What is the equation of the graph below?
S
2.
1
-
3
Oy = -(x - 3)2 + 1
Oy = -(x + 1)2 + 4
Oy = (x + 1)2 - 4
Oy = (x - 4)2 + 1
Answers
Answer:
[tex]y=-(x-3)^2+1[/tex]
Step-by-step explanation:
Hi there!
Vertex form: [tex]y=a(x-h)^2+k[/tex] where [tex]a[/tex] is a scale factor and [tex](h,k)[/tex] is the vertex of the parabola
On the graph, we can determine that the vertex of this parabola is (3,1). Plug this into [tex]y=a(x-h)^2+k[/tex]:
[tex]y=a(x-3)^2+1[/tex]
The value of a must either be -1 or 1 because the graph has not been stretched or compressed vertically. How can we tell? Well, starting from the vertex, if we increase x by 1, y only changes by 1. If we decrease x by 1 starting from the vertex, y only changes by 1. This wouldn't be the case if the graph had been stretched or compressed.
Now, because this is a downward-facing parabola, we know that the value of a is negative. Because a can only be -1 or 1, a is therefore -1. Plug this into [tex]y=a(x-3)^2+1[/tex]:
[tex]y=-(x-3)^2+1[/tex]
I hope this helps!
Related Questions
If f(x) = 3 ^ x, prove that f(x) + f(x + 1) = 4f (x) .
Answers
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = [tex]3^{x}[/tex] , then
f(x + 1) = [tex]3^{x+1}[/tex] = [tex]3^{x}[/tex] × 3
Then
f(x) + f(x + 1)
= [tex]3^{x}[/tex] + 3. [tex]3^{x}[/tex] ← factor out [tex]3^{x}[/tex] from each term
= [tex]3^{x}[/tex] (1 + 3)
= 4. [tex]3^{x}[/tex]
= 4f(x)
Please help
Solve the system of equations shown below.
Answers
Answer:
(6, 4 )
Step-by-step explanation:
Given the 2 equations
2x - 6y = - 12 → (1)
x + 2y = 14 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate x
- 2x - 4y = - 28 → (3)
Add (1) and (3) term by term to eliminate x
- 10y = - 40 ( divide both sides by - 10 )
y = 4
Substitute y = 4 into either of the 2 equations and solve for x
Substituting into (1)
2x - 6(4) = - 12
2x - 24 = - 12 ( add 24 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
solution is (6, 4 )
Help me please! I’ll give brainliest
Answers
Answer:
200-150 equals 50
Answer:
50 N
Step-by-step explanation:
It is 50 N because person A is pushing with 200 N, and person B is pushing with 150 N. But they are both pushing at the same time. But since person A is pushing with more force with 200 N than person B with 150 N, that only leaves 50 N. So basically person A is pushing with 50 N.
please whats the answer to 8 - 14s + 3g
Answers
Answer:
8 - 14s + 3g
Step-by-step explanation:
None of the terms are like terms so it cannot be simplified
8 is a constant
-14 and 3 are coefficients
s and g are variables
━━━━━━━☆☆━━━━━━━
▹ Answer
8 - 14s + 3g
▹ Step-by-Step Explanation
Since we can't combine like terms, the answer will remain the same as the problem:
8 - 14s + 3g
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
What effect will replacing x with (x - 4) have on the graph of the equation y = (x - 3) ^ 2 ?
a. slides the graph 7 units down
b. slides the graph 4 units up
c. slides the graph 1 unit right
d. slides the graph 4 units right
Answers
Answer:
d. slides the graph 4 units right
Step-by-step explanation:
When you replace x with x - h, the graph shifts h units horizontally.
Here, the replacement is x - 4.
Compare x - 4 to x - h.
h = 4
The shift is 4 units right.
Answer: d. slides the graph 4 units right
if a hexagonal prism has a volume of 539 cubic meters and is 16 meters tall, find the area of the hexagonal base
Base Area= ___ m^2
Answers
9514 1404 393
Answer:
33 11/16 m² = 33.6875 m²
Step-by-step explanation:
The volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the height. Solving for B, we find ...
B = V/h
B = (539 m³)/(16 m) = 33 11/16 m² = 33.6875 m²
All even numbers are
Answers
Answer:
2 4 6 8 10 12 14 16.....................................................
