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3 years ago

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:

The question in English is:

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

Calculate the second term

For n=2

$b_2=(2)^2+3=7$

step 3

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For n=3

$b_3=(3)^2+3=12$

step 4

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$b_4=(4)^2+3=19$

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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

I am Lyosha [343]

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

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Specific Heat Capacity : brainly.com/question/12431744

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