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Annette [7]
4 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]4 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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4 years ago
(03.03 MC) The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −6 0 −3 1 0
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The function g(x) has a greater slope and the function f(x) has a greater y-intercept

<h3>How to compare the slopes?</h3>

The function is given as:

Function f(x)

x    f(x)

-1     -6

0     -3

1       0

g(x) = 4x - 5

The slope of f(x) is calculated using:

m = \frac{f(1) - f(0)}{1 -0}

This gives

m = \frac{0 + 3}{1 -0}

Evaluate

m = 3

By the general format of a linear equation, the slope of the function g(x) is:

m = 4

4 is greater than 3

Hence, the function g(x) has a greater slope

<h3>How to compare the y-intercepts?</h3>

This is when x = 0

For the function f(x), we have:

f(0) = -3

For the function g(x), we have:

g(0) = 5-

-3 is greater than -5

Hence, the function f(x) has a greater y-intercept

Read more about linear functions at:

brainly.com/question/4025726

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2 years ago
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Answer:

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4 years ago
Gary spends 10 per week on the internet and 13 hours per week playing video games. If Gary has five hours of free time per day w
Natalka [10]

Answer:

460% of free time is spent on internet and games .

Step-by-step explanation:

Given as :

The time spent by Gary on internet = 10 hours per week

The time spent by Gary on video games = 13 hours per week

So, Total time spent by Gary = 10 hours per week + 13 hours per week

                                                = 23 hours per week

The free time which Gary have = 5 hours

Now, percentage of free time spent on internet and games = x %

So, x % of 5 = 23

or, x % = \frac{23}{5}

∴  x% = 4.6

I.e x = 460 %

Hence  460% of free time is spent on internet and games . Answer

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