The difference quotient is used to determine the average rate of change of g(x) = 5x2 + 6x on the interval from x = 1 to x = 5. Which statement describes the process correctly?

Answers

Answer 1

Answer:

C. The difference quotient is 10x+5h +6, so the average rate of change is 10(1)+ 5(4) + 6 = 36

Step-by-step explanation:

Answer 2

The statement is the difference quotient is 10x+5h +6.

What is average rate of change of function?

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

Given function:

g(x) = 5x² + 6x

interval is x= 1 to x=5

so, the average rate of change is

=10(1)+ 5(4) + 6

= 36

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Related Questions

A sweater was discounted by 36%. The amount if the discount was $27. What was the cost of the sweater?

Answers

Answer:

The cost of the sweater would be $17.28

5x + 6 = 5x - 4 does it have an unique solution

Answers

Answer:

No, it does not.

Step-by-step explanation:

As if we attempted to solve for x, 5x & 5x will both cross each other out. There are no values of x that make the equation true.

3 less than the product of 4 and n what is the answer
A. 3 - 4n
B. 4n - 3
C. 3n - 4
D. 4n + 3

HELP QUICK

Answers

4n-3
product is multiplication so 4n would be the first part and then you take 3 away from it

PLS IT FOR MY ECONOMICS CLASS

Answers

Answer:

7. Hourly wage: 10 hr 2, 20 : 4, 40: 6, 60: 8, 80: 10, 100: 12, 120: 14, 140: 16, 160: 18, 180: 20, 200It should just be a negative slope


Ifx += 5, find the value of x?

Answers

didn't undrestood the question

Answer:

if x + 0 = 5, the value of x is 5.

Step-by-step explanation:

we discard 0 since it is of no value in the equation. thus, x = 5. i'm not sure if the one next to the plus sign is 0, since there's nothing there, but we'll assume it's 0. however, if it turns out to be another number, just transpose the other number next to 5 (it would be negative), and subtract. that will be your x.

Calculate the size of angle x.
Give your answer to 1 decimal place.
8 cm
11 cm
15 cm

Answers

Answer:

45.6° (1 d.p)

Step-by-step explanation:

Using the cosine rule;

c = √( a² + b² - 2ab Cosx)

11 =√(8² + 15² - 2 (8) (15) Cosx)

11² = 8² + 15² - 240 Cosx

11² - 8² - 15² = - 240 Cosx

-168 = -240 cosx

cosx = 0.7

x = cos⁻¹ (0.7) = 45.57 ≈ 45.6°

Answer:

45.6

Step-by-step explanation:

please help me answer this math problem

Answers

Answer:

The answer is AAS.

Step-by-step explanation:

Since you have 2 angles that are the same and 1 side which are the same or congruent.

A = E

and C=C they are vertical angles so they are the same

And the AB and ED  side are also same.

Describe the pattern. Draw what might be the next three figures in the pattern

Answers

Answer:

i dont know lol

Step-by-step explanation:

A 228 foot cable is attached to a 43 foot tower. What
angle would the cable make with the ground?

Answers

sinX=43/228
X=sin-1(43/228)
X=10.9

find the equation of a line that is parallel to the straight line 2x-y=-3 and crosses the x-axis at x=-5​

Answers

Answer:

y=2x+10

Step-by-step explanation:

In line equations its helpful to write your line in the form y = ax + b. This helps because a is always the gadient of the line and b is always the y intercept.

In this case it is y=2x+3

All parallel lines have the same gradient. The gradient of this line = 2.

If the line crosses the x axis at x=-5, then when x =-5 y = 0.

If you put all this in the form y =ax + b you get 0 = 2(-5) +b

So all you need to do to find b is rearrange. b = 10.

Therefore your line has gradient 2 and y intercept 10.

y = 2x + 10

tan 2A + sin 2A=4 tan A/(1 - tan4 A)​

Answers

Answer:

[tex]when \: \\ \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } \: \: and \\ \sin(2x) = \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ then \\ \sin(2x) + \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } + \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x)(1 + {( \tan(x)) }^{2} + 2 \tan(x) (1 - {( \tan(x)) }^{2} }{(1 + {( \ \tan(x)) }^{2}(1 - {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x) \times 2 }{1 - {( \tan(x) }^{4} } \\ = \frac{4 \tan(x) }{1 - {( \tan( \times ) )}^{4} } [/tex]

Step-by-step explanation:

If you need any explanation. I can do it, my friend. you can communicate with me to that or any thing do you need in math

Angela starts a blog about wheelchair basketball. In the first 4 days,
the blog gets 22 new subscribers. At this rate, how many new
subscribers can Angela expect in 30 days? Show your work.

