What is the rate of change over the interval [-1,2] for f(x)= 4x +1

Answers

Answer 1

Answer:

4

Step-by-step explanation:

To find the average rate of change, we have to plug in the difference between the intervals with this equation: f(b) - (fa) / x₂ - x₁

Let f(a) = f(-1) = 4(-1) + 1

     f(b) = f(2) = 4(2) + 1

     x₂ = 2

     x₁ = -1

[4(2) + 1 - (4(-1) + 1)] / [2 - (-1)]

[8 + 1 + 4 - 1] / [3]

12 / 3 = 4


Related Questions

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)

Answers

Answer:

8.8 yd

Step-by-step explanation:

Use Pythagorean:

[tex]x=\sqrt{5.5^2+6.9^2} =\sqrt{77.86} =8.8[/tex] yd (rounded)

pls help me with this math problem ​

Answers

Answer:

Graph D (last graph)

Step-by-step explanation:

y + 2 > 5

first subtract 2 from both sides

y > 3

Now that we know the solution to y we can plot it. We know it must start at 3, but also not be included because our solution is not ≥. This means we have an open box at 3 and an arrow in the positive direction.

Expand this expression by using the distributive property. 4( -2g + 4 -3t)

Answers

Answer:

-8g + 16 + 12t

Step-by-step explanation:

multiply 4 with -2g

multiply 4 with 4

multiply 4 with -3t

8 1/2- 1 1/4? Show work

Answers

Answer:

[tex]7\frac{1}{4}[/tex]

Step-by-step explanation:

Change to improper fraction.

[tex]8\frac{1}{2}[/tex] ⇒ [tex]\frac{17}{2}[/tex]

[tex]1\frac{1}{4}[/tex] ⇒ [tex]\frac{5}{4}[/tex]

Find the least common denominator (LCD) of the two fractions. ⇒ 4

[tex]\frac{34}{4}[/tex] - [tex]\frac{5}{4}[/tex] = [tex]\frac{29}{4}[/tex]

Convert to a mixed number.

[tex]\frac{29}{4}[/tex] ⇒ [tex]7\frac{1}{4}[/tex]

Hence, [tex]8\frac{1}{2} - 1\frac{1}{4} = 7\frac{1}{4}[/tex]

a glider begins its flight 1 1/2 miles above the ground. After 60 minutes it is at 1 mile above ground a glider begins its flight 1 1/2 miles above the ground. After 60 minutes, it is 1 mile above the ground.

Find the change in height of the glider. If it continues to descend at the rate, how long does the entire descent last until the glider reaches the ground?

Answers

It changed 1/2 a mile every hour (60 minutes) So it will take 3 hours (180 minutes) to reach the ground level.

Write 5^2/5 square root 5 as a single power of 5

Answers

I think it’s just 1 if it is a single power

hope you like my answer its -15

please make me brainliest

Suppose the temperature outside is dropping 3 degrees each hour. How much will the temperature change in 8 hours? is it negative

Answers

Answer:

The temperature will drop 24 degrees

Step-by-step explanation:

-3 degrees/hour for 8 hours

-3 x 8 = -24

It is negative.

Answer:

In 8 hours time it will be drop 24 degrees

8x3 = 24

Mason loves collecting sea glass from the beach. He recorded the weight of each jar full of sea glass. If he decided to distribute the sea glass equally among the jars, how much would each jar weigh?

Answers

First add up all the weights. 3.5 + 2.75 + 2.75 + 2.25 + 1.25 + 1 = 13.5 then divide by the # of jars. 13.5/6 = 2.25 lbs per jar

simplify the folowing equations


(x2 + 2xy + y2)(x+1)


x3 + x2 +2x2y +xy2 + y2 + 2xy


(6x -8)(2x -3)


(-2x – 1) (9x +2)


(2x2 - 4xy + 2y2) (3x-4)


6x3 – 12x2y + 6xy2 – 8x2 + 16xy-8y2


must show steps

Answers

Use FOIL method...

