14 A curve has equation y=x2 - 6x² + 16. Find the coordinates of the two turning points.

Answers

Answer 1

Step-by-step explanation:

there is something wrong with your problem description.

you really mean x² - 6x² + 16 ?

or is it 2x - 6x² + 16 ?

in any case this would be a squared equation, which does not have 2 turning points.

we would need an equation with x³.

for that we would create the 1st deviation, which would be then a squared equation with 2 solutions, which would be the 2 turning points of the initial equation.


Related Questions

sunayana borrowed a sum of rs 12,500 at 12% per annum simple interest for 1 year and 6 months and lent to bishwant at the same rate of compound interest compounded half yearly for the same interval of time. how much profit did she make?​

Answers

Answer:  Rs 137.70

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

Explanation:

6 months = 1/2 year = 0.5 year

1 year, 6 months = 1 yr + 0.5 yr = 1.5 years

Sunayana borrows Rs 12,500 at 12% annual interest for 1.5 years

The amount simple interest she must pay back is

i = p*r*t

i = 12500*0.12*1.5

i = 2,250

The amount of simple interest she must pay back is Rs 2,250 which is on top of the principal Rs 12,500

The total amount she must pay back is p+i = 12,500+2,250 = 14,750

Let x = 14,750 so we can use it later.

--------------

She lends that Rs 12,500 to her friend and this amount is compounded half yearly, aka semiannually. So we'll use n = 2.

The amount Bishwant must pay back to her is

A = p*(1+r/n)^(n*t)

A = 12500*(1+0.12/2)^(2*1.5)

A = 14,887.70

Let y = 14,887.70 so we can use it later.

--------------

Subtract the values of y and x to get the profit she makes

profit = revenue - costs

profit = y - x

profit = 14,887.70 - 14,750

profit = 137.70

The profit is Rs 137.70

HELLLP ASAP FIRST PERSON WITH CORRECT ANSWER WILL RECEIVE BRAINLIEST


Lines l and m are perpendicular. A point Q has this
property: rotating Q 180 degrees using center P has the
same effect as reflecting Q over line m.
a. Give two possible locations of Q.
b. Do all points in the plane have this property?

Answers

Answer:

Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M  

Step-by-step explanation:

Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M and this is because Lines L and M are perpendicular lines ( i.e. lines that meet a right angle ( 90° ).

rationalise the denominator of 2sq3+3sq2/4sq3+sq2​

Answers

Answer:

[tex]\frac{9+5\sqrt6}{23}[/tex]

Step-by-step explanation:

We can rewrite the fraction as

[tex]\frac{2\sqrt{3}+3\sqrt{2}}{4\sqrt{3}+\sqrt{2}}[/tex]

In order to rationalize the denominator of such a complex fraction, we must multiply the fraction by the conjugate of the denominator. In this case, the conjugate of the denominator would be [tex]4\sqrt{3}-\sqrt{2}[/tex]. Multiplying both sides of the fraction by the conjugate of the denominator would result in the fraction:

[tex]\frac{9+5\sqrt6}{23}[/tex]

Convert the 7pi/5 to a degree measure

A=252
B=504
C=792
D=75

Answers

Answer:

252

Step-by-step explanation:

The conversion factor is

180/pi

7pi/5 * 180/pi = 7 *180/5 = 252 degrees

Solve for x.
3x + 2
2x + 6
x = [?]

Answers

Answer:

4

Step-by-step explanation:

Im assuming you mean the first and second equation equal each other:

3x+2=2x+6

x=4

Find the volume of this square
based pyramid.
10 cm
8 cm
8 cm
V = [?] cm3

Answers

Answer:

213.3

Step-by-step explanation:

The volume of a pyramid is 1/3 base times height.

Using this formula, our square base is 8*8, or 64 square units.

Multiplying that by the height, 10. We get 64*10, 640.

Finally dividing by 3, we have 213.3333333333...

Rounding that to the nearest tenth, 213.3.

The volume of the given square pyramid is 480 cubic centimeter.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Slant height of pyramid is 10 cm and base is 8 cm.

The volume of square based pyramid =a²h/3.

Now, volume = (8²×10)/3

= 213.33 cubic centimeter

Therefore, the volume of a square pyramid is 213.33 cubic centimeter.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ7

Ken needs a surgery on his foot. The estimated cost of the surgery is $5,000. The insurance policy provided by Ken's company has $500 deductible and 20% co-pay. How much will Ken have to pay for foot surgery?

Answers

9514 1404 393

Answer:

  $1400

Step-by-step explanation:

Ken will be required to pay the deductible and 20% of the remaining amount.

