Simplify:
(2x - 3)(3x + 4)

Answers

Answer 1
Answer: (2x - 3) (3x + 4) =  6x² + 8x - 9x - 12 = 6x² - x - 12

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Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point of symmetry? True or false?

Answers

False.

Reflectional symmetry, as the name suggests, is a property a design has if it maintains all characteristics when it is reflected with respect to some axis. This means that you must choose a line, and make it act as a mirror.

For example, you can consider a square, and one of its diagonal. If you "flip" the figure with respect to said diagonal, the square will remain the same.

Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a line of symmetry so the given statement is False.

What is the transformation of a graph?

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will bit that (x,y) → (y,x).

If we want to reflect any graph or curve then we need to take a reference axis or line.

If the line is a line of symmetry then the length, with and remaining gall characteristics will remain the same.

Thus, the reflection must be the point of the axis.

Hence "The preceding statement is False because reflective symmetry is the property that a design possesses if it retains all attributes when it is rotated about a line of symmetry".

To learn more about the transformation of graphs,

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A welder needs apiece of half-inch pipe18 3/4 in. Long.  she has a piece the is 28 1/8 in. Long. how much must she cut off from the longer piece?

Answers

I got 9 and 3/8 because you would subtract 18 3/4 from 28 1/8 

Final answer:

The welder needs to cut off 9 3/8 inches from the longer piece.

Explanation:

To determine how much the welder needs to cut off from the longer piece of pipe, we need to find the difference between the lengths of the two pieces.

Given that the longer piece is 28 1/8 inches and the desired length is 18 3/4 inches, we can subtract the desired length from the longer piece's length:

28 1/8 - 18 3/4 = 9 3/8

Therefore, the welder needs to cut off 9 3/8 inches from the longer piece of pipe.

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Which of the following does not have a sum of 6?2 + 4
8 + (-2)
-4 + (-2)
-2 + 8

Answers

2 + 4 = 6

8 + (-2) = 6

-4 + (-2) = -6

-2 + 8 = 6

Since the third option equals -6, the answer would be: -4 + (-2).

An astronaut who weighs 126 pounds on Earth weighs only 21 pounds onthe moon. How much would a person who weighs 31 pounds on the moon
weigh on Earth? Show your work to receive full credit.

Answers

Answer:

186 pounds

Step-by-step explanation:

let x = pounds on Earth

set up a proportion:  (126)/(21) = (x)/(31)

cross-multiply:  21x = 3906

divide by 21:   x = 186

Answer:

186 pounds.

Step-by-step explanation:

By proportion 126/21 =  x/31

6 = x/31

x = 6*31

= 186 pounds.

Consider two events such that P(A) = 1/3, P(B) = 4/5, and P(A ∩ B) = 4/15. Are events A and B independent events?Yes, they are independent because P(A) ⋅ P(B) ≠ P(A ∩ B)
No, they are dependent because P(A) ⋅ P(B) = P(A ∩ B)
Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)
No, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)

Answers

Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)

Jana and her friend bought 4 hamburgers, 3 orders of fries, and 2 milk shakes for $3 each. They paid for the food with $20. Which part of the equation represents the total cost of their items? Justify your answer. c = $20 - (4h + 3f + 6)

A) $20; They paid $20 for the food.
B) (4h + 3f); Find the total cost by adding the price of 4 hamburgers to the price of 3 fries
C) 4h + 3f + 6; Find the total cost by adding the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.
D) c = 20 - (4h + 3f + 6); Find the total cost by subtracting the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.

Answers

For this case we have the following variables:

h: Cost of each hamburger bought by Jana and her friend

f: Cost of each order of potato chips bought by Jana and her friend

b: Cost of each milkshake

If you bought 4 hamburgers, 3 orders of potatoes and 2 milkshakes, you have a cost of:

Cost = 4h + 3f + 2b

It is known that each shake costs $ 3, sob =3$

Substituting we have:

Cost = 4h + 3f + 2 * 3

Cost = 4h + 3f + 6

Thus, the total cost is given by:

Cost = 4h + 3f + 6

Answer:

Cost = 4h + 3f + 6

Option C


I believe the correct answer is C