Δt then ,the final temperature.

Δt=Q/m*c

Δt=54/4.50*0.092 =130.43°C

To find final temperature, apply the formula;

Δt=Final temperature - Initial temperature

130.43°C=Final temperature-25°C

130.43°C+25°C=Final temperature

155.43°C

Learn More

Specific Heat Capacity : brainly.com/question/12431744

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