Write an equation for a quadratic function in factored form with
zeros at x = -4 and x = 0 that passes through the point (-3,6).

Answers

Answer 1

Answer:

[tex]f(x)=-2x(x+4)[/tex]

Step-by-step explanation:

We want to find the equation of a quadratic function in factored form with zeros at x = -4 and x = 0 that passes through the point (-3, 6).

The factored form of a quadratic is given by:

[tex]f(x)=a(x-p)(x-q)[/tex]

Where p and q are the zeros and a is the leading coefficient.

Since we have zeros at x = -4 and x = 0, let p = -4 and q = 0. Substitute:

[tex]f(x)=a(x-(-4))(x-0)[/tex]

Simplify:

[tex]f(x)=ax(x+4)[/tex]

And since we know that the function passes through the point (-3, 6), f(x) = 6 when x = -3. Thus:

[tex](6)=a(-3)(-3+4)[/tex]

Simplify:

[tex]6=a(-3)(1)[/tex]

Thus:

[tex]-3a=6\Rightarrow a=-2[/tex]

So, our quadratic function is:

[tex]f(x)=-2x(x+4)[/tex]


Related Questions

Set up a proportion to solve for x in the following similar triangles.

Answers

Answer:

C

Step-by-step explanation:

I took the quiz and it was C! Hope this helps :)

the letter v has an unknown value. If you multiply v by 16, the product is 4.what is the value of v?

Answers

Answer:

v = 0.25

Step-by-step explanation:

v = ?

v x 16 = 4 (given)

v = 4/16

v = 0.25

Checking:

[ 0.25 x 16 = 4]

Answer:

1/4 or 0.25 (as a decimal)

Step-by-step explanation:

We know that v has an unknown value.

When it is multiplied by 16, we would get the product.

Turn it into an equation:

16x = 4

Find x:

4 ÷ 16 = 0.25 or 1/4

Now we’ve find x:

16 x 1/4 = 4

Which is a true equation

So x equals 0.25 or 1/4 (as a fraction)

I’d recommend choose fraction bu whatever is up to you!

I need help with my math!!!

Answers

Answer:

[tex]y = |x+2|+1[/tex]

Step-by-step explanation:

4x+9/y+11=0 and 6/y -3x=8​

Answers

9514 1404 393

Answer:

  (x, y) = (-2 12/17, -51)

Step-by-step explanation:

Here is the answer to ...

  [tex]4x+\dfrac{9}{y}+11=0\\\\\dfrac{6}{y}-3x=8[/tex]

If you mean something else, then parentheses are needed.

__

Let z = 1/y. Then the equations in general form are ...

  [tex]4x+9z+11=0\\3x-6z+8=0[/tex]

The solution (cross multiplication method) is ...

  x = (9·8 -(-6)·11)/(4(-6)-3·9) = 138/-51 = -2 12/17

  z = (11·3 -8·4)/-51 = -1/51

  y = 1/z = -51

The solution is (x, y) = (-2 12/17, -51).

Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.

Answers

Remember PEMDAS, you have to simplify the exponent first.

URGENTT!!!! help quick please

Answers

The answer is going to be
X=20

What is the value of tan 0 in the unit circle below?

Answers

Answer:

1 / sqrt(3)

Step-by-step explanation:

tan(o) = sin(o) / cos(o)

sin(o) is the vertical distance from the x-axis. and that is in this basic circle the y-coordinate of the point.

cos(o) is the horizontal distance from the y-axis. that is the x-coordinate of the point.

so,

tan(o) = (1/2) / (sqrt(3)/2) = (2×1) / (2×sqrt(3)) = 1/sqrt(3)

Write each as a percent. Use proportions.
7/25
2/3
3/8

Answers

28%
66%
37.5%
thats the answer

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?

options are on the picture:)

Answers

Answer:-

The option B is the right answer.

Solution:-

[tex] \sf h = 2d = 2 \: • \: 2r = 4r[/tex]

[tex] \sf = \frac{1}{3} \pi {r}^{2} h[/tex]

[tex] \sf = \frac{1}{3} \pi {r}^{2} \: • \: 4r[/tex]

[tex] \sf = \frac{4}{3} \pi {r}^{3} \: \green✓ [/tex]

Find the area of circle Q in terms of x

Answers

Answer:

The answer is C 100πcm^3

7x-3=5x+9 solve for x​

Answers

Given :-

7x - 3 = 5x + 9

To Find :-

The value of x.

Solution :-

Taking the given equation ,

=> 7x -3 = 5x + 9

=> 7x - 5x = 9 + 3

=> 2x = 12

=> x = 12 ÷ 2

=> x = 6

Hence the required answer is 2 .

