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2 years ago

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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9. 1/3(x+6) =8

babunello [35]

9. ¹/₃(x + 6) = 8
 ¹/₃(x) + ¹/₃(6) = 8
 ¹/₃x + 2 = 8
 - 2 - 2
 3 · ¹/₃x = 6 · 3
 x = 18

15. ¹/₅(x + 10) = 6
 ¹/₅(x) + ¹/₅(10) = 6
 ¹/₅x + 2 = 6
 - 2 - 2
 5 · ¹/₅x = 4 · 5
 x = 20

20. ¹/₈(24x + 32) = 10
 ¹/₈(24x) + ¹/₈(32) = 10
 3x + 4 = 10
 - 4 - 4
 3x = 6
 3 3
 x = 2

32. 5 - ¹/₂(x - 6) = 4
 5 - ¹/₂(x) - ¹/₂(-6) = 4
 5 - ¹/₂x + 3 = 4
 5 + 3 - ¹/₂x = 4
 8 - ¹/₂x = 4
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33. ²/₃(3x - 6) = 3
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8 0

2 years ago

Read 2 more answers

The graph shows the relationship between time

musickatia [10]

Answer:

The machine can make 24 bottles of soda per minute

Step-by-step explanation:

Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line

Thus, by calculating the slope using the given points, we can have the number of bottles per minute

We have the formula as;

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

(x1,y1) = (4,96)

(x2,y2) = (6,144)

m = (144-96)/(6-4) = 48/2 = 24

8 0

2 years ago

PLZ HELP

lana [24]

Answer:

Part A:

To find the total length of the two sides you want to add them together:

(3x^2-2x-1)+(9x+2x^2-2)= you want to combine all like terms

3x^2+2x^2=5x^2, you add your coefficients and keep the exponents the same

-2x+9x=7x, you would combine like terms

-1-2=-3, you would subtract according to Keep, Change, Change

You now have:

5x^2+7x-3= Sides A+B

5x^2+7x-3

Part B:

To find the length of the third side you want to take the perimeter of the triangle and subtract it from our answer in part A

(5x^3+4x^2-x-3)-(5x^2+7x-3)

When subtraction polynomials we want to change the subtraction sign to addition and change the signs of the other number to the opposite sign to prevent making mistakes from subtraction, so you're new equation will look like this:

(5x^3+4x^2-x-3)+(-5x^2-7x+3)

Now we add all like terms again

5x^3, doesn't combine with any others so we leave it the same

4x^2-5x^2=-x^2, subtract them but remember to keep the exponents the same

-x-7x=-8x, again subtract terms but keep variable

-3+3=0, they cancel out so we don't have to worry about putting anything for this one

So now we are left with

5x^3-x^2-8x as our length for the third side

Third side equals 5x^3-x^2-8x

Part C:

For part A we added to get the total of sides B and A

For part B we subtracted the total perimeter from the total lengths of B and A, to figure out what C equals

Hope this helps ;)

4 0

2 years ago

Help ? I need steps on how to do this

Furkat [3]

Answer :- 

the quotient is ( 4x² - 5x + 7 )

Step-by-step explanation:

[ Refer to the attachment for steps ]

We have to eliminate the highest degree coefficient in each step.

And as in division of normal numbers we subtract the things here we do the same ,

but while subtracting we have to take care about the signs !

The negative sign changes the negative sign into positive sign and positive sign into negative sign.

Whereas , a positive sign don't changes the sign.

8 0

2 years ago

Help me plzzz what is x

Grace [21]

Answer:

24.56

Step-by-step explanation:

1.14x-5+5=23+5

1.14x=28

x is roughly equal to 24.56.

Hope this helps!

7 0

2 years ago

I need Help with Functions ​

I need Help with Functions