Which decimal number is equal to 4/9?

Which expression is equivalent to x6 – 9?

Cerrena [4.2K]

Answer:

12-9

Step-by-step explanation:

If 'x' value is 2

Then x*6 - 9

Then x*6 = 12

Then x*6-9 = 12-9

5 0

3 years ago

daniel's basketball team won 23 games and lost 8 games. Write the ratio of wins to losses in simplest form.

Soloha48 [4]

23:8 is the simplest form. However, you can put 5.75:2 or even 2.86/1 if you are looking for the absolute simplest

3 0

3 years ago

Solve : 5x - 7y = 12 5y - 2x = - 7

Afina-wow [57]

There is one solution:

use elimination method

5x - 7y = 12
5y - 2x = -7 ---> change equation around

5x - 7y = 12
-2x + 5y = -7

2 x ( 5x - 7y) = 2 x (12) multiply both sides by 2
5 x (-2x +5y) = 5 x (-7)

this give you
10x - 14y =24
-10x+25y = -35 add down
-----------------------------
11y = - 11 x is eliminated to find y value

y = -1 input to one of the original equations

5(-1) - 2x = -7

-5 - 2x = -7
+5 +5 add 5 to both sides
----------------------------
-2x = -2
x = 1

your coordinates for when they intersect is at (1, -1)
one solution

3 0

3 years ago

Read 2 more answers

Which statements are true for solving the equation 0.5 – |x – 12| = –0.25? Check all that apply.

Trava [24]

we have

$0.5-\left|x-12\right|=-0.25$

we know that

The absolute value has two solutions

Subtract $0.5$ both sides

$-\left|x-12\right|=-0.25-0.5$

$-\left|x-12\right|=-0.75$

Step 1

Find the first solution (Case positive)

$-[+(x-12)]=-0.75$

$-x+12=-0.75$

Subtract $12$ both sides

$-x+12-12=-0.75-12$

$-x=-12.75$

Multiply by $-1$ both sides

$x=12.75$

Step 2

Find the second solution (Case negative)

$-[-(x-12)]=-0.75$

$x-12=-0.75$

Adds $12$ both sides

$x=-0.75+12$

$x=11.25$

Statements

case A) The equation will have no solutions

The statement is False

Because the equation has two solutions------> See the procedure

case B) A good first step for solving the equation is to subtract 0.5 from both sides of the equation

The statement is True -----> See the procedure

case C) A good first step for solving the equation is to split it into a positive case and a negative case

The statement is False -----> See the procedure

case D) The positive case of this equation is 0.5 – |x – 12| = 0.25

The statement is False

Because the positive case is $0.5-(x-12)=-0.25$ -----> see the procedure

case E) The negative case of this equation is x – 12 = –0.75

The statement is True -----> see the procedure

case F) The equation will have only 1 solution

The statement is False

Because The equation has two solutions------> See the procedure

4 0

3 years ago

Read 2 more answers

two positive numbers x and y, with the maximum value 4, add up to 5. what is the difference between the maximum and minimum valu

Svetach [21]

Answer:

92

Step-by-step explanation:

Since the sum of the two numbers is 5, we can represent one of them by x and the other by 5-x. Then the desired product is ...

x²(5-x)³

A graphing calculator can show the extreme values of this on the interval 1 ≤ x ≤ 4. The maximum is 108 at x=2; the minimum is 16 at x=4.

The difference between the maximum and minimum is 108-16 = 92.

_____

If you like, you can take the derivative and set it to zero.

f(x) = x²(5 -x)³

f'(x) = 2x(5 -x)³ +x²(-3)(5-x)² = x(5 -x)²(2(5-x) -3x)

f'(x) = 5x(5-x)²(2-x)

This will be zero for x=0, x=5, and x=2. The points at x=0 and x=5 represent minima in the product. The values x=0 and x=5 are not in the domain of interest. The point at x=2 represents a maximum.

To find the function extremes on an interval, we need to evaluate the function where the derivative is zero, and also at the ends of the interval. So, the function values of interest are ...

f(1) = 1²·4³ = 64

f(2) = 2²·3³ = 108 . . . . product maximum

f(4) = 4²·1³ = 16 . . . . . . product minimum

The difference between the maximum and minimum is 92.

5 0

3 years ago