If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14), what is the coefficient of the squared expression in the parabola's equation?

If The Vertex Of A Parabola Is (-4, 6) And Another Point On The Curve Is (-3, 14), What Is The Coefficient

Answers

Answer 1

Answer:

[tex]y=a(x-h)^{2} +k[/tex]

[tex](x,y)=(-3,14)[/tex]

[tex](h,k)=(-4,6)[/tex]

[tex]14=a(-3-(-4))^{2})+6[/tex]

[tex]14=a(-3+4)^{2} +6[/tex]

[tex]14=a(1)^{2} +6,-6[/tex]

[tex]8=a[/tex]

[tex]ANSWER:8[/tex]

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

HOPE IT HELPS

HAVE A GREAT DAY!!


Related Questions

(3x)2 – 7y2, when x = 3 and y = 2

Answers

[tex]3 \times 3 \times 2 - 7 \times 2 \times 2 \\ 18 - 28 \\ - 10[/tex]

Answer:

115

Step-by-step explanation:

(3x)^2 – 7y^2

Plug in:

(3×3)^2 – 7×2^2

9^2 - 14^2

81 - 196

115

Hope this helped.

how many permutations can be made with the letters in the word Metallica

Answers

Answer:   90720

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

Explanation:

There are 9 letters in "Metallica", so there would be 9! = 9*8*7*6*5*4*3*2*1 = 362880 different permutations; however, this is only the case if we could tell the letters L and A apart.

We have two copies of each of those repeated letters, so we have to divide by 2!*2! = (2*1)*(2*1) = 4 to account for these repeats.

Because we can't tell the repeated letters apart, we really have (9!)/(2!*2!) = (362880)/(4) = 90720 different permutations.

g(x) = x3 + 2x2 - x - 2 to answer all the questions in Part II. 1. Use synthetic division to show that x = -2 is a zero of the polynomial.

Answers

Answer:[tex]x^{2} -1[/tex]

Step-by-step explanation:

Given :[tex]g(x)=x^{3} +2x^{2} -x-2[/tex]

Factor x+2,x=-2

Using synthesis division:

-2 )  1 2   -1  -2

        -2    0   2

      1  0   -1   0

[tex]x^{2} +0x-1[/tex]

Yes,  x = -2 is a zero of the polynomial.

Given that,

The function g(x) = x³ + 2x² - x - 2 is divided by (x + 2)

Now apply the synthetic division to show that x = -2 is a zero of the polynomial.

When we divide by using synthetic division as shown in the attached image.

Remainder = 0

Hence, this shows that x = -2 is a zero of the polynomial.

Therefore, x = -2 is a zero of the polynomial.

To learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ4

A rectangular field is to be fenced off, and then divided in two by a fence running parallel to one of the sides. If 996 meters of fencing can be used, find the dimensions of the field that will maximize the total area, and then find the maximum area. List the smaller dimension first.

Answers

Solution :

Maximize, S = xy

subject to 2x + 2y = 996

So,

2x + 2y = 996

2(x + y) = 996

x + y = 498

y = 498 - x

Therefore,

S = x (498 - x)

S = 498x - [tex]x^2[/tex]

S = [tex]-x^2 + 498x[/tex]

[tex]$S = -(x^2-498x + 249^2) + 300^2$[/tex]

[tex]$S= -(x-249)^2 + 249^2$[/tex]

S = x (498 - x)

S = 498x - [tex]x^2[/tex]

[tex]$\frac{dS}{dx}= 498 - 2x$[/tex]

[tex]$\frac{dS}{dx}= 0$[/tex]

498 - 2x = 0

2x = 498

x = 249

∴ y = 498 - x

  y = 498 - 249

     = 249

Answer:

A = 249 x 249 = 62001 square meter.

Side is L = 249 m

Step-by-step explanation:

Total length of the fence is 996 m.

Let the length is L and the width is W.

Perimeter = 2 (L + W)

996 = 2 (L + W)

498 = L + W

L = 498 - W ...... (1)

Let the area is

A = L W

A = (498 - W) W

A = 498 W - W^2

Differentiate with respect to W.

dA/dW = 498 - 2 W

Put it equal to zero.

