Which polynomial function could be represented by the graph below?
On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 3), and goes through (4, 0).
Answers
Answer:
f(x) = 3(x - 3)^2 - 3Step-by-step explanation:
Let the base function be
f(x) = ax^2It has the vertex at (3, -3), so it is translated 3 units right and 3 units down:
f(x) = a(x - 3)^2 - 3It has zero's at (2, 0) and (4, 0)
Substitute and solve for a:
a(x - 3)^2 - 3 = 0a(2 - 3)^2 = 3a = 3or
a(4 - 3)^2 - 3 = 0a = 3So the function is:
f(x) = 3(x - 3)^2 - 3See the attached
Answer:
f(x) = 3x2 – 18x + 24
Step-by-step explanation:
just took the test
Related Questions
The first one ^
What is the vertex for the quadratic
y = 2(x-3)^2 - 4? Type as (h.k)
Answers
Answer:
(3,-4)
Step-by-step explanation:
You can find the vertex where x = -b/2a
To find the values of a and b, it would be easier to write the equation in standard form, which is y = ax^2 + bx + c
y = 2(x^2 - 6x + 9) - 4
y = 2x^2 - 12x + 18 - 4
y = 2x^2 - 12x + 14
In this equation, a = 2 and b = -12.
So let's plug that into x=-b/2a
x = -(-12)/2(2)
x = 12/4
x = 3
Now we have the x, we can just plug that into the original equation and get the y coordinate for the vertex.
y = 2(x - 3)^2 - 4
y = 2(3 - 3)^2 - 4
y = -4
Segments that intersect at 90° angles are called _____
Answers
Answer:
Perpendicular segments
Step-by-step explanation:
There are 1,240 skittles in a bag, 25% are blue, .22 are red, 1/3 yellow and 1/5 are purple. Which color is least likely to be picked?
Answers
Step-by-step explanation:
[tex] \frac{1}{3} = 0.3333...[/tex]
[tex] \frac{1}{ 5} = 0.2[/tex]
[tex]25\% = 0.25[/tex]
0.22=0.22
[tex]0.2 < 0.22 < 0.25 < 0.33...[/tex]
0.2 (1/5)/ purple is the least likely.
Convert the following decimal to a fraction.
2.48
Answers
2.48= 2 + 0.48
For the decimal component, 0.48, 0.48 is the same as 48/100:
48/100
Find the Greatest Common Factor (GCF) of
48, 100:
4
Divide both the numerator and the denominator by the GCF:
48 divided by 4/ 100 divided by 4
Simplify:
12/25
Combine the whole number component with the fraction:
2 12/25
explain why 1/6 + 1/3= 1/2
Answers
Answer:
1/6+2/6=3/6
1/2
Step-by-step explanation:
Answer:
1/6+ 1/3= 1/2
Step-by-step explanation:
first find the LCM of the denominator
LCM of 6&3 = 6
1+2/6 = 3/6
reduce to the lowest fraction
3/6 = 1/2
Evaluate each expression:
1. (-1) x 2 x 3
2. (-1) x (-2) x 3
3. (-1) x (-2) x (-3)
Need Answer for all the expressions.
Answers
1. 6
2. 6
3. 6
The answers all look different but they all have the same answer
add 1/5 add 2/7 plz help
Answers
Answer:
17/35
Step-by-step explanation:
Answer:
17/35
Step-by-step explanation:
Math-way
Autumn invested $69,000 in an account paying an interest rate of 6 3/8% compounded continuously. Jayden invested $69,000 in an account paying an interest rate of 6 1/4% compounded quarterly. After 14 years, how much more money would Autumn have in her account than Jayden, to the nearest dollar?
Answers
Answer:
4,038.21
Step-by-step explanation:
I'm going to assume that when you write 6 3/8% that equals 51/8%=6.375%
To find the value in the first equation we have
69000*e^(.06375*14)=168,444.5313
The second equation is as follows
69000(1+(.0625/4))^(14*4)=164,406.3243
Subtract the two and get 4,038.2071
(a) Write 7.12% as a decimal.
