What is the average rate of change for the function f(x) = 3x2 – 5 on the interval –3 < x < -1​

Answers

Answer 1

Answer:

Algebra Examples

Popular Problems Algebra Graph f(x)=3x^2-5

f

(

x

)

=

3

x

2

5

Find the properties of the given parabola.

Tap for more steps...

Direction: Opens Up

Vertex:  

(

0

,

5

)

Focus:  

(

0

,

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

61

12

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

2

7

1

2

0

5

1

2

2

7

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

0

,

5

)

Focus:  

(

0

,

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

61

12

x

y

2

7

1

2

0

5

1

2

2

7

image of graph

Step-by-step explanation:


Related Questions

A 6-sided die rolled twice. Let E be the event the first roll is a 5 and F the event "the second roll is a 5".
(a) Are the events E and F independent? |
Input Yes or No: Yes
(b) Find the probability of showing a 5 on both rolls. Write your answer as a reduced fraction.
Answer:

Answers

C an you po at a pi c tire of it please

Arsenic concentration in public drinking water supplies is potential health risk. An investigator collected data of arsenic concentration in parts per billion (ppb) from 10 metropolitan phoenix communities and 10 rural Arizona. Under  = 5%, can the investigator conclude that the metropolitan phoenix water is different from the rural Arizona when it comes to the Arsenic concentration

Answers

Answer:

Hello your question has some missing data  below is the missing data

answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )

Step-by-step explanation:

The hypothesis ;

H0 : μ1 = μ2

Ha : μ1 ≠ μ2

significance level ( ∝ ) = 0.05

calculate for degree of freedom ( df ) = 13.2  ( using excel function )

find the test statistic ( to ) = -2.77

attached below is the remaining part of the solution

Find the volume of the object

Answers

Answer:

v=(6*9*12)

Step-by-step explanation:

Answer:

[tex]volume = \frac{1}{3} (length \times breadth \times height )\\ = (12 \times 9 \times 6) \frac{1}{3} [/tex]

38. The number of bottles a machine fills is proportional to the number of minutes the
machine operates. The machine fills 250 bottles every 20 minutes. Create a graph that
shows the number of bottles, y, the machine fills in x minutes.

Answers

Answer:

250/20 = 12.5/min

2 min = 25 bottles

The machine fills 25 bottles every two minutes. So you should make points (minutes, bottles) at (0,0), (2,25), (4,50), (6,75), (8,100), (10,125) and draw a line connecting them.

Check the pic
please explain

Answers

Answer:

Option C

Step-by-step explanation:

From the picture attached,

In ΔABC,

m∠BAC + y° = 180° [Linear pair of angles are supplementary]

m∠BAC = 180° - y°

m∠ABC = x° [Vertically opposite angles]

m∠ACB = z° [Vertically opposite angles]

By triangle sum theorem,

m∠BAC + m∠ABC + m∠ACB = 180°

(180 - y)° + x° + z° = 180°

x - y + z = 180 - 180

x - y + z = 0

Option C will be the answer.

Which statement is true?


Every term in Pattern B is 5 times the corresponding term in Pattern A.

Every term in Pattern B is 10 times the corresponding term in Pattern A.

Every term in Pattern B is 8 more than the corresponding term in Pattern A.

Every term in Pattern B is 15 the corresponding term in Pattern A.

Answers

Yes, your answer is pattern a and b

Use cubic regression to find a function that fits the following points (1,4),(2,9),(3,34),(-2,-11)

Answers

Answer:

The cubic regression that fits the given set of points is [tex]y = 2\cdot x^{3}-2\cdot x^{2} -3\cdot x + 7[/tex].

Step-by-step explanation:

Let the cubic regression be represented by the following third order polynomial:

[tex]y = a\cdot x^{3}+b\cdot x^{2}+c\cdot x + d[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a,b,c,d[/tex] - Coefficients.

