What does at most in inequality mean

Answers

Answer 1
Answer: "At most" means "not more", so it's equal or less.

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What is the 6th term in the geometric sequence described by this explicit formula ?
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What is the completely factored form of f(x) = 6x3 – 13x2 – 4x + 15?(x + 1)(6x2 – 19x + 15) (x + 1)2(2x – 3) (x + 1)(3x – 2)(5x – 3) (x + 1)(2x – 3)(3x – 5)
The measures of exterior angles of a regular polygon with n numbers of sides ____ as n increases
At one time during 2001 for every 20 copies of Harry Potter and the Sorcerer's Stone that were sold 13.2 copies of Harry Potter and the Prisoner of Azkaban were sold express the ratio of copies of the Prisoner of Azkaban sold two copies of the Sorcerer's Stone sold as a percent

What is the factored form of the expression? 3x 2 + 8x – 16A. (3x + 4)(x – 4)
B. (3x + 4)(x + 4)
C. (3x – 4)(x – 4)
D. (3x – 4)(x + 4)

Answers

The correct answer is D. (3x-4)(x+4).  

Answer:

The factored form of the expression  3x + 8x – 16 is (3x -4) (x + 4)  .

Option (D) is correct.

Step-by-step explanation:

As the expression given in the question be.

3x^(2) +8x -16 = 0

3x^(2) +12x - 4x -16 = 0

3x (x + 4) - 4 (x +4) = 0

(3x -4) (x + 4)  = 0

Therefore the factored form of the expression  3x + 8x – 16 is (3x -4) (x + 4)  .

Option (D) is correct.

The cost of a telephone call is 75 cents plus 25 cents per minute. Write an algebraic expression that models the cost of a telephone call that lasts t minutes.

Answers

y=.75x+.25

.75(1)+.25= $1.00
x= the number of phone calls y= the total 
75 + 25 x t = Answer 

Example: 
t= 2 minutes
75 + 25 x 2 = $2.00

A photocopy was made of julie's watercolor painting. the photocopy resized the painting so that it measured 4 inches wide by 7 inches long. if the actual painting is 16 inches wide, what is the length A.28 inches
B.9.14 inches
C.38 inches
D.64 inches

Answers

First, set up a ratio.

4:7= 16:x
You mutiply 4 by 4 to get 16, so you multiply 4 to 7.

4:7= 16:28
Therefore, the answer is A, 28 inches.

Solve x2 − 3x = −8.x equals quantity of 3 plus or minus I square root of 29 all over 2


x equals quantity of 3 plus or minus I square root of 23 all over 2


x equals quantity of negative 3 plus or minus I square root of 29 all over 2


x equals quantity of negative 3 plus or minus I square root of 23 all over 2

Answers

we have

x^(2) -3x=-8

Complete the square. Remember to balance the equation by adding the same constants to each side

x^(2) -3x+1.5^(2)=-8+1.5^(2)

x^(2) -3x+1.5^(2)=-5.75

Rewrite as perfect squares

(x-1.5)^(2)=-5.75

Square Root both sides

x-1.5=(+/-)√(-5.75)

Remember that

√(-1)=i

√(5.75)= \sqrt{(23)/(4)}=(√(23))/(2)

Substitute

x-1.5=(+/-)i(√(23))/(2)

x=1.5(+/-)i(√(23))/(2)

x=(3/2)(+/-)i(√(23))/(2)

x=(3/2)+i(√(23))/(2)=(3+i√(23))/(2)

x=(3/2)-i(√(23))/(2)=(3-i√(23))/(2)

therefore

the answer is

x equals quantity of 3 plus or minus I square root of 23 all over 2

Answer:

x equals 3 plus or minus i square root of 23 all over 2

Step-by-step explanation:

I got it right on the test.

What is the following product?

Answers

Answer & Step-by-step explanation:

(5√2 - 4√3)(5√2 - 4√3)

We can rewrite this equation into a more simpler form.

(5√2 - 4√3)²

Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.

When you multiply a radical by itself, then the base number will be by itself as the product.

So......

(5)² = 25

(4)² = 16

(√2)² = 2

(√3)² = 3

So, now the equation looks like this..

(25 * 2) + (16 * 3)

Multiply the terms.

50 + 48

Add the numbers.

50 + 48 = 98

So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.

Which equation is an identity?A. 7m – 2 = 8m + 4 – m

B. 8y + 9 = 8y – 3

C. 11 – (2v + 3) = –2v – 8

D. 5w + 8 – w = 6w – 2(w – 4)

Answers

An identity is obtained when you substitute any value of x to an equation, both sides will give out the same answer. A trial-and-error method is best used for questions like these. The method is shown below:

Let: 1 = m = y = v = w

A. 7m – 2 = 8m + 4 – m

7(1) – 2 = 8(1) + 4 – (1)
5 =/= 11

B. 8y + 9 = 8y – 3

8(1) + 9 = 8(1) - 3
17 =/= 5

C. 
11 – (2v + 3) = –2v – 8

11 - (2(1) + 3) = -2(1) - 8
6 =/= -10

D. 
5w + 8 – w = 6w – 2(w – 4)

5(1) + 8 -1 = 6(1) - 2(1 - 4)
12 = 12

Therefore, the choice D is the identity.