Answer:
even numbers are
Step-by-step explanation:
2,4,6,8,10,12,14,16,18,20,24,26 and so on
please mark me brainliest I will follow youevaluate 15.2% of a 726 + 12.8% of 673
Answers
Answer:
196.496
Step-by-step explanation:
0.152x726+0.128x673
110.352+86.144
=196.496
Question 5 of 5
Select the correct answer.
Which of these tables represents a function?
Answers
Answer:
the answer is w
Step-by-step explanation:
the answer to that question is w
Answer: y
Step-by-step explanation:
there can not be two of the same number in the x row
Solve the system of linear equations by graphing.
9x + 3y = -3
2x - y = -4
Answers
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( -Screen Shot 1 is for (A) and Screen Shot 2 is for (B) - )
A) [tex]9x + 3y = -3[/tex]
= [tex]y = -3x -1[/tex]
Xmin: -10
Xmax: 10
Ymin: -10
Ymax: 10
~~~~~~~~
B) [tex]2x - y = -4[/tex]
= [tex]y = 2x + 4[/tex]
Xmin: -10
Xmax: 10
Ymin: -10
Ymax: 10
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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If this helped you, could you maybe give brainliest..?
Also Have a great day/night!
❀*May*❀
Answer:
y= -3x-1 and y=2x+4
Step-by-step explanation:
1. Rearrange the equations to the proper format which would be y=mx+b.
2. You can do this by adding or subtracting on both sides
- start with the first equation. subtract 9x on both sides.
- than divide 3 on both sides
- next equation subtract 2x on both sides
- divide -1 on both sides
which would get you y=-1-3x and y= 4+2x.
3. reagrange this equation again ( this step isn't always necessary)
you will get y= -3x-1 and y=2x+4
Remember M stand for the slope so your slopes for these two equations would be -3/1 and 2/1. Think about rise over run when you use slope. B is the y-intercept which means it will touch the y-axis.
Hope this helped!
When a new cellphone is put on the market, the demand each month can be described by the function C of t is equal to negative square root of the quantity t squared plus 4 times t minus 12 end quantity plus 3 where C (t) represents the demand of the cellphone (measured in millions of people) and the time, t, is measured in months. Which of the following solution(s) are valid for a positive demand? (7, 0) and (3, 0) (–6, 3) and (2, 3) (6, 3) (2, 3)
Answers
Answer:
(2, 3)
Step-by-step explanation:
Answer:
It is (2,3)
Step-by-step explanation:
What is 41.095 rounded to 1,2 and 3 significant figures
Answers
Answer:
Step-by-step explanation:
Rounded to 1 sig fig, the number is 40; rounded to 2 sig fig's, the number is 41; rounded to 3, the number is 41.1
A bag contains 2
2
blue marbles, 2
2
red marbles, and 2
2
yellow marbles.
If Jenna randomly draws a marble from the bag (and puts it back) 15
15
times, how many times should she expect to pull a yellow marble?
Answers
Answer:
5 times
Step-by-step explanation:
Jenna wil most likely pull a yellow marble 1/3 of the time, because the total number of marbles is 6, and there are 2 yellow marbles, 2/6 which is 1/3. 1/3 times 15 is 5. So Jenna will most likely pull a yellow marble 5 times.
A boat goes 24 miles at a constant speed in 4 hours against a river current. It takes the boat 3 hours to go the same distance at the same speed with the current of the river. What is the speed of the boat and what is the current of the river?
Boat speed: Speed of Current:
Answers
Answer: 7 miles/h and 1 miles/h
Step-by-step explanation:
With the speed of current = x + 1
Against the speed of current = x - 1
ATQ
4(x-1) = 3(x+1)
4x-4 = 3x+3
4x - 3x = 3+4
x = 7
Speed of boat = 7miles/h
Current of river = 1 miles/h
please click thanks and mark brainliest if you like :)
Answer:
Hello,
Boat speed=7 miles/h
Current speed = 1 mile/h
Step-by-step explanation:
I am going to try to explain.
