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Otrada [13]
3 years ago
14

What is the average rate of change for h(x)=x^2+x-6

Mathematics
1 answer:
arlik [135]3 years ago
4 0

\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{31em}{0.25pt}\\\\ h(x)=x^2+x-6 \qquad \begin{cases} x_1=0\\ x_2=3 \end{cases}\implies \cfrac{h(3)-h(0)}{3-0} \\\\\\ \cfrac{(3^2+3-6)~~-~~(0^2+0-6)}{3}\implies \cfrac{(6)-(-6)}{3} \\\\\\ \cfrac{6+6}{3}\implies \cfrac{12}{3}\implies 4

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What is the degree of 7x^5+6x^3+4x+2
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Tasya [4]

The coordinates of point F are (15/4 , -5/2)

  • The coordinates of point G  = (-3/4 , -3)

<h3>What is the coordinates  about?</h3>

From the image attached:

AB divided into 4 similar parts, hence

  • E is the mid-point of AB
  • D is the mid-point of AE
  • F is the mid-point of EB

Note that the rule of the mid-point states that:

When M (x , y) is the mid-point of the segment of AB, where A (x1 , y1)  and B (x2 , y2), Then  x = (x1 + x2)/2 and that of  y = (y1 + y2)/2

Then lets solve for points E, F, D

Since A (-3 , -1) and B (6 , -3),

E is the mid-point of AB

Then  E =[(-3 + 6)/2, (-1 + -3)/2]

         = (3/2 , -2)

Since  F is the mid-point of EB,

         E (3/2 , -2) , B (6 , -3)

Then F = [(3/2 + 6)/2 , (-2 + -3)/2]

       = (15/4 , -5/2)

Since D is the mid-point of AE, A (-3 , -1), E (3/2 , -2)

Then  D = [(-3 + 3/2)/2 , (-1 + -2)/2]

           = (-3/4 , -3/2)

Note also that:

 BC is said to be an  horizontal segment due to the fact that B and C have similar y - coordinate and G can be found on BC.

Since the y-coordinate of G is similar to y-coordinate of B and C

Then  y-coordinate of G is =  -3

Since DG ⊥ BC

Then DG =  vertical segment

So  G has similar x-coordinate of D

Then  The x-coordinate of G = -3/4

The  G = (-3/4 , -3)

Learn more about coordinate from

brainly.com/question/12481034

#SPJ1

6 0
1 year ago
What is 11/4-3/8= what is it or get me the right answer
likoan [24]

Answer:

2 3/8 is the answer

Step-by-step explanation:

11/4 - 3/8

We will find the LCM of 4 and 8, which is 8.

We will do 11/4*8, which 8/4 = 2 and 2*11 = 22

Then we will do 3/8*8 = 8/8 = 1 = 3*1 = 3

So the answer will be <u>22-3 </u> =  19

                                        8     =   8

Mixed Fraction = 2 3/8

6 0
2 years ago
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