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
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

You might be interested in
a line passes through the point (-9,7) and has a slope of -4/3 write an equation in point slope form for this line
DENIUS [597]
The answer would be: Y= -4/3x - 5
5 0
3 years ago
6. Factor 4x from 22x2 + 40x 6.​
GuDViN [60]

6. Factor 4x from 22x2 + 40x 6.​

is that multiply 4x 22x2 +40x6

8 0
2 years ago
Read 2 more answers
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 25 km/h. How fast is
jekas [21]
Your answer is 21.39km/h
4 0
3 years ago
Simplify each exponential expression using the properties of exponents and match it to the correct answer.
saveliy_v [14]

1) (2\times3^-2)^3 (5\times3^2)^2 / (3^-2)(5\times2)^2 = 2

2) (3^3) (4^0)^2 (3\times2)^-3 (2^2) = 1/2

3) (3^7\times4^7) (2\times5)^-3 (5)^2 / (12^7) (5^-1) (2^-4) = 2

4) (2.3)^-1 (2^0) / (2.3)^-1 = 1

<u>Step-by-step explanation</u>:

Step 1 :

(2\times3^-2)^3 (5\times3^2)^2 / (3^-2)(5\times2)^2

⇒ (2^3) (3^-6) (5^2) (3^4) / (3^-2) (10^2)

⇒ (2.2^2.5^2) (3^-6.3^4) / (3^-2) (10^2)

⇒ (2)(10^2) (3^-2) / (3^-2) (10^2)

⇒ 2

Step 2 :

(3^3) (4^0)^2 (3\times2)^-3 (2^2)

Any number with power 'zero' is 1.

⇒ (3^3) (1^2) (3^-3) (2^-3) (2^2)

⇒ (2^(-3+2))

⇒ 2^-1 = 1/2

Step 3 :

(3^7\times4^7) (2\times5)^-3 (5)^2 / (12^7) (5^-1) (2^-4)

⇒ (12^7) (2^-3) (5^-3) (5^2) / (12^7) (5^-1) (2^-4)

⇒ (12^7) (2^-3) (5^-3) (5^2) / (12^7) (5^-1) (2^-4)

⇒ (2^-3) (5^(-3+2)) / (5^-1) (2^-4)

⇒ (2^-3) (5^-1) / (5^-1) (2^-4)

⇒ 1 / (2^-1)

⇒ 2

Step 4 :

(2.3)^-1 (2^0) / (2.3)^-1

⇒ (2^0)

⇒ Any number with power 'zero' is 1

⇒ 1

8 0
3 years ago
A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to choose from. How many ways are there to top a froze
Ilia_Sergeevich [38]
4096 ways : 8 candy toppings plus 4 fruit toppings is 12. Then 2^12 (2 different types of toppings and the 12 of total toppings) = 4096
4 0
3 years ago
Other questions:
  • Ronique recorded the number of games that the school softball team won each year for the past 7 years: 31, 24, 32, 22, 34, 28, 3
    5·2 answers
  • Which phrase best describes the translation from the graph y=(x-5)^2+7 to the graph of y=(x+1)^2-2
    8·2 answers
  • 3y-6+7y-4y i need help
    14·2 answers
  • The length of cherries vegetable garden is 6.56 meters. The width of the garden is 6.6 meters. What is the answer
    9·1 answer
  • Plssssss help me ill mark you brainliest
    14·2 answers
  • Which expression is equivalent to 2(8n)^4
    15·1 answer
  • What fraction is equal to 3?
    8·1 answer
  • Can anybody help me with this problem regarding Line Integrals (Calc 3)?
    7·1 answer
  • patrick is thinking of a number. his number is twice as large as the smallest number that rounds to 30 when rounding to the near
    5·1 answer
  • Tell wether the given value is a statistic or a parameter.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!