Write a rule for a function with a parabolic graph that contains the x-intercepts (-20,0) and (40,0) and a maximum point whose y-coordinate is 30.

Answers

Answer 1

Step-by-step explanation:

Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.

Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.

=> (0) = a[(40) - 10]² + 30

=> 900a + 30 = 0, a = -1/30.

Hence the rule is y = -(x - 10)²/30 + 30.


Related Questions

Helpppppppppppppopppppp

Answers

Answer:

9x+18

Step-by-step explanation:

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

1:5

Step-by-step explanation:

Total flowers: 4+16 = 20

Ratio = gold:total = 4:20

This simplifies to 1:5

Answer:

1:5

Step-by-step explanation:

4 gold flowers out of 20 total gold and purple

makes it 4:20

reduced 4:20 is 1:5

What is an equation of the line that passes through the points (8, 5)
and (-6, 5)?

Answers

Y=5 is the equations

A jar contains 10 blue marbles, 4 red marbles, and 8 white marbles. What are the odds of drawing a blue marble from the bag?

Answers

Answer:

10/22

10 blue marbles/22 total marbles

(simplified = 5/11)

Odd couple. If n is an odd number greater than or equal to 3, can n+1 ever be prime? What if n equals 1?

Answers

No, because when adding 1 to any odd number it will become even, and all even numbers besides 2 are not prime. This means that if n was 1 the resulting number would be prime, since 2 is prime.

A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If it is sunny one day, then it is equally likely to be either cloudy or rainy the next day. If it is rainy or cloudy one day, then there is one chance in two that it will be the same the next day, and if it changes then it is equally likely to be either of the other two possibilities. In the long run, what proportion of days are sunny

Answers

Answer:

the proportion of days that are Sunny is 0.2

Step-by-step explanation:

Given the data in the question;

Using markov chain;

3 states; Sunny(1), Cloudy(2) and Rainy(3)

Now, based on given conditions, the transition matrix can be obtained in the following way;

[tex]\left[\begin{array}{ccc}0&0.5&0.5\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]

so let the proportion of sunny, cloudy and rainy days be S, C and R respectively.

such that, from column 1

S = 0.25C + 0.25R   -------------let this be equation 1

from column 2

0.5C = 0.5S + 0.25R

divided through by 0.5

C = S + 0.5R ---------------------- let this be equation 2

now putting equation 2 into equation;

S = 0.25(S + 0.5R) + 0.25R

S = 0.25S + 0.125R + 0.25R

S - 0.25S = 0.375R

0.75S = 0.375R

S = 0.375R / 0.75

S = 0.5R

Therefore,

from equation 2; C = S + 0.5R

input S = 0.5R

C = 0.5R + 0.5R

C = R

Now, we know that, the sum of the three proportion should be equal to one;

so

S + C + R = 1

since C = R and S = 0.5R

we substitute

0.5R + R + R = 1

2.5R = 1

R = 1/2.5

R = 0.4

Hence, the proportion of days that are Rainy is 0.4

C = R

C = 0.4

Hence, the proportion of days that are Cloudy is 0.4

S = 0.5R

S = 0.5(0.4)

S = 0.2

Hence, the proportion of days that are Sunny is 0.2

Complete the following statement. The conditional probability of B given A can be found by​ _______. a. adding​ P(A) and​ P(B).b. assuming that event B has​ occurred, and then calculating the probability that event A will occur c. multiplying​ P(A) times​ P(B).d. assuming that event A has​ occurred, and then calculating the probability that event B will occur.

Answers

Answer: Assuming that event A has occurred

Step-by-step explanation:

The conditional probability of B given A can be found by​ assuming that event A has occurred, and then calculating the probability that event B will occur.

So, the correct answer is d.

The conditional probability of B given A, denoted as P(B|A), represents the probability of event B occurring given that event A has already occurred.

It is calculated by assuming that event A has occurred and then determining the probability of event B occurring under that assumption.

Mathematically, the conditional probability is calculated as:

P(B|A) = P(A and B) / P(A)

Where P(A and B) represents the probability of both events A and B occurring together, and P(A) represents the probability of event A occurring.

Therefore, option d. assumes that event A has occurred and then calculates the probability that event B will occur, which aligns with the definition of conditional probability.