Plss answer the bottom question

Answers

Answer:

200

Step-by-step explanation:

250/100=2.5

2.5*80=200

So the answer is 200

X =54
This is a banging answer

Find the measure of the missing angle using exterior angle sum theorm

Answers

35 degrees.

Assuming 145 is the exterior angle, the interior is 35. 180-145=35
Add 110 to 35 and get 145 degrees. Which leads the remaining angle 35 degrees

Answer:

35

Step-by-step explanation:

The exterior sum theorem states the exterior angle is equal to the sum of the opposite interior angles

145 = ?+110

145 - 100 = ?

35 = ?

what most likely caused the man in the caravan to come to the farmhouse where elisa lived? a.he had lost his dog in the vast,open areas b.he needed to purchase supplies c.the country roads confused him d. he was looking for an adventure

Answers

Answer: A. He had lost his dog in the vast, open areas.

Step-by-step explanation:

The Chrysanthemums" is a story about a woman whose name was Elisa Allen. She was frustrated about her present condition as she didn't have a child and her husband didn't find her romantically pleasing.

In the book, the reason why the man in the caravan came to the farmhouse where Elisa stayed was because he had lost his dog in the vast, open areas.

Factor -1.8 out of 3.6b-9

Answers

Answer:   -1.8(-2b+5)

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

Explanation:

Consider something like 2b+6 factoring to 2(b+3). When we distribute that outer 2 back inside the parenthesis, we're multiplying that 2 by everything inside. Factoring goes in reverse of this and we divide each term of 2b+6 by the GCF 2.

The same thing applies to this current problem as well.

Divide each term by the -1.8 we want to factor out.

(3.6b)/(-1.8) = -2b(-9)/(-1.8) = 5

The results -2b and 5 will go inside the parenthesis. That's how we end up with -1.8(-2b+5)

You can use distribution to verify this

-1.8(-2b+5)

-1.8*(-2b) - 1.8*(5)

3.6b - 9

Barbara, a school superintendent, asks the local school board for permission to hire an additional teacher whenever the student enrollment at a certain grade level within a school increases by 35 students beyond capacity. This is an example of which type of decision

Answers

Answer:

Programmed

Step-by-step explanation:

Programmed Decisons may be classified as those actions which are routinely carried out or performed based on existing rules and protocol. In programmed decision making, the rules are in place, therefore once the criteria or requirement for which the rule or routine is to be enforced arises, programmed Decisons are made. In the scenario, the superintendent required that a programmed Decison be made in cases or situations where enrollment increases by 35 student beyond capacity, Hence, with this, every time this occurs the additional teachers will be hired.

a)if A×B ={(1,2),(2,3),(1,3),(2,2),(3,2),(3,3)} find i) set A ii) set B.​i need for exam

Answers

Answer:

soln,

set A ={ 1,2,3}

set B ={2,3}

Complete the similarity statement for the two triangles shown
40 m
15 m
30 m
25 m
>H
Enter your answer in the box
20 m
50 m
S
F
ACHS ~A

Answers

Answer:

TFY

Step-by-step explanation:

let's start with the 90 degrees angle.

this is C in the first, and T in the second triangle.

so, C and T must be aligned.

and the we go around.

F ~ H

and then

Y ~ S

Find the perimeter of ΔJKL. Round your answer to the nearest tenth if necessary

Answers

x = 42.5, so the perimeter is 117.5, hope this helps- if you could mark brainliest that’d be awesome thanks

Answer:

Step-by-step explanation:

as angles of two triangles are equal, so they are similar.

x/17 =35/14=40/16

x/17=35/14

x=35/14×17=85/2=42.5

perimeter of ΔJKL=40+35+42.5=117.5

pls help, i have class rn :(

in how many ways can alice distribute 12 apples to 3 children (a child can have no apples)

Answers

if the children could have the apples it would be 4 per each child but since u said no child can have apples don’t distribute them so 0?

What number should be subtracted from -3/4 to get 5/6?

Answers

Answer:

Let that rational number to be subtracted be x.Given,-5/​6 - x = 4/9= - x = 4/9+5/6= - x = 23/18x = - 23/18.

Step-by-step explanation:

identify the equation of the line graphed below

Answers

Its option (C)................

Find the solutions of the equation 3x = x4, rounded to two decimal places. (Enter your answers as a comma-separated list.)

Answers

Answer:[tex]-0.802; \ 1.517[/tex]

Step-by-step explanation:

Given

[tex]3^x=x^4[/tex]

Here, two functions are given that is [tex]y=3^x[/tex] and [tex]y=x^4[/tex]

Check for the intersection of the graph of two curves

From the graph, they cut at two different points  i.e. [tex]x=-0.802\ \text{and}\ x=1.517[/tex]

Rest two roots are negative.

