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wolverine [178]
3 years ago
9

Graph the two lines 2x + 3y = 18 , 3x -4y > 16.

Mathematics
1 answer:
Dmitrij [34]3 years ago
7 0
The domain and range for each line is all real numbers. This is because all numbers are possible to input into x and all y values exist. 

The slope of the first line is -2/3 and the y intercept is 6. You can reach this conclusion by solving for y (putting it in slope intercept form). 

The slope of the second one is 3/4. and the y intercept is all real numbers greater than -4. This is true because it is an inequality and you can find these numbers by solving for y. 
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-3x^2+12x-8 in vertex form using the completing the square method! ASAP PLEASE WILL MARK U WHATEVER YOU WANT! WORK NEEDED
atroni [7]

Answer:

 -3x2 + 12x - 8

Step-by-step explanation:

Equation at the end of step 1

 ((0 -  3x2) +  12x) -  8

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  -3x2 + 12x - 8  =   -1 • (3x2 - 12x + 8)  

Trying to factor by splitting the middle term

3.2     Factoring  3x2 - 12x + 8  

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  +8  

Step-1 : Multiply the coefficient of the first term by the constant   3 • 8 = 24  

Step-2 : Find two factors of  24  whose sum equals the coefficient of the middle term, which is   -12 .

     -24    +    -1    =    -25  

     -12    +    -2    =    -14  

     -8    +    -3    =    -11  

     -6    +    -4    =    -10  

     -4    +    -6    =    -10  

     -3    +    -8    =    -11  

     -2    +    -12    =    -14  

     -1    +    -24    =    -25  

     1    +    24    =    25  

     2    +    12    =    14  

     3    +    8    =    11  

     4    +    6    =    10  

     6    +    4    =    10  

     8    +    3    =    11  

     12    +    2    =    14  

     24    +    1    =    25  

4 0
3 years ago
Read 2 more answers
What must be added to 1,316 to make 5​
Ratling [72]

Answer:

-1311

Step-by-step explanation:

1316 + x = 5

Subtract 1316 from both sides:

1316 - 1316 + x = 5 - 1316

On the left side they cancel out and we are left with:

x = 5 - 1316

Which simplifies to:

x = -1311

7 0
3 years ago
Consider the expressions below
Pachacha [2.7K]
Before we begin, remember the following:
-ve * -ve = +ve
-ve * +ve = -ve
+ve * -ve = -ve
+ve * +ve = +ve

Now, for each of the given expression, we will expand the brackets, combine like terms and then compare the final output with the given expressions.

First expression:
(x² + 15x + 65) + (2x - 5)(3x + 8)
x² + 15x + 65 + (2x*3x + 2x*8 - 5*3x - 5*8)
x² + 15x + 65 + (6x² + 16x - 15x - 40)
x² + 15x + 65 + 6x² + 16x - 15x - 40
x²(1+6) + x(15+16-15) + 65-40
7x² + 16x + 25
This expression corresponds to letter B

Second expression:
(4x + 1)(3x - 4) - (5x² - 10x - 12)
4x(3x) + 4x(-4) + 1(3x) + 1(-4) - (5x² - 10x - 12)
12x² - 16x + 3x - 4 - 5x² + 10x + 12
x²(12-5) + x(-16+3+10) - 4+12
7x² - 3x + 8
This expression corresponds to letter D

Third expression:
(8x² + 19x + 4) + (3x + 2)(x - 5)
8x² + 19x + 4 + (3x*x + 3x*(-5) + 2*x + 2*(-5))
8x² + 19x + 4 + (3x² - 15x + 2x - 10)
8x² + 19x + 4 + 3x² - 15x + 2x - 10
x²(8+3) + x(19-15+2) + 4-10
11x² + 6x - 6
This is equivalent to letter A

Fourth expression:
(6x + 1)(3x - 7) - (7x² - 34x - 20)
6x(3x) + 6x(-7) + 1(3x) + 1(-7) - (7x² - 34x - 20)
18x² - 42x + 3x - 7 - 7x² + 34x + 20
x²(18-7) + x(-42+3+34) - 7+20
11x² - 5x + 13
This is equivalent to letter C

Hope this helps :)
5 0
3 years ago
S f(-x)= x^2 -1 odd, even or neither
natka813 [3]

Answer:

  f(x) = f(-x) = x^2 -1 is an <u>even</u> function

Step-by-step explanation:

When f(x) = f(-x), the function is symmetrical about the y-axis. That is the definition of an <em>even</em> function.

___

An odd function is symmetrical about the origin: f(x) = -f(-x).

5 0
3 years ago
What is 0.00000354 moles per liter in standard notation?
mihalych1998 [28]
3.54x10 to the 5th is the standard notation for 0.00000354
5 0
2 years ago
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