498 - 2 W = 0

W = 249 m

Now, L = 498 - 249 = 249 m

Differentiate with respect to W again

[tex]\frac{d^2A}{dW^2} = - 2[/tex]

As it is negative so the area is maximum.  

The maximum area is

A = 249 x 249 = 62001 square meter.

Side is L = 249 m

help me with this math question pls!! Find the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

using the mid segment formula since quadrilateral WZYP is similar to that of MZYT, this is expressed as;

29 = 1/2(23 +11x+2)

Cross multiply

2(29) =  23+11x+2

58 = 25 + 11x

11x = 58 - 25

11x = 33

Divide both sides by 11

11x/11 = 33/11

x = 3

Hence the value of x is 3

[tex](32)^{1/5}[/tex]

Answers

Answer:

2

Step-by-step explanation:

[tex] {32}^{ \frac{1}{5} } [/tex]

[tex] = \sqrt[5]{32} [/tex]

[tex] = \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} [/tex]

= 2 (Ans)

Help anyone can help me do the question,I will mark brainlest.​

Answers

area of shaded region is 537.5cm^2

What is the value of 2.3 + 8 – 1/2?

a ) 10.8
b) 10.03
c) 9.8
d) 9.5

Answers

Answer:

9.8

Step-by-step explanation:

2.3 + 8 – 1/2

Rewriting the fraction as a decimal

2.3 + 8 – .5

9.8

the answer is C. 9.8

What is the difference between 15% of 7 and of 7?

Answers

1.05 is the difference of 15% of 7 and 7!!!

Is the quotient of a rational number and
an irrational number always irrational?
Explain.

HELP ASAP

Answers

Is the quotient of a rational number and an irrational number always irrational?

Answer = No,It can be either rational or irrational.

________________________________

Prroof —

4 ÷ √8 = √2 { Which is an irrational number }

________________________________

Now, Here comes a twist,

We know that — 0 is a rational number.

And, 0 ÷ √56666 = 0 ________________________________

Note—

But, √56666 ÷ 0 = Error ( Lol )

________________________________

Please help URGENT!!... There are 200 students in the 7th grade class at Manchester Middle School. Of these students, 22% play football, and 12% play baseball. Eight students play on both teams. What is the probability that a student plays either football or baseball? A. 30% B. 38% C. 26% D. 34%

Answers

Answer:34

Step-by-step explanation:just add the percents

Answer:

C. 26%

Step-by-step explanation:

We can sort students into three categories: Football Only, Baseball Only, and students who play Both.

Firstly, let's turn the percentages into numbers to make the calculations easier:

To find 22% convert into decimal and multiply:

0.22 x 200 = 44 TOTAL Football players

Similarly, 0.12 x 200 = 24 TOTAL Baseball players.

The question then tells us that 8 students play both.

This means there are 44-8 = 36 students who play ONLY football, and

24-8= 16 students who ONLY play baseball:

Football Only:      Both:     Baseball Only:

        36                  8                   16

44 Total Football and    24 total baseball

The question asks the probability of a student playing EITHER football OR baseball which therefore does not include the students who play both.

Now we can add up all these numbers of students which gives us:

36 + 16 = 52

Now to find the percentage we just divide 52 by 200:

52/200 = 0.26 which is equivalent to 26%.

Therefore the answer is C. 26%

Hope this helped!

A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.

12x + 25y = 300

x = number of used games

y = number of new games

How many games can Jonathan buy if he spends all his money on used games?

Answers

Answer:

25 used games

Step-by-step explanation:

Divide his money by the price for one used game

300/12

25

Answer:

y=0

12x=300

X=300/12

X=25

he can buy 25 used games .

Step-by-step explanation:

50 points and brainly
Trinas you company charges $0.86 per pound to ship toys. Part A: Write an equation to determine the totals cost, c, to ship p pounds of toys. Use your equation to determine the cost of shipping 2 pounds of toys. Path B: if the company reduces the cost to ship toys by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of toys with the reduced cost.

