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

Kinsey purchased a bushel of large apples that weigh about 48 pounds.the bushel contains 96 apples what is the weight of one apple

Answers

Each with half a pound.

Answer:

o8uhdoularsdjgv

Step-by-step explanation:

if a scale drawing of a car is 3 inches and the real car is 15 feet what is the scale and scale factor

Answers

Step-by-step explanation:

Given parameters:

Scale drawing of the car  = 3 inches

Real car  = 15feet

Unknown:

Scale  = ?

Scale factor  = ?

Solution:

The scale is the ratio of the model dimension to the real-life representation.

 In this problem, express both quantities in the same unit;

          1 foot  = 12 inches

         15 feet  = 15  x 12  = 180inches

 Scale;

               drawing of the car : Real car

                      3 inches   :      180 inches

 Scale 1 inches on drawing is 60inches in real life

Scale factor;

               [tex]\frac{real life dimension}{drawing dimension}[/tex]   = [tex]\frac{60 inches }{1inches }[/tex]   = 60

The scale factor = 60


Use additive inverses and their properties to find the equivalent expressions.
6-(-3)
-6+(-3)
-6-(-3)
OOO
- 6+3
-6-3
6+(-3)
6-3
6+3

Answers

Answer:

-6+(-3) boom that the answer

The function f(x) = -3/4x^2 +9/2x models, in feet, the shape of a doorway arch on a historic building. How high is the
opening of the arch?
6.75 feet
3 feet
6 feet
7.25 feet

Answers

Is has to be 7.25 feet.

he triangles shown are congruent by the SSS congruence theorem.

3 rigid transformations are shown. Triangle A B C is first rotated about point C to form triangle A prime B prime C. Triangle A prime B prime C is then shifted down to form triangle A double-prime B double-prime C prime. Triangle A double-prime B double-prime C prime is reflected across A double-prime B double-prime to form triangle A double-prime B double-prime C double-prime

The diagram shows the sequence of three rigid transformations used to map TriangleABC onto TriangleA"B"C". What is the sequence of the transformations?

rotation, then reflection, then translation
rotation, then translation, then reflection
translation, then reflection, then rotation
translation, then rotation, then reflection

Answers

Answer:

the answer is b

Step-by-step explanation:

i just took the test

Answer:

The answer is b

Step-by-step explanation:

edge 2020

• Which factors do 3 and 9 have in common? Choose ALL that apply.
1
2
3
4
5
6
7
8
9
10

Answers

Answer:

3 and 9 both have factors 1 and 3 in common.

Explanation:

A factor is a number that divides into another number exactly and without leaving a remainder. For instance, factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored). For example, 12 can be factored as 1×12, 2×6, or 3×4.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer as 'Brainliest.' Have a wonderful day.

3 and 9 are the only ones that are in common for both 3 and 9

In the model for exponential growth or decay, the amount, or size, at t=0 is represented by __ the amount, or size, at time t is represented by __

Answers

1. A0 (small 0)
2.A0^ekt

In the model for exponential growth or decay, the amount, or size, at t=0 is represented by  [tex]N=N_{0}[/tex]. and at time t is represented by [tex]N=N_{0}e^{kt}[/tex]

Let us consider that [tex]N_{0}[/tex]  is the initial amount and N is represent that amount after growth or decay in time t .

Model for exponential growth or decay is,

                                 [tex]N=N_{0}e^{kt}[/tex]

Amount at t=0 is,

                             [tex]N=N_{0}e^{k*0}=N_{0}[/tex]

Learn more:

https://brainly.com/question/12626186

Write the slope-intercept form of the equation of each line.

example:

m= ( answer )
b= (answer )
equation= (answer)

Answers

Answer:

1) 2/5

2) 2

3) 0,1

4)-2,0

5)-1

6)1,-2

7)1,0

8) 3,-1

How many solutions exist for the system or equations graphed below

Answers

Answer:

One

Step-by-step explanation:

The solutions to a system of equations are where the lines intersect. This system will only ever intersect once, therefore there is only one solution. You can see the solution at the top right.