By Algebra, we can determine analytically the values of all coefficients by knowing four distinct points. If we know that [tex](x_{1}, y_{1}) = (1,4)[/tex], [tex](x_{2},y_{2}) = (2,9)[/tex], [tex](x_{3}, y_{3}) = (3, 34)[/tex] and [tex](x_{4}, y_{4}) = (-2, -11)[/tex], then the system of linear equations is:

[tex]a+b+c+d = 4[/tex] (1)

[tex]8\cdot a + 4\cdot b + 2\cdot c + d = 9[/tex] (2)

[tex]27\cdot a + 9\cdot b + 3\cdot c + d = 34[/tex] (3)

[tex]-8\cdot a + 4\cdot b -2\cdot c + d = -11[/tex] (4)

The solution of the system of linear equations is: [tex]a = 2[/tex], [tex]b = -2[/tex], [tex]c = -3[/tex], [tex]d = 7[/tex]

The cubic regression that fits the given set of points is [tex]y = 2\cdot x^{3}-2\cdot x^{2} -3\cdot x + 7[/tex].

WILL GIVE BRAINLYIST FOR WHOSE RIGHT ITS TIMED TOO
Which metric unit name means “hundredth meters”?

A. millimeters
B. centimeters
C. meters
D. kilometers

Answers

Answer: Centimeters

Step By Step: 1 centimeter is equivalent to one hundredth of a meter. 1 millimeter is equivalent to one thousandth of a meter.

Answer: b

Step-by-step explanation:

HOW DO YOU FIND THE ARC OF A CIRCLE????

Answers

Answer:

1. Multiply the area by 2 and divide the result by the central angle in radians.

2. Find the square root of this division.

3. Multiply this root by the central angle again to get the arc length.

Step-by-step explanation:

Help Please!!!!!!!!!!

Answers

Answer:

[tex]y\leq 3x-2[/tex]

Step-by-step explanation:

Dwayne solved 6 ÷ 1/5 by using related multiplaction expression what is a related multiplaction expresion for 6 ÷ 1/5

Answers

Answer:

30

Step-by-step explanation:

It is keep change flip

Answer:

30

Step-by-step explanation:

A trapezoid with a height of 19 meters has a base of 26 meters and another base of 46 meters. What is the area of the trapezoid?


the area of the trapezoid is

A 342m2 B 598m2 C 684 m2D 1,368m2

Answers

Answer:684

Step-by-step explanation:

A= 1/2 h (b1+b2)

A= 1/2 19 (46+26)

A= 9.5 (72)

A=684

The answer is C... 684

Which describes the slope of the line in the graph?

A) zero
B) positive
C) negative
D) undefined

PLEASE HELP ASAP. God bless you.

Answers

I think the answer is B

What is the difference between 8x3-2x2+5x-7

Answers

-15

this is the answer :)

Answer:

I would say 55

Step-by-step explanation: 8x3=24-4=20+5x7=55

Find the gradient of the line segment between the points (-3,2) and (-2,5).

Answers

-3
Solution,
Let the points be A and B
A(-3,2)------->( X1,y1)
B(-2,5)------>( x2,y2)

Find the length of the missing side of the right triangle shown.

Answers

Answer:

17

Step-by-step explanation:

15^2 + 8^2 = 225 + 64 = 289

[tex] \sqrt{289} [/tex]

=17

write the decimal 0.015 as a fraction (line over the 15, the 15 is repeating)

Answers

0.015  in fraction

=[tex]\frac{15}{1000}[/tex]

Simplified is

=[tex]\frac{3}{200}[/tex]

Answer:[tex]\frac{3}{200}[/tex]

Find the missing dimension of the triangle. A triangle with base labeled b, height labeled 6 feet, and height labeled 14 square feet.

Answers

Answer:

4.67 feet

Step-by-step explanation:

The computation of missing dimension of the triangle is given below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

14 = 1 ÷ 2 × base × 6

14 = 3 × base

So, the base is

= 14 ÷ 3

= 4.67 feet

Here we assume the area to be 14 square feet

Answer:

4⅔ or 4.67 feet

Step-by-step explanation:

Area of a triangle is ½bh

½×b×6=14

3b=14

14÷3=4⅔

For a quadratic equation where: 2++=0
a
x
2
+
b
x
+
c
=
0

Where: 2−4<0
b
2

4
a
c
<
0

How many solutions do you have?

State whether the solutions are rational, irrational, or non-real. Explain why.

Answers

Answer:

Solutions will be unreal

Step-by-step explanation:

Given the quadratic equation ax^2+bx+c

The discriminant of the function determines its nature of its root

Discriminant D = b^2-4ac

If D <0, it shows that the roots of the equation will be a complex value. since D is less than 0 and the square root of a negative number does not exist. Hence, the solutions will be unreal

If g(x) = 2 log (2x) what is g(3)

Answers

Answer: 1.55630250

Step-by-step explanation:

g(x) = 2 log (2x)

For g(3) put 3 in place of x

g(3)=2 log (2*3)

      =2log(6)

g(3)      =1.55630250

Which number-line model represents the sum of 3/4 + (-1.75)?

