Answer:
f(x) = (x - 7)² - 14
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Vertex Form: f(x) = a(bx - c)² + dCompleting the Square: (b/2)²Step-by-step explanation:
Step 1: Define
f(x) = x² - 14x + 63
Step 2: Rewrite
Separate: f(x) = (x² - 14x) + 63Complete the Square: f(x) = (x² - 14x + 49) + 63 - 49Simplify: f(x) = (x - 7)² - 14Answer:
-7 and 14 on khan
1 Admission to the local movie theater is $3 for each child and $7 for each adult. A group of 12 people pay $64 admission. How many children are in this group?
Given:
Admission to the local movie theater is $3 for each child and $7 for each adult.
A group of 12 people pay $64 admission.
To find:
The number of children in a group.
Solution:
Let the number of children be x and number of adults be y.
According to the question,
Total persons : [tex]x+y=12[/tex] ...(i)
Total cost : [tex]3x+7y=64[/tex] ...(ii)
Multiply equation (i) by 7 and subtract the result from (ii).
[tex]3x+7y-7(x+y)=64-7(12)[/tex]
[tex]3x+7y-7x-7y=64-84[/tex]
[tex]-4x=-20[/tex]
Divide both sides by -4.
[tex]x=5[/tex]
Therefore, the number of children is 5.
If Jack wants to retire with $1,000 per month, how much principal is necessary to generate this amount of monthly income if the interest rate is 6% compounded monthly?
Answer:
He needs to learn the disciplinary principal
Step-by-step explanation:
The principal is necessary to generate this amount of monthly income is $497.
Given that, Jack wants to retire with $1,000 per month.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]Amount=Principal(1+\frac{R}{100})^{nt}[/tex]
⇒ 1000 =P[tex](1+0.06)^{12}[/tex]
⇒ 1000=P×2.012
⇒ P=1000/2.012
⇒ P=$497
Hence, the principal is necessary to generate this amount of monthly income is $497.
To learn more about the compound interest visit:
https://brainly.com/question/14295570.
#SPJ2
NEED HELP STAT, whats 1+1
Step-by-step explanation:
1+1 is 2 because 1 and 1 will be 2
Jethro is planting flowers in his garden. He wants the ratio of tulips to roses to be 2 to 1. Jethro wants to plant a total of 18 flowers. How many tulips should he plant?
Given:
Ratio of tulips to roses = 2:1
Total number of flowers = 18
To find:
The number of tulips.
Solution:
Let the number of tulips and roses are 2x and x respectively.
According to the question,
[tex]2x+x=18[/tex]
[tex]3x=18[/tex]
Divide both sides by 3.
[tex]x=\dfrac{18}{3}[/tex]
[tex]x=6[/tex]
Now,
Number of tulips [tex]=2(6)[/tex]
[tex]=12[/tex]
Therefore, the number of tulips is 12.
Solve the division problem below.
The quotient is
Answer:
25/8
Step-by-step explanation:
Answer:
It's -6
Step-by-step explanation:
i got it right lol
The swamp middle school basketball team purchased new equipment and uniforms. The total cost of the equipment was $245 and each uniform cost $21. If the total cost of their purchase was $518, how many uniforms did they buy? Create an equation for this situation.
Answer:
13 uniformsStep-by-step explanation:
Step one:
given data
total cost of equipments= $245
cost of each uniform=$21
Total purchase = $518
Step two:
The amount spent on uniform is total purchase minus the total cost of equipment
=518-245
=$273
Hence the total cost of the uniform is $273
if one will cost $21, then the number of uniforms they bought is
=273/21
=13 uniforms
Answer:
25 uniforms
Step-by-step explanation:
518/21= 24.6 round to 25
write any algebraic eqaution.
Answer:
(y4x2 + 2xy – y)/(x – 1) = 12
Step-by-step explanation:
Answer:
x3 + 1
Step-by-step explanation:
What is the slope of the line?
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[tex]slope = - 3[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Let me know if you need explanation.
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PLEASE HALP ME! timothy had 18 liters of pineapple juice, he shared 4 liters with his sister, 2 with his brother. then got another 12 liters. His brother gave him back 3 liters. How much liters does timothy have?
_________
Answer:
27 liters
Step-by-step explanation:
18-4=14
14-2=12
12+12=24
24+3=27
Five flowering plants are to be planted between two trees which are 12m apart. If the first tree is 2m away from the house, how far from the house is each of the plants?
Answer:
2m, 14m, 26m, 38m, 50m
Step-by-step explanation:
In order to calculate the distance of each tree from the house we simply need to add 12m to the initial starting point of the first tree which is 2m away, and then add 12m to that distance and so on until all 5 trees are planted. The distances would be the following...
1st Tree: 2m
2nd Tree: 2m + 12m = 14m
3rd Tree: 14m + 12m = 26m
4rth Tree: 26m + 12m = 38m
5th Tree: 38m + 12m = 50m
Therefore, those are the distances between each tree 2m, 14m, 26m, 38m, 50m
Uh help please f(6)=1x+2
A number divided by 42 has a quotient of 28 with a remainder of 4. What is the number?
O 1,064
o 1,172
O 1,176
O 1,180
Answer:
D. 1,180
Step-by-step explanation:
Given the following data;
Divisor = 42
Quotient = 28
Remainder = 4
A quotient of 28 simply means that a number divided by 42 would have a value that is equal to 28 without any remainder.
Let the unknown number be X
X = (42*28) + 4
X = 1176 + 4
X = 1180.
Method II
Y/42 = 28
Cross-multiplying, we have;
Y = 28 * 42
Y = 1176
Given that the remainder is 4
X = Y + 4
X = 1176 + 4
X = 1180.
Therefore, the number is 1180.
