Answer:
[tex]y = 5 ( x - 3 ) ^2 -2[/tex]
OR
[tex]y+2= 5 ( x - 3 ) ^2[/tex]
Step-by-step explanation:
Vertex form of a parabola is given as:
[tex]y = a ( x - h ) ^2 + k[/tex]
Where ([tex]h,k[/tex]) is the vertex and [tex](x,y)[/tex] are the points on the parabola.
We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).
[tex]h = 3,k = -2[/tex]
First of all, putting the vertex in the vertex equation as given above:
[tex]y = a ( x - 3 ) ^2 + (-2)[/tex]
Now, putting the values of [tex]x, y[/tex] as 2, 3 and let us find the unknown variable [tex]a[/tex]:
[tex]3 = a ( 2 - 3 ) ^2 + (-2)\\\Rightarrow 3 = a -2\\\Rightarrow a = 5[/tex]
Therefore, the equation in vertex form can be written as:
[tex]y = 5 ( x - 3 ) ^2 -2[/tex]
OR
[tex]y+2= 5 ( x - 3 ) ^2[/tex]
Please help really fast!!!
Answer:
The answer is
[tex] \sqrt{65} [/tex]
Step-by-step explanation:
We need to find the distance as instructed.
Its formula is:
[tex]d = \sqrt{(x_2 - x_1) ^{2} + (y_2 - y_1)^{2} } [/tex]
Let's plug in according to the formula and solve.
[tex]d = \sqrt{(x_2 - x_1) ^{2} + (y_2 - y_1)^{2} } \\ d = \sqrt{( - 7 - 1) ^{2} + (2 - 3)^{2} } \\ d = \sqrt{64 + 1} \\ d = \sqrt{65} [/tex]
A college has a financial aid formula that applies to applicants whose family's income is below a certain threshold. The financial aid can be determined by the function f(x)=15000+3000x, where x is the number of siblings (including half siblings and step siblings) that the applicant has living in their household. Find and interpret the given function values and determine an appropriate domain for the function.
PLZ HELP!
Answer:
This equation shows you how financial aid increases $3000 for every additional sibling, starting at $15,000.
Step-by-step explanation:
This equation means that for every sibling there is an additional $3000 in financial aid. When there are no siblings there is an automatic $15000 in financial aid.
Since you can't have "negative number" of siblings, the domain must begin with 0. You can have a lot of siblings, so let's put the end of domain as infinity.
Domain = [0, ∞)
If you substitute in this domain into the equation, the range will be the output. The least will be $15,000 and the most will be infinity as well.
Range = [15000, ∞)
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Can someone answer for E please? This is my 34th question and this is probably easy but my brain cant handle any more. Will mark brainliest
Step-by-step explanation:
4/3 = -6e - 5/3
6e = -4/3 - 5/3
6e = -9/3 = -3
e = -0.5
Answer:
The equation is always false
Step-by-step explanation:
HELP ASAP PLS!!!
p(x)=x^3 : m(x)= 4p(x-3)-5
Describe the transformation(s) performed on p(x) that produced m(x).
Then, write a specific equation for m(x).
help please !! thank you so much
Answer:
Yes it is a proportional relationship
Step-by-step explanation:
That is because 20 and 10 are your original and 40 and 20 and 60 and 30 match with it.
(-7,-1) (-1,-7) (3,-11) (7,-15) What is the range of the set of ordered pairs above?
Answer:
The range of the set of ordered pairs are [tex]Y =\{-1,-7,-11,-15\}[/tex].
Step-by-step explanation:
Let [tex](x,y)[/tex] be an ordered pair, where [tex]x[/tex] corresponds to an element of the domain and [tex]y[/tex], an element of the range. Hence, the range of the set of ordered pair are:
[tex]Y =\{-1,-7,-11,-15\}[/tex]
The range of the set of ordered pairs are [tex]Y =\{-1,-7,-11,-15\}[/tex].
There are 49 female performers in a dance recital. The ratio of men to women is 2:7. How many men are in the dance recital? There are men in the dance recital.
Answer:
Number of men= 13.99 = 14
Step-by-step explanation:
Giving the following information:
There are 49 female performers in a dance recital. The ratio of men to women is 2:7.
First, we determine the proportion of men to women:
Proportion men to women= 2/7= 0.2857
Now, we calculate the number of men in the show:
Number of men= 0.2857*49
Number of men= 13.99 = 14
7th grade math help me pleaseee :)
Answer:
answer of 2a)
He started with $24 and spent $16. Let a represent his account balance after he bought the notebook and pens. Then
24–16=a
His new account balance is $8.
