Answer:
y = 2 ( x − 1 ) ^ 2 + 2
Step-by-step explanation:
y = a ( x − h ) ^ 2 + k
where vertex is (h,k) = (1,2)
h=1, k=2
y = a ( x − 1 ) ^ 2 + 2
sub ( 3,10)
10 = a (3 - 1)^2 + 2
a=2
y = 2 ( x − 1 ) ^ 2 + 2
A function is a relationship between inputs where each input is related to exactly one output.
The quadratic function in vertex form is given by:
y = a(x - h)² + k
(h, k) = vertex
The quadratic function in vertex form is y = 2(x - 1)² + 2.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = x + 2 is a function.
We have,
Quadratic function in vertex form whose graph has the vertex (1,2) and passes through the point (3,10).
The quadratic function in vertex form is given by:
y = a(x - h)² + k
(h, k) = vertex
Now,
(h, k) = (1, 2)
Passes through (3, 10).
So,
10 = a(3 - 1)² + 2
10 = 4a + 2
8 = 4a
a = 2
Now,
The quadratic function in vertex form is y = 2(x - 1)² + 2
Thus,
The quadratic function in vertex form is y = 2(x - 1)² + 2.
Learn more about functions here:
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Look at point w,x,y,and z on the number line
Answer:
u need toADD THE PITRUE
Step-by-step explanation:
Question 1
If a coin is flipped 3 times, what is the probability that it will show all heads?
Create a tree diagram to help you answer this question.
O 1/8
O 3/8
O 1/2
1/4
Let t rep tail and h rep head
First tose= h or t
Second tose= h or t
Third tose= h or t
Counting the head and tail together
Then t= 3 and h=3
According to The formulae
3/6= 1/2
At a local hardware store, Ms. Jones learned that 1 would cost her $.50, 12 would cost $1.00, and the price of 144 would be $1.50. What was Ms. Jones buying?
Answer:
how the heck would I know what she's buying the question itself doesn't even state that
Please help!!
it says what I wrote is too short so
Answer:
50 cents The red on the right end.
Step-by-step explanation:
Let the chocolate chip cookies = x
Let the jumbo popcorn = y
Julie
y + 2x = 5
Marvin
y + 4x = 6 Subtract
-2x = - 1 The y's disappear. You are left with 1 dollar (negative). Divide by - 2
-2x/-2 = - 1 / -2
x = 1/2
x = 0.5 or 50c
Each cookie costs 50c
Can somebody help me?
solve using elimination method. show work -3×+4y=1 -4×+5y=-2
Answer:
Multiply the first equation by 4 and the second equation by -3:
-12x + 16y = 4
12x - 15y = -6
‣ Add the equations:
‣ Solve for y:
y = -2
‣ Substituting y = -2 into the first equation, we get:
-12x + 16 ⋅ (-2) = 4
‣ Solve for x:
x = -3
‣ Solution:
x = -3, y = -2)
DUDE SORRY My first answer wrong, I'm a bit tired but here you go
if p(x)=x*2-1 and q(x)=5(x-1),which expression is equivalent to (p-q)(x)?
Answer:
[tex](p - q)(x) = (x -1) (x - 4)[/tex]
Step-by-step explanation:
Given
[tex]p(x) = x^2 - 1[/tex]
[tex]q(x) = 5(x - 1)[/tex]
Required
(p - q)(x)
This is represented as:
[tex](p - q)(x) = p(x) - q(x)[/tex]
[tex](p - q)(x) = x^2 - 1 - 5(x - 1)[/tex]
[tex](p - q)(x) = x^2 - 1 - 5x + 5[/tex]
Collec like terms
[tex](p - q)(x) = x^2 - 5x + 5 - 1[/tex]
[tex](p - q)(x) = x^2 - 5x + 4[/tex]
Expand
[tex](p - q)(x) = x^2 -4x - x + 4[/tex]
Factorize
[tex](p - q)(x) = x(x -4) - 1(x - 4)[/tex]
[tex](p - q)(x) = (x -1) (x - 4)[/tex]
HELP QUICK PLZ
The cost to purchase a song from iTunes is $0.99 per song. To purchase from Napster, you must be a member. The Napster membership fee is $10, in addition to $0.89 per song. How many songs would need to be downloaded for the monthly price of Napster to be the same as iTunes?
Answer:
It will take
100 songs for the monthly price of Napster to cost the same as iTunes.
down the additive inverse of 4 by 7
Answer:
[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]
The additive inverse of 4/7 is -4/7.hopefully help:)
Step-by-step explanation:
#CarryOnLearningsolve each equation.
Answer:
1. D. 7, -13
2. A. no solution
3. C. 5, -9
Step-by-step explanation:
A regular computer screen has a area of A square inches. The width of the computer screen is 7 inches. Which equation represents x,length of the computer screen in inches.
Answer:
7 square inches hope this helps brainlest plzzz
Step-by-step explanation:
what is a turtle
[tex]2111[/tex]
can somebody help me?
Answer:
1, 2, and 3
Step-by-step explanation:
5x (-3)
A .The amount of money a snack bar earns for selling 3 sandwiches for $5 per sandwich
B.The temperature change as it decreases 5 degrees every hour for 3 hours
С. A child grew 3 inches each year for 5 years
D.The change in elevation of a submarine as thinks 3 meters every second for 5 seconds
Answer:
you're answer is negative 15
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26
What is the experimental probability that Jenny will pull out a purple tile? (5 points)
fraction 6 over 50
fraction 44 over 50
fraction 6 over 44
fraction 18 over 44
Answer:
Step-by-step explanation:
i am not sure do they give you a number of tiles
Answer:
A: 6/50
Step-by-step explanation:
i think
pleasee i need help pleaseeee help nowww
Answer:
t > 2.5
Step-by-step explanation:
Find two positive numbers such that their product is 180 and the sum of the first number squared plus twice times the second is a minimum.
