Felipe, Jill, and Cindy are neighbors. Jill is 7 years older than Cindy and Felipe is two-
thirds the age of Jill. The sum of their three ages is 137.
a. If a represents Jill's age, write an equation in terms of that can be used to
determine each person's age.
b. How old is Felipe?

Answers

Answer 1

On solving the provided question, we can say that  vertex form of the equation is in the form of y = a(x-h)^2 + k.

In mathematics, what is the vertex?

A vertex, or particular point, is a place where two or more lines or edges meet in a mathematical object. Angles, polygons, polyhedral, and graphs are where vertices are most frequently seen. Nodes and vertices in a graph are the same thing.

Recall that a parabola's General Form is y = ax2 + bx + c. The x-coordinate of the vertices, which is x = - b/2a, must first be discovered in order to find the vertex from this form. You will use this number to replace x in the parabola equation once you have determined the x-coordinate of the vertex.

a = -1/4 * (4 - 12) = -1

h = -b/(2a) = 12/(2(-1)) = -6

k = f(h) = -(-6)^2 + 12(-6) - 4 = 36

Therefore, the vertex form of the equation is y = -(x+6)^2 + 36.

To know more about vertex visit:

brainly.com/question/12563262

#SPJ1


Related Questions

Write an expression in terms of x that represents the distance (in feet) between Deandre and Paige.

Answers

Answer:

Escribir cada expresión en términos de seno. 2. Escribir cada expresión en términos de coseno . 3. Expresar la función dada en términos de la función que se indica en cada literal. 4. Utilizar las identidades fundamentales para escribir una expresión equivalente a la expresión dada. Luego, simplificar. 5. Factorizar las siguientes ...

Step-by-step explanation:

What is the slope of the line through (-4, 2) and (3, -3)? Choose 1 answer: (Α) 7 5 B 7 5 С 5 7 D 5 7​

Answers

Answer:

-5/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-2)/(3-(-4))

m=-5/(3+4)

m=-5/7

How do you solve for a variable?

A. Use the alphabet
B. Displacement
C. Get it by itself

Answers

Answer:

C. Get it by itself

Step-by-step explanation:

When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.

how can I learn to understand it more

Answers

Step-by-step explanation:

Well if you dont understand something ask a teacher for help or study on a topic that you struggle with for example math try looking up different math questions and solving them or ask a teacher is you can have pratice questions or problems then show it to him/her so they can check to see if you are right. Hope that help unless you dont understand a certain question that I might have missed.

✨6 Grade Math✨ PLEASE HELP I RLLY DONT GET IT

Answers

Answer:

a. 12s + 19j - 3

36 + 28 - 3 = 61

b.

Shirt (per unit cost):

Before Discount: $12

After Discount: $12 - $3 = $9

Jeans (pair cost):

Before Discount: $19

After Discount: $19 - $3 = $16

(12-3)s + (19-3)j

27 + 32 =  $59

Does the graph represent a function? (will give BRAINLIEST)​

Answers

Answer:

yes, because they are both equal angles.

Step-by-step explanation:

though if it was a curved line it would be a true function

Michael ordered the food and drinks below for himself and three friends. •3 hot dogs for $2.99 each •3 bags of French fries for $1.99 each •2 hamburgers for $3.99 each •4 drinks for $0.79. Michael and his friends will share the total cost of the food and drink equally. What was the cost per person?

Answers

Answer:

$6.52

Step-by-step explanation:

The 4 four friends got three hot dogs for $2.99. Multiply 3 hot dogs by $2.99, which is $8.97 They also got 3 bags of french fries for $1.99. Multiply 3 bags of french fries by $1.99, which is $5.97. Then, they decided to get 2 hamburgers for $3.99 each. Multiply 2 hamburgers by $3.99, which is $7.98 They wanted drinks to cool themselves off, so they got 4 drinks for $0.79. Multiply 4 drinks for $0.79, which is $3.16Take all of the numbers that was calculated and add them up together ($8.97 + $5.97 + $7.98 + $3.16) and you will get $26.08 as the total.They decided to split it equally, so take the $26.08 total and divide it by 4. You will get $6.52 per person.

