Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c

Answers

Answer 1
f(x)=-4(x-3)^2+16

first, simply each term

4x^2-24x+36+16

then add 36 to 16

4x^2-24x+52

Related Questions

Solve for x
Enter the solutions from least to greatest.
(x – 7)(-4x − 2) = 0
lesser x =
greater x =

Answers

Answer:

X= -1/2   X= 7

Answer:

lesser x= -5   Greater X= 5

Step-by-step explanation:

−x  

2

−8

−x  

2

 

x  

2

 

​  

 

=−33

=−25

=25

​  

 

Hint #22 / 3

Now we can take the square root of both sides, not forgetting to take both the positive and negative roots of the right-hand side:

\begin{aligned} \sqrt{x^2}&=\sqrt{25} \\\\ x&=\pm 5 \end{aligned}  

x  

2

 

​  

 

x

​  

 

=  

25

​  

 

=±5

​  

 

Hint #33 / 3

In conclusion,

\begin{aligned} \text{lesser }x &= -5 \\\\ \text{greater } x &= 5 \end{aligned}  

lesser x

greater x

​  

 

=−5

=5

Which operation would you use to solve for x in the equation 3x = 15?

Answers

Answer:

Division

Step-by-step explanation:

3x = 3 times x so, you must do the opposite of multiplication to get rid of the 3, which is division.

The solution of the equation with a single variable  3x = 15 will be 5.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3x = 15

Divide the equation by 3 into both sides, then we have

3x / 3 = 15 / 3

x = 5

The solution of the equation with a single variable  3x = 15 will be 5.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Which of the following expressions is equivalent to the one below? 3x + 6y


A.
6(2x + y)
B.
6x + 3y
C.
3(x + 2y)
D.
9(x + y)

Answers

it would be c. 3(x+2y)

A line passes through the point (10, -1) and has a slope of 3/2 .

Write an equation in slope-intercept form for this line.

Answers

Answer:

y=3/2x-16

Step-by-step explanation:

The equation of the line passing from points (10, -1) is y = 3x/2 - 16.

What is equation of a line?

A straight line's equation is a mathematical formula that describes the relationship between the coordinate locations along the line. It conveys the slope, x-intercept, and y-intercept of the line and can be expressed in a variety of ways. Y = mx + c and axe + by = c are the two versions of the equation of a straight line that are most frequently employed.

Given slope = 3/2 and points (10, -1)

equation of line is given by y = mx + c

m = 3/2

y = 3/2x + c

substitute points,

-1 = 10*3/2 + c

c = -16

equation of line is y = 3x/2 - 16

Hence the equation is y = 3x/2 - 16.

Learn more about equation of a line;

https://brainly.com/question/21511618

#SPJ2

In science class, Polly learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Polly wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year?

Answers

Answer:

They make 4 approximately tons of oxygen each year.

Step-by-step explanation:

( 250lbs × 32 ) ÷ 2000 = 4t

250 pounds because each tree makes about 250 pounds of oxygen a year.

× 32 because there are 32 trees, so they'll make 32 times more oxygen than one tree.

÷ 2000 because before that everything was in pounds, and the question asks about tons. There are 2000 pounds in a ton, so you divide by 2000 to get the answer, which is 4 tons.

If the original quantity is 10 and the new quantity is 15​, what is the percent​ increase?

Answers

50% increase. Have a good day.

Given the value of the original quantity and the value of the new quantity, the percentage increase is 50%.

What is percent​ increase?

Percentincrease is aimply the amount of increase from the initial value to the new value in terms of 100 parts of the initial value.

It is expressed as;

C = ((x₂ - x₁) / x₁)100%

Where x₁ is initial value and x₂ is new value

Given the data in the question;

Initial value x₁ = 10New value x₂ = 15Percentage increase C = ?

We substitute the given values into the expression above.