A bag contains 6 apples and 4 oranges. If you select 5 pieces of fruit without
looking, how many ways can you get 5 apples?

Answers

Answer:

6 I think

Step-by-step explanation:

At the beginning of year 1, Matilda invests $450 at an annual simple interest rate of 5%. She makes no deposits to or withdrawals from the account. Which explicit formula can be used to find the account's balance at the beginning of year 15? What is the balance?

Answers

Answer:

$765

Step-by-step explanation:

[tex]interest \: = \frac{prt}{100} \\ = \frac{(450)(5)(14)}{100} \\ = 315 \\ total \: money \: = 315 + 450 \\ = 765[/tex]

A(n) = 450 + (n – 1)(0.05 • 450); $765.00

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm

Answers

Answer:

8 cm and 9 cm

Step-by-step explanation:

Hi there!

The sum of the lengths of two sides of a triangle must always be greater than the length of the third side.

5 cm and 8 cm ⇒ 5+8=13; not greater than 13

6 cm and 7 cm ⇒ 6+7=13; not greater than 13

7 cm and 2 cm ⇒ 7+2=9; not greater than 13

8 cm and 9 cm ⇒ 8+9=17; greater than 13

Therefore, the last set of two sides is possible for the lengths of the the other two sides of this triangle.

I hope this helps!

8cm and 9 cm because the sum of the two sides must be greater than 13.

5+8=13
6+7=13
7+2=9
8+9=17

What is the product?

Answers

21x^7y^11 ur welcome cuh

A man runs at the speed of 10 km/hr. How much time will he take to cover 2000 meters?

Answers

200 hours.

It’s 10km for every one hour
Divide 2000 by 10 and you will be left with the number of km for every one hour.

La potencia que se obtiene de elevar a un mismo exponente un numero racional y su opuesto es la misma verdadero o falso?

Answers

Answer:

Falso.

Step-by-step explanation:

Sea [tex]d = \frac{a}{b}[/tex] un número racional, donde [tex]a, b \in \mathbb{R}[/tex] y [tex]b \neq 0[/tex], su opuesto es un número real [tex]c = -\left(\frac{a}{b} \right)[/tex]. En el caso de elevarse a un exponente dado, hay que comprobar cinco casos:

(a) El exponente es cero.

(b) El exponente es un negativo impar.

(c) El exponente es un negativo par.

(d) El exponente es un positivo impar.

(e) El exponente es un positivo par.

(a) El exponente es cero:

Toda potencia elevada a la cero es igual a uno. En consecuencia, [tex]c = d = 1[/tex]. La proposición es verdadera.

(b) El exponente es un negativo impar:

Considérese las siguientes expresiones:

[tex]d' = d^{-n}[/tex] y [tex]c' = c^{-n}[/tex]

Al aplicar las definiciones anteriores y las operaciones del Álgebra de los números reales tenemos el siguiente desarrollo:

[tex]d' = \left(\frac{a}{b} \right)^{-n}[/tex] y [tex]c' = \left[-\left(\frac{a}{b} \right)\right]^{-n}[/tex]

[tex]d' = \left(\frac{a}{b} \right)^{(-1)\cdot n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{(-1)\cdot n}[/tex]

[tex]d' = \left[\left(\frac{a}{b} \right)^{-1}\right]^{n}[/tex]y [tex]c' = \left[(-1)^{-1}\cdot \left(\frac{a}{b} \right)^{-1}\right]^{n}[/tex]

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c = (-1)^{n}\cdot \left(\frac{b}{a} \right)^{n}[/tex]

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{b}{a} \right)\right]^{n}[/tex]

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left[-\left(\frac{b}{a} \right)\right]^{n}[/tex]

Si [tex]n[/tex] es impar, entonces:

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = - \left(\frac{b}{a} \right)^{n}[/tex]

Puesto que [tex]d' \neq c'[/tex], la proposición es falsa.

(c) El exponente es un negativo par.

Si [tex]n[/tex] es par, entonces:

[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left(\frac{b}{a} \right)^{n}[/tex]

Puesto que [tex]d' = c'[/tex], la proposición es verdadera.

(d) El exponente es un positivo impar.

Considérese las siguientes expresiones:

[tex]d' = d^{n}[/tex] y [tex]c' = c^{n}[/tex]

[tex]d' = \left(\frac{a}{b}\right)^{n}[/tex] y [tex]c' = \left[-\left(\frac{a}{b} \right)\right]^{n}[/tex]

[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{n}[/tex]

[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = (-1)^{n}\cdot \left(\frac{a}{b} \right)^{n}[/tex]

Si [tex]n[/tex] es impar, entonces:

[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = - \left(\frac{a}{b} \right)^{n}[/tex]

(e) El exponente es un positivo par.

