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elixir [45]
3 years ago
11

I need help. Math is really hard

Mathematics
1 answer:
alekssr [168]3 years ago
3 0

Answer:

The value of x in terms of b is: \mathbf{x=-\frac{6}{2b}}

The value of x when b is 3 is: x = -1

Step-by-step explanation:

We are given the function: -2(bx-5)=16

First we need to find

The value of x in terms of b

We need to find value of x

-2(bx-5)=16

Multiply -2 with terms inside the bracket

-2bx+10=16

Subtract 10 from both sides

-2bx+10-10=16-10\\-2bx=6

Divide both sides by -2b

\frac{-2bx}{-2b}=\frac{6}{-2b}\\x=-\frac{6}{2b}

So, The value of x in terms of b is: \mathbf{x=-\frac{6}{2b}}

The value of x when b is 3

We have the equation for the value of x in terms of b:

\mathbf{x=-\frac{6}{2b}}

Put b = 3

x=-\frac{6}{2(3)}\\x=-\frac{6}{6}\\x=-1

So, The value of x when b is 3 is: x = -1

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Use synthetic division to solve (x^3+1)/(x-1). What is the quotient?
Sav [38]

Answer:

  x^2 +x +1

Step-by-step explanation:

See below for the tableau. The quotient is x^2 +x +1.

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7 0
3 years ago
a tank is 4÷5 full of water. after drawing off 190 litees of water,it is just 1÷6 full. what is the capacity of the tank​
soldier1979 [14.2K]

Hey there! I'm happy to help!

Let's have the capacity be c. The tank is currently at 4/5c. We subtract 190 and then we are at 1/6c. Let's set this up as an equation and solve it.

4/5c-190=1/6c

We want to get the c all by itself to see the capacity of the tank. Let's get all of the c values on the left side of the equation and the numbers on the right by using inverse operations.

4/5c-190=1/6c

Add 190 to both sides.

4/5c=1/6+190

Subtract 1/6 from both sides.

19/30c=190

Divide both sides by 19/30.

c=300

So, the capacity of the tank is 300 liters of water.

Have a wonderful day and keep on learning! :D

8 0
2 years ago
the angle of elevation of the top of an elevator pole to a man standing 10m from it is 60°. find the height of the pole
AleksAgata [21]

Answer:

10√3m

Step-by-step explanation:

Given :-

  • Angle of elevation = 60°
  • Distance between man and pole = 60°

We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,

=> tan 60° = p/b

=> √3 = h / 10 m

=> h = 10 m× √3

=> h = 10√3 m

7 0
3 years ago
Find f(x) if g(f(x))=x and g(x)=(x+1)/(x-1)​
Firdavs [7]

Answer:

  f(x) = (x +1)/(x -1)

Step-by-step explanation:

Let f(x) = y. We want to find y such that ...

  g(y) = x

  (y +1)/(y -1) = x

  y +1 = xy -x . . . . . . multiply by y-1

  y -xy = -x -1 . . . . . . add -1 -xy

  y(x -1) = x +1 . . . . . . multiply by -1 and factor out y

  y = (x +1)/(x -1) . . . . divide by the coefficient of y

Then ...

  f(x) = (x +1)/(x -1)

_____

<em>Check</em>

  g(f(x)) = ((x +1)/(x -1) +1)/((x +1)/(x -1) -1)

  = ((x +1 +x -1)/(x -1)) / ((x +1 -x +1)/(x -1))

  = 2x/2

  = x

7 0
2 years ago
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