V5. Suppose you invest $5,000 at 9% interest, compounded annually, for 10 years. Determine the future value of your investment, using the compound interest formula.
Answer: $11836.8
Step-by-step explanation:
Given. That :
Amount invested = $5000
Interest rate = 9% = 0.09
Period = 10 years, compounded annually
Using the compound interest formula :
A = p(1 + r/n)^nt
A = final amount
P = principal or invested amount
r = rate of interest
n = number of times interest Is applied per period
t = period
A = 5000(1 + 0.09/1)^(1*10)
A = 5000(1.09)^10
A = 5000 * 2.36736367459211723401
A = 11836.81837296058617005
= $11836.8
I need the answers to both. Will give brainiest!
Answer:
1. Number 1 and 2 and 4 is a function, 2. number 1 is a function
Step-by-step explanation:
1)To know if it's a function or not run vertical lines through multiple places of the graph. If it is a function every single time you do the vertical line test it should only go over the line once. If you do the vertical line test on 3 you will see that it went over the line on the graph, so we know not a function. Graphs 1, 2, and 4m however, are different, when you do the vertical line test on those graphs it only goes over them once.
2) Choice (1) is a function because when drawing vertical lines through the graph it only goes over one.
Choice (2) is not a function because when drawing vertical lines through the graph it covers two points on the graph.
Choice (3) is not a function because when drawing vertical lines through the graph it goes over multiple points.
Choice (4) is not a function because when a vertical line is drawn, it goes over more than one point on the graph.
The vertical test is a way to determine if it is a function.
When looking at a table functions are one-to-one and many-to-one
Non-functions are one-to-many and many-to-many
Hoped this helped you : )
Find the cost with sales tax for an item with a purchase price of $7. Assume that the sales tax is 8%, or 0.08 times the price.
Group of answer choices
Answer:
$7.56
Step-by-step explanation:
$7(.08) = .56 in tax
$7 item cost + .56 in tax
This is due in 30 mins pls help me
Answer:
Yes, it is still a line
Step-by-step explanation:
The slope of the line is not changed, just the y-intercept. It started as a line, therefore translating it up will have it still remain as a line
help please this due very soon thank you!!!!
Answer:
d
Step-by-step explanation:
just look at where both boxes are placed
Answer:
Choice B
Step-by-step explanation:
It shows that in 5 mins they can package 125 boxes, and if there was 1000 mins they would package a x number of boxes.
HELPPP PWEASEEEEEEEEEEEE
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?
A) 64
B) 128
C) 8
D) 4
Answer:
Step-by-step explanation:
a
Answer:
your answer is A 64
Step-by-step explanation:
there is 16 cups in a gallon so half a gallon is 8 cups 8x8 is 64
Can somebody please help me solve question 20
Answer:
35 + 37
Step-by-step explanation:
if you try any other number like: 37 + 39 = 76 that doesn't work well because its higher that 75.
how do you write a equation with (0,2) and (3,3) in slope-intercept form?
Answer:
m= 3-2/ 3-0= 1/3
Step-by-step explanation:
y2= 3 y1= 2
x2= 3 x1= 0
Can you tell me the answer plsssss
Answer:
19. 36 hours
20. 9 months
Step-by-step explanation:
To find these answers you would simply devide what is made by the goal. In #19 it would be 8/288÷36h
For #20 it would be 15÷135=9
Hopefully this helps.
Answer: 1 , 3 , 4 , 5
Question: Which of the following sentences are written in dialect? Check the four boxes that apply.
“It was the most thrillingist one that ever was; and so he went on a-bragging.”
“I stood by the duke at the door.”
“He will be deeply obleeged if they will mention it to their friends.”
“We are sold – mighty badly sold.”
“What they wanted was low comedy.”
“These Arkansaw lunkheads couldn’t come up.”
I assume that it is 1, 3, 4, and 5. Correct me if I'm wrong. Plz give brainliest if I'm right.
Answer:
1. “It was the most thrillingist one that ever was; and so he went on a-bragging
3 “He will be deeply obleeged if they will mention it to their friends.”
4.“We are sold – mighty badly sold.”
6. “These Arkansaw lunkheads couldn’t come up.”
Step-by-step explanation:
Edge-2021
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines increased by factor of 4?
Answer:
5.5
hope this helped!!!!!
Jaime purchased both a trumpet and a violin for the same amount of money for his music store where he sells used instruments. He marked the trumpet up 40% and sold it for $84. He marked the violin up 45% and sold it to a customer who had a coupon for 15% off any instrument. How much did the customer pay for the violin?
Answer:
12
i think this correct answer
If km and np are parallel lines and m
Answer:
60 degrees
Step-by-step explanation:
how can you tell when an equation in one variable has infinitely many solutions or no solution?
Answer:
A system has infinitely many solutions when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is ��has solution set (4-3z, 5+2z, z) where z can be any real number.
CORRECT ANSWER GETS BRAINLIEST!!
The heights of green bean starter plants at a nursery are Normally distributed with a mean of 40 centimeters. If a green bean plant that has a z-score of 1.67 has a height of 45 centimeters, then what is the standard deviation of this Normal distribution?
Round your answer to the nearest hundredths.
Answer:
2.99 IS THE CORRECT ANSWER
Step-by-step explanation:
Answer:
2.99
Step-by-step explanation:
edge 2023
If ABCD is an isosceles trapezoid, what is the value of x?
AC = 5x - 25
BD = 3x + 11
Answer:
X=18
Step-by-step explanation:
Isosceles means two sides are equal. In this case AC and BD are the same. So put both equations equal to each other and solve
Answer:
the answer will be 18 it is correct answer
what is 358.21 rounded to the nearest hundreth?
Answer:
358.2
Step-by-step explanation:
thats the answer because .21=.2