8- 2r+6r+5=? use r = 8​

Answers

Answer:

45

Step-by-step explanation:

8 - 16 + 48 + 5

-8 + 48 + 5 =

40 + 5 =

45

Hope that helps!

3x+2=14 what number makes the equation true?

Answers

Answer:

Step-by-step explanation:

3x+2=14 subtract 2 from both sides

3x=12 divide both sides by 3

x=4

Journal: Explain how you can check your answers on algebraic equations to know that you are right! Example: 2x = 12*

um if someone could help that would be great this one is not a big deal;-;​

Answers

2x = 12
x= 12/2
x=6
Made

2. En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cuál es el ancho real del castillo?​

Answers

Answer:

Apigy 60918370927710 paojzob pour ta life yzs 029282728

Please help i cant do it

Answers

Answer is: 41.2 SA
Just add : 5.2+6+6+6+6+10+2

While rolling, a wheel with a diameter of 13/2m makes 196 revolutions. Find the distance that is traveled by the wheel. Use for 22/7 for pi​

Answers

Answer:

9.6 m

Step-by-step explanation:

let 'x' be distance traveled

196 = 3.14(6.5)x

196 = 20.41x

x = 196/20.41

x = 9.6

The product of an irrational number and a rational number will be

Answers

Answer:

an irrational number

Step-by-step explanation:

Can someone help me with this problem and help me understand it better

Answers

Answer:

Proved

Step-by-step explanation:

Given

The attached table

Required

Prove that Lydia is incorrect

Firat, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (5,19)[/tex]

[tex](x_2,y_2) = (4,15)[/tex]

So, we have:

[tex]m = \frac{15 - 19}{4 - 5}[/tex]

[tex]m = \frac{-4}{-1}[/tex]

[tex]m=4[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x-x_1)[/tex]

Where:

[tex](x_1,y_1) = (5,19)[/tex] and [tex]m=4[/tex]

This gives:

[tex]y - 19 = 4(x-5)[/tex]

[tex]y - 19 = 4x-20[/tex]

Make y the subject

[tex]y = 4x-20+19[/tex]

[tex]y = 4x-1[/tex]

The above shows the equation. Hence, the Lydia is correct

A sound wave travels at 330m/s and has a wavelength of 2 m. calculate its frequency and period.

Answers

Answer:

frequency= 165Hz

period= [tex]\frac{1}{165}[/tex]

Step-by-step explanation:

1. To calculate the frequency using the formula:

f = v/λ

where,

f=frequency (what the question asked)

v=speed of wave (given in the question=330m/s)

λ=wavelength (given in the question=2m)

SO,

[tex]f=\frac{330}{2}[/tex]

= 165Hz

2. To calculate the period use the formula:

since [tex]f=\frac{1}{T}[/tex]

therefore, [tex]T=\frac{1}{f}[/tex]

where,

f= frequency (what we solved above=165Hz)

T= period (what the question asked)

SO,

[tex]T=\frac{1}{165}[/tex]

Jack and his two friends each ordered a small pizza, Jack ate 7/8 of his pizza, Luis ate 3/4 of his pizza, Tyrone ate 1/2 of his pizza. How much pizza was left. Answer to the simplest form.

Answers

8/8 - 7/8 = 1/8
4/4 - 3/4 = 1/4
2/2 - 1/2 = 1/2

1/4 * 2/2 = 2/8
1/2 * 4/4 = 4/8

1/8 + 2/8 + 4/8 = 7/8 of a pizza was left

Answer:

1/8

Step-by-step explanation:

What we wanna do first is make all denominators the same. Multiply 3/4 by 2/2 and 1/2 by 4/4. This will get you 6/8 and 4/8. Now we have all the fractions:

6/8. 4/8, 7/8

We know Jack ate 7/8 of his pizza, so there's 1/8 pizza left for him.

Luis ate 3/4, which became 6/8, so there's 2/8 of pizza left.

Tyrone ate 1/2 of his pizza, which is 4/8, so there is 4/8 left.

Add: 1/8 + 2/8 + 4/8 = 7/8

This means that there is 1/8 slice left because 7/8 of the whole pizza was eaten.