Let say V the speed of the boot (V like vitesse in french)
Let say v the speed of the current.
distance=24 miles
[tex]\left\{\begin{array}{ccc}V-v&=&\dfrac{24}{4} \\V+v&=&\dfrac{24}{3} \\\end{array}\right.\\\\\left\{\begin{array}{ccc}V-v&=&6 \\V+v&=&8 \\\end{array}\right.\\\\Adding\ the\ 2\ equations\ and\ substracting\ them \\\\\\\left\{\begin{array}{ccc}2V&=&14 \\2v&=&2 \\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}V&=&7 \\v&=&1 \\\end{array}\right.\\\\[/tex]
Boat speed=7 miles/h
Current speed = 1 mile/h
The table shows the annual profits (in thousands of dollars) of a county fair from 2013 to 2016. What must the 2017 profit be (in hundreds of dollars) to break even over the five-year period?
Answers
Answer:
8 hundred dollars
Step-by-step explanation:
The break even value means zero profit or loss over the five years period. So if 2017 profit is x, then we get:
2.5 + 1.4 - 3.3 - 1.4 + x = 0x - 0.8 = 0x = 0.8 thousands of dollars x= 800 dollarsfind the value of X in X-X³=17
Answers
Answer:
Step-by-step explanation:
Step1: find the interval of roots. Consider -3 and -2
[tex]f(-3) = -7 <0[/tex]
[tex]f(-2) = 18 >0[/tex]
Hence, the root must be on [-3,-2]
Step2: consider the middle point -2.5
[tex]f(-2.5) = 3.875 >0[/tex]
Then, the root must be on [-3, -2.5]
Step 3: Repeat step 2 by finding the value of f at the middle point -2.75
[tex]f(-2.75) = -1.0468 <0[/tex]
Step 3: Repeat step 2 by finding the value of f at the middle point of the interval [-2.75,-2.5] which is -2.625
[tex]f(-2.625) = 1.537 >0[/tex]
Step4: Repeat step 2 on [-2.75, -2.625]
Repeat step 2 until you got the root which is -2.701
Solve the equation below for y. 6x – 3y = 36 A. y = 2x − 12 B. y = 12 − 2x C. y = 12x + 6 D. y = 6 – 12x
Answers
Answer:
y=-12+2x
Step-by-step explanation:
The equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.
Hence, the correct answer is A. y = 2x - 12.
Given is an equation 6x - 3y = 36, we need to solve for y.
To solve the equation 6x - 3y = 36 for y, we need to isolate y on one side of the equation.
Here's the step-by-step process:
Start with the given equation: 6x - 3y = 36
Get rid of the constant term (36) on the right side by subtracting 36 from both sides:
6x - 3y - 36 = 36 - 36
6x - 3y = 0
Divide both sides of the equation by -3 to isolate y:
(6x - 3y) / -3 = 0 / -3
(6x)/(-3) - (3y)/(-3) = 0
-2x + y = 0
Add 2x to both sides to isolate y:
-2x + y + 2x = 0 + 2x
y = 2x
So, the equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.
Hence, the correct answer is A. y = 2x - 12.
Learn more about Equations click;
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Th sum of a number and two is equal to eight
The equation?
Answers
Answer:
2+n = 8
Step-by-step explanation:
2+ something must equal 8.
8 minus 2 = 6
n=6
Answer:
Let the number be n.
According to question,
2+ n =8
=) n = 8-2
=) n =6
hope you understand.
9. Find cos X. Put the fraction in simplest form.
50
X
Z
30
40
Answers
Answer:
3/5
Step-by-step explanation:
cos X = Adjacent/Hypotenuse
cos X = 30/50
= 3/5
Answer:
Answer 3/5
Step-by-step explanation:
cos(X)=XY/XZ=30/50=3/5
What is the slope of the line given by the equation y = 4x? Enter your answer as an integer or fraction in lowest terms.
Answers
Answer:
slope = 4
Step-by-step explanation:
recall that for a linear equation in the form:
y = mx + b,
m = slope of line and b is the y-intercept.
In our case, we are given
y = 4x
If we compare this with the general equation above,
we can see that m = 6 and b = 0
hence slope = m = 4
To make a net from a container, you start by cutting one of the seams along the edge where the two sides meet. If you wanted to make a different net for the container, what would you do differently?
Answers
Answer:
I would not separate the same edges when making a second net. Also, I would make sure that the result cannot be rotated or flipped so that it is the same as the first.
Step-by-step explanation:
Which of the following equations are equivalent? Select three options.
2+ X=5
Ox+1=4
9+ X= 6
X+(-4)= 7
-5+X=-2
Answers
Answer:
A, B, E
Step-by-step explanation:
Solve all equations for x. The equivalent equations are the equations that have the same solution.
