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:

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:

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

✨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

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.

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

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

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.

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

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

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

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

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

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]

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 :(

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

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.

What 5 divided by 4.25.

Answers

Answer:

Step-by-step explanation:

5 divided by 4.25 =  85 reminder 0

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

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!

     

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

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

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!

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! :)

Solve: x (x + 3) = 28

Answers

Answer:

x = 25

Step-by-step explanation:

28 - 3 = 25

Answer:

x = 25

Step-by-step explanation:

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.

Please help i cant do it

Answers

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

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

Answers

Answer:

an irrational number

Step-by-step explanation:

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

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