1. (x^2 + 2xy + y^2)(x+1)

x^3 + 2x^2y + xy^2 + x^2 + 2xy + y^2

Add Like Terms

There are no like terms.

2. x^3 + x2 +2x2y +xy2 + y2 + 2xy

3. (6x -8)(2x -3)

4. (-2x – 1) (9x +2)

5. (2x^2 - 4xy + 2y^2) (3x-4)

6. 6x^3 – 12x^2y + 6xy^2 – 8x^2 + 16xy-8y^2

please answer this write

Answers

Answer:

k

Step-by-step explanation:

sorry if its wrong

A family spent $169 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7 which equation written in standard form.



How many buckets of popcorn could be bought if a family buys 7 admission tickets?

Answers

Answer:

12

Step-by-step explanation:

7 (number of tickets) times 12 (cost of ticket) = 84     169 (total spent) - 84 (total ticket price) = 85   85 divided by 7 (price of popcorn) = 12.14 round down as they wouldn't have enough money to buy more than 12 popcorns.

. The speeds of cars on the highway have a mean of 65 mph with a standard deviation of 5 mph.
If a police car stopped cars that were going more than80mph, how many cars would they stop ifthere were 8000 cars on the highway

Answers

Answer:

do 65 / 5 then multiply 80 * it 100

If a man can walk 40 km in 2 days. how many km can he travel in 7 days?

Answers

Answer:

280

Step-by-step explanation:

If he can walk 40 in 2 days, multiply 7 by 40 to get 280 km total

Brainlyest only goes to the right answer

Answers

Answer:

yes yes yes you are great heeeee

Which expression should appear on Line 3?
3,000 + 600 + 42
3,000 + 60 + 13
3,000 + 60 + 42
300 + 60 + 42

Answers

Answer:

3000+60+42

Step-by-step explanation:

the order of operations says to multiply and divide from left to right before adding or subtracting from left to right. Putting the numbers in parenthesis helps.

(500*6)+(10*6)+(7*6)

(3000)+(60)+(42)

3000+60+42

Hope this helps!

3/7x2/3 tyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answers

Answer:

2/7

Step-by-step explanation:

3x2=6

7×3=21

6/21 = 2/7

2. What is the tangent ratio of angle & within a right triangle?

Answers

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According to Trigonometry,

[tex] \tan( \theta) = \dfrac{opposite }{adjacent} [/tex]

Answer:

Tangent = Opposite/Adjacent

Step-by-step explanation:

SOH = Sin = opposite/hypotenuse

CAH = Cos = adjacent/hypotenuse

TOA = Tan = opposite/adjacent

(3 m^6 n^2)^3 * 2mn^4

Answers

(3m^6 n^2)^3 • 2mn^4

9 m^18 n^6 • 2mn^4

answer: 18 m^19 n^10

which statement best desonbes a graph of paired points that form a proportional relationship?
A straight line cannot be drawn through all the points and the line passes through the origin.
A straight line can be drawn through all of the the points but the line does not pass through the origin.
A straight line can be drawn through all the points and the lines passes through the point where x = 0 and y=0
A straight line can be drawn through all the points and the line passes through the point (3, 0).

Answers

Answer:

A straight line can be drawn through all the points and the line passes through the point where x=0 and y=0. This best describes a graph of paired points that form a proportional relationship.

How many points of intersection are on the graph of the following system?

lbrace y = x2 + 3x − 7
y − x = 9


The linear-quadratic system has
(select)
points of intersection.

Answers

Answer:

2 points of interception of (3.12 , 12./12) and (-5.12 , 3.87)

Step-by-step explanation:

y − x = 9

y = x + 9

x+9 = x²+3x-7

x²+2x-16=0

x = (-2±√2²-4(1)(-16)) / 2 = (-2 ± √68) / 2 = -1 ± √17

x = 3.12 or x = -5.12

y = 12.12 or y = -3.87

Write the equation of the line in fully simplified slope intercept form

Answers

Y= -1/2-7
Slope intercept form is y=mx+b
‘m’ is your slope and ‘b’ is your y-intercept !

