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3 years ago

12 = 1.5x Solve each equation algebraically

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

I am assuming you want me to answer the equation provided in the picture, therefore I will provide you with the answer.

So we have $\frac{3}{5} x$ = 21

When it comes to equations with a variable, our goal is to isolate the variable, so let's start.

$\frac{3}{5} x$ = 21

1. Combine multiplied terms into a single fraction :

$\frac{3x}{5}$ = 21

2. Multiply both sides by the denominator :

5 * 3/5 = 3

5 * 21 = 105

3x = 105

3. Divide both sides by 3 :

$\frac{3x}{3} = \frac{105}{3 }$

x = 35

Arada [10]3 years ago

5 0

Answer:

x=8

Step-by-step explanation:

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Determine algebraically whether the function is even, odd, or neither even nor odd.

m_a_m_a [10]

For a function (fn) to be odd:
f(x) = - f(-x)
For a fn to be even:
f(x) = f(-x)
For a fn to be neither even nor odd
f(x) != f(-x) [No Relation]

(-x)^n = x^n for n -> even
(-x)^n = -x^n for n -> odd
In your example:

f(x) = -4x^3 + 4x
f(-x) = -4 (-x)^3 + 4 (-x)^1 ( 3 and 1 are odd powers )
f(-x) = 4x^3 - 4x (take -1 common to do the check)
f(-x) = -( -4x^3 + 4x ) = - f(x) [between the bracket was the original fn]

f(x) = - f(-x)
so the function is odd also called symmetric about the origin

7 0

3 years ago

If DE=6x what is the perimeter of the triangle in terms of x? A 6 B 18 C 18x

tatyana61 [14]

May be another Lala La La La La La La La La La La La La La La La La La La la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la la

6 0

2 years ago

What is the slope of this line?

jeyben [28]

9514 1404 393

Answer:

1/4

Step-by-step explanation:

The slope can be found using the slope formula with the two left-most marked points:

m = (y2 -y1)/(x2 -x1)

m = (6 -5)/(0 -(-4)) = 1/4

The slope of the line is 1/4.

6 0

2 years ago

The answer choices are 11 1 2.48 6

Fudgin [204]

Answer:

The ball reached its maximum height of ( $11\ yards$ ) in ( $1\ second$ ).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

$h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6$

Now factor out the coefficient of the quadratic term:

$h(t)=-5(t^2 -2t) + 6$

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

$h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6$

Now take the balancing term out of the parenthesis:

$\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))$

Simplify:

$h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11$

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

$(1, 11)$

8 0

3 years ago

Solve the system by substitution. 6x + 3y = -6 2x + y = -2

Mariana [72]

Solutions

First Lets solve for this equation $6x + 3y = -6
$

$6x + 3y = -6
$

$6x+3(-2-2x)=-6

 
$

$-6=-6$

Therefore this given equation is a dependent system.

Solve for $2x + y = -2$

$2x+y=-2$

$y=-2-2x

 

 
$

There are too many solutions to these equations.

8 0

3 years ago

Read 2 more answers