A 2 + x = 5; x = 3
B x + 1 = 4; x = 3
C 9 + x = 6; x = -3
D x + (-4) = 7; x = 11
E -5 + x = -2; x = 3
Equivalent equations: A, B, E
Un cultivo de bacterias crece y se duplica cada dos horas .¿Cu`antas veces mas grande sera el numero de bacterias en 12 horas?El numero inicial es X. Expresa usando potencias ayuda profis es para hoy ; )
Answers
Responder:
64 visitas
Explicación paso a paso:
Dado lo siguiente:
Número inicial de bacterias = x
Tasa de crecimiento = se duplica cada dos horas
¿Cuántas veces mayor será la cantidad de bacterias en 12 horas?
La cantidad de veces (n) en las que la cantidad de bacterias se duplica:
n = 12 horas / período de tasa de crecimiento
n = 12/2 = 6
Eso significa que el crecimiento de bacterias se duplicará 6 veces en 12 horas.
Por lo tanto, la cantidad de bacterias después de 12 horas será:
Después del 1er período = x * 2 = 2x
2do período = 2 ^ 2 * x = 4x
Después de n período
= 2 ^ n * x
Después de 6 períodos:
2 ^ 6 * x = 64x
Número de veces que las bacterias serán mayores en 12 horas:
Inicial = final
x = 64x
Comparando ambos
Las bacterias serán 64 veces más grandes después de 12 horas.
An isosceles triangle has a vertex angle of 26°. Two sides of the triangle are each 15 ft long. Find the area of the triangle. A. 9.931 sq ft B. 98.629 sq ft C. 45.543 sq ft D. 49.314 sq ft
Answers
Answer:
D. 49.314 ft²
Step-by-step explanation:
Area = 1/2 s² sinФ
= 1/2 * 15² * sin(26)
= 49.314 ft²
Rohan is 2 years elder than rohit. Five years ago , one third of his age was equal to three-sevenths of rohit's age. Clalculate their present ages. pl tell with explanation
Answers
Answer:
I hope it will help you.
have a great day . ☺☺
Answer:
Step-by-step explanation:
Let Rohan age = xLet Rohit age =yx = y + 2
(1/3)* (x - 5 ) = (3/7)(y - 5) Multiply both sides by 3
(x - 5) = 9/7 (y -5) Multiply both sides by 7
7(x - 5) = 9(y - 5) Remove the brackets
7x - 35 = 9y - 45 Add 45 to both sides
7x + 10 = 9y
y = x - 2
7x + 10 = 9(x - 2)
7x + 10 = 9x - 18
7x +10 + 18 = 9x
28 = 2x
x = 14
y = 14 -2
y = 12
The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum.
Answers
B
Step-by-step explanation:
Might be wrong
SAVINGS ACCOUNT Demetrius deposits $120 into his account. One week later, he withdraws $36. Write an addition expression to represent this situation. How much higher or lower is the amount in his account after these two transactions?
Answers
Answer:
+$120 - $36
Higher by $84
Step-by-step explanation:
Addition expression is an equation without the equals to sign
$120 - $36
When the first expression was made, the account was higher by $120
After the second transaction, the account would be higher by $120 - $36 = $84
Can someone help pls it’s a multiple choice question
Answers
Explanation:
You want to borrow three rock CDs from your friend. She loves math puzzles and she always makes you solve one before you can borrow her stuff. Here’s the puzzle: Before you borrow three CDs, she will have 39 CDs. She will have half as many country CDs as rock CDs, and one-fourth as many soundtracks as country CDs. How many of each type of CD does she have after you borrow three rock CDs?
Answers
interesting puzzle,
total CDs=[tex]39[/tex]
country CDs $c$ is half of rock CDs $r$, $r=2c$
and one fourth of soundtrack $s$ as country CDs , $c=4s$
express in common variable s, $r+c+s=39$
$2(4s)+4s+s=39 \implies s=3$
so $c=12$ and $r=24$
after borrowing 3 rock CDs, there be $21$ rock CDs rest will be same
The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10
Find d when v=70
Answers
Answer:
d = 245Step-by-step explanation:
d is directly proportional to the square of a speed v
d = av²
5 = a•10²
5 = 100a
a = 0.05
d = 0.05v²
d = 0.05•70²
d = 0.05•4900
d = 245