  Ken pays $500 + 0.20(5000 -500) = $500 +900

  Ken pays $1400

if (x) and 1(x) are inverse functions of each other and S(x) = 2x+5, what is (8)?
이스 NW
8
023

Answers

Answer:

B

Step-by-step explanation:

f(x) = 2x+5

f^(-1) (x) = (x-5)/2

f^(-1) (8) = 3/2

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x) = 4/x
g(x) = 4/x

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]f(x)=\dfrac{4}{x} \\\\g(x)=\dfrac{4}{x} \\\\\\(gof)(x)=f(g(x))=f(\dfrac{4}{x} )=\dfrac{4}{\dfrac{4}{x} } =\dfrac{4*x}{4} =x\\\\\\(fog)(x)=g(f(x))=g(\dfrac{4}{x} )=\dfrac{4}{\dfrac{4}{x} } =\dfrac{4*x}{4} =x\\[/tex]

PLEASE HELP ME!!! It’s due before 7pm

Answers

Step-by-step explanation:

Solution:Total length of the board=95 cm

:One piece must longer 13 cm than other piece

Equation:95cm=X+X+13cm

:95cm-13cm=2x

:82cm=2x

:X=41 cm-Length of the smaller piece

:X=41cm +13cm=54cm-Length of the larger piece

Therefore the length of the smaller piece is 41cm and the length of the larger piece is 54cm.

Can someone help me on any of the problems that are circled

Answers

15. Is $52.50 I think

Three dressers are placed side by side. One dresser is 5 feet 5 inches wide, another is 5 feet 10 inches wide, and the third is 3 feet 11 inches wide. How wide are they combined?

Answers

Answer:

15 feets 2 inches

Step-by-step explanation:

Given the widths :

1st dresser = 5 feets 5 inches

2nd dresser = 5 feets 10 inches

3rd dresser = 3 feets 11 inches

Their combined width is :

5ft + 5ft + 3 ft + 5in + 10in + 11in

13 feets 26 inches

Recall :

1 foot = 12 inches

26 inches = 26/12 feets = 2 feets 2 inches

Hence,

13 feets + 2feets 2 inches

Combined width = 15 feets 2 inches

Could someone please help me out?

Answers

Answer:

4.5

Step-by-step explanation:

let,

k×9²=300

k = 300/81

or, k = 100/27

as two triangles are similar,

if smaller triangle's corresponding side is x (let), then,

kx²=75

100x²/27=75

x²=75×27/100

x=√81/4

x=9/2

x=4.5

Can someone please help me on these 4 questions PLEASE HELP ME!!

Answers

Answer:4 ans x is -32/10

7 ans b  is 6

10 ans x is 25/7

13 ans x is 9/2

Step-by-step explanation:

8= 10x+4010x= 8-4010x= -32x= -32÷10x= -3.2

2b+3b-10= 205b= 20+105b= 30b= 30÷5b= 6

4(3x-1)= 24+5x12x-4= 24+5x12x-5x= 24+46x= 28x= 28÷6x= 4.66

2x+17-9+x= 5x-12x+x-5x= -1-17+93x-5x= -18+92x= -9x= -9÷2x= -4.5

please mark this answer as brainlist

Construct a function with a rate of change of 1/3 and an initial value of -3.
(put your equation in slope-intercept form y = mx +b)

Answers

So you pretty much have all you need. 1/3 represents slope, and slope is m. Initial value would be your y intercept which is b.

y=1/3x-3

Answer:

y = x/3 - 3

Step-by-step explanation:

x/3 is the equivalent of 1/3(x)

please help!! geometry also might ask another question in the comments so be able to answer and I’ll mark you brainliest later :)

Answers

Coordinate of D: (2, -2)

Multiply x and y by 0.5

Answer: D = (1, -1)

If lines AB and CD are paralell, which of the following statements is true? Check All That Apply​

Answers

Answer:

D and E is the answer..

Step-by-step explanation:

nothing to explain .. D has the symbol of parallel.. and all parallel lines are coplaner

The correct answers are option D and option E that is AB || CD and the lines AB and CD are coplanar.

What are parallel lines?

The lines which do not intersect each other at any point they can only intersect at infinity are called parallel lines. All the parallel lines are coplanar to each other.

From the above explanation, the parallel lines are represented as AB || CD and also coplanar to each other.

Therefore the correct answers are option D and option E that is AB || CD and the lines AB and CD are coplanar.

To know more about parallel lines follow

https://brainly.com/question/16742265

#SPJ2

Consider the functions F and G in the tables below
PLEASE HELP PLEASE

Answers

Answer:

Option A, As x increases, the rate of change exceeds the rate of f

Find the image of the given point
under the given translation.
P(-7,1) T(x,y) = (x + 9, y-3)
P' = ([?], []).

Answers

Answer:

P' = (2, -2)

Step-by-step explanation:

You have the x-value and the y-value of the pre-image, so all you have to do is plug that into the translation statement (x + 9 , y - 3).

