Answer:
[tex]y = 2\, (x - 9)^{2} - 1[/tex].
Step-by-step explanation:
If the vertex of a parabola is [tex](h,\, k)[/tex], there would exist a constant [tex]a[/tex] ([tex]a \ne 0[/tex]) such that the following would be an equation for this parabola:
[tex]y = a\, (x - h)^{2} + k[/tex].
The equation above is in the vertex form.
In this question, the vertex of this parabola is [tex](9,\, -1)[/tex]. (Such that [tex]h = 9[/tex] and [tex]k = -1[/tex].) Therefore, the equation of this parabola in the vertex form would be:
[tex]\text{$y = a\, (x - 9)^{2} + (-1)$ for some $a \ne 0$}[/tex].
It was also given that the point [tex](7,\, 7)[/tex] is on the parabola. In other words, if [tex]x = 7[/tex] and [tex]y = 7[/tex], the equation of this parabola ([tex]\text{$y = a\, (x - 9)^{2} + (-1)$}[/tex]) should be satisfied. In other words:
[tex]7= a\, (7 - 9)^{2} + (-1)[/tex].
Solve this equation for [tex]a[/tex].
[tex]a = 2[/tex].
Therefore, the equation of this parabola in vertex form would be[tex]y = 2\, (x - 9) + (-1)[/tex], which is equivalently [tex]y = 2\, (x - 9)^{2} - 1[/tex].
I need help in statistics
Answer:
What help you neep? Please ask with out no fear
A snake bar sold 12 1/2 gallons of milk at 35 cents a pint. How much did the snack bar receive for the milk
9514 1404 393
Answer:
$35.00
Step-by-step explanation:
The number of pints sold is ...
(12.5 gal)×(8 pt/gal) = 100 pt
Then the total amount received for the milk is ...
(100 pt)($0.35/pt) = $35.00
If you need to find the value of a variable in an equation, you need to
equation, which means to find the set of values that makes the equation true.
A.isolate
B.simplify
C.check
D.solve
PLEASE HELP FAST. Maggie pays for a 6-month subscription to a video streaming channel. Because she purchased 6 months at once, she receives a $10 discount. Her final price after the discount is $43.94. What was the original price per month (H)?
Answer:
53.94$
Step-by-step explanation:
Answer:
53.94$
Step-by-step explanation:
Hello need help on this question (:
Answer:
the answer is B. the 2 in the hundredths place is 1/10 the 2 in the tenths place
Find the solution of the system of equations. 6x -y= 21. -5x + y= -18
Simplify 3xy²-2a²b-4xy²+8a²b
Answer: 6a^2b - xy^2
Step-by-step explanation:
Answer:
If you EVALUATE it is [tex]6ba^{2}[/tex] - [tex]xy^{2}[/tex]
Differentiate w.r.t. x means the answer is
[tex]-y^{2}[/tex]
Step-by-step explanation:
Hi, need help on this simple division question (:
Answer:
775
Step-by-step explanation:
186÷0.24=775
your welcome
A is the point (8, 5) and B is the point(- 4, 1).Calculate the length of AB. *
Answer:
..............................
Casey burrows 3200 for a computer system at a rate of 4.25% per year. How much simple interest will he owe if he takes 4 months to repay the loan? Round to the nearest cent.
Answer:
$45.33
Step-by-step explanation:
First we find 4.25% of $3200 to find the interest in 1 year.
For simple interest, use this formula:
I = Prt
where
I = amount of interest
P = principal amount (the amount deposited or borrowed)
r = annual interest rate
t = number of years
We have
I = ?
P = $3200
r = 4.45% = 0.425
t = 1 year
I = ($3200)(0.0425)(1)
I = $136
The interest in 1 year is $136.
Now we convert 4 months to years
1 year = 12 months
4/12 = 1/3
4 months are only 1/3 of a year, so he pays only 1/3 of the interest of an entire year.
1/3 * $136 = $136/3 = $45.3333...
Answer: $45.33
HELP ME ON THIS QUESTION PLZ!!!
x + 10 + x + 10 = 2x + 20
= 2 (x + 10)
So, option (d) is correct
Please answer this problem worth 59 pts
Answer:
35.2Step-by-step explanation:
Find the missing angle:
m∠L = 180° - 60° - 45° = 75°Use the law of sines to determine the lengths of the sides:
LM / sin ∠K = KM / sin 75°12 / sin 60° = KM / sin 75KM = 12 sin 75° /sin 60° = 13.4 (rounded)KL / sin ∠M = LM / sin ∠KKL / sin 45° = 12 / sin 60°KL = 12 sin 45° / sin 60° = 9.8 (rounded)Find perimeter:
P = 12 + 13.4 + 9.8 = 35.2What is the slope of -7 ,-4 and 7,-4
Answer:
ifk
Step-by-step explanation:
what is a nice party in the car going right be in a call to get place to go out and to some of these things for you to take care and party and to parties place party on the phone case pink or something like else is one nice good to of rid if not you a bit of longer health way your family or
Write each fraction as a decimal and as a percent.
