Find the average rate of change of the function from [tex]x_{1}[/tex]= 1 to [tex]x_{2}[/tex] = 5.​
Function = [tex]x^{2}[/tex] - 4x + 10

Answers

Answer 1

Hi there!

[tex]\large\boxed{\text{Average rate} = 2}[/tex]

Use the following equation to solve:

[tex]\text{Average rate} = \frac{f(x_{2}) - f(x_{1})}{x_{2} - x_{1}}[/tex]

Solve for the y-values of the equation at the given x values:

f(1) = 1² - 4(1) + 10 = 7

f(5) = 5² - 4(5) + 10 = 15

Plug  the solved values into the equation:

[tex]\text{Average rate} = \frac{15 - 7}{5-1}[/tex]

Simplify:

[tex]\text{Average rate} = \frac{8}{4} = 2[/tex]


Related Questions

what is 5136 ÷ 160 in long division​

Answers

Answer:

                       0     0      3     2

1 6 0  /   5 1      3     6

   − 0___________      

     5__ 1_______    

   − ____ 0______    

     5 1 3  

   − 4 8 0____  

       3 3 6

     − 3 2 0_

         1 6

Step-by-step explanation:

If it looks weird i'm sorry

A hummingbird lives in a nest that is 9 meters high in a tree. The hummingbird flies 9.4 meters to get from its nest to a flower on the ground. How far is the flower from the base of the tree?

Answers

Answer: Distance of  flower from the base of the tree = 0.4 meters

Step-by-step explanation:

Given: A hummingbird lives in a nest that is 9 meters high in a tree. The hummingbird flies 9.4 meters to get from its nest to a flower on the ground.

Distance of  flower from the base of the tree = 9.4 meters - 9 meters

= 0.4 meters

Hence, Distance of  flower from the base of the tree = 0.4 meters

Pleaseee helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

ANSWER: FG = 69

FG = FK + KG
KG = 1/2(FK)
FK = 46

RULE: When it comes to centroids, the longer section of the line is always 2/3 of the entire line (+ the shorter section of the line is always 1/3). This means that the shorter section of the line is HALF of the longer section of the line.

FG = FK + KG
FG = 46 + 46/2
FG = 46 + 23
FG = 69

CHECK:
FK = 2/3(FG)
46 = 2*69/3
46 = 138/3
46 = 46 ✔️

or

KG = 1/3(FG)
1/2(FK) = 1/3(FG)
46/2 = 69/3
23 = 23 ✔️

Find the next term of the sequence.
24, 17, 10, 3, ...

-7
0
-4
-5

Answers

Answer:

Already answered but oh well

It's -4

Sam has $120 and Peter has 30% of this money. How much money does Peter have?.

Answers

Answer:

$36

Step-by-step explanation:

i dont know how to write this in a slope intercept form

Answers

it’s already in slope intercept form

Factorise x^2 -x- 6 please

Answers

Answer:

This expression can has the factors (x - 3) and (x + 2).

Step-by-step explanation:

[tex]x^2 - x - 6\\= x^2 - 3x + 2x - 6\\= (x - 3)(x + 2)[/tex]

what's 10cm in depth

Answers

Answer:

10 cm is equivalent to 3,937007874 inches.

Step-by-step explanation:

two angles are supplementary. the measure of the larger angle is 4 times more greater than the measure of the smaller angle what is the measure of the smaller angle

Answers

Answer:

36°

Step-by-step explanation:

Let the measure of the smaller angle be x and the larger angle be 4x.

Complementary angles add up to 180°.

Smaller angle + Bigger angle = 180°

x + 4x = 180°

5x = 180°

x = 180° ÷ 5

x = 36°

Smaller angle = 36°

Mr. Case is placing boxes along one of the walls in his attic. If the wall is 11 1⁄3 feet long and each box is 2 1/2 feet long, how many boxes can he fit along the

Answers

Answer:

4 8/15 boxes

Step-by-step explanation:

From the above question:

2 1/2 feet = 1 box

11 1/3 feet = x boxes

Cross Multiply

2 1/2 feet × x = 11 1/3 feet × 1 box

x boxes = 11 1/3 /2 1/2

x boxes = 34/3 ÷ 5/2

x = 34/3 ×2/5

x = 68/15

x = 4 8/15 boxes

Hence, he can fit 4 8/15 boxes

A system of equations is shown below. y = x 2+ 2x + 8 y = – 4x What is the smallest value of y in the solution set of the system?