Answers

Answer:

Part A:

c = .86*p

c =1.72 for 2 lbs

Part B:

c =.81p

Step-by-step explanation:

Part A:

Total cost = cost per pound * number of pounds

c = .86*p

Let p = 2

c = .86*2

c =1.72

Part B:

Total cost = cost per pound * number of pounds

c = .(.86-.05)*p

c =.81p

what is the scale factor from figure A to figure B

Answers

Answer:

scale facor is 1/3

Step-by-step explanation:

what number is smallest 2,-3,-10,-5,-2-1

Answers

Answer:

2,-3,-10,-5,-2-1

The smallest number is -10

Answer:

it's -10

Step-by-step explanation:

Well, if you look at the number line, numbers start from the left going to the right and the ones before the 0 ( the negative ones) are the smaller ones. And here if you arrange them from the smallest, -10 is the smallest and 2 is the biggest.

hope this helps

A circle is represented by the equation below:

(x − 9)2 + (y + 8)2 = 16

Which statement is true?

a) The circle is centered at (−9, 8) and has a radius of 8.
b) The circle is centered at (9, −8) and has a diameter of 8.
c) The circle is centered at (9, −8) and has a radius of 8.
d) The circle is centered at (−9, 8) and has a diameter of 8.

Answers

Answer:

The center is (9,-8) and the diameter is 8

Step-by-step explanation:

(x − 9)^2 + (y + 8)^2 = 16

A circle is in the form

(x − h)^2 + (y -k)^2 = r^2  where (h,k) is the center and r is the radius

(x − 9)^2 + (y -  -8)^2 = 4^2  

The center is (9,-8) and the radius is 4

The diameter is 2 times the radius so the diameter is 8

The center is (9,-8) and the diameter is 8

is 1/5 a rational or irrational number (20 points pls help)

Answers

Answer:

rational

Step-by-step explanation:

Answer:

it's Rational Number

Step-by-step explanation:

since each integer can't be written in the fraction form or for this example it would be thus 5 so it would be a rational number

2. find out the h.c.f

Answers

2a , 1st exp= a2 + ab

= a(a+b)

2nd exp = a2-b2

= (a+b) (a-b)

HCF = (a+b)

b, 1 st exp= (a+b)2

= (a+b)(a+)

2 nd exp = a2-b2

= (a+b) ( a-b)

HCF = (a+b)

c, 1 st exp= (a-1)2

= (a+1) (a-1)

2nd exp= a2-1

= (a+1)(a-1)

HCF = (a-1)

d, 1st exp= (x-2)(x-3)

= x(x-3)-2(x-3)

= x2 - 3x - 2x + 6

= x2- 5x+ 6

= x2 - (3+2)x + 6

=x2 -3x-2x+ 6

= x(x-3) -2(x-3)

=(x-3)(x-2)

2 nd exp = (x+2) (x-3)

= x( x-3) + 2 (x-3)

= x2 - 3 x+ 2x -6

= x(x-3) + 2(x-3)

=(x-3) ( x+ 2)

HCF = (x-3)

If a school camp has enough food for 150 students over 5 days
How long would the food last for is only 100 students are there

Answers

Answer:

It is over 7 days

hope it helps

In this 3x3 square, you can use only numbers from 1-9, to make all the rows and columns equal to 15. Good luck to the person solving this and just know that I and lots more people thank you for solving this!

Answers

Answer:

Hello,

Step-by-step explanation:

The well-known magic square. (first apparition in China).

Here it the methode du Marquis de Liouville: (odd square:3,5,7,9,11,13,...)

We are going to put successively the number from 1 to n² (here n=3)

We imagine that the square is put on a sphere;

We begin in the middle of the last line where we put 1

ICI:

We move in direction SE of one case and put le next number

until we reach of multiple of n

After have reached a multiple of n, we move verticaly of one case

and we go to ICI until we reach n²

help find the height

Answers

Answer:

A

Step-by-step explanation:

Heron's formula finds the area of any triangle.