The number of solutions that exists for the given system of equations is one.

What does a System of Linear Equations define?

Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.

System of linear equations involve two or more linear equations.

Given a graph of a system of equations.

The graph consists of two lines. So they are linear functions.

A system of linear equations can have one or infinitely many solutions and no solutions at all.

Solution of a system is the intersection point of the graph.

Here there is only one intersection point.

Hence the number of solutions is 1.

Learn more about System of Equations here :

https://brainly.com/question/30054947

#SPJ7

PLEASE HELP!!

The graph shows the cost C in dollars of W points of blueberries. Select ALL the true statements.

A. 1 pound of blueberries cost $2.75

B. 2.75 pounds of blueberries cost $1

C. 5 pounds of blueberries cost $15.30

D. 12 pounds of blueberries cost $33

E. The point (3,9) is on the graph of the proportional relationship

Answers

Answer:

A and D

Step-by-step explanation:

20 less than the sum of eight and a number?

Answers

Answer:

(8 + x) - 20

Step-by-step explanation:

Answer:

The answer is (8 + x) - 20

Step-by-step explanation:

Transformations of functions PLS HELP

Answers

Answer:

B. y = f(x-4)

Step-by-step explanation:

If n = 13, then P(t > 2.2) < 0.025
True or false

Answers

Answer:

true

Step-by-step explanation:


Pls help I need it with right answers

Answers

four because if each bag holds 8 buns and he needs 30, 8 multiplied by 4 is 32

helpppp! I dont know what to do. Im not very good with slopes LOL.

Answers

Answer:

A= 14

B= -6

C= 2/5

D= 4/3

E= -2

F= 12

Step-by-step explanation:

-3(2m+4)=4(5/4-m/2)
whats is the solution to the equation?

Answers

Answer:

m=−  ​4/17

also use this site called cymath.com thats were i get my answers it works it out for you too :)

Step-by-step explanation:

1 Expand.

-6m-12=5-2m−6m−12=5−2m

2 Add 6m6m to both sides.

-12=5-2m+6m−12=5−2m+6m

3 Simplify  5-2m+6m5−2m+6m  to  5+4m5+4m.

-12=5+4m−12=5+4m

4 Subtract 55 from both sides.

-12-5=4m−12−5=4m

5 Simplify  -12-5−12−5  to  -17−17.

-17=4m−17=4m

6 Divide both sides by 44.

-\frac{17}{4}=m−

​4

​17

​​ =m

7 Switch sides.

m=-\frac{17}{4}m=−

​4

​17

​​  

I will give brainliest :)

True or False:

A solid dot on a number line graph indicates that the
given number is included as a possible solution to the
inequality

• True?
• False?

Answers

Answer:

True

Step-by-step explanation:

If it's a open dot it can't be a possible solution. Solid dots can be a possible solution.

True because it can’t be possible problem

Plz help what the answer

Answers

y = -3x + 2 hope this helped you have a good day!

Find a​ point-slope equation of the line having the given slope and containing the given point.
m=−6​; ​(6​,4​)

Answers

Answer:

[tex]\boxed {y - 4 = -6(x - 6)}[/tex]

Step-by-step explanation:

Since you already have the given slope and the given point, use the Point-Slope Formula to make it a Point-Slope Form:

[tex]y - y_{1} = m(x - x_{1})[/tex]

Slope: [tex]m[/tex]

First Point: [tex](x_{1}, y_{1})[/tex]

-Substitute both the given slope and the given point:

Slope: [tex]-6[/tex]

First Point: [tex](6,4)[/tex]

[tex]\boxed {y - 4 = -6(x - 6)}[/tex] (Substituted in Point-Slope Form)

Answer:

y-4 = -6(x-6)

Step-by-step explanation:

Pre-SolvingGiven

We are given that a line has a slope of -6 and a point of (6, 4).

We want to find the equation of this line in point-slope form.

Formulas

Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point.

Solving

Substitute the value of m (which is -6) into the formula for point-slope form.

