Find the average rate of change of

Find The Average Rate Of Change Of

Answers

Answer 1

Answer:

Rate of change = - 4  

Step-by-step explanation:

[tex]h(x) = -x^2 + 3x + 1 \\\\h(2) = -(2)^2 + (3 \times 2) + 1 = - 4 + 6 + 1 = 3\\h(5) = - (5)^2 + ( 3 \times 5) + 1 = - 25 + 15 + 1 = -9\\[/tex]

Rate of change :

               [tex]= \frac{h(2) - h(5)}{2-5} = \frac{3-(-9)}{2-5} = \frac{3+9}{-3} = - \frac{12}{3} = -4[/tex]


Related Questions

I DONT NEED SLEEP I NEED ANSWERS

Answers

Answer:

You asked to solve questions 3 and 5

#3

Since CD = EF,

9x - 1 = 41 - 5x9x + 5x = 41 + 214x = 42x = 3EF = 41 - 5*3 EF = 26#5

MN = NP as their perpendicular bisectors are of same length.

9x - 43 = 5x + 339x - 5x = 33 + 434x = 76x = 19mMP = 360 - (mMN + mNP)mMP = 360 - (9*19 - 43 + 5*19 + 33) mMP = 104

I need help again lol

Answers

Answer:

Probably 1

Step-by-step explanation:

I'm not sure, but I would think that if we wanted to round it to 5,000, we would want the number to be as close to 5,000 as possible.

Answer:

1 or 2

Step-by-step explanation:

5160.5 is less than 5,500 therefore it rounds down to 5,000.

5260.5 is less than 5,500 therefore it rounds down to 5,000.

A music store was selling a CD set at a price of $28 with a 40% discount. What was the final selling price?​

Answers

Answer:

11,2$

Step-by-step explanation:

28$ — 100%

x$  — 40%

x = 28 · 40/100

11,2$

Hello can someone factor these by grouping please will award brainly no jokes.

Answers

Answer:

9g2 - 42g + 49 AC = 9 × 49 = 441 factors = -21, -21

9g2 - 21g - 21g + 49

3g (3g - 7) - 7(3g - 7)

(3g - 7) (3g - 7)

g2 + 2g - 24 AC = 1 × 24 = 24 factors = 6, -4

g2 + 6g - 4g - 24

g (g + 6) - 4(g + 6)

(g + 6) (g - 4)

Solve the inequality
x/4 is greater than or equal to -6

a) x ≤ –24

b) x ≥ 10

c) x ≥ –10

d) x ≥ –24

Answers

Answer:

D

Step-by-step explanation:

x/4≥-6

 *4  *4

x≥-24

So it's D.

---

hope it helps

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{x}{4}\geq-6}[/tex]

[tex]\large\text{SUBSITUTE 1 where x is at temporarily, so we can simplify both}\\\large\text{sides of your inequality}[/tex]

[tex]\large\text{NEW EQUATION: }\mathsf{\dfrac{1}{4}x \geq-6}[/tex]

[tex]\large\text{MULTIPLY by 6 to BOTH SIDES}[/tex]

[tex]\mathsf{4\times\dfrac{}{}x \geq 4\times-6}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{4\times\dfrac{1}{4}}\large\text{ because that gives you the value of 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{4\times-6}\large\text{ because it helps you find out the number or value}\\\large\text{that is being compared to your x-value}[/tex]

[tex]\mathsf{4\times-6=\boxed{\bf -24}}[/tex]

[tex]\large\text{So, the number \underline{-24} is being compared to your x-value}[/tex]

[tex]\bullet\large\text{ Your circle is CLOSED and it is shaded to the right side of the}\\\large\text{number}\huge\checkmark\\\\\\\large\textsf{Random fact about the inequality}\uparrow[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf x}\bf \geq\large\textsf{\bf -24 \huge\text{Option D.}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

You get a gift of $1,000.  You decide that you want to invest all of the money in a savings account.  However, your bank has two different savings plans.  Determine the final amount in the account for each plan in 5 years.  Round your answers to two decimal places if needed. 
 
Plan A:  The bank gives you 4% interest rate and it is compounded every two months.  
 
Plan B:  The bank gives you a 10% interest rate and compounds the interest every 6 months.

Final Account balance for Plan A: $ 
 
Final Account balance for Plan B: $

Answers

So you basically get 104% of your Savings Account every two months for Plan A.

Plan B makes it 110% of your Savings Account every 6 months. Now we just calculate it...I'm sure your allowed a calculator, so just do 110% of it till 5 years.

If you still don't understand I can explain it more.

In 1990, a radio costs $25. Now, the radio costs $5. What is the percent of change?

