I need help i have no clue what to do!

Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

The graph is sketched at the end of this answer.

The Factor Theorem states that a polynomial function with roots is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem:

Then:

[tex]f(x) = a(x - 2)(x - 2)[/tex]

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

Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.

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

[tex]5 = a(12^2 - 4(12) + 4)[/tex]

[tex]100a = 5[/tex]

[tex]a = \frac{5}{100}[/tex]

[tex]a = 0.05[/tex]

Hence, the parabola is:

[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

At the end of this answer, the graph with five points is sketched.

A similar problem is given at https://brainly.com/question/24380382

Answer:

Arithmetic is a branch of mathematics that consists of the study of numbers, especially concerning the properties of the traditional operations on them - addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Answer:

The arithmetic mean is the simplest and most widely used measure of a mean, or average. It simply involves taking the sum of a group of numbers, then dividing that sum by the count of the numbers used in the series.

Step-by-step explanation:

Answer:

54 marbles

Step-by-step explanation:

7+2=9(amount Eric had in all)

9×6=54

so in all, he bought 54 marbles which he shared among his friends and brother.

ANS:54 marbles

Answer:

5 i think

Step-by-step explanation:

The trapezoid's height (h) is 4 mm(millimeters).

Formula to calculate a trapezoid's height;

2 x Area ÷ by A(short base) + B(large base)

Answer:

ok good morning

have a nice day

Step-by-step explanation:

#toxicsquad

Answer:

i think its 7, but you should probably check that...

Answer:

Step-by-step explanation:

Answer:

  7 inches tall

Step-by-step explanation:

A graphing calculator quickly finds the solution to the cubic equation. It is convenient to define ...

  f(x) = 4x^3 -28x^2 +144x -1008

so f(x) = 0 gives the value of x that is of interest. That value is x=7.

The box is 7 inches tall.

_____

The equation f(x) = 0 can be divided by 4 to give ...

  x^3 -7x^2 +36x -252 = 0

This can be factored by grouping:

  (x^3 -7x^2) +(36x -252) = 0

  x^2(x -7) +36(x -7) = 0

  (x -7)(x^2 +36) = 0

The only real root is x = 7, which makes a factor zero.

_____

Additional comment

For finding solutions to cubic and higher-degree polynomials, I find a graphing calculator to be an extremely helpful tool. Desmos provides an online calculator and apps for various platforms. It may take a little while to learn how to use it effectively, but it can save immense amounts of time and frustration. Of course, your handheld graphing calculator can be just as useful.

Answer:

  m∠X = 70°

Step-by-step explanation:

In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...

  ∠A = ∠X = 70° . . . . . . . . . . . matches choice A

  ∠B = ∠Y = (90° -70°) = 20°

  ∠C = ∠Z = 90°

  AB = XY = √(3.5² +9.6²) ≈ 10.22 cm

  BC = YZ = 9.6 cm

  AC = XZ = 3.5 cm

Answer:

 m∠X = 70°

Step-by-step explanation:

In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...

 ∠A = ∠X = 70° . . . . . . . . . . . matches choice A

 ∠B = ∠Y = (90° -70°) = 20°

 ∠C = ∠Z = 90°

 AB = XY = √(3.5² +9.6²) ≈ 10.22 cm

 BC = YZ = 9.6 cm

 AC = XZ = 3.5 cm

there are 9∗9∗8 three digit numbers where all digits are different so 1000−9∗9∗8 which have at least two digits that are the same and then there are 9 numbers which have exactly three same digits so the number of three digit numbers where exactly two digits are the same is 1000−9∗9∗8−9=343.Answer:

Step-by-step explanation:

Answer: Both B and C

B. It will probably be easier to weigh heavy slabs that are stacked together rather than pulling out some slabs from different stacks.

C. Each stack has a variety of slabs, so choosing all of the slabs in some of the stacks should represent the population fairly well.

Step-by-step explanation:

B. By weighing entire stacks, the manager would only need to retrieve, weigh, and return about 101010 units. By weighing fewer slabs per stack, there are many more steps in the process and it is more complicated to track where to return the weighed slabs.

C. If each stack reflects the variety in the population, then choosing the stacks as clusters is a good way to get a sample that looks like the population.

Answer:

option 3

Step-by-step explanation:

The translation [tex]T_{3, - 4}[/tex] means add 3 to the x- coordinate and subtract 4 from the y- coordinate, then

(- 5, 2 ) → (- 5 + 3, 2 - 4 ) → (- 2, - 2 )

Answer:

Our wide range of vitamins, minerals and health supplements help to ensure you’re getting the nutrients you need every day. From chewable vitamins to food supplements, hair vitamins to vitamins for skin and folic acid. There is something for everyone to support a healthy lifestyle, whilst improving wellbeing for you and all the family.

