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lions [1.4K]
4 years ago
7

Below are the solutions for a variable "x." State the solution that matches the graph below.

Mathematics
1 answer:
Aloiza [94]4 years ago
7 0
We have a number line as indicated in the figure above. From this figure we know that the <em>x-values</em> <em>increase f</em><em>rom left to right</em>. So we need to write the solution<span> that matches the previous graph. Taking a look on the graph we see that x begins in -3 and closes in 8, that is, x <em>takes values from -3 to 8</em>. In a mathematical language this is given by the following statement: 

</span>x \in [-3,8]<span>


</span>
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What is the solution to the system of equations?
Kobotan [32]

So for this, I will be using the elimination method. So firstly, multiply both sides of the first equation by 2 and both sides of the second equation by 3:

\left \{ {{8x-6y=52} \atop {9x+6y=33}} \right.

Now add the two equations to get 17x=85 . From here you can solve for x. For this, just divide both sides by 17, and your first answer will be x=5

Now that we have the value of x, substitute it into either equation to solve for y:

4*5-3y=26\\ 20-3y=26\\ -3y=6\\ y=-2\\ \\ 3*5+2y=11\\ 15+2y=11\\ 2y=-4\\ y=-2

<h3><u>In short, x = 5 and y = -2.</u></h3>
5 0
4 years ago
The scatter plot shows the relationship between the average number of nightly customers and the number of months since a restaur
larisa86 [58]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Louis wants to carpet the rectangular floor. The floor has an area of 507 square feet. The width of the floor is 1/3 it's length
Yanka [14]

Width x Length

X = Length

\frac{1}{3} = 507

x^{2} = 1521 ft^{2}

X = 39ft

5 0
3 years ago
Use theorem 7. 4. 2 to evaluate the given laplace transform. do not evaluate the convolution integral before transforming. (writ
irga5000 [103]

With convolution theorem the equation is proved.

According to the statement

we have given that the equation and we have to evaluate with the convolution theorem.

Then for this purpose, we know that the

A convolution integral is an integral that expresses the amount of overlap of one function as it is shifted over another function.

And the given equation is solved with this given integral.

So, According to this theorem the equation becomes the

\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{ \mathscr{L} (e^{-\tau} \cos \tau ) }{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{\frac{s+1}{(s+1)^2+1}}{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{1}{s}\left (\frac{s+1}{(s+1)^2+1} \right).

Then after solving, it become and with theorem it says that the

\mathscr{L} \left( \int_{0}^{t} f(\tau) d\tau \right) = \frac{\mathscr{L} ( f(\tau))}{s} .

Hence by this way the given equation with convolution theorem is proved.

So, With convolution theorem the equation is proved.

Learn more about convolution theorem here

brainly.com/question/15409558

#SPJ4

3 0
2 years ago
What's the answer ???
Montano1993 [528]
We can't just give you the answer. If we do, you won't learn anything
7 0
3 years ago
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