Answers

Answer:

I think 2+-1x+9y

Step-by-step explanation:

Just add the numbers that have the same variables

Answer:

8

Step-by-step explanation:

smallest makes sense

A person is on a boat that is traveling at the boat's top speed of 70 knots per hour. Using dimensional analysis with the fact that 1.15 miles = 1 knot, how many miles per hour is the boat traveling?

Answers

Can you tell me what is the meaning of dimensional analysis

Geometry... Please help and I'll mark brainliest if I can. Triangle proofs & reasons

Answers

Answer:

I think you just figure out what two points make the area? i dont know tho

Step-by-step explanation:

A math class has 14 female students. Out of 24 total students, what is the probability what is the probability of randomly selecting a male student? **Reduce/Simplify**

Answers

Answer:

[tex] \frac{5}{12} [/tex]

Step-by-step explanation:

[tex]P(male \: student) \\ = \frac{number \: of \: male \: students}{total \: number \: of \: students} \\ = \frac{24 - 14}{24} \\ = \frac{10}{24} \\ = \frac{5}{12} [/tex]

Alternatively,

P(male student)

= P(not female)

= 1 -P(female)

[tex] = 1 - \frac{14}{24} \\ = 1 - \frac{7}{12} \\ = \frac{5}{12} [/tex]

☆P(event) is the probability of an event happening. The probability of an event not happening is 1 - probability of the event happening.

Find the length segment AB if A(-1,7) and B(11,-1) (Round to 1 decimal place)

Answers

The answer is c because you have to divide first and round the decimal by one place to the left or right

Which list shows the numbers in order from least value to greatest value

Answers

The answer is H

Explanation: what I did was change all of the numbers into decimal form so that we can compare them easier, -2 1/2= -2.5, -2.47 stays the same, -2/5 becomes positive .4 because the entire fraction is negative, you can look at it like -2/-5 and a negative divided by a negative is a positive, And then 5 stays a 5, And 21/4 equals 5.25 therefore your answer is H

Oh and by the way if you don’t know how to turn a fraction into a decimal you simply divide the top number by the bottom number for example 1/2 you take 1 and divide it by 2 which gives you .5 or 12/13 = .923076 hope this makes sense and that this helped

|3c-3|>6
please help

Answers

we are talking about absolute value here so |3c-3| ends up equaling 3c + 3 because of abs value. the equation ends up being 3c + 3 > 6 but if you’re solving for c then subtract 3 from both sides giving you 3c>3 and divide 3 by both sides which ends you up with c > 1

WILL MARK YOU BRAINLIEST HELP ASAP

Answers

Answer:

A. and B.

Plz brainlest me!!!!!!!!!  XD

Step-by-step explanation:

factor completely 48v + 56

Answers

Answer:

104v

Step-by-step explanation:

An ice skater skates completely around the two circles shown in the diagram. Each circle has a diameter of 20 meters. What is the approximate total distance skated by the ice skater? Use 3.14 for π . Round your answer to the nearest meter.
A) 628 meters
B) 251 meters
C) 126 meters
D) 63 meters

Answers

answer : c.) 126 meters

The solution is Option C.

The total distance skated by the ice skater is 126 meters

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the centre for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

Given data ,

Let the distance traveled by the skater be = D

Let the diameter of the circle A be = 20m

Let the diameter of the circle B be = 20m

So , the radius of circle A = 10 m

The radius of circle B = 10 m

Now , the value of π = 3.14

So , the distance traveled by the skater = perimeter of circle A + perimeter of circle B

Perimeter of Circle A = 2πr

Substituting the values in the equation , we get

Perimeter of Circle A = 2 x 3.14 x 10

Perimeter of Circle A = 62.8 m

And ,

Perimeter of Circle B = 2πr

Perimeter of Circle B = 2 x 3.14 x 10

Perimeter of Circle B = 62.8 m

Therefore , the distance traveled by the skater = Perimeter of Circle A + Perimeter of Circle B

Substituting the values in the equation , we get

The distance traveled by the skater = 2 x 62.8

The distance traveled by the skater = 125.6 meters

The distance traveled by the skater = 126 meters

Therefore , the value of D is 126 meters

Hence , The total distance skated by the ice skater is 126 meters

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ2

If you can answer this question you'll get brainliest.