Area = sqrt(s*(s - a)*(s-b)*(s-c) )

s = (a + b + c)/2

a = 8

b = 16

c = 12

s = 36/2 = 18

s-a = 18 - 8 = 10

s-b = 18 - 16 = 2

s-c = 18 - 12 = 6

Area = sqrt(18*10*2*6) = sqrt(2160)

Area = 12*sqrt(15)

Area = 46.4758

Now x is easily found. It is the altitude to 16

Area = 1/2 16 * h

46.4758 * 2 / 16 = h

h = 3*sqrt(15)/2

h= 5.81

Sweatshirts at the school store cost $30. They currently sell about 4 shirts per month. They have decided to decrease the price of the shirts. They found the for each each $1.50 decrease, they will sell 2 more shirts per month. How many decreases in prices will give the max value?

A. 30

B. 9

C. 363

D. 16.50

Answers

a club usually sells 1200 shirts a year at $20 each. A survey indicates that
for every $2 increase in price, there will be a drop of 60 sales a year.
What price they should charge for each shirt to maximize the revenue?
:
Let x = no. of $2 increases
also
Let x = no. 60 shirt sales reductions
:
Price = (20 + 2x)
No. of shirts = (1200 - 60x)
:
Revenue = price * no. of shirts sold, therefore:
R = (20 + 2x)*(1200 - 60x)
FOIL
R = 24000 - 1200x + 2400x - 120x^2
Arranges as a quadratic equation
R = -120x^2 + 1200x + 24000
Find the axis of symmetry to find the price for max revenue: x = -b/(2a)
In this equation; a=-120; b=1200
x = %28-1200%29%2F%282%2A-120%29
x = %28-1200%29%2F%28-240%29
x = +5 ea $2 increases
and
5*60 = 300 reduction in shirt sales:
:
Price for max sales; 20 +2(5) = $30, will sell 1200 - 300 = 900 shirts
:
Max revenue: 30 * 900 = $27,000

To solve the equation -4m = 8, you would _______ -4 on both sides of the equation.
a - multiply by
b - divide by
c - add
d - subtract

Answers

Answer:

divide by

Step-by-step explanation:

-4m = 8

Divide each side by -4

-4m/-4 = 8/-4

m = -2

This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.

n = d + 74

The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?

Answers

Answer:

16+74

Step-by-step explanation:

substitute 16 into the equation

Answer: n=90

d=16 so n= 16+74

please mark brainliest

find the area of triangle
i. b=6cm ,h=4cm
ii. b=5cm ,h=7cm
iii. b=8.4 cm ,h=5cm
answer
[tex]i.12cm {}^{2} [/tex]

[tex]ii.17.5cm {}^{2} [/tex]
[tex]iii.21cm {}^{2} [/tex]




Answers

Answer:

Step-by-step explanation:

What are we supposed to do? You already have the answers and they’re all correct if that’s what you wanted to know

2(-n - 3) - 7(5+ 2n)

Answers

Answer:

-16n-41

Step-by-step explanation:

2(-n-3)-7(5+2n)

Distribute

-2n-6-35-14n

Combine like terms

-16n-41

Hope this helps!

8. The value of [3 - 4 * (3 - 4) ^ 4] ^ 3 is
a) 1
b) -1
c)0
d) 7
help me please ​

Answers

Answer:

-1

Step-by-step explanation:

[3-4(-1)^4]^3

=>(3-4)^3

=>(-1)^3

=>-1

Answer From Gauth Math

Answer:

-1

Step-by-step explanation:

[tex][3-4*(3-4)^4]^3[/tex]        

[tex](3-4)^4= 1\\Therefore, [3-4*1]^3= -1^3\\So, -1^3= -1\\\\[/tex]

Cube of any negative integer will be negative, or, a negative integer raised to any odd number will be negative. Likewise, a negative integer raised to an even number will be positive.

how many line of symmetry is this figure​

Answers

Answer:

There are sixteen lines.

A cylinder has a volume of 132x cubic feet and height of 4 feet. What is the area of the base?
* Square feet

Answers

Answer:

33π square feet

Step-by-step explanation:

Volume = base area × height

132π = base area × 4

or, base area = 132π/4

or, base area = 33π

Answered by GAUTHMATH

The U.S. swim team won 13 gold medals in a recent competition against two other countries.Of the total 60 medals awarded, there were 20 each of bronze, silver, and gold. Spain won 5gold medals. France won one-third of all the medals and had an equal number of silver andbronze medals. How many silver and bronze medals did France win?

Answers

The number of silver and bronze medals that France won are 9 silver and bronze medals.

