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AysviL [449]
2 years ago
8

I need Help with Functions ​

Mathematics
1 answer:
Vsevolod [243]2 years ago
7 0

Answer:

g(4) = \frac{5}{11}

Step-by-step explanation:

Given:

g(x) = \frac{x^2 - 6}{3x + 10}Required:g(4)Solution:Substitute x = 4 into [tex] g(x) = \frac{x^2 - 6}{3x + 10}

Thus:

g(4) = \frac{4^2 - 6}{3(4) + 10}

g(4) = \frac{16 - 6}{12 + 10}

g(4) = \frac{10}{22}

g(4) = \frac{5}{11}

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Interger for 6(-7) + (-8).
timama [110]

6 multiplied by negative 7 would be negative 42. Negative 42 added by negative 8 would be negative 34.

5 0
3 years ago
What is the rational number equivalent to 3.24​
aev [14]

Answer:

The rational number equivalent to 3.24 repeating is 321/99

Step-by-step explanation:

To convert the decimal number to a rational number we can state this number and its multiples of 10, trying to find two number with identical decimal parts:

n=3.24242424...

10n=32.4242424....

100n=324.2424242...

Now, 100n and n have the same decimal part, then by subtracting these numbers we obtain:

100n-n=324.24242424...-3.24242424... = 321

99n  = 321

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8 0
3 years ago
Please help asap :( This is my "Final grade" My Teacher wants a full explanation included ! on how i got the answer. )
Mrac [35]

If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)

The total volume of the ball will be;

= Total volume - Volume of hollow part

= 4/3πr³ - 4/3πr³

= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³

= 4 × 3.14 × 9 - 4/3 × 3.14 × 8

= 113.04 - 33.52

= 79.52

If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;

= 79.52 × 3.25

= 258.44 g

Now, if there are 8 spheres in one box, the weight if box will be;

= 258.44 × 8

= 2,067.52 g

_____________________________

Ahh! Finally done with this, if you have any doubt just do ask me :)

3 0
3 years ago
A boat travels 40 miles in 2
Veseljchak [2.6K]

Answer:

480 miles in 24 hours.

Step-by-step explanation:

40miles/2hours = x miles/24hours

40 × 24 ÷ 2 = 480

<em>good luck, i hope this helps :)</em>

5 0
3 years ago
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Explain how horizontal and vertical translations each affect the coordinates of the points of a figure?
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Translations of geometric figures in the coordinate plane can be determined by translating the x- and y-coordinates of points. Horizontal and vertical translations are the easiest. ... Solution: A horizontal translation just changes the x-coordinates of all points, so the rule is (x, y) à (x + 3, y).
6 0
3 years ago
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