MATHEMATICS HIGH SCHOOL

multiply polynomials
(2n+2)(6n+1)

Answers

Answer 1

Answer:

The multiplication of the expression ( 2n + 2 )( 6n + 1 ) is 12n² + 14n + 2.

What is the simplified form of the given expression?

Given the expression in the question:

( 2n + 2 )( 6n + 1 )

To multiply the expression ( 2n + 2 )( 6n + 1 ), we use the distributive property and the FOIL method.

( 2n + 2 )( 6n + 1 )

Using the Foil method:

2n( 6n + 1 ) + 2( 6n + 1 )

Using the distributive property:

2n × 6n + 2 × 1 + 2 × 6n + 2 × 1

Multiplying, we get:

12n² + 2n + 12n + 2

Collect and add the like terms:

12n² + 14n + 2

Therefore, the simplified form is 12n² + 14n + 2.

Learn more about the FOIL method here: brainly.com/question/27980306

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Answer 2

Answer: $(2n+2)(6n+1)\n12n^2+2n+12n+2\n12n^2+14n+2$

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A. triangle abc is reflected over the y axis what are the coordinates of the rreflected triangle

B. describe in words what happens to the x coordinates and y coordinates of the original triangle's vertices as a result of this reflection

Answers

Answer:

(-1,3) (-3,1) and (-4,5)

Step-by-step explanation:

Given is a triangle ABC with coordinates (1,3)(3,1) (4,5)

First transformation is reflection over yaxis i.e. x=0

Reflection in the y -axis: A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y)

Hence x coordinate will change sign

The resulting coordinates would be

(-1,3) (-3,1) and (-4,5) respectively

y coordinates will remain the same because of this reflection.

Hence new coordinates would be

(-1,3) (-3,1) and (-4,5) For A, B and C in the same order

a.what's r?!
b.it turns from 3, 1 to 3, -1 and 1, 3 to 1, -3 and 5, 4 to 5, -4

Giselle graphs the function f(x) = x^2. Robin graphs the function g(x) = –x^2. How does Robin’s graph relate to Giselle’s?Robin’s graph is a reflection of Giselle’s graph over the x-axis.
Robin’s graph is a reflection of Giselle’s graph over the y-axis.
Robin’s graph is a translation of Giselle’s graph 1 unit down.
Robin’s graph is a translation of Giselle’s graph 1 unit left.

Answers

The first one is the answer.

Sketch the graph of the two by substituting x as 1, 2, 3 and you will see that the two graphs look exactly the same but seem to be reflected through the mirror line of the x-axis

Answer:

First Option

Step-by-step explanation:

without using your calculator or computer graphing tool. match each function rule with its graph. In each case, write a sentence explaining the type of variation that relates (x) and (y) for example Y is proportional to ..... with constant of proportionality....?

Answers

Well I know that c. goes with I. just because I saw so many x^3 graphs.

For a. the parent function is x^2, so 0.5x^2 should look about the same as x^2, so the answer is VI.

The graphs that match the function given are:

(a) VI, (b) III, (c) I, (d) II, (e) V, (f) IV

Consider the equations of the graphs given :

(a) y = 0.5 x²

This is a quadratic equation and thus will be a parabola.

This matches VI.

y is directly proportional to the square of x.

(b) y = 5/x²

Here negative values of y are not possible since x is squared.

Also, the values of y will be equal to a and -a.

This matches III.

y is inversely proportional to the square of x.

Here negative values of x will have the y values also negative.

Also, the value increases when x increases.

This matches I.

y is directly proportional to the cube of x.

(d) y = 1/x³

y value for x = -a is the negative of the y value for x = a.

Also, as x increases y decreases.

The function is not defined at 0.

This matches II.

y is inversely proportional to the cube of x.

(e) y = 3√x

Here since x is inside the cube, not defined for negative values of x.

As x increases, y also increases.

This matches V.

y is directly proportional to the square root of x.

(f) y = (0.5)ˣ

For negative values o x, the value of y will be high and for positive values of x, the value of y will be lower.

This matches IV.

y is exponentially related to x.

Learn more about Functions here :

brainly.com/question/21372452

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Answer the question above on the ixl tab, please.

Answers

Answer:

The answer is 10

Step-by-step explanation:

The formula for finding the combination of two given positive numbers is given by

$_(n)C _(r) = (n!)/((n - r)!r!)$

Where n and r are positive numbers

From the question we have

5 C 3

Simplify

That's

**$\binom{5}{3} = (5!)/((5 - 3)!3!) = (120)/(2! * 3 !) \n = (120)/(2 * 6) \n = (120)/(12)$**

We have the final answer as

10

Hope this helps you

What is the prescribed dosage of a certain medicine for a child 6 years old, if the adult dosage of the medicine is 180 milligrams?C= a/((a+12)) ∙ 180
C = child’s dosage in milligrams
a = age of the child
A = adult dosage in milligrams