C = ((x₂ - x₁) / x₁)100%

C = ((15 - 10) / 10)100%

C = (5/10)100%

C = 0.5 × 100%

C = 50%

Therefore, given the value of the original quantity and the value of the new quantity, the percentage increase is 50%.

Learn more about Percentages here: brainly.com/question/24159063

#SPJ2

I WILL MARK BRAINLIST

Answers

Answer:

The answer is D

Step-by-step explanation:

Fred can paint a 30-foot fence in 5 hours. Which of the following is true?

Answers

Answer:

lol

Step-by-step explanation:

C
Kris is cutting ribbon that each measure 2 ft
long. If Kris is cutting from a piece that measures
8zft
, how many pieces can Kris cut?

Answers

Answer:

4

Step-by-step explanation:

because 2+2+2+2=8 pretty self explanatory

Answer:

13

Step-by-step explanation:

enter decimal numbers in the boxes to complete the order pair that locates point Q on the coordinate plane

Answers

Q would equal (1.5,-1.5)

Answer:

(1.5,-1.5)

Step-by-step explanation:

Hope this helps you

the least common multiple of 14 and 22

Answers

Answer:

Least Common Multiple (LCM) of 14 and 22 is 154.

Answer:

Least Common Multiple (LCM) of 14 and 22 is 154.

Let a=(-7,3) and b=(-2,-12), and c=a+b. What is the magnitude and direction angle of c?

A. |c|=18; theta=135°
B. |c|=18; theta=225°
C. |c|=9sqrt2; theta=135°
D. |c|=9sqrt2; theta=225°

Answers

Answer:

D is correct

Step-by-step explanation:

I got it right on my edge math unit test review.

The value of |c| = 9√2 and θ = 225⁰

What is Magnitude?

The magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind.

Here, given values;

a = (-7, 3)  and b = (-2, -12)

Now, c = a + b

        c = (-7, 3) + (-2, -12)

        c = (-9, -9)

Now, |c| = √(9²+9²)

         |c| = 9√2

Now, tan θ = |y/x|

        tan θ = |-9/-9|

       tan θ = 1

       tan θ = tan 225⁰

         θ = 225⁰

Thus, the value of |c| = 9√2 and θ = 225⁰

Learn more about Magnitude from:

https://brainly.com/question/15681399

#SPJ2

17) A dog kennel charges $40 per night for boarding
and $5 for walking your dog.
a) Write an equation in standard form that models the
possible combinations if you plan to spend $200.
b) Graph the equation using x and y intercepts.
I
11
10
5
1 3 4 5 6 7 8 9 10 11 12 13
c) List all combinations that can be used.

Answers

Answer:

c

Step-by-step explanation:

A fair six-sided die is rolled. Find the probability of getting a 4.​

Answers

Answer:

A fair six-sized die is rolled. Find the probability of getting at least a 4.

There are 6 outcomes and three of them are 4, 5 or 6, so the probability of greater than or equal to 4 is 3/6=½.

what is the value of the digit in the tens place? 6,423​

Answers

Answer: 20 :)

Step-by-step explanation:

The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages per minute. Complete this sentence: The rate for Printer B is (a) ____________ the rate for Printer A because the rate of 25 pages per minute is (b) _____________ the rate of (c) __________ pages per minute for Printer A.

Answers

Answer:

a equal to c 25 b greater than

Step-by-step explanation:

Answer:

As per graph the rate of Printer A is 15 pages per minute.

Missing words are:

(a) greater than(b) greater than(c) 15

The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.

4 hours worked for $12; 7 hrs worked for $28 are the pair of ratios equal?

Answers

Answer:

no they're not equal

Step-by-step explanation:

you can find the ratio by dividing 12/4 and 28/7. 12/4 = 3 and 28/7 = 4. 3 and 4 are not equal, so no.

Answer:

No, the pair of ratios are not equal

Explanation:

To see if the ratios are equal, we have to simplify the both of them. For the first one, it’s 12/4. That is equivalent to 3/1. This means she gets $3 for every hour. Now to the next one. The ratio is 28/7 and simplify that into 4/1. That means he gets $4 each hour. So they are different meaning the pair of ratios are not equal. Good luck on your test! Have a good day.