The checker piece near the middle of the board can move diagonally in any directions between shaded squares. On how many different squares can the piece be located at the end of one turn?
URGENT I REALLY NEED HELP ANYONE? PLEASE

Answers

I might be wrong but i’m gonna say 3 squares. I’m sorry if it’s the wrong answer I just feel really bad because you really need help :(

Figure A is original and Figure B is the copy.

Answers

Answer:

scale factor = 3.5; missing side = 17.5 cm

Step-by-step explanation:

see attached image

1 3/4 + 2 2/5=
Addition of fractions

Answers

The answer is: 4 3/20

Answer:

Improper fraction: 83/20

Decimal: 4.15

Mixed Number: 4 3/20

Step-by-step explanation:

A family wants to rent a car to go on vacation. Company a charges $70.50 and $.50 per mile. Company B charges $35.50 and nine cents per mile. How much moreDoes Company a charge for X miles then company b?

Answers

Answer:

Company A is 1.99 times B.

Step-by-step explanation:

Company A charges:

[tex]A=70.50+0.50=\$71/mile[/tex]  

Company B charges:

[tex]B=35.50+0.09=\$35.59/mile[/tex]

We just need to divide A by B:

[tex]x=A/B=1.99[/tex]

Therefore, company A is 1.99 times B.

I hope it helps you!

     

Karlee has 4 sets of pencils. In each set, 1 pencil is 1/
7 of the pack. All of the packs are full. What is the total number of pencils that Karlee has in her 4 pencil packs?


someone answer plz

Answers

Answer:

karlee has 28 pencils in her 4 pencil packs

Answer:

Its 28

Step-by-step explanation:

because it is

Chloe has 85 floral beads. She uses 4 floral beads to make each bracelet. She makes as many bracelets as possible. How many floral beads will she have left?

Answers

Answer:

1 bead left over

Step-by-step explanation:

Hi!

With this it looks like you need to divide and also have a remainder.

So what I like to do is actually round down your total to an even number.

So in this case 85 would round down to the even number of 84.

Now she uses 4 per bracelet so you want to do :

84 / 4

=

21

Alright so now we have to remember we took one bead off to make the number even.

That would be one bead since 85 - 84 = 1

So she made 21 bracelets and had 1 bead left over.

I hope this helps!

If you have any questions or concerns feel free to comment or message me! :)

According to monetary theory, which of the following is the main driver in changing economic activity?

A. Exchange rate

B. Money supply

C. Taxes

D. Employment rate

Answers

Answer:

B

Step-by-step explanation:

money supply because this has to balanced out in turn will determine any change in the economic activity.

A wheel for Lisa's bike has a diameter of 24 inches. What is the circumference, C, in inches? Use 3.14 for π

Answers

Answer:

75.36 inches

Step-by-step explanation:

C = π·d

C = 3.14(24)

C = 75.36

What 5 divided by 4.25.

Answers

Answer:

Step-by-step explanation:

5 divided by 4.25 =  85 reminder 0

Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data:

2 1 2 4 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0 4 2 1 3 1 1 3 4 1
2 3 2 2 8 4 5 1 3 1 5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 6 1 2 3

Required:
a. Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch.
b. What proportion of batches in the sample have at most six nonconforming transducers?
c. What proportion have fewer than six? (Enter your answer to three decimal places.)
d. What proportion have at least six nonconforming units?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

X ___ Frequency ___ relative Frequency %

0_____7 ________11.67

1_____12________20.00

2____ 13 ________21.67

3____ 14 ________23.33

4 ____6 ________10.00

5____ 3 _________5.00

6 ____3 _________5.00

7_____1 _________1.67

8 ____ 1 _________1.67

B.)

(x = 0) + (x = 1) + (x = 2) + (x = 3) + (x = 4) + (x = 5) + (x = 6)

(11.67 + 20.00 + 21.67 + 23.33 + 10.00 + 5.00 + 5.00) = 96.67% = 0.967 (3 decimal places)

C.)

(x = 0) + (x = 1) + (x = 2) + (x = 3) + (x = 4) + (x = 5)

(11.67 + 20.00 + 21.67 + 23.33 + 10.00 + 5.00) = 91.67% = 0.917 (3 decimal places)

D.)