[tex]y-y_1=-6(x-x_1)[/tex]

Now, substitute 6 and 4 as [tex]x_1[/tex] and [tex]y_1[/tex] respectively.

[tex]y-4=-6(x-6)[/tex]

A train travels at 45 mph for 3 h and then increases its speed to 55 mph for 2 more hours. How far does the train travel in the 5-hour period

Answers

Answer:

245miles

Step-by-step explanation:

Step one:

given that the first 3 hours the train travels at a speed of 45 mph.

i.e Time = 3 hours

    speed =45 mph

    distance=?

we know that speed = distance/time

distance= speed*time

distance= 45*3

distance=135miles

Step two:

For the nex two hours it travels at 55 mph

i.e time= 2hours

   speed= 55mph

  distance=?

distance= speed*time

distance= 2*55

 distance= 110mile

Step three:

Hence for a total of 5 hours drive, the total distance covered is

135+110= 245miles

5 x 4000 step by step for khan

Answers

Answer:

Step-by-step explanation:

5×4000

=20,000 answer

spel
Which approach provides technical and financial assistance for natural resource management?
The
-based approach provides technical and financial assistance for natural resource management
Phzjs

Answers

Answer:

Ecosystem

Step-by-step explanation:

edmentium <3

The slope of a line that passes through (-2,5) and (1. 7) in simplest form is

Answers

i think it’s -2.8

hope this helps :)

A deep ocean trench is 30,000 feet deep How deep is that in miles? Round your answer to two decimal places. (There are 5,280 feet in a mile.)

Answers

If a mile =5,208 ft that means you need to divide 30,000÷5,280 to get your answer!

Step-by-step explanation:

30,000÷5,280= 5.68mil

1m/5,280ft = xm/30,000
solve for x miles
x = 5.68 miles

The Los Angeles area experiences many earthquakes. In 1994, the Northridge earthquake measured 6.7 on the Richter scale. In 2014, Los Angeles experienced an earthquake that measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.

Answers

Answer:

[tex]I_1=40I_2[/tex]

Step-by-step explanation:

[tex]M_1[/tex] = Magnitude of 1994 earthquake = 6.7

[tex]M_2[/tex] = Magnitude of 2014 earthquake = 5.1

[tex]I_1[/tex] = Intensity of 1994 earthquake

[tex]I_2[/tex] = Intensity of 2014 earthquake

[tex]I_0[/tex] = Zero-level earthquake the same distance from the epicenter = 0.001 mm

Magnitude is given by

[tex]M_1=\log(\dfrac{I_1}{I_0})\\\Rightarrow I_010^{M_1}=I_1\\\Rightarrow I_1=I_010^{6.7}[/tex]

[tex]M_2=\log(\dfrac{I_2}{I_0})\\\Rightarrow I_010^{M_2}=I_2\\\Rightarrow I_2=I_010^{5.1}[/tex]

Dividing the above intensities with each other we get

[tex]\dfrac{I_1}{I_2}=\dfrac{I_010^{6.7}}{I_010^{5.1}}\\\Rightarrow \dfrac{I_1}{I_2}=39.81\approx 40\\\Rightarrow I_1=40I_2[/tex]

The intensity of the earthquake in 1994 was 40 times stronger than the earthquake in 2014.

Simplify the given expression. 2(-36-3i)+(5+2i)(12-2i)

Answers

Answer:

-8+8i

Step-by-step explanation:

(-72-6i) + (60-10i+24i-4i^2)

(-72-6i) + (60+14i+4)

-72+64+8i

-8+8i

What is the slope of a line that passes through the points (0, 1) and (2, 6)?

please answer fast as can

Answers

Answer:

[tex]\boxed {\boxed {\sf m=\frac{5}{2}}}[/tex]

Step-by-step explanation:

The slope formula is the change in y over the change in x, or:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁,y₁) and (x₂, y₂) are the points the line passes through.

The points given are (0,1) and (2,6). Therefore:

[tex]x_1=0\\y_1=1\\x_2=2\\y_2=6[/tex]

Substitute the values into the formula.