What is the REMAINDER of 15,908 divided by 13?

Answers

The remainder is 9........

Answer: 1223 and the remainder is 9

Step-by-step explanation:

Solving systems of linear equations algbraically. ​

Answers

Answer:

(3,-6)

Step-by-step explanation:

  [1]    x - 2y = 15

  [2]    2x + 4y = -18

Graphic Representation of the Equations :

   -2y + x = 15        4y + 2x = -18  

 

Solve by Substitution :

// Solve equation [1] for the variable  x

 [1]    x = 2y + 15

// Plug this in for variable  x  in equation [2]

  [2]    2•(2y+15) + 4y = -18

  [2]    8y = -48

// Solve equation [2] for the variable  y

  [2]    8y = - 48

  [2]    y = - 6

// By now we know this much :

   x = 2y+15

   y = -6

// Use the  y  value to solve for  x

   x = 2(-6)+15 = 3

Solution :

{x,y} = {3,-6}

Michael threw a baseball 17.6 meters. His older brother, Kyle, threw a baseball 3.5 times farther than Michael. How far did Kyle throw the baseball?

Answers

Answer: 61.6

Step-by-step explanation:

17.6 X 3.5 = 61.6

Answer:

Kyle threw the baseball 61.6 meters

Step-by-step explanation:

You multiply 17.6 by 3.5 which results in 61.6

A rocket is launched from a tower. The height of the rocket , y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.

Y=-16x^2+147x+118

Answers

Answer:  Max height = 455.6 feet

========================================================

Explanation:

The general equation

y = ax^2 + bx + c

has the vertex (h,k) such that

h = -b/(2a)

In this case, a = -16 and b = 147. This means,

h = -b/(2a)

h = -147/(2*(-16))

h = 4.59375

The x coordinate of the vertex is x = 4.59375

Plug this into the original equation to find the y coordinate of the vertex.

y = -16x^2+147x+118

y = -16(4.59375)^2+147(4.59375)+118

y = 455.640625

The vertex is located at (h,k) = (4.59375, 455.640625)

The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet

Find PM pls help fast​

Answers

Answer:

I think it is 4 but, im not sure

pleaseeeeeeeeeeeeeeeeee helpppppppppppppppppp

Answers

Answer:

Option c is the answer

Step-by-step explanation:

3/5 = 0.6

2 divided by 0.6 = 3.3333333

3.33333 = 10/3

10/3 = 3 1/3

Hope this helps :)

Answer:

3 1/3 or 3, depending on if he can play a fraction of a match

Step-by-step explanation:

The question is asking us how many times 3/5 can go into the whole number 2. to find this we can multiply the denominator of the fraction (5) by the whole number we are trying to get with the fraction (2), and this results in 10. if we put this over the denominator, we get 10/5, which results in 2. to find how many times 3/5 can go into 10/5, we will divide 10/5 by 3/5. this results in 3 and 1/3. so he can play 3 1/3 matches.

HELP ME ASAP

graph f(x)=3x+4 and h(x)=f(x+3)

Answers

sorry if it’s the wrong answer

The standard form for expressing the equation of a straight line is

y = mx + b

Given the functions from the question f(x)  = 3x + 4

If h(x) = f(x+3)

Replace x with x+3 in the function f(x) to have;

h(x) = 3(x+3) + 4

h(x) = 3x + 9 + 4

h(x) = 3x + 13

Hence the required graph for both functions are attached below;

Learn more here: https://brainly.com/question/17003809

Hadley paddled a canoe 2 miles in 1/9 of
an hour How far could Hadley paddle in
1 hour?

Answers

Answer: 18 miles

explanation: set up a proportion. (2 over 1/9 = x over 1). cross multiply, 2x1=2, then divide 2/(1/9)=18.