Answers

Answer:

20%

Step-by-step explanation:

[tex]\frac{5}{25} =\frac{1}{5}=0.2=20[/tex]%

Answer:

80% decrease

Step-by-step explanation:

take the difference between the two prices and divide it by the original price, then multiply by 100 (to make it a %)

(25-5) / 25

= 20/25

= .8 x 100

= 80% decrease

The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H ,applied to the pot.
When H=6 T=90.
What must the cooker setting be if it takes 5 minutes to boil the water?

Answers

Answer:

[tex]1.8[/tex]

Step-by-step explanation:

Since the time for the pot of water to boil is inversely proportional to the cooker setting, H, as one goes up, the other must go down:

[tex]T\propto \frac{1}{H}[/tex]

Convert 5 minutes to seconds:

[tex]5\cdot 60=300\:\mathrm{s}[/tex]

Therefore, from the initial data given (When H=6, T=90), the new time is [tex]\frac{300}{90}=3\frac{1}{3}[/tex] larger. Therefore, H must be [tex]3\frac{1}{3}[/tex] times smaller for them to be inversely proportional.

[tex]H=\frac{6}{3\frac{1}{3}}=\boxed{1.8}[/tex]

9.


For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.


A. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 – x – 1


B. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + x – 1


C. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.75); f(x) = –x2 + x – 1


D. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + 2x – 1

Answers

Answer:

Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + x – 1

Step-by-step explanation:

The answer is A because the axis of symmetry is in between 0 and 1, the vertex lies on 0.5 and -0.75, and the parabola opens down so the coefficient of a is -1, and the y-int or the value of c is -1

The vertex of the function is  axis of symmetry is  and the formula for the function is  Option (a) is correct.

Further Explanation:

Given:

Calculation:

The standard form of the parabola is shown below.

Here, the parabola has vertex at  and has the symmetry parallel to x-axis and it opens left.

The general form of the parabola can be expressed as follows,

The graph is a downward parabola.

From the graph it has been observed that the vertex of the parabola is

Symmetry of the graph is  

The -intercepts of the graph is  Therefore, the value of is  

The value of  is -1 as the graph is a downward parabola.

The vertex of the function is  axis of symmetry is  and the formula for the function is  Option (a) is correct.

Learn more:

1. Learn more about unit conversion brainly.com/question/4837736

2. Learn more about non-collinear brainly.com/question/4165000

3. Learn more aboutbinomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Conic sections

Keywords: vertex, symmetry, symmetric, axis, y-axis, x-axis, function, graph, parabola, focus, vertical parabola, upward parabola, downward parabola.

the following statements is are true regarding the figure above​

Answers

Answer:

a and b

Step-by-step explanation:

it is a point and a point is a zero demensional object.

the answer is a and b

Leon drew a life cycle of Insect M as shown below.

[Life cycle of Insect M, a mosquito]

Leon's mum suggested that pouring oil on the surface of the water will prevent breeding of Insect M. Explain how can this help to prevent breeding of insect M.​

Answers

Step-by-step explanation:

Larval mosquitoes breath through trachea in their siphons. This is a structure analogous to the snorkel on a diesel electric submarine. It allows for gas exchange with the atmosphere while the remainder of the insect is submerged. The opening of the siphon is hydrophobic so it won’t get wet and blocked by water. This works well to keep the siphon and the trachea open under normal conditions. Oil when poured on water forms a thin film. When there are mosquitos in that water, when their siphons contact the oil layer, the oil wets and blocks their siphons and suffocates the mosquitoes. This works against most, but not all mossies, as evolution is an amazing process. Some mosquitoes (Mansonia, Coquilletidia) have a siphon designed to penetrate the air vessels in aquatic plants and they don’t need to come to the surface to breath like other mossies. So oil won’t work on these genera.

An object In geometry with no width,length or height is a:

A. angle

B. line

C. point

D. ray

Answers

Answer:

C. Point

Step-by-step explanation:

a point would just be a dot on a graph and it won't have an exact height or size or shape

The answer is c a point

The figure below is a square. Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer: 9√2

Step-by-step explanation:

The length of each side of the square is 109/25 units.

What is Pythagoras theorem?

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

The length of the diagonal of the square in given figure is 9 units.

Suppose each side of square be x unit.

Apply Pythagoras theorem to obtain length of the side as follows,

x² + x² = 9²

=> 2x² = 81

=> x² = 81/2

=> x = 6.36

       = 636/100

       = 159/25

Hence, the value of x in the simplest radical form is 6.36 units.

To know more about Pythagoras theorem click on,

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The sum of two numbers is -5. The difference is
13. What is the smaller number?

Answers

Answer:

The smaller number is -9.

Step-by-step explanation:

Let x and y be the two unknown numbers.