Answer:
0.35 and 35%
Step-by-step explanation:
7/20=35/100
35/100=0.35=35%
Please help fast !!!!!!!!!
Answer:
x >= -2
Closed circle and going to the right, so it is greater than or equal to -2.
A bacteria can double every 4 hours. If you start with 22, how many will you have in 18 hours?
Answer:
ii cud givee uu an explanation for understandment for help if still don't understand im sowwyy thenn.
Step-by-step explanation:
It is given that the number of bacteria doubles every hour.
Therefore, the number of bacteria after every hour will form a G.P.
with first term (a=30) and common ratio (r=2)
∴a
3
=ar
2
=(30)(2)
2
=120
Therefore, the number of bacteria at the end of 2nd hour will be 480.
a
5
=ar
4
=(30)(2)
4
=480
and a
n+1
=ar
n
=(30)(2)
n
Thus the number of bacteria at the end of nth hour will be (30)(2)
n
Geometric sequence can model the considered situation. The number of bacteria in 18 hours for the considered situation will be 264
What is a geometric sequence and how to find its nth terms?There are three parameters which differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.The second parameter is the quantity by which we multiply previous term to get the next term.The third parameter is the length of the sequence. It can be finite or infinite.Suppose the initial term of a geometric sequence is [tex]a[/tex] and the term by which we multiply the previous term to get the next term is [tex]d[/tex]
Then the sequence would look like
[tex]a, ad, ad^2, ad^3, ad^4,...[/tex] (till the terms to which it is defined)
Thus, the nth term of such sequence would be
[tex]T_n = ad^{n-1}[/tex]
We can model the given situation with the geometric sequence since each previous count is being doubled(multiplied by 2) per 4 hours.
We're given initial number of bacteria = a = 22
Each new element will be denoting number of bacteria after 4 hours from previous count.
So, from 0 to 16 hours, there are four set of 4 hours. Thus, n = 4
Since number of bacteria are doubling, thus, d= 2
We get fourth term = number of bacteria after 16 hours
[tex]T_n = a(d)^{n-1} = 22 \times (2)^3 = 176[/tex]
Now, in the last 2 hours, assuming that if x -> 2x in 4 hours(which is increment of x), then in 2 hours, only x/2 must be incremented.(assuming linear growth in each 4 hour group).
Thus, after 18 hours, 176 + 176/2 will be the number of bacteria.
Thus, Number of bacteria after 18 hour for the given case = 176 + 88 = 264
Learn more about geometric sequence here:
https://brainly.com/question/2735005
Which expression uses the associative property to make it easier to evaluate 14(1/7 2/5)?
A. 14(2/5.1/7)
B. 7(1/14.2/5)
C. (14.5/2)1/7
D. (14.1/7)2/5
Answer:
B
Step-by-step explanation:
Answer:
A. 14(2/5.1/7)
Step-by-step explanation:
15. Tom is deciding whether or not he should become a gym member to use their basketball courts. The membership cost is $135. Members pay $3 to rent out the basketball courts. Non-members can rent the courts also, but they have to pay $11 each time. How many times would Tom need to rent the court in order for it to be cheaper to be a member than a non-member?
Answer:
Tom need to rent the court in order for it to be cheaper more than 15 times.
Step-by-step explanation:
Answer:
Tom needs to rent it atleast 17 times.
Step-by-step explanation:
1) First, write your equations. x in this case equals the # of times you rent the court.
For members: y = 135 + 3x (members)
Non-members: y = 11x (non-members)
From here, there can me many methods that can work. Right now I can only think of one though :/.
So what you can do is plug in numbers and see what happens. I suggest you work with easy numbers when you plug stuff in. Once you find that non-members is greater than the amnt for members have, that's your answer!
a) x = 10
For members: 135 + 3(10) = 165
Non-members: 11(10) = 110
Didn't work. :(
b) x = 20
For members: 135 + 3(20) = 195
Non-members: 11(20) = 220
Aha! We have a valid answer. However, we need to find the minimum number of times Tom needs to rent it.
c) x = 15
For members: 135 + 3(15) = 180
Non-members: 11(15) = 165.
So our answer is between 15 and 20.
If you keep doing this, you'll find that 18 is the minimum number of times tom will have to rent the court. So your answer is anything greater than equal to 17.
x = 17
For members: 135 + 3(17) = 186
Non-members: 11(17) = 187
Sorry I made this tedious, but this is one method. Though I helped you find the answer, I hope someone else can help you find the best method!
