Answer:
[tex]y = {(x + 3)}^{2} - 14[/tex]
Step-by-step explanation:
The original equation
[tex] f(x) = {x }^{2} + 6x - 5[/tex]
vertex form
[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]
solve for the x coordinate of the vertex, h
[tex]x = h = - \frac{b}{2a} = - \frac{6}{2(1)} = - \frac{6}{2} = - 3 \\ x = h = - 3[/tex]
substitute -3 back into the original equation to solve for y
[tex]y = { (- 3)}^{2} + 6( - 3) - 5 \\ y = 9 - 18 - 5 \\ y = 4 - 18 \\ y = k = - 14 [/tex]
substitute h and k values into the vertex form
a = 1 So we can omit it
[tex]y = {(x - ( - 3)}^{2} - 14 \\ y = {(x + 3)}^{2} - 14[/tex]
25 points for help! i will mark you brainiest too!
What is the name of this circle?
number 1 is the answer circle FA
The scale of map is 1cm : 70km. What is the actual distance between towns that are 5cm apart on the map
Answer: 350km
Step-by-step explanation:
Since we are informed that the scale of map is 1cm : 70km. Therefore, the actual distance between towns that are 5cm apart on the map will be:
= 5 × 70km
= 350km
Therefore, the answer is 350km
A survey found that 68% of book buyers are 40 years old or older. If two book buyers are selected at random, what is the probability that both are 40 years old or older?
Answer:
15%
Step-by-step explanation:
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Answer:
D
Step-by-step explanation:
Simplify completely.
(2 + 3i) + (-4+i)
Answer:
-2+4i
Step-by-step explanation:
Simplify by combining the real and imaginary parts of each expression.
The simplified form of the complex expression is -2 + 4i.
What are Complex Numbers?Complex numbers are numbers which are of the form [tex]a+ib[/tex],
where a and b are real numbers and i is the imaginary number called iota whose value is [tex]i^{2}[/tex] = -1.
Given expression is (2 + 3i) + (-4 + i).
Addition of complex numbers is defined as,
(a + ib) + (a' + ib') = (a + a') + i(b + b')
Using the definition of addition of complex numbers, given expression can be added as,
(2 + 3i) + (-4 + i) = (2 + -4) + i(3 + 1) = -2 + 4i
Hence the resulting value is -2 + 4i.
To learn more about Complex Numbers, click on the link given below :
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there are 9 rows of tomato plants with 205 plants in each row. How many tomato plants are there in all?
Answer:
1 row = 205plants
9*205=1845plants
Therfore 1845 plants are there in 9 rows of tomato.
Step-by-step explanation:
Please mark as brainliest.
If a persons monthly income consists of $550 plus a commision of 4% on all his sales. Find his total income for a month where he sold items for $590
Answer:
$613.6
Step-by-step explanation:
Given data
Monthly income = $550
Plus commision =4% of sales
Sale for the month= $590
Let us find the commission earned
4/100*590
=0.04*590
=$23.6
Hence the net income for that month is
=23.6 +590
= $613.6
Evaluate 2^3x-1 for x = 1.
Answer:
4
Step-by-step explanation:
Answer:
this don't make any sense bro
Step-by-step explanation:
what is the number in between 2 3
WILL GIVE BRAINLIEST IF BOTH QUESTIONS ARE CORRECT!!!
Answer:
69824.21
¯\_(ツ)_/¯
＼＼ Λ＿Λ This is Memecat. Help
＼( 'ㅅ' ) memecat take over
> ⌒ヽBRAINLY by pasting her
/ へ＼ in 999 other servers
/ / ＼＼ or she will never
ﾚ ノ ヽつ be a meme
/ /
/ /|
(=✪ᆽ✪=)
o(*≧□≦)o
Step-by-step explanation:
I need an answer! NO LINKS PLS! il give brainlist
Answer:
Step-by-step explanation:
how much money would billy have to borrow from a bank in order to purchase his car today?
The probability of being assigned a locker next to a classroom door is 11%. What is the probability of not getting a locker next to a classroom door.
Answer:
0.7921%
Step-by-step explanation:
89/100×89/100
Whats the slope using rise/run?
thank you
Answer:
answer is 7
Step-by-step explanation:
one point is at (1,3) and the other at (0,-4)
to get slope y2-y1 / x2-x1
so -4-3 / 0-1
-7/-1
so answer is 7
Find the volume of the cylinder. Round your answer to the nearest tenth.
12 in.
10 in.
Answer: this is your answer 4523.9
Step-by-step explanation:
If Debbie starts a retirement account with $100 that has an annual rate of return of 8%, how long (in years) would it take for her to
have at least $100,000 if interest is compounded continuously?
