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Maurinko [17]
3 years ago
10

15. Identify the slope of the line below and state the equation of the line.

Mathematics
1 answer:
mamaluj [8]3 years ago
6 0

Answer:

Slope: m = 0

Equation: y = 3

Step-by-step explanation:

The equation of a line has the following format:

y = mx + b

In which m is the slope.

We choose two points which the equation crosses.

I am going to choose (0,3) and (1,3)

(0,3)

When x = 0, y = 3. So

y = mx + b

3 = 0m + b

b = 3

(1,3)

When x = 1, y = 3. So

y = mx + 3

3 = 1m + 3

m = 0

Slope: m = 0

Equation: y = 3

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3 0
3 years ago
9<br> Apply index law three to simplify each of the following.<br> a<br> (m2)<br> b<br> 6(p^)
lisabon 2012 [21]

Answer:

  • <u><em>See the law and the hypothetical example below.</em></u>

Explanation:

The <em>index law</em> that you are dealing with is:

            \dfrac{a^m}{a^n}=a^{m-n}

It is used when you have the quotient of powers with the same base.

To show you how to use that rule, let's work an example

Simplify:

              \dfrac{9a(m^2)}{6b(m^4)}

Factor 9 as 3² and 6 as 2×3:

         \dfrac{3^2a(m^2)}{2\times 3b(m^4)}

Group the factor with equal base:

           \dfrac{a}{2b}\times \dfrac{3^2}{3}\times \dfrac{m^2}{m^4}

Use the index law:

            \dfrac{a}{2b}\times {3^{(2-1)}}\times m^{(2-4)}\\\\\\ \dfrac{a}{2b}\times3\times m^{-2}\\\\\\\dfrac{3a}{2bm^2}

Note that it was used an additional rule:           a^{-n}=\dfrac{1}{a^n}

Thus,           m^{-2}=\dfrac{1}{m^2}

6 0
3 years ago
What is ten minus x is less than or equal to 35?
olga_2 [115]

Answer:

it is not equal 35

Step-by-step explanation:

it is not eaqual to 35

8 0
2 years ago
75 percent of the sutdents in a school went on a field trip. If 285 students went on the trip, how any students are in the schoo
natita [175]

Answer:

380

Step-by-step explanation:

285 / x = 75 / 100

Cross multiply 28500 = 75x

Divide by 75  380

8 0
3 years ago
What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)
DiKsa [7]
The correct answer is:  [C]:  " (0, 24) " .
___________________________________________________________

Explanation:
___________________________________________________________

Given the quadratic function:
___________________________________________________________

          →  "  y = (x <span>− 8) (x + 3) "  ;   </span>←  Note:  Replace the "f(x)" with: "y" ; 

→  Find the "y-intercept".
___________________________________________________________

→  Note:  The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" . 

   → So;  we set plug in "0" for "x" into our equation; and solve for "y" ; 

          → " y = (x − 8) (x + 3) " ;

          →   y = (0 − 8) (0 + 3)  ; 

          →   y = (-8) * (3)  ;  
 
          →   y = - 24 ; 
___________________________________________________________

So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:
 
the point at which:  "x = 0 ; y = -24 " ;

      →  that is; the point  the coordinates:  " (0, - 24) " ;
___________________________________________________________
  →  which is:  Answer choice:  [C]:  " (0, - 24) " .
___________________________________________________________
9 0
3 years ago
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