[tex]m=\frac{6-1}{2-0}[/tex]

Solve the numerator.

[tex]m=\frac{5}{2-0}[/tex]

Solve the denominator.

[tex]m=\frac{5}{2}[/tex]

This fraction can not be simplified further, so it is our answer.

The slope of the line is 5/2

Answer:

m=5/2

Step-by-step explanation:

We know that,

[tex]Slope\ (m)=\frac{Rise}{Run}\\Slope\ (m)=\frac{y_2-y_1}{x_2-x_1} \\As here,\\x_1=0, x_2=2\\y_1=1, y_2=6\\Hence,\\Slope(m)\ of\ the\ following\ line\ =\frac{6-1}{2} =2.5[/tex]

Find the slope of the line that passes
through these two points.

Answers

Answer:

1/5

Step-by-step explanation:

[tex]\frac{2-1}{3--2} = \frac{1}{5}[/tex]

Answer: 1/5

Step-by-step explanation: Following our hint,

let's start with the slope formula.

m = y₂ - y₁ / x₂ - x₁

We take the second y minus the first y over the second x minus the first x.

So we have m = 2 - 1 / 3 - (-2) or 1 / 5.

So our slope is 1/5.

If a function is defined by the formula y=1/2x + 3 and its domain is given by the set {-4,0,8}, then which of the following sets gives the function's range?

Answers

Answer:

y = {1, 3, 7}

Step-by-step explanation:

Given

y = ½x + 3

Domain: {-4, 0, 8}

Required

Determine the range of the function

To do this, we simply substitute each value of the domain in the given expression

We start with the first

Substitute -4 for x in y = ½x + 3

y = ½ * -4 + 3

y = -2 + 3

y = 1

Then 0

Substitute 0 for x in y = ½x + 3

y = ½ * 0 + 3

y = 0 + 3

y = 3

Lastly, 8

Substitute 8 for x in y = ½x + 3

y = ½ * 8 + 3

y = 4 + 3

y = 7

Hence, the range of the function is:

y = {1, 3, 7}

Answer:1,3,7

Step-by-step explanation:

Find the amount to be paid at the end of eight years that is equivalent to a payment of $400 now and a payment of $300 at the end of four years
(a) if 6% simple interest is earned from the date each payment is made and use a comparison date of right now.
(b) if 6% simple interest is earned from the date each payment is made and use a comparison date of eight years from now.
(c) Explain why the fact you get different answers in parts (a) and (b) does not contradict the fact that equations of value at different times are equiv- alent equations.
(d) Repeat parts (a) and (b) except replace "simple interest" with "compound interest."

Answers

Answer:

A) $964

B) $651.35

C)  The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time

D)  $1016.28 ,  $637.63

Step-by-step explanation:

lets assume the amount to be paid in eight years that is equivalent to payment of $400 now and a payment of $300 at the end of four ( 4 ) years ( FV )

a) since a 6% interest is earned each day of every payment

will use this formula : S = P( 1 + rt )

therefore  $400 paid today will a simple interest of = 400 * 0.06 * 8 = $192

$300 paid at the end of four years will earn a simple interest of = 300*0.06*4 = $72

hence FV = $ ( 400 + 192 ) + $ ( 300 + 72 ) = $964

b) when compared with eight years from now

PV = [tex]\frac{FV}{1+rt}[/tex]  = ($964) / ( 1 + (0.06*8) = $651.35

C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time

D) Repeating parts (a) and (b) using compound interest

using the formula : S = P( 1 + r )^t

therefore $400 paid today will have a compound interest of

= 400 ( 1.06)^8 = $637.54

$300 paid at the end of four years will earn a compound interest of

= 300 ( 1.06 ) ^4 = $378.74

hence FV = 637.54 + 378.74 = $1016.28

when compared with eight years from now

= [tex]\frac{FV}{(1+r)^t}[/tex]  = ( 1016.28 ) / ( 1.06 ) ^8    = $637.63

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