Write a quadratic equation for a parabola with roots at (-2, 0) & (4,0) and a y-intercept at ( 0, -16) Write your answer in factored form

Answers

Answer 1

9514 1404 393

Answer:

  y = 2(x +2)(x -4)

Step-by-step explanation:

The y-intercept will be a constant times the product of the roots. Here, the product of the roots is (-2)(4) = -8, so the constant of interest is -16/-8 = 2. That constant is the coefficient of the leading term of the quadratic, so is a multiplier of the factored form.

  y = 2(x +2)(x -4)

__

For root p, (x-p) is a factor in the factored form.


Related Questions

Match the symbol with its corresponding category.

Answers

Answer:

N-Natural

R-Real

Z-integer

Q-rational

Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.

If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?

Answers

16.25 should be your answer

Answer:

3.25

Step-by-step explanation:

Find the perimeter and area of this shape

Answers

[tex] \boxed{ \sf{Area \: = 57 \: {cm}^{2} }}[/tex]

[tex] \boxed{ \sf{Perimeter = 34 \: cm}}[/tex]

See workings in the attached picture !

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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0.00002004 and 0.01203000 in scientific notation

Answers

Answer:

Below...

Step-by-step explanation:

Scientific Notation:

2.004 × 10-5

Scientific Notation:

1.203 × 10-2

if u work it out then i will give lots of brinilets (pls show workings out)
:P

Answers

Answer: The winning order is:

Spike

Boris

Percival.

Step-by-step explanation:

We can write the number of steps that each one did as linear relationships of the form:

y = a*x + b

where:

a represents the slope, in this case, is the velocity of each kid.

x represents the time

b represents the steep at which each one starts.

We know that the race is completed with 99 steps.

Now, we know that in one unit of time (we do not know how long this is, and this does not matter).

Boris can run 5 steps in one unit of time

Spike can run 4 steps in one unit of time

Percival can run 3 steps in one unit of time.

Now let's write the equations for each one.

B(x) will be Boris's equation, we know that he starts from the bottom, then his equation is:

B(x) = 5*x + 0

B(x) = 5*x

Now we can find the number x needed to reach the 99 step, this is:

B(x) = 99 = 5*x

99/5 = x = 19.8

Boris needs 19.8 units of time to finish the race.

S(x) will be the equation for Spike, we know that he starts 21 steps up, then his equation is:

S(x) = 4*x + 21

Let's find the value of x such that S(x) = 99

S(x) = 99 = 4*x + 21

99 - 21 = 4*x

78 = 4*x

78/4 = x = 19.5

So Spike needs 19.5 units of time to finish the race, so he needs less time than Boris, this means that he finishes before Boris.

P(x) is the equation for Percival, we know that he starts 38 steps up, then his equation is:

P(x) = 3*x + 38

Again, we want to find the value of x such that P(x) = 99

P(x) = 99 = 3*x + 39

99 - 38 = 3*x

61 = 3*x

61/3 = x = 20.33

So Percival needs 20.33 units of time to finish the race, he is the one that needs more time, so he will be the last one to finish.

The winning order is:

Spike

Boris

Percival.

please help me prove the identity​

Answers

Answer:

[tex]\frac{1-\tan x }{1+\cot x}[/tex]

Step-by-step explanation:

Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:

1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given

2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]

3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]

4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]

5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.

6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.

7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]

9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result

The image of the point (1, -3)(1,−3) under a translation is (-4, -2)(−4,−2). Find the coordinates of the image of the point (-3, 7)(−3,7) under the same translation.

Answers

Answer:

The new points under the translation are (-8,8) and (-8,8)

Step-by-step explanation:

The method is actually quite simple and only involves basic arithmetic. The first step is to identify the translations occurring to each coordinate. If we recall that an ordered pair is (x,y), we can assign the translations to each value. Let's take the first point (1, -3) to start. 1 is our x and -3 is our y. If we then look at the translated point we can see that the x value there is -4. Then we can simply subtract the new x value, -4, from the first one, 1, and get 5. 5 is the number that we have to subtract from the next coordinate set to get the translated set. This gets us the first value of the second point -8 which we got by subtracting our 5 from the -3 in the x. Next, we can do the y value. The process is identical. Subtract the new from the old, -3-(-2)=-1. We then simply subtract the negative one (or just add one) from the y value of the other set. This gives us a value of 8, 7-(-1)=8. Then compound the two together putting x first then y and there you have it! Happy to help, Mw  

Determine whether the triangles are similar.

Answers

similar it is just 3 times bigger but similar

Laws of indices

a) b^4 x b^5

b) x^6 devided by x

c) 5x^2 x 3x^4

d) 21c^8 devided by 7c^7

Answers

Answer:

a) b^4×b^5

hope it helps..,

The eggs of a certain insect hatched after heavy rain. The population of these insects can be modeled by the expression 192 times (2)^x-5.

Answers

Answer:

someone answer this pls

Step-by-step explanation:

Solve for x
7x = 2
Give your answer as a fraction in its simplest form​

Answers

Answer:

2/7

Step-by-step explanation:

7x/7=2/7

Simplify:Cancel terms that are both the numerator and denominator

Solution: 2/7

10
9
8
7
6
6 5
5
4
3
2
2
1
х
0 1 2 3 4 5 6 7 8 9 10

Answers

Answer: 3/5

Step-by-step explanation:

[tex]\frac{6-3}{5-0}=\boxed{\frac{3}{5}}[/tex]

1.) Subtract unlike fractions using the butterfly method.
.
WIN
-
1
6
-
1/4
O 1/2
O 1/3
O 1/5

Answers

Answer:

1/2

Step-by-step explanation:

So we multiply 2 by 6, and get 12.

