All categories

3 years ago

How to write a real-world situation that could be modeled by the equation 3 2/3x=5/6x-7/8?

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

8 0

I hope this helps you

You might be interested in

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y=4x^2+5x-1

Ivanshal [37]

Answer:

Axis of symmetry: $x=-\frac{5}{8}$

Vertex: $(-\frac{5}{8},-2\frac{9}{16})$

Step-by-step explanation:

The given quadratic equation is

$y=4x^2+5x-1$

By comparing to the general quadratic function; $y=ax^2+bx+c$

We have a=4,b=5,c=-1

The equation of the axis of symmetry is given by the formula;

$x=-\frac{b}{2a}$

We got this formula by completing the square on the general quadratic function.

We substitute a=4 and b=5 to obtain;

$x=-\frac{5}{2(4)}$

$x=-\frac{5}{8}$
is the axis of symmetry.

To find the y-value of the vertex, we put $x=-\frac{5}{8}$ into the function to obtain;

$y=4(-\frac{5}{8})^2+5(-\frac{5}{8})-1$

$y=4(-\frac{5}{8})^2+5(-\frac{5}{8})-1$

$y=-\frac{41}{16}$

The vertex of the given function is $(-\frac{5}{8},-2\frac{9}{16})$

4 0

3 years ago

Fill in the blank to make the following a true statement.

Karo-lina-s [1.5K]

A <em>plane </em>extends in two dimensions with no end. =)

8 0

2 years ago

The average NBA ticket price for the 2018-2019 season is up 14.01% from the average ticket price of $78 during the 2015-2016 sea

sattari [20]

Answer:

$88.93

Step-by-step explanation:

78 * 1.1401 = $88.93

8 0

3 years ago

Mario bought a new video game for $68.99. how much did he have to pay, including 13% tax

Butoxors [25]

Mario had to pay $73.43 for the new video game

4 0

3 years ago

Read 2 more answers

Algebra 2B U2 L6 Function Operations practice 8-10

Bess [88]

Answer:

1) f(g(0)) = 0

2) g(f(2)) = 2

3) g(g(0)) = 8

Step-by-step explanation:

Here, the given functions are:

g(x) = 3 x +2 and f(x)= (x-2)/3

1. Now, f(g(x)) = f(3x+2)

Also, f(3x+2) = (3x+2 -2) /3 = x

So, f(g(x)) = x

⇒ f(g(0)) = 0

2. g(f(x)) = g((x-2)/3) = 3((x-2)/3) +2

or, g(f(x)) = x

⇒ g(f(2)) = 3((2)-2/3) +2 = 2

or, g(f(2)) = 2

3. g(g(0)= g( 3 (0) +2) = g(2)

Now, g(2) = 3(2) + 2 = 6 + 2 = 8

or, g(g(0)) = 8

6 0

3 years ago