Since x = -7 and y = 1 that would be (-7 + 9, 1 - 3), or (2, -2).

write in simplest form :
36 minutes to 3/2hrs​

Answers

Answer:

⅗hrs

Step-by-step explanation:

1hr =60 min

? = 36 min

cross-multiply .........

36 min × 1hr/60 min= 36min/60min × 1hr

=36/60 × 1 hr

= ⅗hrs

The number of bags of Brand Y dog food sold on these five days was 175. Which bar represents the data for Day 5 for Brand Y?

Answers

Answer:

30

Step-by-step explanation:

Question 4 of 10
What are the end behaviors of f(x) = -2(x -17)4?
A. The left end goes down; the right end goes up.
B. The left end goes up; the right end goes down,
C. Both ends go down
D. Both ends go up.
SUBMI

Answers

Answer:

Both ends go down

Step-by-step explanation:

The end behavior of the function are Both ends go down. Therefore, Option C is true.

Given that,

The function is,

[tex]f (x) = - 2 (x - 17)^4[/tex]

Now the given function is defined at x → ∞,

f (x) = - 2 × ∞

f (x) → - ∞

As x goes to -∞

f(-∞) = -2(-∞)⁴

= -2 (∞)

= -∞

So, Both ends go to  -∞, or go down

Hence, The end behavior of the function are Both ends go down.

Therefore, Option C is true.

To learn more about the function visit:

https://brainly.com/question/11624077

#SPJ4

16 - 2r = 3r + 6r + 1

what is r?

Answers

[tex]\\ \sf\longmapsto 16-2r=3r+6r+1[/tex]

[tex]\\ \sf\longmapsto 16-2r=9r+1[/tex]

[tex]\\ \sf\longmapsto 16-1=9r+2r[/tex]

[tex]\\ \sf\longmapsto 11r=15[/tex]

[tex]\\ \sf\longmapsto r=\dfrac{15}{11}[/tex]

Answer: r = 15/11

Step-by-step explanation:

Given

16 - 2r = 3r + 6r + 1

Combine like terms

16 - 2r = 9r + 1

Add 2r on both sides

16 - 2r + 2r = 9r + 1 + 2r

16 = 11r + 1

Subtract 1 on both sides

16 - 1 = 11r + 1 - 1

15 = 11r

Divide 11 on both sides

15 / 11 = 11r / 11

[tex]\boxed{r=\frac{15}{11} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

5w = 23 - 3f and 4f = 12 - 2w

Answers

Answer:

f = 1, w = 4

Step-by-step explanation:

Given the 2 equations

5w = 23 - 3f → (1)

4f = 12 - 2w (add 2w to both sides )

2w + 4f = 12 ( subtract 4f from both sides )

2w = 12 - 4f → (2)

Multiplying (1) by 4 and (2) by - 3 and adding the result will eliminate f

20w = 92 - 12f → (3)

- 6w = - 36 + 12f → (4)

Add (3) and (4) term by term to eliminate f

14w = 56 ( divide both sides by 14 )

w = 4

Substitute w = 4 into either of the 2 equations and solve for f

Substituting into (1)

5(4) = 23 - 3f

20 = 23 - 3f ( subtract 23 from both sides )

- 3 = 3f ( divide both sides by - 3 )

1 = f

Answer:

Step-by-step explanation:

A regular polygon has exterior angles of 60°
What is the sum of the polygon’s interior angles?

Answers

Answer:

720°

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Divide by 60 to find number of sides (n)

n = 360° ÷ 60° = 6

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

The sum of the exterior angles of a regular polygon is 360º

Each exterior angle of a regular polygon is 60º/n

360º/n=60º

360/60=n

6=n

A polygon with 6 sides is a hexagon.

Use the formula (n-2)×180

(6-2)*180=4*180=720º

another solution...

you have 6 interior angles (hexagon)

if an exterior angle is 60º, the corresponding interior angle is 180-60=120º

you have 6 of these 120º angles

6*120=720º

Match the part of the circle to its correct name.

Answers

Answer:

a. major arc

b. minor arc

c. semi circle

d. central angle

The cost of tickets of a comedy show of 'Gaijatra' is Rs 700 for an adult and Rs 500 for a child. If a family paid Rs 3,100 for 5 tickets, how many tickets were purchased in each category? ​

Answers

Answer:

Step-by-step explanation:

We need to create a system of equations here, one for the NUMBER of tickets sold and one for the COST of the tickets. They are very much NOT the same thing.

We have that the total number of tickets is 5, and that that total is made up of adult tickets and child tickets. The equation for the NUMBER of tickets, then, is:

a + c = 5

Now for the money.

If a child ticket costs Rc 500, the expression that represents that that is in fact the cost of the child ticket is 500c;

likewise for the adult ticket. If the adult ticket costs Rc 700, the expression that represents that is 700a.