A) 1 year
B) 8 years
C) 87 years
D) 90 years
Answer:
C.) 87 years
Step-by-step explanation:
I've taken the test! Hope this helps! ;)
The number of years for her to have at least $100,000 if interest is compounded continuously is 90
How to determine the number of years?The given parameters are:
Amount, A = 100,000
Principal, P = 100
Rate, r = 8%
Amount is calculated using:
A = P * (1 + r)^t
So, we have:
100000 = 100 * (1 + 8%)^t
Divide by 100
1000 = (1 + 8%)^t
Evaluate the sum
1000 = 1.08^t
Take the logarithm of both sides
log(1000) = log(1.08)^t
Apply the law of logarithm
log(1000) = tlog(1.08)
Solve for t
t = log(1000)/log(1.08)
Divide
t = 89.7
Approximate
t = 90
Hence, the number of years is 90
Read more about compound interest at:
https://brainly.com/question/2455673
help!!! (Brainlist!!!!!)
Answer:
Its A
Step-by-step explanation:
How do I solve X/12+1/3=-5/3
Answer:
16
Step-by-step explanation:
x/12=5/3-1/3
x/12=4/3
3x=12×4
3x=48
x=16
Answer is in the picture attached
Dilation of 2 about the origin
Answer:
I am pretty positive that this means that you increase the size of the shape by 2 blocks on the grid format.
Step-by-step explanation:
Meaning...
shift ∠U 2 blocks to the left on the x-axis
shift ∠V 2 blocks vertically (up) on the y-axis
shift ∠W 2 blocks diagonally to the right
I really hope this helps! I pray this is correct for your sake!
Teresa received $80 for her birthday. At what rate would she have to invest to have $90 at the end of the year
Easy math question hurry up pls it 20 points
Answer and Step-by-step explanation:
1.
c(1) = -0.6
c(n) = c(n - 1) × -5
Those are the answers.
#teamtrees #PAW (Plant And Water)
Question 6 of 25
Julie ran for 21.8 seconds. Which statement is not true?
A. Julie's time was more than 21 seconds, but less than 22 seconds.
B. All of these statements are true.
C. The 21 represents whole seconds. The 8 represents part of a
second.
D. The 8 represents more time than the 2.
SUS
Whick statement is not true
Answer:
b and d are the answers!
Step-by-step explanation:
(HELP MEH FOR BRAINLY! ITS ONLY MULTIPLE CHOICE YALL)
Answer:
option (1)
Step-by-step explanation:
f(x) - g(x)
= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis
= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms
= 7x² - 8x + 4
Anyone know the song you broke me first?
Answer:
Yes its very sad (the words)
Step-by-step explanation:
Not going to lie but it does kind of sound like camila cabeo sang it.
I really like the tune and the singing too
QUESTION 10 of 10: Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month. If each
screen press can handle 500 shirts per day, about how many presses do you need?
a) 2
b) 3
c) 4
od) 5
ОООО
There are 4 presses we need.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month.
And, Each screen press can handle 500 shirts per day.
Now,
Since, In a month there are 30 days.
And, Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month.
Hence, Number of shirts need to press per day = 60,000 / 30
= 2,000
Since, Each screen press can handle 500 shirts per day.
Hence, Number of press for 2,000 shirts = 2,000 / 500
= 4
Thus, There are 4 presses we need.
Learn more about the mathematical expression visit:
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Lucy purchase a swimsuit and a towel. The towel represent 30% of the total cost. If she spent $15.00 on the towel, then what was her purchase total
Answer:
$50
Step-by-step explanation:
Given data
Let the total purchase be x
Hence 30% of x is $15
Let us find the value of x
30/100*x= 15
0.3*x=15
0.3x=15
x= 15/0.3
x= $50
Hence the purchase is $50
Answer:
$50 is the total
Step-by-step explanation:
30% over 100% = 15 over x
then you cross multiply and get:
30x = 1500
you then divide both sides by 30
30 and 30 cross out
1500 ÷ 30 = $50
please help , thank you!
Answer:
1/1
Step-by-step explanation:
x1 subtracted by x2
in this case 3-2=1
Then y1 subtracted by y2
5-4=1
y will be put over x in fraction form
Answer:1/1
Answer:
mark her as brainliest
Step-by-step explanation:
Help me pleaseee!! I’ll mark
Answer:
esarespuesta ad 56
Step-by-step explanation:
Help me solve this please.
The answer would be D.) 29.8 units
Hope this helps have a great day :)
for brainiest:):):):):):):):)
Answer:
1. $22.50 2. $11.70
Step-by-step explanation:
Cause 30% of 75 is 22.5 and 65% of 18 is 11.7