Learn more about conditional probability click;

https://brainly.com/question/32171649

#SPJ4

what is factorise of 15

Answers

Answer:

The numbers that factorise 15 are: 1, 15, 3, 5

All these numbers divide 15 perfectly

Answer:

Factors of 15:

1, 3, 5, 15

Step-by-step explanation:

15/1 = 15

15/3 = 5

15/5 = 3

15/15 = 1

The factors are numbers 15 is divisible by that will give you a whole number.

Solve each of the systems below by substitution

y = -3/2x (fraction)

3x + 2y = -4

Answers

Answer:

GET PHOTOMATH

Step-by-step explanation:

DOWNLOAD PHOTOMATHhope this helps bro :)

what is j+m, j times m and j divided by m

Answers

Answer:

j + m

jm

[tex]\frac{j}{m}[/tex]

Step-by-step explanation:

We have j and m and are asked to add, multiply and divide them both.

When it comes to adding, its all about like terms, if the terms are not alike meaning ending in the same variable they cannot be added.

Therefore j + m is equal to just j + m.

Now for multiplying, this is free rule, you can freely multiply any variable you want without reprecussion.

Therefore, j * m is equal to jm.

Now for dividing, this works like adding, where you can divide only if the terms are the same, since j and m are not the same. J divided by M is equal to [tex]\frac{j}{m}[/tex]

11) To approach a runway, a pilot must begin a 10° descent

starting from a height of 0.38 miles above the ground. At

the start of his approach, how far, d, is the plane from the

runway to the nearest tenth of a mile?

Answers

Answer:

the plane 2.2 miles away from the runway

Step-by-step explanation:  

Given the data in the question and as illustrated in the image below;

from the image, using trigonometric ratio;

SOH CAH TOA

sin = opposite / hypotenuse

sin10° = 0.38 / x

xsin10° = 0.38

x = 0.38 / sin10°

x = 0.38 / 0.173648

x = 2.1883 miles  ≈ 2.2 miles     { the nearest tenth of a mile }

Therefore, the plane 2.2 miles away from the runway

Pls i need help asap pls il mark brainliest

Answers

Answer:

it is not proportional.

Step-by-step explanation:

14-10.50=3.5

17.50-14=3.5

24.50-17.50=7

in order for it to be proportional, they would all have to equal the same number and since in this case, they don't it is non-proportional

hopefully this helps :)

have a nice day !!

             

Answer:

It is not porportional!

Step-by-step explanation:

a group of six friends went out fir dinner and equally split the dinner bill. if they each paid 24.70 what was the dinner bill?​

Answers

If six friends each payed $24.70 then

6 * 24.70 = 148.20

The dinner bill in total was $148.20.

Si una matriz tiene una fila o columna de ceros su determinante es:
A mismo.
B. B. doble
C. El opuesto​

Answers

Answer:

es la A

Step-by-step explanation:

la columna es de cero ,es lo mismo

320 x (0,015^18) x 100

Answers

Answer:

4,73........

........................

Answer: 4.729

Step-by-step explanation:

320 * 0.015^18 * 100

320 *100 = 32000

32000 * 0.015^18

0.0015^18 = 1.4778

32000 * 1.47789

4.72925

1. Si se tienen los eventos:
A. Que la ruleta se detenga en un número menor que cuatro.
B. Que se detenga en un número múltiplo de cuatro.
a) ¿Cuál es la probabilidad del evento A? =
b) ¿Cuál es la probabilidad del evento B? =
c) ¿Qué significa que ocurra A o B?
d) ¿Cuál es la probabilidad de que ocurra A o B?

Answers

Answer:

c...........................

2 and 1/3 devided by 2/3

Answers

Answer:

3/5 , 7/2 , 3 1/2

Step-by-step explanation:

Step 1 -

Two Plus One - Third

2 + [tex]\frac{1}{3}[/tex]

Make Both Fractions-

[tex]\frac{2}{1}[/tex] + [tex]\frac{1}{3}[/tex]

Make Same Denominator ( Bottom # Of Fraction )-

[tex]\frac{2}{1}[/tex] * [tex]\frac{3}{3}[/tex] = [tex]\frac{6}{3}[/tex]

New Equation-

[tex]\frac{6}{3}[/tex] + [tex]\frac{1}{3}[/tex]= [tex]\frac{7}{3}[/tex]

Step 2-

Seven - Thirds Divided By Two-Thirds.