Their sum is -5. Hence:

[tex]x+y=-5[/tex]

Their difference is 13. Hence:

[tex]x-y=13[/tex]

This yields a system of equations. We can solve this using elimination. Adding the two equations together:

[tex](x+y)+(x-y)=(-5)+(13)[/tex]

Simplify:

[tex]2x=8[/tex]

Divide both sides by two. Thus:

[tex]x=4[/tex]

Using either equation (I'll use the first):

[tex](4)+y=-5\Rightarrow y=-9[/tex]

So, our two numbers are 4 and -9.

The smaller number is -9.

Name the vertex

does anyone know what this is called please help

Answers

Answer:

J

Step-by-step explanation:

The vertex is where the endpoint of the two rays meet

The vertex is J

A tin has a radius of 3cm anf height 6cm. Find the volume, in litres of the liquid that will fill the tin to capacity, correct to 2 decimal places

Answers

Answer:

The capacity of tin is 0.17 liter.

Step-by-step explanation:

radius, r = 3 cm

height, h = 6 cm

The capacity of the tin is given by

[tex]V =\pi r^2 h\\\\V =3.14 \times 3\times 3\times 6\\\\V = 169.56 cm^3[/tex]

Now

1000 cubic cm = 1 liter

So, the capacity in liter is

V = 0.169 liter = 0.17 liter

evaluate 4m-10-8=-2+12

Answers

Answer:

Step-by-step explanation:

4m-10=-2+12

4m=-2+12+10

m=20/4

m=5

Answer: M=7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain the variable.

PLEASEEE I NEED HELLPPPP

The graph below represents which system of inequalities?

(Answer options at the bottom)

Answers

Answer:

The answer is B.

hdjddihfkdhdbfkdudu

Math question final part thanks Jim ! :)

Answers

Part (e)

See the diagram below that mentions this part.

================================================

Part (f)

See the diagram that mentions this part. It's in a separate image.

The item can be anything really. I'm going to add a trampoline which is a square shown in purple. The square is rotated 45 degrees so it looks like a diamond shape. The rotation isn't necessary but I figured to spice things up compared to the other figures which were mostly squares or rectangles. If we split the purple square into 4 triangles, and apply the pythagorean theorem, then we can find the length of each side of the purple square to be roughly 2.828 cm.

Scaling things up, the trampoline in real life is 2*2.828 = 5.656 meters along each dimension.

With any square the angles are always 90 degrees.

(Please Hurry) Use 3. 14 as an approximation for it.
Which is the area of a circle with a radius of 6 cm?
A. 18. 84 cm
B. 28. 26 cm2
C. 37.68 cm2
D. 113.04 cm2
E. about 355 cm2

Answers

The formula for the area of a circle is:

Area = PI x r^2

You are given r (radius) and pi:

Area = 3.14 x 6^2

Area = 3.14 x 36

Area = 113.04 cm^2

Answer:

[tex]\large{\fbox{D. 113.04 cm²}}[/tex]

Step-by-step explanation:

Gɪᴠᴇɴ :-❥ Rαdíus σf círclє ( r ) = 6 cm❥ Vαluє σf pí π = 3.14

Tᴏ FɪɴD :-❥ Αrєα σf círclє

SᴏʟᴜTɪᴏN :-

Tσ fínd αrєα σf círclє

wє usє fσrmulα

αrєα σf círclє = π × ( r ) ²

suвstítutє thє vαluє

αrєα σf círclє = 3.14 ×( 6 cm × 6 cm)

multíplч thє vαluє

αrєα σf círclє = 113.04 cm

Hєncє, αrєα σf círclє ís 113.04 cm ².

⚊⚊⚊⚊⚊⚊✬✥✬⚊⚊⚊⚊⚊⚊

I really need help on this one

Answers

Answer:

2000 represents the original amount of butterfly's

3/4 represents the change in butterfly's

To find c) plug 3 in for t and solve.

I need help bad I don’t understand it I’m struggling bad I need help

Answers

Answer:

Step-by-step explanation:

angle k is 98 degree because angle k and 98 degree are alternate exterior angles and alternate exterior angles are equal.

If the angles are parallel x is 98
Because,
Y=x (corresponding angles)
Y also = 98 (vertically opposite)
Therefore, x = 98

Regards,
ArmyCee:)

Of 30 student, 1/3 play sports. Of those who play sports, 2/5 play soccer. How many students play soccer.

