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olga55 [171]
2 years ago
5

F(x)=x^2. What is g(x)?

Mathematics
1 answer:
Arturiano [62]2 years ago
8 0

Answer:

D

Step-by-step explanation:

Ordenered pairs g(x):

(0,0); (2,2); (- 2,2)

g(x) = ax² + bx + c

(0,0)

a.0² + b.0 + c = 0

c = 0

(2,2)

a.2² + b.2 + c = 2

4a + 2b = 2

(- 2,2)

a.(- 2)² + b.(- 2) + c = 2

4a - 2b = 2

4a + 2b = 4a - 2b

2b + 2b = 0

4b = 0

b = 0

4a + 2b = 2

4a = 2

a = 2/4

a = 1/2

g(x) = 1/2x² + 0x + 0

g(x) = 1/2x²

I hope I've helped you.

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If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)
Natalka [10]

Answer:

<h2>(h - g)( - 2) = 18</h2>

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

<h3>(h - g)(x) =  {2x}^{2}  - 5x + 2 - ( {x}^{2}  - 2x - 6)  \\  =  {2x}^{2}  - 5x + 2 -  {x}^{2}  + 2x + 6 \\  =  {2x}^{2}  -  {x}^{2}  - 5x + 2x + 2 + 6</h3><h3>(h - g)(x) =  {x}^{2}  - 3x + 8</h3>

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

<h3>(h - g)( - 2) =  ({ - 2})^{2}  - 3( - 2) + 8 \\  = 4 + 6 + 8 \\  = 10 + 8</h3>

We have the final answer as

<h3>(h - g)( - 2) = 18</h3>

Hope this helps you

7 0
3 years ago
If the lines of a system of equations never intersect then, then the system has no____
eduard

Answer:

solution

Step-by-step explanation:

7 0
3 years ago
What is the slope of the line that passes through the points listed in the table?
Allisa [31]

Answer:

D. -4

Step-by-step explanation:

the slope formula is

m=(y2-y1)/(x2-x1)

(x2,y2) = (4,7)

(x1, y1) = (5,3)

So (7-3)/(4-5) = 4/-1 = -4

4 0
2 years ago
Which variable expression represents the phrase the product of h and p
lutik1710 [3]

Answer:

hp

Step-by-step explanation:

Here, we want to write the variable expression representing the product of h and p

Mathematically, what we just have to do here is multiply h by p

That will be;

h * p = hp

7 0
3 years ago
Three women, Chantel, Marissa, and Qian, enjoy running laps around a circular track. Each women runs at a constant speed. It tak
lubasha [3.4K]

It takes 150 seconds for Qian to complete the track.

Let she runs the track in the clockwise direction.

In 60 seconds, she runs \frac{60}{150} = \frac{2}{5}th of the track.

Since she meets Marissa, who is running in the opposite (counter clockwise) direction in every 60 seconds, Marissa should have completed \frac{3}{5}th of the track.

Chantel meets Marissa in every 300 seconds.

So, in 60 seconds, she advances Marissa by \frac{1}{5}th of the track.

Hence, in 300 seconds, Qian, Marissa and Chantel all meets at the starting point.

ALITER;

Marissa meets Qian in every 60 seconds.

So, Marissa and Qian meet each other in 60th, 120th, 180th, 240th and 300th second.

But, it is given that Chantel meets Marissa in every 300 seconds.

So, in 300 seconds, Qian, Marissa and Chantel meet each other.

6 0
3 years ago
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