[tex]\frac{7}{3} / \frac{2}{3}[/tex]

Divide In Parts-

7 / 2 = 3.5

Final Answer of '2 and 1/3 divided by 2/3 is 3.5, 7/2, 3 1/2! Don't Forget To Rate Brainiest!                                        -Aslina

What is answer for (11x-32)=45

Answers

Answer: x=7

Step-by-step explanation:


(11x-32)=45

We move all terms to the left:

(11x-32)-(45)=0

We get rid of parentheses

11x-32-45=0

We add all the numbers together, and all the variables

11x-77=0

We move all terms containing x to the left, all other terms to the right

11x=77

x=77/11

x=7

12578987+16479279=
thanks for the update Brain ly​

Answers

Answer:

12578987+16479279=29058266

Answer= 29058266

I hope this helps.

What are the values of m and n in each right triangle

Answers

m would be 90 degrees and n would most likely be 15 (it will be less than 90 for sure since it's an acute angle but what are your options?)

Which expression represents the phrase ""the product of x and the quantity ‘10 minus x’""?

Answers

I think it is (10-x)=x pls correct me if I’m wrong

A certain radioactive isotope is a byproduct of some nuclear reactors. Due to an explosion, a nuclear reactor experiences a massive leak of this radioactive isotope. Fortunately, the isotope has a very short half life of 9 days. Estimate the percentage of the original amount of the isotope released by the explosion that remains 8 days after the explosion​

Answers

Answer:

jsuw

Step-by-step explanation:

bauxiiqodoysyvw. a dejavu losentino verete la müa

What's 7 625/1000 as a decimal fraction

Answers

7.625

............. .....

8
BONUS QUESTION: A swimming pool is in the shape of a triangular prism. From the top down, the triangle's base has a length of 22 ft and a height of 11 ft.
The pool is 17.5 ft deep. If it takes 4.83 gallons of Jell-o to fill 2 cubic foot of space, how many gallons of Jell-o will it take to completely fill the pool? (Round the
gallons up).

Answers

I'm sorry I don't know

Answer:

Good luck Dude

Step-by-step explanation:

Save me Lol I suck at math :D

Answers

Answer:

5/w-v

Step-by-step explanatio

anyone want me to join there class zoom.meeting and annoy there teacher....post the link in ans or comments​

Answers

Answer:

i dont have a zoom sorry

but heres a fun fact sakura can actually look cool in a photo

Step-by-step explanation:

Answer:

lol okay. here is:

Step-by-step explanation:

https://zoom._ us/j/97135041643

remove the underscore

In Exercise 3.37, we looked at quadratic and cubic polynomial models for the price of diamonds (TotalPrice) based on the size (Carat). Another variable in the Diamonds datafile gives the Depth of the cut for each stone (as a percentage of the diameter). Run each of the models listed below, keeping track of the values for adjusted and which terms (according to the individual t-tests) are important in each model: a. A quadratic model using Depth b. A two-predictor model using Carat and Depth c. A three-predictor model that adds interaction for Carat and Depth d. A complete second-order model using Carat and Depth

Answers

I think is is A it might be wrong

PLEASE HELP


180% is equiliant of which decimal .....​

Answers

Answer:

180% is equivalent to the decimal 1.8

Answer:

answer is 1.8 hope it helps

the sum of a number x and six multiplied by three​
can you help me

Answers

Answer:

3(x+6)

3x+18

Step-by-step explanation:

3(x+6) which is what another person had said

a closed circular water tank in a subdivision is made up of concreate aluminum. its outer diameter is 8.4 m and its height is 12 m. if it is to be painted on the exterior, then how much total surface area is to be painted?

Answers

Answer:

122.7792 sq. m

Step-by-step explanation:

diameter= 8.4 m

therefore, radius = r = 4.2 m.......( as radius is 1/2 of diameter)

height = h= 12 m

only the exterior is to painted so the total surface area of the cylinder is taken,

total surface area of cylinder = 2π r( h+r)

=2* 3.14* 4.2*(12+4.2)

=122.7792 sq. m

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