Answers

Answer:

12

Step-by-step explanation:

you can get to your friends house in an hour and a half on your electric scooter.
the scooter travels 49 MPH.
how many miles away is your friends house? (miles)

Answers

Answer:

49+49%2=73.5mile is the required answer

Two sevenths of the height of a sailboats tallest mast is 8 feet. How many feet high is the sailboats tallest mast

Answers

Answer:

The answer is 28 ft

Step-by-step explanation:

Since two sevenths of the height of a sailboats tallest mast is 8 feet, we keep adding two sevenths until we get its tallest mast.

2/7 = 8 ft

4/7 = 16 ft

6/7 = 24 ft

(Adding 1/7 which is 4 feet)

we get 7/7 = 28 ft

A start-up company is about to market a new computer printer. It decides to gamble by running commercials during the Super Bowl. The company hopes that name recognition will be worththe high cost of the ads. The goal of the company is that over 40% of the public recognize its brand name and associate it with computer equipment. The day after the game, a pollster contacts 420 randomly chosen adults and finds that 181 of them know thatthis company manufactures printers. Would you recommend that the company continue to advertise during Super Bowls

Answers

There is not sufficient evidence to support the claim that over 40% of the public recognize its brand name and associate it with computer equipment thus the company should not continue to advertise during the Super Bowls. So No. Hope I helped have a good day !

Reject the null hypothesis and come to the conclusion that there is enough evidence to imply that the percentage of adults who are familiar with the company's name is much more than 40%.

What is the null hypothesis?

In order to evaluate whether the percentage of individuals who recognize the company's brand name differs considerably from the company's target of 40%, we must conduct a hypothesis test.

Let p represent the percentage of adults who can name the company's brand. The corporation hopes that more than 40% of adults will recognize its brand name, hence the alternative hypothesis is that p > 0.4.

A one-sample z-test can be used to examine this claim. The test statistic is determined as follows:

[tex]z = \dfrac{(p' - p)} { \sqrt{\dfrac{(p (1 - p)} { n}}}[/tex]

Where p is the null hypothesis value, n is the sample size, and p is the sample proportion.

In this instance, n = 420, p = 0.4, and p' = 181/420 = 0.431. With these values entered into the formula, we obtain:

[tex]z = \dfrac{(0.431 - 0.4)} { \sqrt{(0.4 \times \dfrac{0.6} { 420} }}= 1.65[/tex]

The likelihood of obtaining a z-value of 1.65 or higher is 0.0495 using a basic normal distribution table or calculator (assuming the null hypothesis is true). This is the test's p-value.

When the p-value is less than 0.05, which is considered to be significant (and corresponds to a 95% confidence level), we

Hence, based on this sample of 420 adults, we would advise the company to keep running Super Bowl advertisements as it seems to be succeeding in raising brand recognition among the general public.

To know more about the null hypothesis follow

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which of this a values are solutions to the following equation a^2=6.4 choose all answers that apply

Answers

Answer:

None of the above

Step-by-step explanation:

a^2=6.4

Take the square root of each side

sqrt(a^2) = sqrt(6.4)

a =±2.529822128

See image for question. Show workings.​

Answers

Answer:

6. The word ‘COMMITTEE’ has 9 letters.

So it can be permuted in 9 ways, but we’ve got letters repeating there. To avoid the same arrangements happening again, we eliminate the repetitions.

M repeats twice. T Twice. E twice.

7. If it must be greater than  2000 , the first digit must either be  2  or  3 , which means you will have  2  choices. After that, there will be  3  choices for the second digit. Then there will be  2  choices for the third digit. Lastly there will be just  1  choice for the last digit.

The number of permutations becomes  2×3×2×1=12 .

Step-by-step explanation:

Answer:

#6

The word has 9 letters with 2 Ms, 2Ts and 2Es

We need 2 Ts together, this reduces the number of positions by one.

The number of ways:

(9-1)!/2!2! = 8!/4 = 10080#7

Digits 0, 1, 2, 3

Number should be greater than 2000, it means the number is:

2xxx ⇒ 3P3 = 3! = 6 ways

or

3xxx ⇒ 3P3 = 3! = 6 ways

Total permutations:

2*6 = 12

Help me really quick pleaseeee

Manny's Mexican Restaurant has a policy of adding
a 17% automated tip if you have a party of 8 or
more.
Write an equation to represent the relationship
between tip(t) and the billib).

Answers

Answer:

Use the equation ?/45.20 = 35\100 and what you get is your answer

Hope this helps

Step-by-step explanation:

Someone help me please!

Answers

Answer:

The radius is 25 cm

A

Step-by-step explanation:

Area =[tex]\pi[/tex]* r^2

Area = 625 * [tex]\pi[/tex]

625 [tex]\pi[/tex] = [tex]\pi[/tex] * r^2                     The [tex]\pi[/tex]s cancel out

r^2 = 625                              Take the square roots of both sides              

sqrt(r^2) = sqrt(625)

r = 25

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