will give brainliest

Answer:

f(x) = 4*(x+2)*(x-4) factorized formula

f(x) = 4x^2 - 8x - 32 polynomical formula

Step-by-step explanation:

Lets assume the factorized formula of a quadratic function:

f(x) = a*(x-x1)^2 * (x-x2)^2

where "a" is a coefficient and x1, x2 are the roots of the function. Then replacing the given roots:

f(x) = a*(x+2)*(x-4)

because its told us that -36 is the minimum value of the function we can say that its concave, then this value is actually the component in the Y axis of the vertex. To find the component in the X axis of the vertex we have to make the adding between the roots and divide this value by 2, this last is because a quadratic function is a symetrical function. Lets call the component at the X axis of the vertex as Xv, then:

Xv=(x1+x2)/2

Xv=(-2+4)/2

Xv=1

Therefore now we have a point of the function and its P=(1,-36) this point is the vertex of the function too.

Now the last thing to do is to find the value of the coefficient "a". We can find it by replacing the point of the vertex obtained before.

-36 = a*(1+2)*(1-4)

-36 = a*(3)*(-3)

-36 = a*(-9)

4 = a

Finally the equation is:

f(x) = 4*(x+2)*(x-4)

if we expand this function we find the polynomical form of this function

f(x) = 4x^2 - 8x - 32

Answer:

Relation

Step-by-step explanation:

The domains, 0,1,2,1 repeat! (the 1's repeat twice:)

No it is not a function.

In the x-values there are two ones. Therefore it cannot be a function.

Answer:

-5<x<7.

Step-by-step explanation:

let the number be represented by 'x'

3x + 5 > -10 < 26

-10<3x+5<26

-10 < 3x +5

-10 -5 < 3x

-15< 3x

-15÷3 < x

-5 < x

and

3x+5 < 26

3x<26-5

3x < 21

x < 21÷3

x< 7

answer is -5<x<7

Answer:

[⁵/3,7[

Step-by-step explanation:

10 ≤ 3x + 5 < 26

10-5 ≤ 3x < 26-5

⁵/3 ≤ X <7

[ 5/3 , 7 [

13602. 48 cm³

Hi there !

Cylinder volume formula

V = π·r²·h

π ≈ 3.14

replace

V = 3.14×(19cm)²×12cm

= 3.14×361cm²×12cm

= 13602. 48 cm³

Good luck !

Answer:

it's very simple its 0 only

pls mark as brainliest

Answer:

10 it is rational

Step-by-step explanation:

Answer:

3.141592654...

Step-by-step explanation:

it just keeps going and going and never stops.

please give me brainliest

Answer:

4. j(11) = 8

I think it is linear

5. g(-3) = 18

No, it's a parabola since x is to the second power

6. f(-7) = 5

No, I think it's an absolute value function

7. h(0) = 13

I think it is linear, just the slope is 0

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

4.)

j(11) = 19 - 11

j(11) = 8

The equation is linear.

5.)

g(-3) = 2(-3)²

g(-3) = 2(9)

g(-3) = 18

The equation is not linear. It is quadratic.

6.)

f(-7) = |-7 - 1| - 3

f(-7)= |-8| - 3

f(-7) = 8 -3

f(-7) = 5

The equation is not linear. It is an absolute value function.

7.)

h(0) = -13

The equation is linear.

Answer:

You have 5 yellow counters left because you can make 4 zero pairs, the zero pairs represent the even amount that when they get added together they cancel out

Step-by-step explanation:

Yellow-1,2,3,4,

Red-1,2,3,4,5,6,7,8,9

Cancel out-1,2,3,4

Left with-5,6,7,8,9

Parent functions has a domain and range of all real numbers is a Cubic function

Given :

We need to find the parent function that has a domain and range of all real

numbers.

Domain is the set of all x values and range is the set of y values.