What is the annual interest for a principal of $3,500 at a simple annual interest
rate of 2.3%?

Answers

Answer:

Step-by-step explanation:

Given principal p =$3500

Time t =1 year

Rate of interest r =2.3%

So annual interest=p×r×t/100

=3500×2×2.3/100

=7000×2.3/100

=16100/100

=161.

So annual interest is $161

Find the area of a triangle with base of 4 and height of 3x-5

Answers

Answer:

Area of a triangle is 1/2B x H

In this case, BH = 0.5(3x-5)·4x

A = 4/2 · (3x²-5x)

Manny rolls a number cube labeled 1-6 and spins a spinner with four equal sections, labeled 1, 2, 3, and 4. If both numbers are odd, he wins. Otherwise, Gabriel wins. Use a list to find the sample space. Then find the probability that Gabriel wins.
a.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
b.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
c.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
d.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;

Answers

Answer:

b

Step-by-step explanation:

Answer:

b.

1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;

Step-by-step explanation:

IT'S B

In a direct variation, y= -1/6 when x=4/3. Write a direct variation equation that shows the relationship between x and y.

Please answer ASAP!

Answers

Answer: y = 3x

Step-by-step explanation: For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

What is the slope of the line?

Answers

if you attatch a picture i can help. or message or even write out the points
Other Questions
You guys are life savers but does anyone know the answers to these questions? Im so confused rn If l is parallel to m, solve for x and y. write the equation in slope-intercept form. y - 2 = 6 (x + 1) You have understood that inverse function is a function that reverses anotherfunction. In life, if it so happens that you have done some mistakes, you can onlycorrect it and not reverse it. But if you would be given a chance to reverse onething in your life, what would it be and why? 3 and 4 plz help me im nice Drag each statement to the correct location on the chart.Classify the events as being a cause or an effect of pollution.urbanizationoil spillsmogdesertificationdeforestationleaky landfillcontaminated water =:)All substances taking part in a certain interaction are shown below:Carbonate = Calcium Oxide + Carbon DioxideCalcium Oxide equals: 112 GCarbon Dioxide equals: 88 GWhich of the following is the correct estimate of the amount of calcium carbonate used in the interaction?A. Sum of 112 g and 88 gB. Difference between 112 g and 88 gC. Twice the sum of 112 g and 88 gD. Twice the difference between 112 g and 88 gany help is much appreciated Find the ratio between 450 ml and 1l. Is this sentence written correctly? If not how would you write it.Compro la camisa y una corbata. identify an equation in slope-intercept form the line parallel to y=-3x+7that passes through (2,-4) PLEASE HELP!!!Which expression is equivalent to 4sin^2(x) - 8sin^2(x/2) A plumber charges $55 for a house visit plus $25 for every hour he spends working. Which equation could be used to find t, the total cost of a house visit that lasted h hours ? What additional information could be used to prove that the triangles are congruent using AAS or ASA? Select three options. AngleB AngleP and BC PQ AngleA AngleT and AC = TQ = 3.2cm AngleA AngleT and AngleB AngleP AngleA AngleT and BC PQ AC = TQ = 3.2 cm and CB = QP = 2.2 cm The table below represents the number of hours a student worked and the amount of money the student earned. What is the initial amount this student is paid? (Base pay, when number of hours, h = 0) ILL PAY YOU 30 DOLLARS IN CASHAPP RIGHT NOW WHEN YOU DO IT! Function A hasThe equation of line AisFunction B hasTwo different linear functions are shown below with twopoints given from each function Use slope intercept formor point slope form to find the equation of eachLinear Function APoints (-5,-2), (5,7)Linear Function BPoints(7,5).(-2,5)The equation of line Bis what is the solution of lack of knowledge PLS HELP NEEDED TODAY What is the slope m in the equation y = -2x + 5 i will brainlest this don't answer if out the real answe thank youYou will repost if you take my point this is not free comment if you have a question Pleas help me its Spanish 2