MATHEMATICS HIGH SCHOOL

Factor completely 4x4− 20x3 + 12x2. (1 point) Select one: a. 4x2(x − 3)(x − 1) b. 4(x4 − 5x3 + 3x2) c. 4x2(x2 − 5x + 3) d. 4(x − 3)(x − 1

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Given

4 $x^(4)$ - 20x³ + 12x² ← factor out 4x² from each term

= 4x² (x² - 5x + 3) → C

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In the triangle, the angle where the Key light is located is 60 degrees. and the angle where the back light is located is 45 degrees. The ray of light divides its angle in half and shines directly on the performer. Use this fact to match the angles to the correct measure.
the gathering of information about public opinion by questioning a representative sample of the population is
Divide 85 into the ratio of 2:3:5
Help please ahahah i hate this sm i really need help

Identify the type of transformations to triangle abc.

Answers

i am sure it would be a & b

The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.Which equation represents g(x)?

Answers

The equation that represents the function g(x) is $g(x)=9cos(x-(\pi )/(3) )+7$ .

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

What is translation?

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The function is given as

$f(x)=9cos(x-(\pi )/(2) )+3$

The function f(x) is first translated $(\pi )/(6)$ units left.

The rule of translation is:

$(x,y)=(x+(\pi )/(6),y)$

So, we have:

$f'(x)=9cos(x+(\pi )/(6) -(\pi )/(2) )+3$

Take LCM

$f'(x)=9cos(x+(\pi-3\pi )/(6) )+3$

$f'(x)=9cos(x-(2\pi )/(6) )+3$

$f'(x)=9cos(x-(\pi )/(3) )+3$

Next, translate f'(x) 4 units up.

The rule of this translation is:

$(x,y)=(x,y+4)$

So, we have:

$g(x)=9cos(x-(\pi )/(3) )+3+4$

$g(x)=9cos(x-(\pi )/(3) )+7$

Hence, the equation that represents the function g(x) is $g(x)=9cos(x-(\pi )/(3) )+7$ .

Find out more information about function and translation here

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Answer:

Step-by-step explanation:

Im almost sure it B but if not then its for sure D.

Please help me out.................

Answers

Answer:

y = 15

Step-by-step explanation:

In a parallelogram, opposite lengths are equal.

So it means that the length (5y - 20) is equal to (2y + 25).

Now that there is only one variable in the equation, we can solve for the variable.

5y - 20 = 2y + 25

5y - 2y = 25 + 20

3y = 35

y = 15

4(X-1)-3(X^2+2X+3)-7(X+7)

Answers

$4(x-1)-3(x^2+2x+3)-7(x+7) =\n 4x-4-3x^2-6x-9-7x-49=\n -3x^2-9x-62$

4. (02.06 MC)A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Usen 3.14
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)

Answers

Answer: See explanation

Step-by-step explanation:

Diameter = 8 inches

Radius = Diameter/2 = 8/2 = 4 inches

Height of the cylinder = 3 inches

Height of the cone = 18 inches

Volume of a cylinder = π r² h

= 3.14 × 4² × 3

= 3.14 × 16 × 3

= 150.72

Volume of a cone = 1/3 π r² h

= 1/3 × 3.14 × 4² × 18

= 1/3 × 3.14 × 16 × 18

= 301.44

From the answer gotten, we can deduce that the volume of the cone is twice the volume of the cylinder.

Probability theory predicts that there is a 22.4% chance of a particular soccer player making four penalty shots in a row. If the soccer player taking four penalty shots is simulated 2500 times, in about how many of the simulations would you expect at least one missed shot?

Answers

If there is a 22.4% chance that a soccer player will make 4 shots in a row, then the probability that he/she WON'T make 4 shots in a row is...

100 -22.4 = 77.6%

So the number of simulations that he/she will miss at least one shot in 2500 simulations would be...

2500 x 77.6% =
2500 x .776 = 1940

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