Answers

165 new subs.

22 divided by 4 is 5.5. So approximately 5.5 new subs per day. Multiply that by 30 is 165

What is the volume, in cubic inches, of one cube with an edge length of inch?

Answers

Answer:

We know that each cube with a -inch edge length has a volume of cubic inch, because . Since the prism is built using 24 of these cubes, its volume, in cubic inches, would then be , or 3 cubic inches.

Step-by-step explanation:

Need help on this please help

Answers

do 20 x 3.14 and then youll have your anwser...id use a calculator btw

Then round it to the nearest whole number and BOOM anwser!!

i got 62.8 so round that and youll have ur anwser

PLS PLS PLS HELPPP please...

Answers

Answer: x=12

Step-by-step explanation: 10(x−3)=90

(10)(x)+(10)(−3)=90 (Distribute)

10x+−30=90

10x−30=90

Step 2: Add 30 to both sides.

10x−30+30=90+30

10x=120

Step 3: Divide both sides by 10.

x=12

What is the arc measure, in degrees, of major arc \stackrel{\large{\frown}}{ADC} ADC ⌢ A, D, C, start superscript, \frown, end superscript on circle PPP below?

Answers

Answer:

[tex]\stackrel{\large{\frown}}{ADC} = 186^{\circ}[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the measure of [tex]\stackrel{\large{\frown}}{ADC}[/tex]

[tex]The\ sum\ of\ angles\ in\ a\ circle\ is[/tex] [tex]360^{\circ}[/tex].

So, we have:

[tex]\stackrel{\large{\frown}}{ADC} + \stackrel{\large{\frown}}{APB} + \stackrel{\large{\frown}}{BPC} = 360^{\circ}[/tex]

Where:

[tex]\stackrel{\large{\frown}}{APB} = 70^{\circ}[/tex]

[tex]\stackrel{\large{\frown}}{BPC} = 104^{\circ}[/tex]

Substitute these values in the above equation.

[tex]\stackrel{\large{\frown}}{ADC} + 70^{\circ} +104^{\circ} = 360^{\circ}[/tex]

[tex]\stackrel{\large{\frown}}{ADC} + 174^{\circ} = 360^{\circ}[/tex]

Collect Like Terms:

[tex]\stackrel{\large{\frown}}{ADC} = 360^{\circ} - 174^{\circ}[/tex]

[tex]\stackrel{\large{\frown}}{ADC} = 186^{\circ}[/tex]

Answer:

186 is correct on khan academn=y

A cylindrical container contains some sand. If the diameter of the container is 10 inches and its height is 3 inches, about how much sand fits inside the container?

Answers

Answer:

251.33in²

Step-by-step explanation:

A cylindrical container contains some sand. If the diameter of the container is 10 inches and its height is 3 inches, about how much sand fits inside the container?

We solve the above question using the formula for Total surface area of a cylinder.

TSA = 2πr (h + r) Square units.

Where

h = Height of the cylinder

r = Radius of the cylinder

Diameter of the container is 10 inches

Hence, radius = Diameter/2 = 10/2 = 5 inches

Height is 3 inches.

Hence, Total surface area =

2 × π × 5 (5 + 3)

= 10π × (8)

= 251.32741229 in²

Approximately = 251.33 in²

Therefore, the amount of sand that can fit into the cylinder = 251.33 in²

Learning Task 3
A. Write each sentence as:
(a) Conditional Statement
(c) Inverse Statement
(b) Converse Statement
(d) Contrapositive Statement
1. Vegetables are good for your health.
2. 3x + 8 = 14, x = 2
3. A right triangle has a 90° angle.
4. An eagle is a bird.
5. A whale is a mammal.
6. Two circle with equal diameters are congruent.
7. An angle that measures between 90 and 180 degrees is obtuse
angle.
8. Two planes with no common point are parallel.
9. Carrot is rich in Vitamin A.
10. All reptiles have scales.
B. Determine which statements in A both the conditional and converse
statements are true. Write it in biconditional statement.

IF WHO ANSWER THIS CORRECTLY I WILL TRANSFER MY 500+POINTS TO HER/HIM AND BRAINLIEST ANSWER don't try to answer rude i will bann it​

Answers

Answer:

A)

1.

Statement is - Vegetables are good for your health.

Let P - There are Vegetables , Q - they are good for health

Conditional statement is -If there are Vegetables , then they are good for the health.

Inverse Statement is - If there are no Vegetables, then they are not good for health.

Converse statement - If they are good for health , then they are vegetables.

Contra-positive statement - If they are not good for health , then they are not vegetables.

2.