Considérese las siguientes expresiones:

[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = \left(\frac{a}{b} \right)^{n}[/tex]

Si [tex]n[/tex] es par, entonces [tex]d' = c'[/tex] y la proposición es verdadera.

Por tanto, se concluye que es falso que toda potencia que se obtiene de elevar a un mismo exponente un número racional y su opuesto es la misma.

Is the discriminant of f positive, zero, or negative?

Answers

Answer:

It might be negative, I'm not sure, but I feel postive about that answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The discriminant is zero because the graph of the parabola is on the x axis.

Other Questions
If Q is the midpoint of PR, find the coordinates of R if P(11,-2) and Q(4,3). A mixture of gases contains 0.320 mol CH4, 0.240 mol C2H6, and 0.300 mol C3H8. The total pressure is 1.45 atm. Calculate the partial pressures of the gases. If the sum of the external forces on an object is zero, then the sum of the external torques on itmust also be zero.A) True B) False How do I find the missing number? a watch was bought for RS 4444. at what price should it be sould to gain rs444? A sample of calcium fluoride was decomposed into the constituent elements. Write a balanced chemical equation for the decomposition reaction. If the sample produced 294 mg of calcium, how many g of fluorine were formed We are all victims of fashion. We are all fashion slaves. Essay please help. I need this in essay Atleast with 200-250 words How many combinations of pennies, nickels, and/or dimes are there with a total value of 35 cents? Using appropriate properties find 2/3 x ( 3/5) + 1/5 x 4/3 + 2/3 x ( 3/2)= Margot has fallen in love with a three-bedroom, 2,500-square-foot property in her friends neighborhood. Its listed for $400,000. However, just down the street, another three-bedroom, 2,400-square-foot home very similar to the one Margot loves was just listed for $350,000. Margot and her agent immediately make an offer on the second property. Which economic principle is at work here? Dozier Company produced and sold 1,000 units during its first month of operations. It reported the following costs and expenses for the month: Direct materials $86,000 Direct labor $43,500 Variable manufacturing overhead $21,800 Fixed manufacturing overhead 33,100 Total manufacturing overhead $54,900 Variable selling expense $15,400 Fixed selling expense 24,800 Total selling expense $40,200 Variable administrative expense $5,700 Fixed administrative expense 28,400 Total administrative expense $34,100Required:a. What is the total product cost?b. What is the total period cost? summarize the central ideas in Society and Solitude in a paragraph Choose the rhyme scheme of Sidneys Sonnet XLI. - abba cdcd cdcd ee - abba abba cd cd ee - aabb bbaa cd cd ee - abab abba cd cd ee Consider these versions of The War of the Worlds.Excerpt 1, from H. G. Wells's novel The War of the Worlds:The common round the sand pits was dotted with people, standing like myself in a half-fascinated terror, staring at these creatures, or rather at the heaped gravel at the edge of the pit in which they lay. And then, with a renewed horror, I saw a round, black object bobbing up and down on the edge of the pit. It was the head of the shopman who had fallen in, but showing as a little black object against the hot western sun. Now he got his shoulder and knee up, and again he seemed to slip back until only his head was visible. Suddenly he vanished, and I could have fancied a faint shriek had reached me.Excerpt 2, from Howard E. Koch's script for Orson Welles's radio adaptation:PHILLIPS: Ladies and gentlemen, you've just heard Mr. Wilmuth, owner of the farm where this thing has fallen. I wish I could convey the atmosphere . . . the background of this . . . fantastic scene. Hundreds of cars are parked in a field in back of us. Police are trying to rope off the roadway leading to the farm. But it's no use. They're breaking right through. Cars' headlights throw an enormous spot on the pit where the object's half buried. Some of the more daring souls are now venturing near the edge. Their silhouettes stand out against the metal sheen.Which statement best describes the similarity between these versions?Both versions impart an urgent tone through a residents words.Both versions impart setting details through colorful description.Both versions explain the background of a scientific phenomenon.Both versions use characterization to show the locals' intelligence. If the volume of the gas is increased to 9.6 L , what will the pressure be? plz helpand explain why? A construct that enables you to create custom types by grouping together variables of other types is called a what Andrew found a stone in his yard and took it to Brad, a jeweler, for evaluation. Although Brad knew what the stone was, he told Andrew that he wasn't sure as to the nature of the stone, but that he thought it was a saphire. Brad then offered to buy the stone for $50 and Andrew agreed. Later Andrew found out the stone was an uncut blue diamond worth about $10,000. The sale: What are two ways you canhelp make a difficult poem easier to understand? cuantas molculas de oxigeno se producen por la descomposicin de 28.5 g de H2O2 (masa molecular = 34.0g/mol) de acuerdo a la ecuacin 2H2O2(l) 2H2O(l)+O2(g)