Then we multiply 1 by 3, and get 3.

Next we give both terms new denominators

So now our fractions look like this:

12/18-3/18

Since our denominators match, we can subtract the numerators.

12 − 3 = 9

So the answer is:

9/18

So we reduce it:

9/18divided by 3=3/6

so since it’s equivalent we reduce it again

3/6divided by 3 which equals 1/2

and that’s our final answer 1/2

I hoped that this helps :)

PLS HELP ITS TIMED..

Answers

Answer:

1. The judge should set a reasonable bail

2. All women

Step-by-step explanation:

Answer:

11. C. Maria should be allowed to call witnesses to support her innocence.

12. C. All women

Step-by-step explanation:

11. If she's pleading not guilty then she should have the right to get a witness.

12. This is the 19th amendment that granted women the right to vote.

Help me please if you get it right brainless for you ^-^

Answers

Answer:

C

Step-by-step explanation:

I read it.

Answer:

Step-by-step explanation:

To increase Readers' interest.

Explanation: The similarity in this excerpt is that, The sun's disappearance after sunset is similar to the way an object disappears near a black hole.

You have two identical boxes which an interior dimensions of 8.0x8.0x8.0. You completely fill one of the boxes with wooden spheres that are 1.6 in diameter. The other box gets filled with wooden cubes that are 1.6 cm on each edge. After putting the lid on the filled boxes, you then measure the density of each. Which one is more dense?

Answers

Answer: The one filled with wooden cubes.

Step-by-step explanation:

First, the box filled with spheres will have empty space, this is for how spheres are, so independent of the radius of the sphere, we will always have some empty space inside the box.

In the case of the cubes, this does not happen. Furthermore, the dimension of the box are 8cm by 8cm by 8cm, and the cubes have a sidelength of 1.6cm

We know that:

1.6cm*5 = 8cm

Then we can perfectly fill the box with the wooden cubes (such that there is no empty space like in the previous case).

Because this box has no empty space and is filled with the same material as the other box, we can conclude that this box will have a larger mass than the one filled with spheres.

And we know that:

density = mass/volume.

Both boxes have the same volume, but the box with cubes has a larger mass, then the box with cubes will have a larger density.

What is 5884 diveded by 94?

Answers

Answer:

62.5957447

Step-by-step explanation:

= 62 R 56

= 62 56/94

= 62 28/47

Answer:

The answer is 62.6

Step-by-step explanation:

The volume of a cylinder whose radius is 2r cm and height h/4cm is______________

Answers

Answer:

V=πrh/2

Step-by-step explanation:

volume of a cylinder can be calculated using below formula

V=πr2h

Given:

radius =2r cm

height= h/4cm

If we substitute the given value into the formula we have πrh/2

V= π ×(2r) ×(h/4)

Simplyfying

V=πrh/2

Hence, The volume of a cylinder is V=πrh/2

How many kilometers are there in 4 miles?

Hint: 1 mi ≈ 1.6 km

Round your answer to the nearest tenth.

Answers

There are 6.4 Kilometers in 4 miles

Use an informal argument to find the value of a


PLEASE ANSWER FAST!!!

Answers

45 + a = 180 [ linear pair ]
a = 180 - 45
a = 135

What is the greatest common factor (GCF) of 20 and 28​???
A. 6
B. 4
C. 2

Answers

Answer:

B, 4

Step-by-step explanation:

The greatest common factor of 20 and 28 is 4

MMMM THE MODERATORS ARE MAKING ME FLIPPING ANGRY! I NEED SOMEONE TO ANSWER MY QUESTION PLEASE .

Answers

Answer:

780

Step-by-step explanation:

So 5% is 39 so 5% x 20 is 100% do the same with the 39 so do

39 x 20 = 780

What is the distance from (6,0) to (8,0)?

Answers

Answer:

The distance should be 10 I believe

what is y=3/4x-2 in standard form

Answers

Answer:

Hi! The correct answer is 3x-4y=8

Step-by-step explanation:

Y + 2 = -3/4 ( x +1 )

Answers

Answer:

Step-by-step explanation:

Evaluate f(x)=−7x−5 when x=−6.

f(−6)=

Answers

The answer would be 37 because you multiply -7(-6) and get 42 and the you subtract 5 and get 37 as your final answer

Answer:

f(_6) = _7(_6)_5

=42_5

=37

A piano has 88 keys. Fifty-two of the keys are white.
How many more white keys are there than black keys?

Answers

Answer:

36

Step-by-step explanation:

88 - 52

=36

The expression is equivalent to which integer? 2(-57 divided by 3) + 20^2 - 5

Answers

Answer:

The answer is 357

Step-by-step explanation:

What is 1/2x(4+6x3)-9?

Answers

Answer:

Answer is 2

Step-by-step explanation:

Answer:

1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.

Please help <3
Not sure about this lol-

Answers

Answer:

C) 20

Step-by-step explanation:

3^4−21/3

Convert the exponent to a number

=81−21/3

Subtract

=60/3

Simplify

=20

It's always okay if your not sure about something

keep on trying :D

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