Statement is - 3x + 8 = 14, x = 2

Let P - 3x + 8 = 14 , Q - x = 2

Conditional statement is -If 3x + 8 = 14 , then x = 2.

Inverse Statement is - If 3x + 8 ≠ 14 , then x ≠ 2.

Converse statement - If x = 2 , then 3x + 8 = 14

Contra-positive statement - If x ≠ 2 , then 3x + 8 ≠ 14

3.

Statement is - A right triangle has a 90° angle.

Let P - Triangle has a 90° angle , Q - It is right triangle .

Conditional statement is -If Triangle has a 90° angle , then It is right triangle.

Inverse Statement is - If Triangle has not a 90° angle , then It is not right triangle.

Converse statement - If It is right triangle , then Triangle has a 90° angle.

Contra-positive statement - If It is not a right triangle  , then Triangle has not a 90° angle.

4.

Statement is - An eagle is a bird .

Let P - It is an eagle  , Q - It is a bird

Conditional Statement - If it is an eagle , then it is a bird.

Inverse statement - If it is not eagle , then it is not bird.

Converse statement - If it is a bird , then it is an eagle.

Contra-positive statement - If it is not a bird , then it is not an eagle.

5.

Statement is - A whale is a mammal

Let  P - It is a whale , Q - It is a mammal

Conditional Statement - If it is a whale , then it is a mammal.

Inverse statement - If it is not whale , then it is not mammal.

Converse statement - If it is a mammal , then it is a whale.

Contra-positive statement - If it is not a mammal , then it is not a whale.

6.

Statement is - Two circle with equal diameters are congruent

Let  P - Two circles have equal diameters , Q - They are congruent

Conditional Statement - If Two circles have equal diameters , then they are congruent.

Inverse statement - If two circles have not equal diameters , then they are not congruent.

Converse statement - If two circles are congruent , then they have equal diameters.

Contra-positive statement - If two circles are not congruent , then they have not equal diameters.

7.

Statement is - An angle that measures between 90 and 180 degrees is obtuse  angle

Let  P - An angle that measures between 90 and 180 degrees , Q - They are obtuse angle.

Conditional Statement - If An angle that measures between 90 and 180 degrees , then they are obtuse angle.

Inverse statement - If An angle that does not measures between 90 and 180 degrees , then they are not obtuse angle.

Converse statement - If an angle is obtuse angle , then that angle measures between 90 and 180 degrees.

Contra-positive statement - If an angle is not an obtuse angle , then that angle does not measures between 90 and 180 degrees.

8.

Statement is - Two planes with no common point are parallel.

Let P - Two planes have no common point , Q - they are parallel.

Conditional Statement - If Two planes have no common point , then they are parallel.

Inverse statement - If two planes have common point , then they are not parallel.

Converse statement - If two planes are parallel, then they have no common point.

Contra-positive statement - If two planes are not parallel, then they have common point.

9.

Statement is - Carrot is rich in Vitamin A.

Let P -  There are carrots , Q - they are rich in Vitamin A

Conditional statement is -If There are carrots , then they are rich in Vitamin A.

Inverse Statement is - If there are no carrots , then they are not rich in Vitamin A.

Converse statement - If they are rich in Vitamin A , then they are carrots

Contra-positive statement - If they are not rich in Vitamin A , then they are not carrots.

10.

Statement is - All reptiles have scales.

Let  P - All are reptiles , Q - they all have scales.

Conditional statement - If all are reptiles , then they all have scales.

Inverse statement - If all are not reptiles , they have no scales.

Converse statement - If all have scales , then all are reptiles.

Contra-positive statement - If all have no scales , then they all are not reptiles.

B)

1. Both the conditional and converse  statements are true.

Bi-conditional statement - There are vegetables if and only if they are good in health.

3. Both the conditional and converse  statements are true.

Bi-conditional statement - A triangle has a 90° angle if and only if it is a right triangle.

6. Both the conditional and converse  statements are true.

Bi-conditional statement - Two circle are equal diameter if and only if they are congruent.

7. Both the conditional and converse  statements are true.

Bi-conditional statement - An angle that measures between 90 and 180 degrees if and only if it is an  obtuse  angle.

