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Georgia [21]
3 years ago
10

Write a quadratic function that has been translated 1 units to the right and 3 units down.

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Step-by-step explanation:

Hi,

f(x) = (x - 1) - 3

The -1 is the 1 unit to the right (even though it's being subtracted, it's going to the right because it's embedded with the x)

And the -3 is not embedded with the x, meaning the function will move 3 units down.

I hope this helps :)

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A bowling ball has a diameter of 8.5 inches. If it is rolled down a 60 foot bowling lane, how many complete revolutions will it
Lemur [1.5K]

Answer:

85

Step-by-step explanation:

12 in = 1 ft

first you need to convert 60ft to in:

60 * 12 = 720in

then divide 720(the amount of space you are covering by 8.5

720/8.5 = 84.7

then i guess you can round it to a full revolution so it would be 85

4 0
3 years ago
Find the area of the triangle. ANSWERS: A) 84 m2 B) 66 m2 C) 42 m2 D) 132 m2
Daniel [21]

Answer:

C

Step-by-step explanation:

........

4 0
3 years ago
A metallic sphere is immersed in water in a cylindrical container causing a rise in the level of water by 7.5cm if the cylinder
SVETLANKA909090 [29]

Answer:

6.51 cm

Step-by-step explanation:

Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus    V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.

Since V = V',

4πr³/3 = πR²h

dividing through by π, we have

4r³/3 = R²h

multiplying both sides by 3/4, we have

r³ = 3R²h/4

taking cube-root of both sides, we have

r = ∛(3R²h/4)

Substituting the values of the variables into the equation, we have

r = ∛(3(7 cm)² × 7.5 cm/4)

r = ∛(3 × 49 cm² × 7.5 cm/4)

r = ∛(1102.5cm³/4)

r = ∛(275.625 cm³)

r = 6.508 cm

r ≅ 6.51 cm to 2 decimal places

3 0
3 years ago
What is the answer for 30/-31?
mart [117]

Answer:

-0.96774193548

Step-by-step explanation:

kind a mouth full

5 0
3 years ago
Q # 2 Graph TWX and it's image after a rotation of 90° counterclockwise about the origen
const2013 [10]
<span>For a rotation of 90o:  (x, y) ⇒ (–y, x)
T(3,4) ⇒⇒⇒ T'(-4,3)
W(-2,-1) ⇒⇒⇒ W'(1,-2)
x(-3,3) ⇒⇒⇒ x'(-3,-3)

see the attached figure


</span>

6 0
3 years ago
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