Since there are 60 medals awarded, and there were 20 each of bronze, silver, and gold. This means that there are 20 gold, 20 bronze and 20 silver.

Since U.S. swim team won 13 gold medals and Spain won 5gold medals, then the gold won by France will be:

= 20 - (13 + 5)

= 20 - 18

= 2 gold medals

France won 2 gold medals.

Since France won one-third of all the medals, the number of medals won by France will be:

= 1/3 × 60

= 20 medals

Since France won 2 golds medals, then the number of silver and bronze will be:

= 20 - 2

= 18 silver and bronze medals.

Since France won equal number of silver and bronze medals. This will be:

= 18/2

= 9 silver and bronze medals.

Read related link on:

https://brainly.com/question/19972449

Other Questions
. . Susan know where the meeting .?A. Do/ is B. Does/ is C. Does/ do D. Is/ does Dont caught.. the poor. Find the surface area of the figure round your answer to the nearest tenth if necessary How many minutes will the bus take to complete the trip If a bus completes half a trip at 40 km per hour and the other half at 50 20. if the whole trip was 60 k.m. ? Which statement about water use is INCORRECT?A. The United Nations estimates that 2.8 billion people lack sufficient access to clean water.B. As the population increases, water scarcity and sanitation issues will also increase.C. Because of their unsustainable practices, per capita water use in developing countries is far greater than in developed nations.D. In some areas of the world, there is enough water, but people do not have enough money to purchase or dig wells to access it.E. Middle Eastern nations are among the most water-stressed countries in the world. Urgent research report on a product Criteria ^^ 400-500 words The expen Accounting changes are often made and the monetary impact is reflected in the financial statements of a company even though, in theory, this may be a violation of the accounting concept of se recognition principle states that expenses should be matched with revenues. Another way of stating the principle is to say that: EFGH is an isosceles trapezoid and EFGI is a parallelogram. If mIEF = 36, then mHGI = (Blank 1). blished. What kind of human resources do you want to be in quture? Give reason. WILL GIVE BRAINLIEST!!!!! Using complete sentences in Spanish, describe a past vacation one of your family members took to a Spanish-speaking country. Do not worry! If one of your family members has not traveled to a Spanish-speaking country, you can make the trip up. Use the following steps to complete your description:Use the correct form of the verb leer in the preterite tense to say how he or she discovered the Spanish-speaking country they traveled to.Use hace + specific time frame + que + verb to say how long ago he or she traveled. Remember to include the mode of transportation he or she used.Use one chameleon verb (saber, conocer, poder, querer, or tener) in the preterite tense or imperfect tense to say one activity or place he or she did or visited first.Use one chameleon verb (saber, conocer, poder, querer, or tener), different from the one used previously, in the preterite tense or imperfect tense to say one activity or place he or she did or visited second.Include at least three images in a presentation to support your audio or video.Include at least three vocabulary words. What is socialzatoin ?How socialzation formation? justifiy the statement. write down the relation between the scales of temperature i.e degree Fahrenheit and degree Celsius in form of function and also write it's inverse .............,the officer walked into the room and asked, Whos in charge here? In a mixture 60 liters, the ratio of milk and water 2:1.If this ratio is to be 1:2, then what is the quantity of water to be further added? The internment of Japanese American resulted in Anita has lately been suffering from skin rashes and thinks she might have a vitamin B deficiency. Without consulting a clinician, she consumes high dose vitamin B supplements and large amounts of foods enriched with vitamin B. As a result, her physiological function gets impaired. In this scenario, Anita is most likely suffering from _____. Profession in medical are not practice for money but for public welfare? Do you support this statement? Explain. please help me Which textbook is this page from? Susan said, "if I fertilize my geranium plants, they will blossom"Choose the correct step in the scientific methodA. recognize a problemB. from hypothesisC. test the hypothesis with an experimentD. draw conclusions 1Fishing boats have decreased the number of herring in the sea. Explain why that could affect the number of offspring puffins can raise. 2 Which animals have a bigger food supply now there are fewer herrings? 3 Global warming is expected to reduce the biomass of phytoplankton in the oceans. What effect will that have on the rest of the food web?