8. Both the conditional and converse  statements are true.

Bi-conditional statement - Two planes has no common point if and only if they are parallel.

allel...
10. If the midpoints of the sides of AEFG shown below were connected with line segments, what would be the
perimeter of the resulting triangle? Explain how you arrived at your answer.
allel...
E
arall...
of a T...
170 mm
83 mm
110 mm

Answers

Answer:

Perimeter of triangle PQR = 181.5 mm

Step-by-step explanation:

Midsegment theorem states that,

"Midsegment connecting the midpoints of the two sides of a triangle is parallel and half of the length of the third side"

From the figure attached,

PQ = [tex]\frac{1}{2}(EF)[/tex]

     = [tex]\frac{83}{2}[/tex]

     = 41.5 mm

PR = [tex]\frac{1}{2}(GF)[/tex]

     = [tex]\frac{110}{2}[/tex]

     = 55 mm

QR = [tex]\frac{1}{2}(GE)[/tex]

      = [tex]\frac{170}{2}[/tex]

      = 85 mm

Perimeter of triangle PQR = PQ + QR + PR

                                           = 41.5 + 55 + 85

                                           = 181.5 mm  

Circle O is shown. Secant A C intersects tangent C D at point C outside of the circle. Secant A C intersects circle O at point B and tangent C D intersects circle O at point D. Point E is on arc A D. Angle A C D is 57 degrees.
Aaron is standing at point C, watching his friends on a Ferris wheel. He knows that he is looking up at a 57° angle and the measure of arc BD is 80°. What is the measure of arc AED?

°

Answers

That would be 194 my friend!

Answer:

194

Step-by-step explanation:

The perimeter of the triangle is 9.2 cm. Write an equation and find the missing side.

Answers

Answer:

9.2-(1.8+3.6)=s

s=3.8

Step-by-step explanation:

9.2-5.4=s

3.8=s

s=3.8

Hope this helps! :)

3. Given the statement "x - 4 is a factor of f(x)= 5x* – 22x - 2x2 – 25x +4". explain how to verify the
statement is accurate.

Answers

Step-by-step explanation:

x - 4 = 0

=> x = 4

f(x)= 5x – 22x - 2x² – 25x +4

By remainder theorem,

f(4)= 5(4) – 22(4) - 2(4)² – 25(4) + 4

    = 20 - 88 - 32 - 100 + 4 ≠ 0

Since the remainder is not 0, x - 4 is not a factor.

Hope it helps :)

Please mark my answer as the brainliest

Solve for x. Leave in
simplest radical form.
(special right triangle)

Answers

Answer:

4

Step-by-step explanation:

the answer is 4

x=2 and the hypotonouse is equal to 2x

The straight line, Line L has an equation of 4x+y=7. Find the equation of the straight line perpendicular to Line L that passes through (-8,3)

Answers

Answer:

Step-by-step explanation:

y = -4x + 7

perp. 1/4

y - 3 = 1/4(x + 8)

y - 3 = 1/4x + 2

y = 1/4x + 5

The equation of the perpendicular line is y = 1/4x + 5

How to determine the line equation?

The equation is given as:

4x + y = 7

Make y the subject

y = -4x + 7

A linear equation is represented as:

y = mx + c

Where m represents the slope.

This means that:

m = -4

A line perpendicular to 4x + y = 7 will have a slope of:

Slope = -1/m

This gives

Slope = 1/4

The equation of the line is then calculated as:

y = Slope(x - x1) + y1

This gives

y = 1/4(x + 8) + 3

Expand

y = 1/4x + 2 + 3

Evaluate

y = 1/4x + 5

Hence, the equation of the perpendicular line is y = 1/4x + 5

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Write a paragrahs about right of citizen.​

Answers

Answer:

yo look up essay typer.....it helps

What is the variable number in the equation 6=4+2s

Answers

Answer:

I believe it is 2s

Step-by-step explanation:

a variable is a symbol which functions as a placeholder, so in this case, the placeholder is "s"

omggggggggg please please help meeeeeeeeee

Answers

Answer:

9

Step-by-step explanation:

9-7= 2

2<3

Answer: B

x < 10

Step-by-step explanation:

X - 7 < 3

X < 3 + 7

X < 10

if a cost for a dinner is 459 and the family wants to leave a 20% tip, with the sales tax of 7% also, what is the total cost?

Answers

Answer:

$589.33

Step-by-step explanation:

Two sides of a rectangle are both 4 inches. If the
perimeter is 30 inches, write and solve a two-step
equation to find the missing lengths. Help

Answers

Answer: 2(4)+2b=30  /missing lenght=11

Step-by-step explanation: We know the equation of a rectangle is 2a+2b=perimeter    "a" and "b" both represent a side length

2(4)+2b=30         <--- Plug in the know side lenght

8+2b=30            

8(-8)+2b=30(-8)  <--- Subtract "8" from both sides to further solve

2b=22

2b/2=22/2          <--- Divide each side by "2"

b=11

HELP ME ANSWER THIS PLEASEE!

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

wala po akong alamwrbdjdbee

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