He has $8 in his account and then he deposited b dollars. His account balance is now $28. Then
8+b=28
His deposited $20 in his account.
He has $28 and spent $34. Let c represent his account balance after he bought the book. Then
28–34=c
His new account balance is -$6.
He started with an account balance of -$6 and paid the debt off so his account balance is 0. If d is the amount money he deposited to pay off his debt, then
−6+d=0
He deposited $6.
answer of 2b)
If he spends more than he has in his account, then we are subtracting a bigger number from a smaller number, and the result is negative. ... The opposite of a positive number is a negative number, so it makes sense to represent his account balance with a negative number when he owes money to the bookstore.
please give me brainliest:))
Please help! the photo is below
Answer:
8 Green beads
Step-by-step explanation:
12 divided by 3 = 4
4 times 2 = 8
Jeffery and carrie deposit 800.00 into an savings account which earns 4%interest compounded quarterly they want to use the money in the account to go on a trip in 2 years how much will they be able to spend
Answer:
866.29Step-by-step explanation:
Deposit = 800Interest rate = 4% compounded quarterlyTime = 2 yearsNumber of compounds:
2 / 1/4 = 8Saving amount at the end of 2 years:
800*(1 + 0.04/4)^8 = 866.29HELP ME WITH MATH HOMEWORK please 11points㋛㋛
Answer:
7. Option B:40 is the correct answer.
8. Option D: y = 40x+75 is the correct answer.
Step-by-step explanation:
Given that:
Charges per hour = $40
Fee charged by repairman = $75
x = number of hours
y = total fee
According to given statement;
y = 40x+75
The standard equation is
y = mx + b
On comparing;
Slope of the line is given by m, therefore
Slope = m = 40
Hence,
7. Option B:40 is the correct answer.
8. Option D: y = 40x+75 is the correct answer.
Which value could replace x in the table?
O 30-gtg
O 3(30 -9)
O 30-g(3)
O 30-g+3
Pls help ;(
He bought 10 pounds of Golden apples and 20 pounds of Fuji apples
which costs him $20 and $60.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Let Fuji apples be F and Golden apples be G.
In total, he bought 30 pounds of apples.
∴ F + G = 30...(i)
And,
He bought 3 pounds of Fuji apples and 2 pounds of Golden apples.
3F + 2G = 80...(ii)
Now, multiplying eqn(i) by 3 and subtracting from (ii) we get G = 10 and hence F = 20.
So, he bought 10 pounds of Golden apples and 20 pounds of Fuji apples
which costs him $20 and $60.
learn more about linear equations here :
https://brainly.com/question/14056312
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6. Henry examined the table that represents values satisfying the function shown
below.
fax)
0 -18
1
2
4.
3
4.
-6
5 -8
6 0
7 24
8 70
Ollo
Based on the information in the table, select all the key features that are correct.
The y-intercept of the graph of the function is at (0, -18)
The maximum value of the function is 4.
A local minimum is located within the interval 3 sxs6
A local maximum is located within the interval 1
The function is increasing within the interval 6 sxs8
n
Answer:
The maximum value of the function is 4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Express z 1 = 17 [ cos ( π ) + i sin ( π ) ] z 1 =17[cos(π)+isin(π)]z, start subscript, 1, end subscript, equals, 17, open bracket, cosine, left parenthesis, pi, right parenthesis, plus, i, sine, left parenthesis, pi, right parenthesis, close bracket in rectangular form. Express your answer in exact terms.
Answer:
z1 = -17 + 0i
Step-by-step explanation:
Given the complex number z1 =17[cos(π)+isin(π)], we are to express it in rectangular form as shown;
Since cos(π) = -1 and sin(π) = 0, the equation becomes;
z1 =17[cos(π)+isin(π)]
z1 =17[(-1)+i(0)]
z1 = 17(-1 + 0i)
z1 = -17 + 0i
Hence the complex number in rectangular form is expressed as z1 = -17 + 0i
In 1992, Jason bought a gallon of gas for $1.17. Yesterday, he bought a gallon of gas for $2.21. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
The coastline of the Atlantic Coast is 2,069 miles
long. Approximately 10% of the coastline lies in New Hampshire. About
how many miles of the coastline lie in New Hampshire? Explain how you
estimated
with workkk
Answer:
23 miles
with workkk
Step-by-step explanation:
2,069-------90% (0,9)
x ------------- 10% (0,1)
x= 2.069x0,1 : 0.9= approximately 23 miles
Yesterday, the temperature at noon was 22.5 degrees. By midnight, the temperature had decreased by 27.7 degrees. What was the temperature at midnight?