Answer: 4k^2 - 9k - 9 = 0

Step-by-step explanation:

lmk if i was right please and ty

Answer:

7 pounds?

Step-by-step explanation:

Answer:

240 kg

multiplica 360 con 80 y luego dividelo por 120. Que equivale a 240, o divide 120 por 80 que te da 1.5 y multiplicalo por 240 que equivale a el total 360 Kg

Answer:

See below:

Step-by-step explanation:

The term [tex]f(x)[/tex] is used to show the function of x and is essentially the same as y in some cases. One being right now.

So we know the function [tex]T(n)[/tex] and we know that we want to solve for [tex]T(12)[/tex].

So what we can do, is input 12 as n in the original function.

Therefore, we get [tex]T(12)=\frac{2}{3} (12) + 3[/tex]

Using algebra, we can solve it and we get 11!

Cheers!

Answer:

X = 4 , Y = b , Z = 2a

Step-by-step explanation:

2b(2ab)² - a(2b²)² ← expand parenthesis

= 2b(4a²b²) - a(4[tex]b^{4}[/tex]) ← distribute parenthesis

= 8a²b³ - 4a[tex]b^{4}[/tex] ← factor out 4ab³ from each term

= 4ab³(2a - b)

Compare terms to XaY³(Z - b)

with X = 4 , Y = b , Z = 2a

Answer:

-5 and 2

-2 and -1

-3 and 0

There is no shortcut to solving this type of problem. You just have to use trial and error.

:)

Answer:

-2+ (-3)

-5+ 0

-1+ (-2)+ (-2)

Hope this helps!

LMK if it does

Answer:

They do not make triangles.

Step-by-step explanation:

You automatically know that c is going to be the biggest number of each triangle since it is the largest side. So you would use both of these formulas:

a² + b² = c²

[tex]2^{2}[/tex] + [tex]5^{2}[/tex] = [tex]7^{2}[/tex] which is false

10² + 12² = 14² is false as well

Hope this helps!!

Answer:

ancho: 12 cm

Largo: 14 cm

Step-by-step explanation:

[tex]P=2a+2l[/tex]

[tex]l=a+2[/tex]

[tex]P=2a+2(a+2)=2a+2a+4[/tex]

[tex]P=4a+4[/tex]

[tex]52=4a+4[/tex]

[tex]52-4=4a[/tex]

[tex]48=4a[/tex]

[tex]48/4=a[/tex]

[tex]12=a[/tex]

largo = ancho + 2 = 12 +12 = 14 cm

Hope this helps

Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k)are the coordinates of the centre and r is the radius

Given

2x² + 2y² - 4x + 16y = 128 ( divide through by 2 )

x² + y² - 2x + 8y = 64 ( collect x and y terms together )

x² - 2x + y² + 8y = 64

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 1)x + 1 + y² + 2(4)y + 16 = 64 + 1 + 16

(x - 1)² + (y + 4)² = 81 ← in standard form

with centre = (h, k ) = (1, - 4 ) → C

Based on the cost of the chicken thighs per pound, Jackie would pay a total of $3.87

The chicken thighs cost $1.29 per pound purchased.

The cost of 3 pounds is:

= Cost per pound x Number of pounds

Solving would give:

= 1.29 x 3

= $3.87

In conclusion, Beth will pay $3.87 for the chicken. There isn't enough data to know the number of servings.

Find out more at https://brainly.com/question/21511823.

Answer:

5.3 seconds is needed for one signature.

Hence, for 96 signatures, it would take

[tex]96*5.3=508.8[/tex] seconds.

The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Lola needs to sign 96 invitations.

And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.

Since, No of invitation's =96

And, Time required to sign 1 invitation = 5.3seconds

So, Let the time required to sign 96 invitation = x

Hence, We get;

x = 5.3 x 96

  = 508.8 seconds

Thus, The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ7

Answer:

in the picture

hope this helps! :D

Answer:(-7, -8), (-7,5), (-6,0),(-1,8)

Step-by-step explanation:

Functions are relations with one output (y) for any unique input (x).

The first set has two values of y when x = -7:  -8 and 5.

The other sets have unique values for each x.

Answer:

13/ 14 the first one

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

d5 7yvjn3f5crc6tv6tvt7gv7g

Answer:

3w + 8 = 2

Step-by-step explanation:

product of a number and 3 is w * 3

eight more than the above is 3w + 8

which is equal to 2

3w + 8 = 2