Answer:

y = -0.5x - 7 or y = -1/2x - 7 (both are same)

Step-by-step explanation:

m = slope

slope = y2 - y1 / x2 - x1

-9 - (-8) / 4 - 2 = -1/2 = -0.5

m = -0.5 

b = y-intercept

b = -7

y = mx + b

y = -0.5x + (-7)

y = -0.5x - 7

(negative slope)

24.4 divided by 0.4 im stuck like step bro

Answers

Answer is : 61

We then have the equations:
244 ÷ 4 = 61.000
and therefore:
24.4 ÷ 0.4 = 61.000
Both calculated to 3 decimal places.

in a class of 37 students, 24 study history, 15 study Geography and 6 other study neither History nor Geography. find how many students study both history and Geography brainly

Answers

Answer: 16

Step-by-step explanation: your welcome

Answer:

39

Step-by-step explanation:

15 students study Geography and 24 study history.

15+24=39

Can anyone help out with this algebra 1 question? It’s 2 am and I’m just exhausted here man, I’d really appreciate it.

Answers

Answer:

y = 3x/4 + 3

Step-by-step explanation:

y = mx + b

b = 3

(-4,0), (0,3)

m = 3/4

nothing I can't say english :[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[

Answers

Answer:

????????????????????????????????

If the point (2,4) belongs to f(x), what will be its image after the transformations 5f(1/2(x +1)] +3
O (1,5).
O (4,23).
O (3,23).
O (5,23).

Answers

Answer:

1,5

Step-by-step explanation:

Which expression illustrates the commutative property applied to the product?
(−8/9)⋅(−13)⋅(18)

A. (−8/9)⋅(18)⋅(−13)

B. (−8/9)⋅(−13)⋅(18)

C. (−8/9)⋅[(−13)⋅(18)]

D. [(−8/9)⋅(−13)]⋅(18)

Answers

your answer should be c

Question

Identify the parallel lines.



Lines and are parallel.

Answers

Answer:

4 and 1, 2 and 3, 5 and 8, 6 and 7

Step-by-step explanation:

Lines that are parallel are lines that never meet each other.

lines that never don’t touch

You run 6 miles in one hour and 12 miles in two hours.
a. 2 miles per hour
b. 6 miles
c. 6 miles per hour
d. 2 hours​

Answers

If you run 12 miles in 2 hours then it would be 6 miles per hour!
12/2 = 6

Natasha has a job putting letters in envelopes to be mailed. in 1 hour she put 42 letters in envelopes. which equation best represents y, the total number of letters natasha puts in envelops in x hours if she continues

Answers

Answer:

36 pages .394kb

Step-by-step explanation:

that's it well done

You can use multiplication along with converting statements to symbols.

The equation for the given condition is given by [tex]y = 42x[/tex]

where y represents the total number of letters Natasha puts in envelops in x hours.

How to form symbolic expressions from the description?

You need to know how to convert the statement to symbolic expression.

Suppose if it is said that a thing is increased by 4,then we write it as

that thing + 4

Suppose if it is written that 'x' objects are sold on p price per object. Since 1 object is sold at p price, then x objects will be sold at:

[tex]p + p + ... + p \: \: \: (x \: \: times) = p \times x[/tex]

Such conversion can help us to form symbolic expressions from the given description.

Since for the given case, in 1 hour, Natasha put 42 letters in envelopes, then in x hour she will put:

[tex]42 + 42 + ... + 42 \: \: (x \: times) = 42 \times x[/tex]

Since in x hours, she puts y envelopes but envelopes put in x hours came out as 42 times x, thus, both the values are equal, or

[tex]y = 42 \times x = 42x \text{\:\:(written in short)}[/tex]

The equation for the given condition is given by [tex]y = 42x[/tex]

where y represents the total number of letters Natasha puts in envelops in x hours.

Learn more about linear relationship here:

https://brainly.com/question/498084

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