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Reika [66]
2 years ago
8

An equation that defines y as a function of x is given. a. solve for y in terms of x and

Mathematics
1 answer:
Ymorist [56]2 years ago
4 0

Answer:

  • f(x) = 2x -2/3
  • f(3) = 5 1/3

Step-by-step explanation:

We solve an equation for a specific variable by using inverse operations to undo what is done to the variable. The resulting function is evaluated by substituting the given value for the variable.

__

<h3>a.</h3>

We are given the equation ...

  6x -3y = 2

Solving for y, we get ...

  6x -2 = 3y . . . . . add 3y-2 to both sides

  2x -2/3 = y . . . . . divide by 3

  f(x) = 2x -2/3 . . . . write using functional notation

__

<h3>b.</h3>

To find f(3), we use x=3 in the function.

  f(3) = 2(3) -2/3 = 6 -2/3

  f(3) = 5 1/3

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1) Find the slope of the line passing through the given points (2, 120) and (1, 60).
EastWind [94]

Answer:

1. 60. 2. -6. 3. -4/5

Step-by-step explanation:

Okay so I haven't done slope in 3 years but I used to be a god at it so please tell me if you get this right and I'm so so sorry if you get them wrong

5 0
3 years ago
A pair of Jordans sold at retail for $180 and now sell for $330 after market. A. Is this a percent INCREASE or DECREASE, what is
Elza [17]

Answer:

This is a percent INCREASE

The percent change is 83.33%

Step-by-step explanation:

Let us solve the question

∵ A pair of Jordans sold at retail for $180

∴ The initial price = 180

∵ Now it sells for $330 aftermarket

∴ The new price = 330

→ That means the new price is greater than the initial price

∵ The new price is greater than the initial price

∴ This is a percent INCREASE

∵ The percent of change = (amount of increase ÷ initial amount) × 100%

∵ The amount of increase = new price - initial price

∴ The amount of increase = 330 - 180 = 150

→ Substitute it in the rule of percent of increase above

∵ The percent change = \frac{150}{180} × 100%

∴ The percent change = \frac{5}{6} × 100%

∴ The percent change = 83.33%

4 0
3 years ago
Help please! I have to answer what is wrong with this ,but I am getting really confused.
Aliun [14]

Answer:

x = 113

Step-by-step explanation:

Vertical angles are congruent. To the left of 113 would be 67 but x is not.

8 0
3 years ago
Find the measurement of both complementary angles, if:
aniked [119]

We are given one angle is 3 times less than other.

Let us assume one angle measure is x degrees and another is 4x.

Because x is 3x less than 4x.            ( We can check 4x-x= 3x)

Sum of complementary angles is 90 degrees.

So, we can setup an equation

First angle measure + first angle = 90 degrees.

x+4x = 90.

Adding x and 4x, we get 5x.

So, 5x = 90.

Dividing both sides by 5, we get

5x/5 = 90.

x= 18.

So, one angle is of 18 degrees.

Another angle = 4x = 4 times 18 = 72 degrees.

So, required angles are of 18 degree and 72 degree.



8 0
3 years ago
16. Which of the following are equivalent to(x) 16xA) g(r) 8.21B) g(c) 4096.16-3g (x) -4.4xD) g(x) 0.0625-16'+1E) g(x) 32.16E) g
swat32
F(x) = 16ˣ

A. g(x) = 8(2ˣ)
    g(x) = (2³)(2ˣ)
    g(x) = 2ˣ⁺³
The answer is not A.

B. g(x) = 4096(16ˣ⁻³)
    g(x) = (16³)(16ˣ⁻³)
    g(x) = 16ˣ
The answer is B.

C. g(x) = 4(4ˣ)
     g(x) = 4ˣ⁺¹
The answer is not C.

D. g(x) = 0.0625(16ˣ⁺¹)
     g(x) = (16⁻¹)(16ˣ⁺¹)
     g(x) = 16ˣ
The answer is D.

E. g(x) = 32(16ˣ⁻²)
    g(x) = (2⁵)(2⁴ˣ⁻⁸)
    g(x) = 2(⁴ˣ⁻³)
The answer is not E.

F. g(x) = 2(8ˣ)
    g(x) = 2(2³ˣ)
    g(x) = 2³ˣ⁺¹
The answer is not F.

The answer is B and D.
6 0
3 years ago
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