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Alika [10]
2 years ago
13

Worth 30 points help plz!Graph the solution of the inequality −3(x + 1) ≤ 6 on the number line.

Mathematics
2 answers:
stealth61 [152]2 years ago
7 0

Answer: Filled circle at -1 shading to the left.

Step-by-step explanation:

-3x+3<6

     -3 -3

_________

-3x<3

-3x/-3     3/-3

=  -1

and the < sign means less than or equal to. Hope this helps!

lilavasa [31]2 years ago
3 0

Answer:Option D

Step-by-step explanation:

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Write the recursive rule and the iterative rule for the following sequence: 10, 6, 2, -2, -6
barxatty [35]
The recursive rule is
a_n=a_{n-1}+(-4). 
The iterative rule is
a_n=14-4n

The recursive rule is given by the formula 
a_n=a_{n-1}+d, where d is the common difference.  Our common difference is -4, which gives us the recursive rule above.

The iterative rule begins with the formula
a_n=a_1+d(n-1), where a₁ is the first term and d is the common difference.  Our first term is 10 and our common difference is -4:
a_n=10+(-4)(n-1)&#10;\\\text{Using the Distributive Property,}&#10;\\&#10;\\a_n=10+(-4*n)+(-4*-1)&#10;\\&#10;\\a_n=10-4n+4&#10;\\&#10;\\\text{Combining like terms,}&#10;\\&#10;\\a_n=14-4n
7 0
3 years ago
find the particular solution to the exact differentiable equation dy/dx=(2e^x)-cosx passing through the point (0,3)
lozanna [386]

Answer:

y = 2eˣ - sin x + 1  

Step-by-step explanation:

dy/dx = 2eˣ - cos x

(0, 3)

Integrate dy/dx to find the original function.

  • y = 2eˣ - sin x + C

Solve for C by substituting the point given.

  • 3 = 2e⁰ - sin(0) + C
  • 3 = 2 - 0 + C
  • 1 = C

Now we can substitute C into the original function.

  • y = 2eˣ - sin x + 1  

This is the particular, or explicit, solution to the differentiable equation.

7 0
3 years ago
How to draw a line that passrs through the origion and has a slope of 2/3?
Tcecarenko [31]
The origin is (0,0)

y = mx + b
slope(m) = 2/3
(0,0)...x = 0 and y = 0
now we sub and find b, the y int
0 = 2/3(0) + b
0 = b

so ur equation is y = 2/3x + 0...or just y = 2/3x
6 0
3 years ago
Slove algebraically<br><br>3x - 4y = -24<br>x +4y=8<br>​
Vanyuwa [196]

Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3

<u>Solution:</u>

We have been given two equations which are as follows:

3x - 4y = -24   ----- eqn 1

x + 4y = 8   -------- eqn 2              

We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.

We rearrange eqn 2 as follows:

x + 4y = 8

x = 8 - 4y  ------eqn 3

Now we substitute eqn 3 in eqn 1 as follows:

3(8 - 4y) -4y = -24

24 - 12y - 4y = -24

-16y = -48

y = 3

Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:

x = 8 - 4(3)

x = 8 - 12  = -4

Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.

5 0
2 years ago
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS ASAP
RoseWind [281]

Answer:

The answer is 4 minutes

Step-by-step explanation:

I divided 825 by 3 and got 165. If you multiply 165 by all the factors, you get approximately 4 minutes. It's the closest. Try that one.

8 0
2 years ago
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