Solve the equation for x.

Answers

Answer 1

Answer:

answer:

x=-2

Step-by-step explanation:

my suggestion for this problem and all problems like it would to turn everything into 6ths. 1/3 would become 2/6. and 2 would become 12/6. leave the negatives. now you'll add 2/6 to -12/6. which will equal 10/6. divide 10/6 by 5/6 and youll get -2. x=-2

Answer 2

Answer:

x = -2

Step-by-step explanation:

● (5/6)x - (1/3) = -2

Add (1/3) to both sides

● (5/6)x - (1/3) + (1/3) = -2 + (1/3)

-2 is (-6/3)

● (5/6)x = (-6/3) + (1/3)

● (5/6)x = -5/3

Move 5/6 to the other side and switch the places of 5 and 6

● x = (-5/3) × (6/5)

● x = -30/15

● x = -2

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Answers

Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet? Round to the nearest hundredth of an hour. [Remember: D = (r)(t)]
Answer – o.53 hours
D = (r)(t), Where
‘D’ is the distance covered
‘r’ is the approach rate
‘t’ is the total time spent
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Therefore, it will take Amanda and Alexis 0.53 hours to meet

Answer:

The answer is 0.53

Peter uses unit cubes to build a figure in the shape of the letter x. What is the fewest unit cub es that peter can use to build the figure?

Answers

X letter is formed by two lines. The minimum amount of cubes that one side may have to look a line that cross other line is 3, but given that one cube is shared by the two lines you only need 5 cubes. So the answer is that the fewest unit cubes that Peter can use to build the figue in the shpe of X is 5 cubes.

1) What is the GCF for the polynomial 4x3 - 2x2y?2) What is the GCF for the polynomial 8x4y + 6x2y2?

3) What is the GCF for the polynomial 12x3y2 - 20x5y3?

4) What is the GCF for the polynomial -10x3y4 - 16x5y2?

Answers

(1)the GCF for the polynomial $4x^3 - 2x^2y$

4x^3 = 2*2* x* x* x

2x^2y = 2*x*x*y

Greatest common factor is $2*x*x = 2x^2$

(2) the GCF for the polynomial $8x^4y + 6x^2y^2$

$8x^4y = 2*2*2*x*x*x*x*y$

$6x^2y^2 = 3*2*x*x*y*y$

GCF is $2*x*x*y=2x^2y$

(3) the GCF for the polynomial $12x^3y^2 - 20x^5y^3$

$12x^3y^2 = 2*2*3*x*x*x*y*y$

$20x^5y^3=5*2*2*x*x*x*x*x*y*y*y$

GCF is $2*2*x*x*x*y*y= 4x^3y^2$

(4) the GCF for the polynomial $-10x^3y^4 - 16x^5y^2$

$-10x^3y^4 =-2*5*x*x*x*y*y*y*y$

$-16x^5y^2=-2*2*2*2*x*x*x*x*x*y*y$

GCF is $-2*x*x*x*y*y= -2x^3y^2$

Answer:

1. 2x2

2. 2x2y

3. 4x3y2

4. -2x3y2

Step-by-step explanation:

1. 4x3 - 2x2y= GCF: 2x2

2. 8x4y + 6x2y2= GCF: 2x2y

3. 12x3y2 - 20x5y3= GCF: 4x3y2

4. -10x3y4 - 16x5y2= GCF: -2x3y2

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph?

Answers

The coordinates of the vertex of the graph are (-2, -9).

Further explanation

The quadratic function is described by the standard equation $\boxed{ \ f(x) = ax^2 + bx + c \ }.$ The graph of a quadratic function is called a parabola.

We have the quadratic function $\boxed{ \ f(x) = x^2 + 4x - 5 \ }.$

We identify the coefficients a, b, and c. For this equation, $\boxed{ \ a = 1, b = 4, and \ c = -5 \ }$
The axis of symmetry is $\boxed{ \ x = h = -(b)/(2a) \ }$ , i.e., $\boxed{ \ x = h = -(4)/(2(1)) \rightarrow h = -2 \ }.$ Thus, the statement in the question for the symmetry axis x = -2 is correct.
The vertex (or turning point) is $\boxed{ \ (h, k) \ },$ where $\boxed{ \ k = f(h) \ }$ or $\boxed{ \ k = (b^2 - 4ac)/(-4a) \ }$
The parabola opens upward because a > 0, resulting in a vertex that is a minimum.

Finding the minimum value is as follows:

$\boxed{ \ k = f (-2) = (-2)^2 + 4(-2) - 5 \rightarrow k = -9 \ }, or$
$\boxed{ \ k = (4^2 - 4(1)(-5))/(-4(1)) = -(36)/(4) \rightarrow k = -9 \ }$

Therefore, the coordinates of the vertex of the graph are (h, k), i.e., $\boxed{\boxed{ \ (-2, -9) \ }}$

Other components:

The y-intercept of the quadratic function f(x) = x² + 4x - 5 is (0, c), i.e., the point $\boxed{ \ (0, -5) \ }.$
The factorization of f (x) = x² + 4x - 5 becomes f(x) = (x + 5)(x - 1). Then we get the x-intercepts at $\boxed{ \ (-5, 0) \ and \ (1, 0) \ }$

Learn more

Which is the graph of f(x) = (x - 1)(x + 4) brainly.com/question/2334270
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The midpoint brainly.com/question/3269852

Keywords: the axis of symmetry, for a function, f(x) = x² + 4x − 5, x = −2, which is the graph of f(x) = (x - 1)(x + 4), what, the coordinates of the vertex of the graph, the x-intercept, quadratic function, a standard equation, the y-intercept, parabola, upward, the minimum value

Based on the calculations, the coordinates of the vertex(h, k) of this graph are equal to (-2, -9).

The standard form of a quadratic equation.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Note: The graph of any quadratic function is known as a parabola.

From the given quadratic function, we have:

f(x) = x² + 4x - 5

For its coefficients, we have:

a = 1.

b = 4.

c = -5.

Next, we would determine the coordinates of the vertex of this graph:

x = h = -b/2a

h = -4/2(1)

h = -4/2

h = -2.

Also, we can deduce that the parabola of this graph opens upward because "a" is greater than zero (0), which produces a vertex that is a minimum:

f(h) = k

f(-2) = k = (-2)² + 4(-2) - 5

f(-2) = k = 4 - 8 - 5

k = -9.

Vertex (h, k) = (-2, -9).

Read more on vertex here: brainly.com/question/525947

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The answer to the problem 3(6 - 7) + 8 is called a ____________. A). difference. B). product. C). quotient. D). sum