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.
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Can someone help me with this problem and help me understand it better
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
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?
Answer:
Apigy 60918370927710 paojzob pour ta life yzs 029282728
The product of an irrational number and a rational number will be
Answer:
an irrational number
Step-by-step explanation:
Write an expression in terms of x that represents the distance (in feet) between Deandre and Paige.
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:
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
Answer:
B
Step-by-step explanation:
money supply because this has to balanced out in turn will determine any change in the economic activity.
Does the graph represent a function? (will give BRAINLIEST)
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
Figure A is original and Figure B is the copy.
Answer:
scale factor = 3.5; missing side = 17.5 cm
Step-by-step explanation:
see attached image
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?
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.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?
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
how can I learn to understand it more
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.
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
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
8- 2r+6r+5=? use r = 8
Answer:
45
Step-by-step explanation:
8 - 16 + 48 + 5
-8 + 48 + 5 =
40 + 5 =
45
Hope that helps!
How do you solve for a variable?
A. Use the alphabet
B. Displacement
C. Get it by itself
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.
1 3/4 + 2 2/5=
Addition of fractions
Answer:
Improper fraction: 83/20
Decimal: 4.15
Mixed Number: 4 3/20
Step-by-step explanation:
65% of 75 is equal to what number?
Answer:
48.75
i am sure
hope this helped you
Please help i cant do it
What 5 divided by 4.25.
Answer:
Step-by-step explanation:
5 divided by 4.25 = 85 reminder 0
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?
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
Answer:
karlee has 28 pencils in her 4 pencil packs
Answer:
Its 28
Step-by-step explanation:
because it is
Solve: x (x + 3) = 28
Answer:
x = 25
Step-by-step explanation:
28 - 3 = 25
Answer:
x = 25
Step-by-step explanation:
✨6 Grade Math✨ PLEASE HELP I RLLY DONT GET IT
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
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
A sound wave travels at 330m/s and has a wavelength of 2 m. calculate its frequency and period.
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]
3x+2=14 what number makes the equation true?
Answer:
Step-by-step explanation:
3x+2=14 subtract 2 from both sides
3x=12 divide both sides by 3
x=4
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?
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! :)
A wheel for Lisa's bike has a diameter of 24 inches. What is the circumference, C, in inches? Use 3.14 for π
Answer:
75.36 inches
Step-by-step explanation:
C = π·d
C = 3.14(24)
C = 75.36
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
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.
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.
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;-;
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