For any cubic function there is no restriction for   x  

For each value of x  there is a y value

So, domain and range of cubic function is set of all real numbers

For reciprocal function , there will be x in the denominator . So there will be some restriction for x.

For any quadratic function , domain is set of all real numbers. For quadratic we get U shaped graph . It means there is some restriction for y.

So range cannot be real numbers

For absolute value function , we get V shaped graph . so there is some restriction for y. Range cannot be all real numbers.

parent functions has a domain and range of all real numbers is a Cubic function

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Answer:

The answer is 696 ft.

Step-by-step explanation:

When you multiply the formula (LxW) you get the answer to the equation.

Answer:

696 ft

Step-by-step explanation: Multiply both of them :D

Answer:

7.2

Step-by-step explanation:

Answer:

$10 - $13 is -3, which menas he is $3 short.

Step-by-step explanation:

Answer:

take the amount Jaun has ($10) and subtract it from the amount he needs ($13). you will get 3$ which is the amount of money he is short.

Step-by-step explanation:

Hope this helps you

Answer:

The answer is A, ST and WX

Step-by-step explanation:

The answer is A because ST and WX are the same size and shape, just mirrored.

Answer:

Equation: $7 + $1.25t = $43.25

Solving:

$7 + $1.25t = $43.25

$1.25t = 36.25

$1.25t = 36.25

t = 29

So the answer is 29 minutes.

Answer:

A. [tex](x+5)^2+(y-4)^2=16[/tex]

B. [tex](x-1)^2+(y-4)^2=2\\[/tex]

C. [tex]$\left(x-3\right)^2+\left(y-5\right)^2=9$[/tex]

Step-by-Step Explanation:

A. Tangent to x-axis, r=4, contains (-5,8)

The equation of a circle is this: [tex](x-h)^2+(y-k)^2=r^2\\[/tex]

Therefore, we know that our equation will be: [tex](x-h)^2+(y-k)^2=4^2=16[/tex]

Because the circle is tangent to the x-axis, the point (-5,8) will be the top of the circle.

Therefore, the center is (-5,4), where -5=h and 4=k.

The answer is [tex](x+5)^2+(y-4)^2=16[/tex]

B. Diameter endpoints (2,5) and (0,3)

To solve for the diameter, we can use this equation: [tex]d=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2 }[/tex]

[tex]d=\sqrt{(2-0)^2+(5-3)^2 }\\\\d=\sqrt{2^2+2^2}=\sqrt{4+4} =\sqrt{8}= 2\sqrt{2}[/tex]

Because the radius is half of the diameter, [tex]r=\sqrt{2}[/tex]

Therefore, we know that our equation will be: [tex](x-h)^2+(y-k)^2=(\sqrt{2}) ^2=2[/tex]

Then, we can decipher that h=1, as the midpoint of 0 and 2 is 1, and k=4, as the midpoint of 3 and 5 is 4.

The answer is [tex](x-1)^2+(y-4)^2=2[/tex]

C. Center on x=3, tangent to y-axis at (0,5)

We can see that the center is (3,5). Therefore, the equation is [tex](x-3)^2+(y-5)^2=r^2\\[/tex]

To solve for r, we can substitute the point (0,5) into the equation.

[tex](0-3)^2+(5-5)^2=r^2\\(-3)^2+(0)^2=r^2\\r^2=9[/tex]

The answer is [tex](x-3)^2+(y-5)^2=9[/tex]

Hope this helped!

