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
katrin2010 [14]
3 years ago
8

Find the average rate of change for fx) = x2 – 3x – 10 from x = 4 to x = 6.

Mathematics
1 answer:
Leviafan [203]3 years ago
6 0

Answer:

7

Step-by-step explanation:

The rate of change is defined as

f(x2) - f(x1)

--------------------

x2-x1

x2 = 6

f(6) = x^2 – 3x – 10 = 6^2 -3*6 -10 = 36 - 18-10=8

x1 = 4

f(4) = x^2 – 3x – 10 = 4^2 -3*4 -10 = 16 - 12-10=-6

Substitute the values into the expression

8 -  -6

--------------------

6-4

8+6

------------

2

14/2= 7

You might be interested in
A committee at the College Board has been asked to study the SAT math scores for students in Pennsylvania and Ohio. A sample of
ozzi

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis and the alternative hypothesis can be computed as:

H_0 :\mu_1 -\mu_2 = 0   (i.e. there is no difference between the SAT score for students in both locations)

H_1 :\mu_1 -\mu_2 \geq0 (i.e. there is a difference between the SAT score for students in both locations)

The test statistics using the students' t-test  for the two-samples; we have:

t = \dfrac{\overline x_1 -\overline x_2}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2} } }

t = \dfrac{580 -530}{\sqrt{\dfrac{105^2}{45}+\dfrac{114^2}{38} } }

t = \dfrac{50}{\sqrt{\dfrac{11025}{45}+\dfrac{12996}{38} } }

t = \dfrac{50}{\sqrt{245+342 } }

t = \dfrac{50}{\sqrt{587} }

t = \dfrac{50}{24.228}

t = 2.06

degree of freedom = (n_1 + n_2 ) -2

degree of freedom = (45+38) -2

degree of freedom = 81

Using the level of significance of 0.05

Since the test is two-tailed at the degree of freedom 81 and t = 2.06

The p-value  = 0.0426

Decision rule: To reject H_o  if the p-value is less than the significance level

Conclusion: We reject the H_o , thus, there is no sufficient evidence to conclude that there is a significant difference between the SAT math score for students in Pennsylvania and Ohio.

5 0
3 years ago
Translate into an algebraic expression: If I travel d miles in h hrs downstream on a river with a current of c mph, what would m
xenn [34]

Answer:

The speed is still water is v = \frac{d}{h} - c.

Step-by-step explanation:

Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:

c + v = \frac{d}{h}

Where:

c - Current speed, measured in miles per hour.

v - Speed of the person regarding current, measured in miles per hour.

d - Distance travelled downstream, measured in miles.

h - Time spent on travelling, measured in hours.

Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:

v = \frac{d}{h} - c

The speed is still water is v = \frac{d}{h} - c.

4 0
3 years ago
Anna has let out 50 meters of kite string when she observes that her kite is directly above emily. If anna is 35 meters from emi
zloy xaker [14]
If you draw a picture you can see that the kite, Anna and Emily form a right triangle.

so you can use the pythagorean theorem to find the answer. 

35 ^{2} +  b^{2} = 50^{2}

1,225 + b^{2} = 2,500

b^{2} = 1,275

b = 35.7 meters
3 0
3 years ago
Read 2 more answers
Please help I’ll give you brainiest !
Salsk061 [2.6K]

Answer:

{290,315,340, 365, 390, 415, 440, 465} That's the answer. Its hard for me to explain how i got it.

4 0
2 years ago
Prime factor tree of 385
timama [110]


11*5*7 

385 breaks down to 7 and 55. Bring the seven down. Break 55 down to 11 and 5. Then bring those down and you get 11*5*7

4 0
3 years ago
Other questions:
  • Find the value of x for which ABCD must be a parallelogram
    9·2 answers
  • Compare different pay scales. Decided if it is better to receive $300 a week or to be paid hourly at a rate of $7.50 per hour. W
    10·1 answer
  • What is the slope of the line shown <br>(4, 2) (-4, -2) <br>m=?
    6·1 answer
  • What is the value for B, after the equation cap a equals start fraction three over seven end fraction left parenthesis cap b min
    15·1 answer
  • Use absolutely value to express the distance between 10 and -4
    10·2 answers
  • Jamie is three times as old as his brother nick. Nick is twice as old as his sister nadia. Nadia is exactly 4 years old. How man
    10·1 answer
  • The table shows the ticket prices for a space museum. Which expression represents the cost
    7·2 answers
  • Look at pic 10 pts will mark brainilest
    10·1 answer
  • Next period is in 15 mintures
    15·1 answer
  • Resolve into partial fraction. (5x+2)/3x²+4x-4​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!