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Doss [256]
2 years ago
8

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
7 0

Answer:

  k = 3

Step-by-step explanation:

The value of k is the amount by which the function f(x) is translated upward to give the function g(x). We can compare y-intercepts to see that the y-intercept of g(x) is 5 -2 = 3 units more than the y-intercept of f(x). This means ...

  g(x) = f(x) +3

Comparing to ...

  g(x) = f(x) +k

we see that k = 3.

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HELP!!! URGENT!!! I WILL GIVE BRAINLEIST THING ​
lisov135 [29]

Answer:

Horizontal distance = 0 m and 6 m

Step-by-step explanation:

Height of a rider in a roller coaster has been defined by the equation,

y = \frac{1}{3}x^{2}-2x+8

Here x = rider's horizontal distance from the start of the ride

i). y=\frac{1}{3}x^{2}-2x+8

      =\frac{1}{3}(x^{2}-6x+24)

      =\frac{1}{3}[x^{2}-2(3x)+9-9+24]

      =\frac{1}{3}[(x^{2}-2(3x)+9)+15]

      =\frac{1}{3}[(x-3)^2+15]

      =\frac{1}{3}(x-3)^2+5

ii). Since, the parabolic graph for the given equation opens upwards,

    Vertex of the parabola will be the lowest point of the rider on the roller coaster.

    From the equation,

    Vertex → (3, 5)

    Therefore, minimum height of the rider will be the y-coordinate of the vertex.

    Minimum height of the rider = 5 m

iii). If h = 8 m,

    8=\frac{1}{3}(x-3)^2+5

    3=\frac{1}{3}(x-3)^2

    (x - 3)² = 9

    x = 3 ± 3

    x = 0, 6 m

    Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m

6 0
2 years ago
What is 38 percent of 22<br><br> (In percentage) :)
Leona [35]

Answer:

6.6%

Step-by-step explanation:

30% of 22 is 6.6%

Feel free to give brainliest.

Have an awesome day!

6 0
2 years ago
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On a survey eight students reported how many minutes it takes them to travel to school here are there responses 9, 11, 3, 14, 14
Triss [41]

Hi!

The answer to your question is 9.75 minutes

Here is the math to prove it:

9+11+3+14+14+7+14+6=78

Now you will take 78 and divide it by 8

This is because when finding the mean you add all of the given number together and then divide them by the amount of number added together.

78/8=9.75

Thus, your answer is 9.75 minutes

I hope this helped!

Have a wonderful day/night!

God bless!

8 0
2 years ago
Find the percent of increase from 80 to 90 and choose the appropriate result.
Feliz [49]

Answer:

12.5%

Step-by-step explanation:

% increase = (new value - initial value)/initial value x 100

= (90-80)/80 x 100

=10/80 x 100

= 12.5%

3 0
2 years ago
Helloo! please quick help with this it’s super simple
lorasvet [3.4K]

Answer:

1

Step-by-step explanation:

\bigg(3 {w}^{4}  {z}^{3} m \bigg) ^{0}  \\  =  {3}^{0}  \times {w}^{4 \times 0}  \times  {z}^{3 \times 0}  \times  {m}^{0}  \\ =  {3}^{0}  \times {w}^{0}  \times  {z}^{0}  \times  {m}^{0}  \\  = 1 \times 1 \times 1 \times 1.. ( \because {a}^{0 }  = 1) \\  = 1 \\  \therefore \:  \bigg(3 {w}^{4}  {z}^{3} m \bigg) ^{0}  = 1

6 0
3 years ago
Read 2 more answers
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