(b) Write 0.019 as a percentage.
PLS HELP ME PLSS
Answers
Answer:
7.12 percent is .0712
and for .019 it's 1.9 percent
Which number line represents the solution set for the inequality - 1x24?
+
-10
-8
-6
-4
-2.
0
+
4
+
6
2.
+
8
10
+
+
-10
-8
-6
-4
+
0
+
4
-2
+
8
2
co
10
+
-10
+
-8
--6
-4
-2
0
2
4
6
8
10
+
-10
--8
-6
-4
-2.
O
2
4
6
8
10
Answers
Answer:
the second one is the answer
A right cone has a slant height of 17 feet, and the diameter of the base is 30 feet. What is the height, h, of the cone?
I WILL MARK BRANILEST
Answers
Answer:
8
Step-by-step explanation:
Answer:
Its 8 100%
Step-by-step explanation:
Edit: OK its right here is the The work And no I didn't copy
The inequality graphed below represents the ages, a, of players on a baseball team.
Answers
Deana made a scale drawing of her patio using a scale of 1/2 cm =1 foot what is the actual width, in feet, of deanas patio
Answers
Full question attached
Answer and explanation:
Given that 1/2cm= 1 foot
5cm= 2×5=10 feet
Length is twice the width, therefore real length of shape = 10×2=20 feet
Perimeter is sum of all sides= 20 feet+20 feet+10 feet+10 feet = 60 feet
Therefore Deana's Patio= 60 feet in real length
Answer:
60
Step-by-step explanation:
In her proof, Ensley wrote the formula Va + b = c? Which of the following explains why her formula
is incorrect?
A. The sum of the square of a and the square of b should be equal to the square root of c.
B. The square root of the sum of a and b should be equal to the square root of c.
C.The sum of the square of a and the square of b should be equal to the square of c.
D.The sum of the square root of a and the square root of b should be equal to the square of c
Answers
Answer:
C. a^2 + b^2 = c^2
Step-by-step explanation:
Darius deposits $600 into a simple interest rate after a year the account balance will be $615 what is the interest rate?
Answers
Answer:
2.5%Step-by-step explanation:
Deposit = $600Time = 1 yearBalance after a year = $615Interest amount is:
$615 - $600 = $15Interest rate is:
15/600*100% = 2.5%Answer: the guy above me is right its 2.5%
Step-by-step explanation: 15/600 = 2.5/10
what is y = 5/3x + 2
Answers
Answer:
Solving for x : x = 3y/5 - 6/5. Solving for y : y= 5x/3 +2
Step-by-step explanation:
Solving for x: Solve for x by simplifying both sides of the equation, then isolating the variable.
Solving for y: Combine 5/3 and x.
You didn't say which one to solve for so I put out both for you.
Hoped this helped!
Brainly, Please?
Find the simple interest earned on a deposit of $2,800 that earns 2% annual interest after 5 years.
$28,000
$28,000
$30,080
$30,080
$2,420
$2,420
$280
Answers
For the function f(x)={−x+3,x>02x+3,x≤0, what is the average rate of change over the interval 1 ≤ x ≤ 3?
Answers
Answer:
3432
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
Evaluate x2 when x =5
Answers
Answer:
10
Step-by-step explanation:
If x=5 then
Plug in the x
(5)2 then multiply
(5)2=10
What is the sum of 25% of 2018 and 2018% of 25?
Answers
Answer:
1009
Step-by-step explanation:
0,25 x 2018 = 504,5
20,18 x 25 = 504,5
504,5 + 504,5 = 1009
Answer:
1,009
Step-by-step explanation:
[tex] \frac{25}{100} \times 2018 = 504.5[/tex]
[tex] \frac{2018}{100} \times 25 = 504.5[/tex]
[tex]504.5 + 504.5 = 1009[/tex]
hope it helps you ☺️
1) the volume of right circular cone is 9856cm² . if the diameter of the base is 28cm , find height of cone .
Answers
please answer, no need for explanation:)
Answers
For question a)
A race car can travel at a speed of 3.4 x 10^2 miles/hour. The Speed of Sound is approximately 7.6 × 10^2 miles/hour. How many times faster is the Speed of Sound than the Bullet Train?
