MATHEMATICS HIGH SCHOOL

Please help with explanation

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

use the formula = a² + 2ab + b²

(9x)² - 2 * 9x * 7xy + (7xy)²

81x² + 49x²y²- 126x²y

Answer 2

Answer:

Answer:

c) 81x² + 49x²y² - 126x²y

Step-by-step explanation:

when you square something you are multiplying it by itself

(9x - 7xy)² = (9x - 7xy) (9x - 7xy)

this requires the FOIL method:

F = first = (9x)(9x) = 81x²

O = outer = (9x)(-7xy) = -63x²y

I = inner = (-7xy)(9x) = -63x²y

L = last = (-7xy)(-7xy) = 49x²y²

the two middle terms can be combined because they are 'like'

-63x²y + -63x²y = -126x²y

answer:

81x² - 126x²y + 49x²y²

the order is normally changed to be put in decreasing exponent order so 49x²y² is put before -126x²y

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A jar contains 3 red marbles,7 blue, and 2 green.You take one marble without replacing it, and then another.What is the probability that you draw a green and a blue?

Answers

Answer:9/12

Step-by-step explanation:

Like the other person said, it would be 9/12 because there are 12 total marbles (3 red, 7 blue, 2 green) and the blue marble amount plus the green marble amount would be 9, so it would be a 9/12 chance!

Is the line liner?
someone help i need this to pass

Answers

Answer:

yes

Step-by-step explanation:

5. What is a cubic polynomial function in standard form with zeros 1, –2, and 2? (1 point)= x3 + x2 – 3x + 4
= x3 + x2 – 4x – 2
= x3 + x2 + 4x + 4
= x3 – x2 – 4x + 4

Answers

Answer:

Option D is correct

The cubic polynomial function in standard form is :

$x^3-x^2-4x+4$

Step-by-step explanation:

Given the zeroes of the polynomial function 1 , -2 and 2.

i.e, x = 1 , -2 and 2 where x is the zero of the polynomial function.

we can write this as

x - 1 = 0,

x + 2 = 0 or

x - 2 = 0

(x - 1)(x + 2)(x - 2) =0

Using identities $(a+b)(a-b) =a^2-b^2$

then;

$(x-1)(x^2-4)=0$

Multiply the first term of the first expression with second expression;

$x (x^2-4) =x^3-4x$

also,

Multiply the second term of the first expression with second expression;

$1(x^2-4) = x^2 -4$

Now, subtract $x^3-4x$ and $x^2 -4$

we get;

$x^3-4x-x^2+4$

then, we have;

$x^3-x^2-4x+4=0$

Cubic function is any function of the form $y = ax^3 + bx^2 + cx + d,$ where a, b, c, and d are constants and a≠0

therefore, the given function is cubic function;

so, the cubic function f(x) = $x^3-x^2-4x+4$

Hello,

Answer D
(x-1)(x+2)(x-2)=(x-1)(x²-4)=x^3-x²-4x+4

Finish the sequence 1,1,1,3,5,9,17,31,57, , ,

Answers

Your basically adding the first 3 numbers to get the next for example: 1,1,1=3
and then 1,1,3,=5 and then 1,3,5=9 then 3,5,9 =17 so on and so forth.

so to get the first answer of 105 I added the last 3 numbers in the sequence together (17,31,57) to get 105

the next 3 numbers in the sequence are:
105,193,355

Given points A(2, 3) and B(-2,5), explain how you could use the Distance Formula and an indirect argument to show that point C(O, 3) is NOT the midpoint of AB.

Answers

Answer:

Therefore C is not the midpoint of AB.

Step-by-step explanation:

Midpoint: The midpoint is a point from which the distance between the endpoints of a line segment is always equal.

Distance formula:

The distance between the points (x₁,y₁) and (x₂,y₂) is

$√((x_2-x_1)^2+(y_2-y_1))$

Given points are A(2,3) and B(-2,5).

If C(0,3) is the midpoint of the line segment AB,then AC=BC.

The distance between AC is

$√((0-2)^2+(3-3)^2)$

$=√(2^2)$

=2 units

The distance between AC is

$√((0-(-2))^2+(3-5)^2)$

$=√(2^2+2^2)$

$=4√(2)$ units.

Since AC ≠ BC

Therefore C is not the midpoint of AB.

Robert makes $4.00 an hour when he works overtime.how much does he for 3 1/4 hours of overtime work?

Answers

Okay, to find that out, ignore the 3 in the 3 1/4 for now. So 1/4 right? Is 25% right? Out of four, 4/4 is? One. So bring back the three, do 3*4=12, so it equals: 13$ . not a good job right?

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