Which statement is true about the equation shown below?
10 – 2 (4x – 3) = 2x + 7 – 10x

A.The only solution to the equation is x=9/16

B.The only solution to the
equation is x=9/20

C.The equation has infinite
solutions.

D.The equation has no solution.

Answer:

Following are the solution to this question:

Step-by-step explanation:

differentail equation:

[tex]yu_{xy} + u = 0..........(1)[/tex]  

when [tex]u(x,y) = X(x)Y(y)[/tex]

[tex]u_x = \frac{\partial u}{\partial  x} X'Y' \\\\ u_{xy} = \frac{\partial^2 u }{ \partial x\ \partial  y}= X'Y'[/tex]

by substituting the value we get:

[tex]\to \int \frac{Y'}{Y} = -\lambda \int \frac{1}{y} dy\\\\[/tex]

by solving the value:

[tex]\to Y=c_3 y^{-\lambda}\\\\\therefore\ \ c_4=c_2C_3\\\\\to u(x,y) = c_4 e^{\frac{x}{\lambda}} y^{-\lambda}[/tex]

The solution of the given partial differential equation will be

[tex]u(x,y)=c_4e^\frac{x}{\lambda}y^{-\lambda}[/tex]

The partial derivative is a way to find the slope in either the x or y direction, at the point indicated.

[tex]yu_{xy}+u=0..............................(1)[/tex]

Now if [tex]u(x,y)=X(x)Y(y)[/tex]

[tex]u_x=\dfrac{\partial u}{\partial x} X'Y'[/tex]

[tex]u_{xy}=\dfrac{\partial^2u}{\partial x\ \partial y}=X'Y'[/tex]

by substituting the value, we get:

[tex]\int \dfrac{Y'}{Y}=-\lambda\int\dfrac{1}{y}dy[/tex]

by solving the value:

[tex]Y=c_3y^{-\lambda}[/tex]

[tex]c_4=c_2c_3[/tex]

[tex]u(x,y)=c_4e^\frac{x}{\lambda}y^{-\lambda}[/tex]

Hence the  solution of the given partial differential equation will be

[tex]u(x,y)=c_4e^\frac{x}{\lambda}y^{-\lambda}[/tex]

To know more about partial differential equation follow

https://brainly.com/question/2293382

Answer:

[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=x^3-\frac{11}{2}x^2-4x[/tex]

And we want to determine the intervals for which the function is increasing or decreasing.

We will need to first find the critical points of the function. Note that our original function is continuous across the entire x-axis.

To find the critical points, we need to find the first derivative and then solve for the x. So:

[tex]f^\prime(x)=\frac{d}{dx}[x^3-\frac{11}{2}x^2-4x][/tex]

Differentiate:

[tex]f^\prime(x)=(3x^2)-\frac{11}{2}(2x)-(4) \\ f^\prime(x)=3x^2-11x-4[/tex]

Set the derivative equal to 0 and solve for x:

[tex]0=3x^2-11x-4[/tex]

Factor:

[tex]0=3x^2-12x+x-4 \\ 0=3x(x-4)+(x-4) \\ 0=(3x+1)(x-4)[/tex]

Zero Product Property:

[tex]3x+1=0\text{ or } x-4=0 \\ x=-\frac{1}{3}\text{ or } x=4[/tex]

Therefore, our critical points are -1/3 and 4.

We can thus sketch the following number line:

<————-(-1/3)——————————————(4)—————>

Now, let’s test values for the three intervals: less than -1/3, between -1/3 and 4, and greater than 4.

For less then -1/3, we can use -1. So, substitute -1 for x for our first derivative and see which we get:

[tex]f^\prime(-1)=3(-1)^2-11(-1)-4=3+11-4=10>0[/tex]

The result is positive.

Therefore, for all numbers less than -1/3,f(x) is increasing (since its derivative is positive).

For between -1/3 and 4, we can use 0. Substitute 0 for our derivative:

[tex]f^\prime(0)=3(0)^2-11(0)-4=-4<0[/tex]

The result is negative.

Therefore, for all numbers between -1/3 and 4, f(x) is decreasing (since its derivative is negative).

And finally, for greater than 4, we can use 5:

[tex]f^\prime(5)=3(5)^2-11(5)-4=16>0[/tex]

The result is positive.

Therefore, for all numbers greater than 4, f(x) is increasing (since its derivative is positive.