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The  97% confidence interval is  [tex]1528  <  \mu <  1612 [/tex]

b

Option A and  Option D  are correct

Step-by-step explanation:

From the question we are told that

     The sample size is n =  119

     The  sample  mean is [tex]\$ 1570[/tex]

    The  population standard deviation is  [tex]\sigma  =  \$ 211[/tex]

    Generally given that the confidence level is  97% then the level of significance is mathematically represented as

      [tex]\alpha = (100 - 97 )\%[/tex]

=>    [tex]\alpha = 0.03[/tex]

From the normal  distribution table  the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

     [tex]Z_{\frac{\alpha }{2} } =  2.17[/tex]

Generally the margin of error is mathematically represented as

     [tex]E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }[/tex]

    [tex]E =  2.17*  \frac{211}{\sqrt{ 119 } }[/tex]

=>   [tex]E =   41.98 [/tex]

Generally the 97% confidence interval is mathematically represented as

     [tex]\= x  - E  <  \mu <  \= x  + E[/tex]

=>    [tex]1570  - 41.98  <  \mu <  1570  + 41.98 [/tex]

=>    [tex]1528  <  \mu <  1612 [/tex]

Generally looking at confidence interval we see that the width is dependent on the size of the margin of error.

Generally the margin error is directly proportional to the  critical value of  [tex]\frac{\alpha }{2}[/tex] which increases when the confidence level increases and vise versa

Also the margin error is inversely proportional to the square root of  sample size

Hence to reduce the width of the confidence interval we need to lower the confidence level  and increase the sample size

The roots of the equation are imaginary numbers, 5+6i, 5-6i.

A quadratic equation is what can be written in the form of ax²+bx+c=0

The quadratic equation is

x² -10x = -34

x² -10x +34 = 0

The roots formula for a quadratic equation is given by

[tex]x = \dfrac{ -b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

Here a = 1

b = -10

c =  34

The roots of the equation are

[tex]x = \dfrac{ 10 \pm \sqrt{(-10)^2 -4*34}}{2}[/tex]

[tex]\rm x = \dfrac{ 10 \pm \sqrt{-36}}{2}\\\\\\x = 5 \pm 6i[/tex]

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Answer:

[tex]\mu=473.2[/tex]

Step-by-step explanation:

Binomial Distribution

The binomial distribution is commonly used to model the number of successes in a sample of size n drawn with replacement from a population of size N.

The mean value of a binomial distribution is given by:

[tex]\mu=np[/tex]

Where b is the number of trials and p is the success probability for each trial.

We need to find the mean value with parameters n=676 and p=0.7, thus:

[tex]\mu=676\cdot 0.7[/tex]

[tex]\boxed{\mu=473.2}[/tex]

Answer:

Irrational

Rational

Rational

Rational

Irrational

Step-by-step explanation:

Answer:

The amplitude of the function is 48

The period of the function is 28

The graph has a vertical shift of   48  units.

Step-by-step explanation:

just took the quiz

Answer:

15

Step-by-step explanation:

45 divided by 3 equals 15

45 ÷ 3 = 15

Hi there!

Clue: x3 less than the tickets Klara sold...

Divide both terms:

[tex]45[/tex]÷[tex]3=15[/tex]

Tickets: 15

Answer:

  1/8 room

Step-by-step explanation:

  (3/4 roll)/(6 rolls/room) = (3/4)(1/6) rooms = 1/8 rooms

With 3/4 roll of wire, the electrician can wire 1/8 of a room.

Answer:

I don't know what your asking, but if your asking about colors here you go.

Step-by-step explanation:

Green = G

Blue = B

Black = BL

Yellow = Y

Orange = O

Grey = GR

Purple = P

Red = R

Pink = PI

Thats all that I can think of right now

Answer:  

It maybe 300.

Answer:

21

Step-by-step explanation:

The length of the other leg (x) is 12 cm.

We have,

To find the length of the other leg, we can use the Pythagorean theorem.

Using this theorem, we can set up the following equation:

x² + 5² = 13²

Simplifying the equation:

x² + 25 = 169

Subtracting 25 from both sides:

x² = 144

Taking the square root of both sides:

x = ±12

Since length cannot be negative in this context, the length of the other leg (x) is 12 cm.

Thus,

The length of the other leg (x) is 12 cm.

Learn more about triangles here:

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The complete question:

In a right triangle, the length of one of the legs is 5 cm, and the length of the hypotenuse is 13 cm.

What is the length of the other leg, represented as x?