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Lunna [17]
2 years ago
9

The function g(x) is a transformation of the quadratic parent function, fx):

Mathematics
1 answer:
77julia77 [94]2 years ago
6 0

Answer: D

Step-by-step explanation:

The graph is narrower, so the coefficient of x^2 has an absolute value more than 1.

  • Eliminate B and C.

Also, because g(x) opens down, the coefficient of x^2 is negative.

  • Eliminate A.

This leaves D as the answer.

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Two number cubes are rolled --one blue and one yellow. Find the probability that the blue cube is less than 3 and the product is
Natalija [7]
Assuming they are dice, to work out the probability that the product is 8, the dice either have to be 2 and 4 or 4 and 2. The blue dice therefore has to be a 2 (4 is not less than 3), which is a 1 in 6 probability. The yellow one therefore has to be 4, which again is 1 in 6. The probablility that these both happen at the same time is given when they are multiplied together. \frac{1}{6}x\frac{1}{6} = \frac{1}{36}.
Hope that is useful.
8 0
3 years ago
A projectile is fired at such an angle that the vertical
svetoff [14.1K]

(a) The projectile remains in the air for 10 seconds

(b) It travels a horizontal distance of 600 meters

Step-by-step explanation:

A projectile is fired at such an angle that

1. The vertical  component of its velocity is 49 m/sec

2. The horizontal  component of its velocity is 60 m/sec

We need to find:

(a) How long the projectile remains in the air

(b) The horizontal distance it travels

∵ The vertical distance y = u_{y} t - \frac{1}{2} g t², where

u_{y} is the vertical  component of its velocity, g is the acceleration

of gravity and t is the time

∵ y = 0 ⇒ it return to the same initial height

∵ u_{y} = 49 m/s

∵ g = 9.8 m/s²

- Substitute these values in the rule above

∴ 0 = 49 t - \frac{1}{2} (9.8) t²

∴ 0 = 49 t - 4.9 t²

- Take t as a common factor

∴ 0 = t (49 - 4.9 t)

- Equate each term by 0

∴ t = 0 ⇒ at initial position

∴ 49 - 4.9 t = 0

- Add 4.9 t to both side

∴ 49 = 4.9 t

- Divide both sides by 4.9

∴ t = 10 seconds

(a) The projectile remains in the air for 10 seconds

∵ The horizontal distance = u_{x} t, where u_{x} is the

   horizontal component of its velocity

∵ u_{x} = 60 m/sec

∵ t = 10 seconds

∴ x = 60 × 10 = 600 meters

(b) It travels a horizontal distance of 600 meters

Learn more:

You can learn more about the component of velocity in brainly.com/question/4464845

#LearnwithBrainly

3 0
3 years ago
A chef at a restaurant uses 12 pounds of butter each day. About how many grams of butter does the chef use each day? use the con
joja [24]
<h3>Hey!</h3><h3></h3>

<u><em>12 pounds converted into grams is going to be 5443.11 grams. </em></u>

<u><em /></u>

So your answer is:

<u>The chef uses about 5443 grams of butter each day</u>

<u />

Hope this helps! °ω°

6 0
3 years ago
Jax has 6 marbles his sister has 3 times as many as jax
Amanda [17]
Its 18 because you times 6 and 3

4 0
3 years ago
Find missing length indicated. i will give brainliest to first correct answer HELP!
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I need help on this to
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