Answer:
54.23
Step-by-step explanation:
If that not a choice simpfly
What is the slope of the line?
Answer:
Slope = 3/4
Step-by-step explanation:
sorry it’s late. Pls give brainliest.
Given g(x)=2x+3, solve for x when g(x)=3
Answer:
-3/2
Step-by-step explanation:
Kristin bought 8 books for a total of $238.60. Math books cost $29.60 and
English books cost $29.90. How many of each type of book did she buy?
Answer: 2 Math books and 6 English books
It cost Kaylee $7.26 to send 66 text messages. How much does each text cost to send?
Answer:
0.11
Step-by-step explanation:
7.26 / 66 = 0.11
hope this helps <3
5x^2-2x=2
help plsmmm
Answer:
Presumably you're solving for x here? Without further information we'll assume that.
With that in mind, x is approximately equal to 0.86 and -0.46
Step-by-step explanation:
Let's start by putting it in the usual ax² + bx + c format.
[tex]5x^2- 2x = 2\\5x^2 - 2x - 2 = 0\\[/tex]
let's solve it. First we'll multiply both sides by five, making the first term a perfect square:
[tex]25x^2 - 10x - 10 = 0\\[/tex]
Now we'll add 11 to both sides:
[tex]25x^2 - 10x + 1 = 11\\[/tex]
Which makes the left side a perfect square:
[tex](5x - 1)^2 = 11[/tex]
And now we can solve for x:
[tex](5x - 1)^2 = 11\\\\5x - 1 = \sqrt{11} \\\\5x = 1 + \sqrt{11}\\\\x = \frac{1 + \sqrt{11}}{5}[/tex]
Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.
That gives us two answers:
[tex]x = \frac{1 + \sqrt{11}}{5}\\\\x \approx \frac{1 + 3.32}5\\\\x \approx \frac{4.32}5\\\\x \approx 0.86[/tex] [tex]x = \frac{1 - \sqrt{11}}{5}\\\\x \approx \frac{1 - 3.32}5\\\\x \approx \frac{-2.32}5\\\\x \approx -0.46[/tex]
What is 10% of 60? Explain how you calculated your answer
Answer:
6
Step-by-step explanation:
10 percent decimal form = 0.10
60 * 0.10 = 6
What is the value of
-8(17-12)
————
-2(8-(-2)
-4
-2
2
4
Answer:
C. 2
Step-by-step explanation:
(-8(17-12)/(-2(8-(-2) = 2
Evaluate
f(x) = 3x + 10 over the domain {0, 6, 12, 24}.What is the range of f(x)?
Answer:
10, 28, 46, 82
Step-by-step explanation:
this could be wrong im not very good with domain and range
The first column contains five pairs of relationships. Determine if each pair forms
a proportional relationship. Mark *Proportional" or "Not Proportional" for each
relationship in the table on your answer document.
Convert into vertex form. Give the vertex.
y = 3x² – 24x + 46
Answer:
Vertex form: [tex]y = 3(x - 4)^2 - 2[/tex]
Vertex: (4, -2)
Step-by-step explanation:
Hello!
We have to complete the square, and then simplify.
Solve:[tex]y = 3x^2 - 24x + 46[/tex][tex]y = 3(x^2 - 8x) + 46[/tex]The equation in vertex form is [tex]y = 3(x - 4)^2 - 2[/tex]
The vertex is (4,-2)
Vertex formVertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.
I think the answer is between 1 and 2
Answer:
1111111111111111111111111
I need help on this question and I don't really know where to start can somebody help me?
Answer:
C
Step-by-step explanation:
Answer:
1:4, meaning 1/4 section is grey. 100/4 is 25.
H is correct
Step-by-step explanation:
HELP 55 POINTS!
Determine if each set of ordered pairs represents a function.
(2, 3). (6,-5), (-1,3)
(1, 9), (-3, -2) (1, -4)
(7,4). (0, 9), (2, -2)
(0, 3). (0, 7), (4, 0)
(-6, 5), (-5,6), (8, 2)
Function
Not a Function
Answer:
(2,3) function
(1,9) not
(7, 4) function
(0,3) not
(-6,5) function