Answers

Step-by-step explanation:

The fraction of -1.75 is -1 3/4

So, 3/4 + (-1 3/4) = 1.

6 cm
4 cm
2 cm
3 cm
What is the area of the polygon?

Answers

Answer:

36 cm^2 is the area

Explanation -->

- first, separate the polygon into two separate ones, horizontally, to make two rectangles

- NOTE : Area = length x width

- 6 times 4 = 24

- 4 times 3 = 12  (self-explanatory, you get 4 by subtracting 6 and 2, as you can see)

- 24 + 12 = 36

-- You get 36 cm^2 --

Hope this helps!! Please mark as Brainliest!

On a two-week job, a repairman works a total of 70 hours. He charges a $75 fee plus $40 per hour. An equation shows this relationship, where x is the number of hours and y is the total fee. which number has a corresponding x coordinate of 0
A. 14
B. 70
C. 40
D. 75

please NO links. ​

Answers

The correct answer should be letter b as in Bob and correct if I’m wrong sorry

Find the equation of the line which passes through (-2,-2) and (2, -4).
O A. y = -1/2 x
O B. y=-x-3
OC. y=-3x-5
OD. y = -2x – 6
O E. y = {x-3

Answers

It should be B

Calculate the slopes using the change of y over the change in x

-2/2=-1

That’s the only option with a slope of -1
It is B y =-X- 3 hope that helps

Find (g times f) (3)
f(x)=3x-2
g(x)=x^2

Answers

Answer GoF(3)=(3*3-2)^2=49

An ecologist is examining whether the number of fish caught in a large river basin has changed since a fire burned some of the surrounding forested area and vegetation along the river. Data in the form of fishing reports was available for a five-year period before the fire. From a random sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6. In a random sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.

Which of the following represents the standard error of the difference in the mean number of fish caught before and after the fire?

Answers

Answer:

The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.

or

sqrt [ (1.6^2)/195 + (2.1^2)/143 ]

A parallelogram has an area of 316.35 square inches and a base of 18.5 inches. What is the height

Answers

Answer:

17.1

Step-by-step explanation:

h=A/b

h= 316.35/18.5

h=17.1

A market research company conducted a survey of two groups of students from different schools. They found that students from school A spent an average of 90 minutes studying daily, while the students from school B spent an average of 75 minutes daily. They want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant. What sets shows the correct null hypothesis and alternative hypothesis?

Answers

Options:

1. Null Hypothesis: There is at least some difference in the mean times spent by the schools' students.

2. Alternative Hypothesis: The students from school B spend more time studying than the students from school A.

3. Null Hypothesis: School B students spend more time studying than School A.

4. Alternative Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.

Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

Null Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.

Alternative Hypothesis: There is no difference in the mean times spent by the schools' students

Answer:

Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

Step-by-step explanation:

The null hypothesis is usually represented as H0 or H1. For difference in mean between two samples, the null hypothesis is usually holds the notion that there is no difference in the mean of both samples and it is represented symbolically as:

H0 : μ1 - μ2 = 0 or H0 : μ1 = μ2

For the alternative hypothesis, it is usually the opposite of the null and while the Null holds that no difference exists, The alternative in this scenario will claim that both sample means are different or not equal. It is represented as :

H1 : μ1 ≠ μ2 or H1 : μ1 - μ2 ≠ 0

Answer: Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

Step-by-step explanation:

In the equation x +9x+ 20 = (x+ a)(x+b),b is an integer.
Find algebraically all possible values of b.

Answers

x+9x+20 = (x+4)(x+5) or (x+5)(x+4)
so the answer could be 4 or 5

The catapults are 14.5 m, end text apart, as shown. From catapult A, there is a 96 degree angle between catapult B and the target. From catapult B, there is a 58°degree angle between catapult A and the target.

How far should catapult B throw the snowball to reach the target?
Do not round during your calculations. Round your final answer to the nearest tenth of a meter.


Thank you very much.

Answers

Answer:32.9 m

Step-by-step explanation:

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