Therefore:

[tex]\text{$f(x)$ is increasing for $x<-\frac{1}{3}$ and $x>4$}\\ \text{ $f(x)$ is decreasing for $-\frac{1}{3}<x<4$}[/tex]

In interval notation:

[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]

Answer:

both ∠=90

Step-by-step explanation:

180/2=90

There is no tape diagram edit and put it in so I can answer, thank you.

Answer:

8

Step-by-step explanation:

When we look at sequences, we have the function and we have the sequence, the sequence is f(x)... f(n)... or just f with any variable within a parenthesis right next to it.

What the variable signifies is the value that we will be replaced within the sequence, which is 2n in this case. So by your question, it we are looking for the fourth term, that means f(4) = 2n.  Since n is replaced with 4, we do the same with the sequence.

2(4)

Multiply

8

Answer:3.22

Step-by-step explanation:

Hope this helps

See attachment for math work and answer.

The coordinate points to plot on the graph are (0, 5) and (1, 8). The graph for the given functions are plotted below.

The given functions are f(x) = 3x + 4 and h(x) = f(x) +1.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, h(x)=3x+5

The graph of f(x) = 3x + 4 is as follows:

Graph the line using the slope and y-intercept, or two points.

Slope: 3

y-intercept: (0, 4)

The coordinate points to plot on the graph are (0, 4) and (1, 7)

The graph of h(x)=3x+5 is as follows:

Graph the line using the slope and y-intercept, or two points.

Slope: 3

y-intercept: (0, 5)

The coordinate points to plot on the graph are (0, 5) and (1, 8)

The coordinate points to plot on the graph are (0, 5) and (1, 8). The graph for the given functions are plotted below.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Answer:

B

Step-by-step explanation:

Answer:

So whats the question then ????

Answer:

9/5y+15

Step-by-step explanation:

Complete Question

A panel of 12 jurors needs to be selected from a group of 30  people. How many different compositions for the jury are possible?

A. 479,001, 600.

B. 18, 564.

C. 41, 430, 393, 164, 160,000.

D. 86, 493, 225.

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

   The number of jurors to be selected is q = 12

   The total number of people available n =  30  

Generally the number of different compositions for the jury that is possible is mathematically represented as

         [tex]N = ^nC_q[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

        [tex]N = ^{30}C_{12}[/tex]

=>     [tex]N = 86,493,225[/tex]

Answer: -12x + 30

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

-6(2x-5)

-6(2x+5)

-6(2x) + 6(5)

-12x +30

Answer:

Step-by-step explanation:

y= 3(1)-1 --> y=2 (1,2)

y=3(5)-1 --> y=14 (5,14)

y=3(6)-1 --> y=17 (6,17)

y=3(8)-1 --> y=23 (8,23)

Answer:

{x,y}={1,−3}

Step-by-step explanation:

trinomial and i believe its a degree of 4

2,3

1,1.5

maybe, hope this helps

Answer: y= 3/5x -12/5

9514 1404 393

Answer:

  4

Step-by-step explanation:

The ratio is ...

  carrots : cucumbers = 3 : 9 = 1 : 3

The fewest number of vegetables that can be used is 1 carrot and 3 cucumbers, a total of 4 vegetables.

Answer:

4

Step-by-step explanation:

Answer:

The answer is C 66%

Step-by-step explanation:

Answer:

y = 12.5

Step-by-step explanation:

Notice these are similar triangles since they have angles of the same measure (congruent angles), then there must be a proportion among their sides such that:

[tex]\frac{y+5}{5} =\frac{14}{4}[/tex]

therefore by cross-multiplying, we get:

4(y + 5) = 14 * 5

4 y + 20  = 70

4 y = 70 - 20

4 y = 50

y = 12.5

Answer:

its perpendicular

Step-by-step explanation:

Answer: -0.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

3.93700787 Inch

Step-by-step explanation:

:)

Answer:

3.93701

Step-by-step explanation:

In order to convert cm into inches you divide the cm by 2.54.

Answer:

x = 1/6

Step-by-step explanation:

Answer:

1000000001

Step-by-step explanation:

Thanks for some free answer points! :)

9514 1404 393

Answer:

  160 units^2

Step-by-step explanation:

Each of the four triangular faces has an area of ...

  A = (1/2)bh = (1/2)(8)(6) = 24 . . . square units

The square base has an area of ...

  A = s^2 = 8^2 = 64

Then the total surface area is ...

  A = base area + 4 · triangle area

  A = 64 + 4(24) = 160 . . . square units

Answer: RR or Rr

A red allele present on at least one

of two homologous chromosomes.

Explaination:

Since red is dominant, only

one chromosome needs a red allele in

order for the plant to have red flowers.