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Ksivusya [100]
2 years ago
9

Graph the function f(x)=3/2x−4. Use the line tool and select two points to graph.

Mathematics
2 answers:
iris [78.8K]2 years ago
4 0

Answer:

Two points on the graph would be (2,-1) and (4,2).

Step-by-step explanation:

You can choose two random x variables such as how i selected 2 and 4. if you change the variable x to those values you can solve for y or in this case f(x).

EX:

3/2*2-4

6/2-4

3-4

f(x)= -1

denpristay [2]2 years ago
3 0

Answer:

The two points on the graph are (0,-4) and (2.667,0)

Step-by-step explanation:

We are given that a function

f(x)=\frac{3}{2}x-4

We have to graph the function  using line tool and select two points to graph.

Let y=f(x)

Substitute x=0 then, we get

y=\frac{3}{2}(0)-4=-4

Therefore, the equation cut the y- axis at point (0,-4).

Substitute y=0 then we get

0=\frac{3}{2}x-4

\frac{3}{2}x=4

x=\frac{4\times 2}{3}=\frac{8}{3}=2.667

Therefore, the equation cut the x- axis at point (2.667,0).

Now, mark the point on the graph and meet the points.

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Find the value of x in the figure<br> (X+5)* 90*
ra1l [238]

Answer:

x = 85 deg

Step-by-step explanation:

We can see that there are two straight lines that intersect and that the two angles given are opposite angles.

Because they are opposite angles, the two angles have the same value, i.e

(x + 5) = 90     (subtract 5 from each side)

x = 90 - 5

x = 85 deg

5 0
3 years ago
x = c1 cos(t) + c2 sin(t) is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the seco
igomit [66]

Answer:

x=-cos(t)+2sin(t)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

a_n y^n +a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

Will have a characteristic equation of the form:

a_n r^n +a_n_-_1r^{n-1}+...+a_1r+a_o=0

Where solutions r_1,r_2...,r_n are the roots from which the general solution can be found.

For real roots the solution is given by:

y(t)=c_1e^{r_1t} +c_2e^{r_2t}

For real repeated roots the solution is given by:

y(t)=c_1e^{rt} +c_2te^{rt}

For complex roots the solution is given by:

y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)

Where:

r_1_,_2=\lambda \pm \mu i

Let's find the solution for x''+x=0 using the previous information:

The characteristic equation is:

r^{2} +1=0

So, the roots are given by:

r_1_,_2=0\pm \sqrt{-1} =\pm i

Therefore, the solution is:

x(t)=c_1cos(t)+c_2sin(t)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of x(t) in order to find the constants c_1 and c_2:

x'(t)=-c_1sin(t)+c_2cos(t)

Evaluating the initial conditions:

x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1

And

x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2

Now we have found the value of the constants, the solution of the second-order IVP is:

x=-cos(t)+2sin(t)

3 0
3 years ago
Sprawdz, ktora liczba spelnia rownanie: -2x+7=-6x-5 . Ktora jest dobra odpowiedzia -3, 3 -2 czy 2 ? Prosze pomuszcie :'(
schepotkina [342]

Answer:

x= -3

Step-by-step explanation:

hello :

-2x+7=-6x-5

-2x+7+6x=-6x-5 +6x

4x+7=-5

4x+7-7=-5-7

4x= -12

x= -12/4

x= -3

7 0
2 years ago
I need help with this question and it’s very urgent!!!!
andreev551 [17]

Answer:

AAS

Step-by-step explanation:

8 0
2 years ago
PLEASE HELP ME?! BRAINLIEST ANSWER PLUS EXTRA POINTS! The perimeter of a basketball court is 84 meters and he length is 6 meters
Marina86 [1]

Answer:

I hope this helps you and you have an amazing day the answer

Width=12

Length=30

Step-by-step explanation:

L=2W+6 is

P=2L+2W

84=2(2W+6)+2W

84=4W+12+2W

84=6W+12

6W=84-12

6W=72

W=72/6

W=12 ans. for the width.

L=2*12+6=24+6=30 ans. for the length.

Proof:

84=2*30+2*12

84=60+24

84=84

3 0
3 years ago
Read 2 more answers
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