Answer:
3 and 60
Step-by-step explanation:
3 × 60 = 180
180 = 180
3² + 2(60)
= 9 + 120
= 129 minimum
Which of the following is true for a circle that has an area of approximately 113 square feet?
a
The diameter is 6 feet and the circumference is 38 square feet.
b
The radius is 6 feet and the circumference is 38 square feet.
c
The diameter is 6 feet and the circumference is 38 feet.
d
The radius is 6 feet and the circumference is 38 feet.
Answer:
radius is 6, diameter is 12, circumference is 38
Step-by-step explanation:
The area of a circle hs the following formula:
A = π*r², where r is the circle radius (distance from center to edge of circle)
So, we have A = 113 = π*r²
Divide both sides by π: 113/π = r²
Approximately: 35.97 = r²
Square-root both sides: 5.997 = r
So, the radius is about 6 feet
The circumference of a circle has the following formula:
C = π * D, where D is the diameter of the circle (distance from one side of circle to opposite side, through the center)
But the length of a diameter is just that of two radiuses. (This is obvious when the 2 radii are collinear.)
Since r = 6 feet, D = 12 feet, and the circumference C = 12 * π = 37.699, about 38 feet.
*** So the radius is about 6 feet, the diameter is about 12 feet, and the circumference is about 38 feet,
It lloks like b and d are identical. Typo. maybe?
2. A coordinate grid is used to make a map of the park. The location of the drinking fountain is (-4, 2) ; the location of the bench is (0, 2) ; and the location of the center of the slide is (0, 5).
(a) What is the distance from the drinking fountain to the bench? What is the distance from the bench to the center of the slide? Explain your reasoning.
(b) What type of triangle is created by the three locations? Explain.
Answer:
(A) The distance from the drinking fountain to the bench is 4, and the distance from the bench to the center of the slide is 3 because if you add -4 and 0 you will get 4 and if you subtract 5 and 2 you will get 3.
(B) The type of triangle that is created is an obtuse triangle because when you connect the 3 locations it creates an obtuse triangle on the coordinate grid.
Step-by-step explanation:
I already explained in the answer. Hope this helps and gets you an 100%
:)
Answer:
4 units, 3 units
(b) Right-angled triangle
Step-by-step explanation:
5. Choose the likelihood of a probability of 50 percent.
Event: November 25th will fall on a Monday
Certain
Highly likely
Less likely
Impossible
Answer:
well, highly likely. it will always fall on a monday,
Step-by-step explanation:
if you look at all of the years it has fallen on since 2010 you will see it has always fallen on monday.
Triangle EFG undergoes a dilation centered at the origin. The result is triangle E'F'G'. Which rule describes the dilation?
A) (x, y) → (2x, 2y)
B) (x, y) → (4x, 4y)
C) (x, y) → ( 1 4 x, 1 4 y)
D) (x, y) → (−4x, −4y)
Thea answer B) (x, y) → (4x, 4y)
Answer:
B
Step-by-step explanation:
i took test
2. The sides of a triangle are in the ratio 3:7:10 and the perimeter is 80 inches.
What are the lengths of the sides of the triangle?
Can anyone help please ?
Step-by-step explanation:
3+7+10=20
80/20=4
1 ratio =4
3(4) : 7(4) : 10(4)
= 12 : 28 : 40
Is 2 a solution of 4z + 12 = 4? Complete the statement.
Answer:
No im pretty sure its not a solution.
Step-by-step explanation:
See if “z” is 2 than the answer to the solution would be 20
Answer:
The solution is -2
Step-by-step explanation:
4z + 12 = 4
Subtract 12 on each side (4z + 12 - 12 = 4 - 12)
4z = -8
Divide 4 on each side (4z / 4 = -8 / 4)
z = -2
Help me please......
Answer: 46
Step-by-step explanation:
Let the 3 consecutive even numbers be x, (x-2) and (x+2) respectively.
According to the question,
x + (x - 2) + (x + 2) = 132
or, x + x - 2 + x + 2 = 132
or, 3x = 132
or, x = 132 ÷ 3
or, x = 44
So, first even number = 44
Required third number = 44 + 2
= 46
what is dangerous about living for seven days on just one can of sardines?
Answer:
because you cant survive without enough food.
Step-by-step explanation:
HELP PLSSSSSSSI ASKING YOU ╰（‵□′）╯PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
graph the parabola. Identify the vertex.
y=-5x^2
choose the correct graph below.
Answer:-5x^2
Step-by-step explanation:
At Mountain Park Middle School, there are 250 seventh-grade students. Currently, 32% of those students are in
advanced math
a. Write an equation to represent the number of seventh-grade students who are not in advanced math. Leta
represent the number of seventh-grade students who are not in advanced math.
Equation to represent the number of seventh-grade students who are not in advanced math is A =250 - (250 x 0.32)
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that Mountain Park Middle School, there are 250 seventh-grade students.
Currently, 32% of those students are in advanced math, then;
Therefore, the number of seventh-grade students who are not in advanced math.
100%-32% = 68%
68% of 250
Equation would be;
A =250 - (250 x 0.32)
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The invitations to a holiday party cost a total of $31.50 if each invitation cost $0.75 cents how many invitations were sent out
Answer:
42
Step-by-step explanation:
divide the total by the cost of each invite
please help i dont get it
Answer:
i got y = 5x but not sure
Step-by-step explanation: