1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Evgesh-ka [11]
3 years ago
12

Which points satisfy the following system of linear inequalities? Show all your work. -5y+4x<18 -15y-9x>117

Mathematics
1 answer:
raketka [301]3 years ago
3 0
The lines intersect on the graph at (-3, -6).  The solution set falls within the domain of negative infinity to positive infinity and a range of y is greater than or equal to -6.  Without having the capabilities of graphing it to show you, that's the best I can do. Graph the lines (dotted, I presume) and see if you can follow those guidelines for the solution set.
You might be interested in
Which number can be added to a rational number to explain that the sum of two rational numbers is rational? A) π B) 3 7/8 C) 8 D
Vikki [24]
I believe the answer would be C

6 0
3 years ago
Read 2 more answers
Helpp please show work!
atroni [7]

Answer:

jdukfufuufkfjkrkhjjfjctyh es 636 díajfjkrkfjkfjehjjrs en el 36 minutos

7 0
3 years ago
CALCULUS - Find the values of in the interval (0,2pi) where the tangent line to the graph of y = sinxcosx is
Rufina [12.5K]

Answer:

\{\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\}

Step-by-step explanation:

We want to find the values between the interval (0, 2π) where the tangent line to the graph of y=sin(x)cos(x) is horizontal.

Since the tangent line is horizontal, this means that our derivative at those points are 0.

So, first, let's find the derivative of our function.

y=\sin(x)\cos(x)

Take the derivative of both sides with respect to x:

\frac{d}{dx}[y]=\frac{d}{dx}[\sin(x)\cos(x)]

We need to use the product rule:

(uv)'=u'v+uv'

So, differentiate:

y'=\frac{d}{dx}[\sin(x)]\cos(x)+\sin(x)\frac{d}{dx}[\cos(x)]

Evaluate:

y'=(\cos(x))(\cos(x))+\sin(x)(-\sin(x))

Simplify:

y'=\cos^2(x)-\sin^2(x)

Since our tangent line is horizontal, the slope is 0. So, substitute 0 for y':

0=\cos^2(x)-\sin^2(x)

Now, let's solve for x. First, we can use the difference of two squares to obtain:

0=(\cos(x)-\sin(x))(\cos(x)+\sin(x))

Zero Product Property:

0=\cos(x)-\sin(x)\text{ or } 0=\cos(x)+\sin(x)

Solve for each case.

Case 1:

0=\cos(x)-\sin(x)

Add sin(x) to both sides:

\cos(x)=\sin(x)

To solve this, we can use the unit circle.

Recall at what points cosine equals sine.

This only happens twice: at π/4 (45°) and at 5π/4 (225°).

At both of these points, both cosine and sine equals √2/2 and -√2/2.

And between the intervals 0 and 2π, these are the only two times that happens.

Case II:

We have:

0=\cos(x)+\sin(x)

Subtract sine from both sides:

\cos(x)=-\sin(x)

Again, we can use the unit circle. Recall when cosine is the opposite of sine.

Like the previous one, this also happens at the 45°. However, this times, it happens at 3π/4 and 7π/4.

At 3π/4, cosine is -√2/2, and sine is √2/2. If we divide by a negative, we will see that cos(x)=-sin(x).

At 7π/4, cosine is √2/2, and sine is -√2/2, thus making our equation true.

Therefore, our solution set is:

\{\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\}

And we're done!

Edit: Small Mistake :)

5 0
3 years ago
Enter the missing values in the area model to find –3(5.5n - 1) 5.5n -1 -3 According to the model above, -3(5.5n - 1) ​
Elena-2011 [213]

Answer:

“Information science is the science and practice dealing with the effective collection, storage, retrieval, and use of information. It is concerned with recordable information and knowledge, and the technologies and related services that facilitate their management and use.

Step-by-step explanation:

3 0
3 years ago
I think the answer is c can someone check me
Katen [24]

Answer:

D

Step-by-step explanation:

you first have to find the domain by finding where the expression is defined

so the answer would be x>5

6 0
3 years ago
Other questions:
  • 16 plus 8 to the 2 power divided by 4
    10·1 answer
  • on Monday camila spent 4 2/6 hours studying on Tuesday spent another 3 5/6 hours studying what is the combined length of the tim
    6·1 answer
  • Can someone help me with this question please?
    12·2 answers
  • How many sides does a regular polygon have with one central of 18 degrees?
    9·1 answer
  • Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord
    5·1 answer
  • 10x^2+15x+5??? Rewrite the question by completing the square factor
    10·2 answers
  • 5x +7y =19, -5x - 3y = 11
    8·1 answer
  • Plz help me plz fugugughfufgfhvjgu
    6·1 answer
  • If (2p + 1) is a prime number, which one of the following digits could be the value of p?
    7·1 answer
  • Can someone answer this correclt just need
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!