And we know that a total of Rs 1300 was spent on the tickets. The equation for the COST is

700a + 500c = 1300

Now go back to the first equation and solve it for either a or c, it doesn't matter which. I solved for a:

a = 5 - c  and we will sub that into the second equation for a:

700(5 - c) + 500c = 1300 and

3500 - 700c + 500c = 1300 and

-200c = -400 so

c = 2 tickets. That means that there were

a = 3 tickets sold for the adults.

ac circular runway has a radius of 100 m.Find the distance covered by a person in one complete rotation .​

Answers

Answer:

628m

Step-by-step explanation:

Given radius=100m

distance=circumference

=2pie r

=2×22/7×100

=628m

please mark me brainliest

The picture attached

Answers

Answer:

Step-by-step explanation:

m1 = 300

m2= 300(1+.05) = 300(1.05)

m3 = 300(1.05)(1.05)

m4= 300(1.05)(1.05)(1.05)

each subsequent month is the previous month times "1 + .05"

the "one" preserving the running total, and the extra ".05" adding the 5%

the repeating (1.05)(1.05)(1.05) is notational simplified using exponents

(1.05)(1.05)(1.05) = [tex](1.05)^{3}[/tex]

This year, a small business had a total revenue of $42,900 . If this is 35% less than their total revenue the previous year, what was their total revenue the previous year?

Answers

if this value 35% less than the total, we conclude that:

42,900 = 65%

1% = 660

100% = 66,000

if you want to check the value, just do 65% of 66000, which equals to 42,900

hope it helps :)

Other Questions
p->q is false and p is true.q isa.trueb.false The vast majority of adults in the United States who are receiving care receive it: from professionals in a nursing facility. from professionals at an adult day center. at home from family caregivers. at home from professional caregivers. pls answer quickly before 3:30 Name the property of salt investigated in the above experiment Analyzing the role of elements in audio editing and Video + analyzing the role of the visual element in Video + analyzing the role of text factor + analyzing the role of the audio factor + analyzing the role of the transfer scene + analysing the role of the audio visual effects If 15=$20 and $5=390 find the number of pounds that can be exchanged200 How did the economy of China change during the Zhou Empire? Chinas economy stalled as battles among warlords disrupted planting and destroyed crops. Chinas economy contracted as normans from the north raided villages and threatened cities. Chinas economy was threatened by Huang River floods, resulting in widespread famine. Chinas economy expanded as farmers using iron tools were able to grow more food. 20. A semiconductor is aA) crystalline solid that conducts current under any conditionB) metallic solid that conducts current under any conditionC) metallic solid that conducts current under certain conditionsD) crystalline solid that conducts current under certain conditions The idea that America was a specialnation, different from any other On a baseball field, the pitcher's mound is 60.5 feet from home plate. During practice, a batter hits a ball 226 feet at an angleof 39 to the right of the pitcher's mound. An outfielder catches the ball and throws it to the pitcher. Approximately how far doesthe outfielder throw the ball? Human being get energy from Given:f(x) = -4x + 2g(x) = 2x^2 + 4x - 5Find:(f + g)(x) Juan has collected a cricket. Which question can a dichotomous key help himanswer?A. Are crickets attracted to porch lights?B. Which species of cricket is this?O C. Which species of cricket is the most popular?O D. How many times do crickets chirp per minute? Monetary stimulus is only helpful to an economy: __________ a. experiencing significant negative externalities. b. that's in recession. c. with few public goods. Hyperscience is...1. Genetically modifying plants.2. quickly producing new plant varieties.3. growing plants using new technology.4. responding to the horticulture market. In a scatter plot, each ____. Group of answer choices individual is represented by a single point group mean is represented by a single point individual is represented by two data points group mean is represented by two data points 1.An elevator is ascending with constant speed of 10 m/s. A boy in the elevator throws a ball upward at 20 m/ a from a height of 2 m above the elevator floor when the elevator floor when the elevator is 28 m above the ground. a. What's the maximum height?b. How long does it take for the ball to return to the elevator floor? BRAINLIEST graphing question Ruth bought cupcakes for her sister's birthday party. 14 cupcakes had sprinkles on top. The other 21 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles? Nitric acid can be formed in two steps from the atmospheric gases nitrogen and oxygen, plus hydrogen prepared by reforming natural gas. In the first step, nitrogen and hydrogen react to form ammonia: N2 (g) + 3H2 (g) 2NH3 (g) =H92.kJ In the second step, ammonia and oxygen react to form nitric acid and water: NH3 (g) + 2O2 (g) HNO3 (g) + H2O (g) =H330.kJ Required:Calculate the net change in enthalpy for the formation of one mole of nitric acid from nitrogen, hydrogen and oxygen from these reactions.