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3 years ago

What is 2x-4y=20 for y

1 answer:

8 0

Okay so you need to get the y by itself

2x - 4y = 20

subtract the 2x over

-4y = -2x + 20

divide everything by -4

y = 1/2x - 5 <------- this is your answer

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Find the value of x (4x-9) (3x+29)

polet [3.4K]

Answer:

12x³+89x²-261x (?)

Step-by-step explanation:

For this equation, I am going to assume you want to find the value of the expression and you're multiplying all the values (since you can't find the value of x with this unless you had an equation).

(x)(4x-9)(3x+29)

(4x²-9x)(3x+29)

12x³+89x²-261x

8 0

3 years ago

If f(x) = -3x +4 and g(x) = 2, solve for the value of x for<br> which f(x) = g(x) is true.

grin007 [14]

Step-by-step explanation:

f(x) = g(x)

-3x + 4 = 2

4 - 2 = 3x

2/3 = x

5 0

3 years ago

Read 2 more answers

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

<u>Answer</u>

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

3 years ago

What is the answer to this?

Dmitry [639]

Answer:

Step-by-step explanation:

If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.

Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.

2x -6 -6x = 2 -4x . . . . eliminate parentheses

-4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)

x +2 = 15x +10 +2x . . . . eliminate parentheses

x +2 = 17x +10 . . . . one solution (x=-1/2)

4 +6x = 6x +4 . . . . eliminate parentheses

6x +4 = 6x +4 . . . . infinite solutions

6x +24 = 2x -4 . . . . eliminate parentheses; one solution (x=-7)

8 0

2 years ago

Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation. The catering company she plans to use char

Airida [17]

Hi there! The answer is 72 guests.

To find our answer we need to set up and solve an equation. Let the total number of guests be represented by g. The cost per guest is $13.50
Therefore the cost for all of the guests will be $13.50 × g.

To find the total cost we need to add the additional fee of $540 to cover linens and tableware.

Now we've found our equation.
$13.5g + 540 = 1512$

Subtract 540.
$13.5g = 972$

Divide by 13.5
$g = \frac{972}{13.5} = 72$

Therefore, there are 72 guests. The answer is 72.
~ Hope this helps you!

8 0

3 years ago

Read 2 more answers