Answers
Answer:
The speed of sound is 2.23 times of the speed of race car
Step-by-step explanation:
Given that,
The speed of a race car = [tex]3.4\times 10^2\ mi/h[/tex]
The speed of sound = [tex]7.6\times 10^2\ mi/h[/tex]
Dividing the speed of sound to the speed of a race car. So,[tex]\dfrac{\text{speed of sound}}{\text{speed of race car}}=\dfrac{7.6\times 10^2}{3.4\times 10^2}\\\\\dfrac{\text{speed of sound}}{\text{speed of race car}}=2.23[/tex]
So, the speed of sound is 2.23 times of the speed of race car.
Write an expression for 57 less than j
Answers
Answer:
Step-by-step explanation:
j-50
Jerome is a dietician who tracks his daily caloric intake from different sources of nutrients. Here are summary statistics for his daily values: Let T represent the total calories from fat, protein, and carbohydrates that Jerome consumes on a randomly chosen day. Find the standard deviation of T
Answers
Answer:
It can not be determined from the information given because the calorie sources are not independent.
Step-by-step explanation:
Explained in answer above.
There is no enough information to calculate the standard deviation of T.
Check below on how to determine the standard deviation
What is standard deviation?The standard deviation of a dataset is how much the data elements of the dataset are far from the mean or average value of the dataset
The given parameters are the mean and the standard deviations of calories from fat, protein, and carbohydrates
These values are not enough to determine the standard deviation of T
Hence, there is no enough information to calculate the required standard deviation
Read more about standard deviation at:
https://brainly.com/question/15858152.
#SPJ2
which equation matches the graph of the greatest integer fiction giving below? a p e x
Answers
Answer:
A P E X < CS
Step-by-step explanation:
simple
3x-5/6=1/6 what does x=?
Answers
Answer:
x = 2
Step-by-step explanation:
[tex]\frac{3x-5}{6} = \frac{1}{6} \\[/tex]
In order to solve this, you must get the denominator off of the left-hand side of the equation, by multiplying 6 on each side, in order to get the denominators to cancel. This leaves you with:
[tex]3x-5 = 6/6\\3x-5 = 1[/tex]
Then, you add 5 to each side.
[tex]3x = 6[/tex]
Divide by 3, to get x by itself.
[tex]x = 2[/tex]
Which gets us to our final answer of x = 2.
Then, you can plug x back into the equation just to double-check yourself:
[tex]\frac{3(2)-5}{6} = \frac{1}{6} \\\\\frac{6-5}{6} = \frac{1}{6}\\\\\frac{1}{6} = \frac{1}{6}[/tex]
I hope that this helped you understand to concept a little better. Good luck.
If the cost of 4 pears and 2 peaches equals $1.00 and the cost of 2 pears and 3 peaches equals $0.70 how much does each pear and each peach cost
Answers
Answer:
20 p per pear 10p per peach
Step-by-step explanation:
Hope this helps
Answer:
1 pear costs 20 cents. 1 peach costs 10 cents.
Step-by-step explanation:
x represents pears
y represents peaches
4x + 2y = 1
2x + 3y = 0.7
multiply the second equation by -2 to elimate the x variable
(2x +3y = 0.7) -2 = -4x - 6y = -1.4
add the new equation to the first original one:
4x + 2y = 1
-4x - 6y = -1.4
-4y = -0.4. divide both sides by -4, y = 0.10
plug in y = 10, solve algebraically and get x = 0.20
Lastly, check your work:
4(0.20) + 2(0.10) = 1
2(0.20) + 3(0.10) = 0.7
What is the value of x that makes this figure correct? *
Answers
Answer:
8
Step-by-step explanation:
Opposite angles are equal so
4x+12=44
4x=32
x=8
Which three side lengths best describe the triangle in the diagram?
Answers
Answer:
D
Step-by-step explanation:
the hypotenuse is 10 cm one leg is 8 cm and the other leg is 6 cm