Each base in this oblique prism is a right triangle. What is the volume of the figure?

Answers

Answer:

Volume = 66 cm³

Step-by-step explanation:

Area of the oblique triangular prism = Area of the triangular base × Vertical height from the base

From the figure attached,

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height of the right triangle})[/tex]

                                             = [tex]\frac{1}{2}(3)(4)[/tex]

                                             = 6 cm²

Vertical height of the given oblique prism = 11 cm

Volume of the given oblique prism = 6 × 11

                                                          = 66 cm³

Answer:

66!!

Step-by-step explanation:

The guy/girl below or above me is RIGHT!!!

NEED HELP ASAP, WILL GIVE BRAINLIEST

The equation, –2x2 + 5xy – 7y2 + 9x – 7y + 13 = 0, represents a conic.
What is the discriminant?
A) -51
B)-31
C)0
D) 11

What does the equation represents?
A) ellipse
B) parabola
C) hyperbola

Answers

9514 1404 393

Answer:

  B)  -31

  A)  ellipse

Step-by-step explanation:

In the form ...

  Ax² +Bxy +Cy² +Dx +Ey +F = 0

The discriminant is ...

  B² -4AC

The interpretation is ...

< 0  ⇒  ellipse, possibly a circle= 0  ⇒  parabola> 0  ⇒  hyperbola

Any of the figures may be degenerate.

__

Here, the discriminant is ...

  5² -4(-2)(-7) = -31

The equation represents an ellipse.

Find the value of f(-6).

Answers

The value of f(-6) is -3.

I just need help with similarity ratios. I don't understand how you get the ratios.​

Answers

13 because 10 divided by 5 is 2 and you do 7 times 2 and it is 14
Then x plus 1 is 14
14 take away one
X equals to 13

what shape is this.. quadrilateral
Trapezoid
Rhombus
Parallelogram

Answers

it is a quadrilateral
This is a quadrilateral

Helppppppppp I’m sooo stuck

Answers

Answer:

30%

Step-by-step explanation:

If you take 50% out of 100%, then taking the 3 (England) and multiplying it by 10 (for %), it would be 30% (and then Scotland would be 20%).

Hope this helps, happy holidays and have a great day!

Answer:

30% of them are England. and 20 for scotland just in case

What is the solution to the system below?
−4x+5y=27
x−6y=−2

Answers

Answer:

(-8,-1)

Step-by-step explanation:

50 points!!!! Please solve honestly or be reported TYYYY!!!

Answers

Answer:3y/(4y+6)-6y/(2y+3)

3y(2(2y+3))-6y/(2y+3)

(3y-6×2y)/(2(2y+3))

-9y/4y+6

1.st one is your answer. hope this helps

FIND THE SLOPE OF ALL + y-intercept TO BE MARKED BRAINLIEST 1) y=-1/2x-1 2) y=5/2x-5 3)y=-7/4x-5 4)y3/2x-1 5)y=x+4 6)y=-1/5x+2 7)y2/5x-1 8)y-5/4x+5 9)y=1/2x+3 10)y=2x-5 11)y=-3x-1 12) y=-4x 13)y=-3/5x 14) y=3x+5 15)-9+6x=3y 16)-2x=y-1

Answers

Answer:

5

Step-by-step explanation:

i had this question

Mm what expression is equivalent to this

Answers

Answer:

B. x^2/3

Step-by-step explanation:

When you see exponents inside and outside the parentheses like that, you multiply them.

4/3 x 1/3 = 4/9

2/3 x 1/3 =2/9

4/9 - 2/9 = 6/9

6/9 reduced is 2/3.

Answer:

B: x^2/3

Step-by-step explanation:

Firs add the 4/3 and the 2/3 to get 6/3 which is 2 and then divide it by 3 which is 2/3. so it is x^2/3

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