Graph the image of the polygon after the given rotation. 90 degrees
Answer:
qqqqqqqqqqqqqqqqqqqqqqqq
I NEED A MATH EXPERT TO GIVE ME 100% ACCURATE RIGHT ANSWER FOR THESE QUESTIONS NO LINKS !!!
4(+2)=8+4
1.Distribute
4(+2)=8+4
4+8=8+4
2.Rearrange terms
4+8=8+4
4+8=4+8
3.Subtract 8 from both sides of the equation
4+8=4+8
4+8−8=4+8−8
4.Simplify
Subtract the numbers4+8−8=4+8−8
4=4+8−8
2.Subtract the numbers
4=4+8−8
4=4
5.Subtract 4 from both sides of the equation
4=4
4−4=4−4
6.Simplify
1.Combine like terms
4−4=4−4
0=4−4
0=0
The Answer is 0=0.
[tex] \frac{1}{5}(25 - 5a) = 4 - a [/tex]
Rearrange terms
[tex] \frac{1}{5}(25 - 5a) = 4 - a \\ \frac{1}{5}( - 5a + 25) = 4 - a \\ [/tex]
2.Combine multiplied terms into a single fraction
[tex] \frac{1}{5}( - 5a + 25) = 4 - a \\ \frac{1( - 5a + 25)}{5} = 4 - a [/tex]
3.Multiply by 1
[tex] \frac{1( - 5a + 25)}{5} = 4 - a \\ \frac{ - 5a + 25}{5} = 4 - a [/tex]
4. Rearrange terms
[tex] \frac{ - 5a + 25}{5} = 4 - a \\ \frac{ - 5a + 25}{5} = - a + 4 [/tex]
5.Add to both sides of the equation
[tex] \frac{−5+25}{5} = - a + 4 \\ \frac{−5+25}{5} + a= - a + 4 + a [/tex]
6. Simplify
Find common denominator
[tex] \frac{ - 5a + 25}{5} + a = - a + 4 + a \\ \frac{ - 5a + 25}{5} + \frac{5a}{5} = - a + 4 + a [/tex]
2.Combine fractions with common denominator.
[tex] \frac{ - 5a + 25}{5} + \frac{5a}{5} =−+4+ \\ \frac{−5+25 + 5a}{5} = - a + 4 + a [/tex]
3. Combine like terms
[tex] \frac{ - 5a + 25 + 5a}{5} = −+4+ \\ \frac{25}{5} = −+4+[/tex]
4. Cancel terms that are in both the numerator and denominator
[tex] \frac{25}{5} = −+4+ \\ 5 = −+4+[/tex]
5. Combine like terms
5 = - a + 4 + a
5=4
Answer: 5=4.
7
Tina is working on a science project. She needs to make green paint in
order to complete her project. For every two gallons of blue paint, she
needs to add six gallons of yellow. If Tina used a total of 1,312 gallons
of paint, how many gallons were yellow?
94
Answer:
I think 164
Step-by-step explanation:
1312/8
The somatic cells, or non-reproductive cells, in the human body contain 46 chromosomes that occur as 23 pairs of chromosomes.
Which answer below best explains where these chromosomes come from?
Step-by-step explanation:
23 of the chromosomes come from one parent , 23 from other parent.
9. Please answer this question
Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2.02
Step-by-step explanation:
Queens help me solve this
-0.125(0.25x - 0.5)
Answer:
−0.03125x + 0.0625
Step-by-step explanation:
Answer:
0.03125x−0.0625
Step-by-step explanation:
anyone have the answer to this one?
Area of the rectangle is 60
Area of the semi circle 14.13 ir 14.1
60 plus 14.1 is 74.1
I hope its right
8. Given MML = 80 and m2KML 33
what is mM
the qustion is to make 5 dinner rolls 1/3 cup of flour is used how much flour is needed to make 1 dinner roll
Answer:
[tex]\frac{1}{15}[/tex] cup of flour
Step-by-step explanation:
5 rolls = [tex]\frac{1}{3}[/tex] cup
? × 5 = [tex]\frac{1}{3}[/tex]
[tex]\frac{1}{3}[/tex] ÷ 5 = ?
[tex]\frac{1}{3}[/tex] ÷ [tex]\frac{5}{1}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{15}[/tex]
Given lines are parallel, find value of x.
Answer:
x=42
Step-by-step explanation:
3x+1+x+11=180
Combine like terms
4x+12=180
subtract 12 from each side
4x=168
divide by 4
x=42
Hope this helps! Have a great day!!
Help please thanksss