Two quadratics functions are shown

Mathematics

1 answer:

Feliz [49]2 years ago

3 0

Answer:

See the explanation.

Step-by-step explanation:

Table the values of f(x) against the values of x:

x (x + 1)^2

0 1

1 4

2 9

3 16

Comparing this with the g(x) table we see that for all values of x > 0 values of f(x) are greater than values of g(x).

The third choice is the correct one.

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The archway of the main entrance of a university is modeled by the quadratic equation

Scilla [17]

Answer:

B. (1,5) and (5.25, 3.94)

Step-by-step explanation:

The answer is where the 2 equations intersect.

We need to solve the following system of equations:

y = -x^2 + 6x

4y = 21 - x

From the second equation:

x = 21 - 4y

Plug this into the first equation:

y = -(21 - 4y)^2 + 6(21 - 4y)

y = -(441 - 168y + 16y^2)+ 126 - 24y

y = -441 + 168y - 16y^2 + 126 - 24y

16y^2 + y - 168y + 24y + 441 - 126 = 0

16y^2 - 143y + 315 = 0

y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)

y = 5, 3.938

When y = 5:

x = 21 - 4(5) = 1

When y = 3.938

x = 21 - 4(3.938) = 5.25.

3 0

2 years ago

Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month,

san4es73 [151]

Victoria's method is linear because the number of minutes increase by an equal number (15) every month.

Workings in the attachments below. The green line is the function that has been set up for Victoria. The lines that form a curved looking graph belong to the function that was set up for Zach.