(x = 6) + (x = 7) + (x = 8)

(5.00 + 1.67 + 1.67)% = 8.34% = 0.0834

Solve: x (x + 3) = 28

Answers

Answer:

x = 25

Step-by-step explanation:

28 - 3 = 25

Answer:

x = 25

Step-by-step explanation:

4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32

Answers

It's (A) 18 because if you add 46 & 26 it's 72 and then for you to get 18 , 72 + 18 = 90

65% of 75 is equal to what number?

Answers

48.75

75/100 x 65 = 48.75

Answer:

48.75

i am sure

hope this helped you

Other Questions
Geometry: write a formal proof, ASAP!!! Consider the following functions. f=[(-1,1),(1,-2),(3,-4) and g=[(5,0),(-3,4),(1,1),(-4,1)} Find (f-g)(1) = The fixed cost of producing surfboards is $5,000 per month. The variable cost for producing 15 surfboards is $36,000 per month. The average cost of producing 15 surfboards in a month is ______. This excerpt is an example of what type of poem?A. BalladB. SonnetC. Sestina D. Haiku if you shift the absolute value parent function, F(x)= IxI, right 9 units, what is the equation of the new function?A. G(x)=IxI-9B. G(x)=Ix+9IC. G(x)=Ix-9ID. G(x)=IxI+9 Use the distance formula to find the length of the segment C(2, 1) toD(5,6). Round your answer to two decimal places. Describe the structure of a neuron. Include the cell body, dendrites, and axon in your description. How does the structure of a neuron help it carry out its function efficiently? What are the domain and range of g of x equals negative 3 times the square root of the quantity x minus 1? D: (1, ) and R: (0, ) D: [3, ) and R: [0, ) D: (3, ) and R: (, 0) D: [1, ) and R: (, 0] Bailey tossed a coin 10 times. The results were 7 heads and 3 tails.What is the experimental probability of tossing tails? answer as a fraction For a second order reaction, if [A]^-1 is plotted vs. time, which corresponds to the slope of the plot?a. 1/ab. Kc. 1/kd. Ln[a]e. -k beRead the excerpt from "The Goatherd and the WildGoats."A goatherd, driving his flock from their pasture ateventide, found some Wild Goats mingled among them,and shut them up together with his own for the night.The next day it snowed very hard, so that he could nottake the herd to their usual feeding places, but wasobliged to keep them in the fold.He gave his own goats just sufficient food to keep themalive, but fed the strangers more abundantly in the hopeof enticing them to stay with him and of making them hisown.When the thaw set in, he led them all out to feed, and theWild Goats scampered away as fast as they could to themountains.The Goatherd scolded them for their ingratitude inMark this and returnBased on the details in the story, what is its primarypurpose?O to educate children about how to treat othersto teach readers how goats are fed and cared forOto persuade children to be wary of strangers bearinggiftsOto entertain readers with a story about a foolishgoatherd Nearly _____ of all new drivers 15 to 19 are convicted of a traffic violation in their first year of driving. Thousands of families went over the American prairies in turnpikes, Conestoga wagons,prairie schooners A scalene triangle whose angles are all congruent possible or impossible _____ occurs when a sample, in some ways, is not representative of the target population. What is a topic not found in the florentine codex? Kevin works in an airline office. he has a habit of visiting social networking sites on his office computer during work hours. which ethical error is kevin making? 6) What were three ways that the government helped African Americans tovote with this law?7) What groups do you think have had trouble voting throughout Americanhistory?8) What role does the government have in ensuring their citizens' rights?9) Why do you think that the Voting Rights Act of 1965 is considered by manypeople to be the most influential legislation ever signed in America's history?10) What do you think is the overall impact that the Voting Rights Act of 1965had on America? what is meant by green mathematics?give meaningful answer .[tex]4222125.[/tex]who can give the first answer In a muscle cell, Blank (Answer options) sarcoplasmic reticulum, T Tubules, Myofibris, Actin, and myosin filaments contain Blank(Answer Options) T Tubules, fascia, sarcomeres, myofibrils.Please Help