X^2 - 8x - 9 over x^2 - 1

Answers

Answer 1

Answer:

Factor both equations, you'll get (x-9)(x+1) for the first one and (x+1)(x-1) for the second one.

new equation: (x-9)(x+1) over (x+1)(x-1). You can cancel out both (x+1)s because when divided by each other you're left with the number one. The answer is (x-9) over (x-10

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PLEASE HELP ASAP!!! *problems attached

Answers

First one: A=5
Second one: no solution

There are approximately 7.5x10^18 grains of sand on earth.There are approximately 7x10 ^27 atoms in an average human body.Are there more grains of sand on earth or atoms in an average human body ?How do you know?

Answers

Answer:

Step-by-step explanation:

There are approximately 7.5 × 10¹⁸ grains of sand on earth.

There are approximately 7 × 10²⁷ atoms in an average human body.

A. There are more atoms in an average human body. When comparing the order of magnitude of each number 27 it greater than 18.

7 × 10²⁷ > 7.5 × 10¹⁸

B. Now we will calculate how many times more atoms are in a human body compared to grains of sand on earth.

$(7* 10^(27))/(7.5* 10^(18))$

= $(7)/(7.5)* (10^(27))/(10^(18))$

≈ 1 × 10²⁷⁻¹⁸

≈ 1 × 10⁹

≈ 10⁹

There are approximately 1,000,000,000 atoms more in a human body compared to the grains of sand on earth.

There are more atoms in a human body because 7.5*10^18 is less than 7*10^27.

Phyllis solved the compound inequality 16 ≤ 2(3x – 1) < 28. She began by first breaking the inequality into two separate inequalities, then she correctly solved each for x. Which graph represents her solution? A number line with a point at 3 with a bold line pointing to the right stopping at the open circle at 5. A number line with an open circle at 3 with a bold line pointing to the right stopping at the point 5. A number line with a point at 3 with a bold line pointing to the left and an open circle at 5 with a bold line pointing to the right. A number line with an open circle at 3 with a bold line pointing to the left and a point at 5 with a bold line pointing to the right.

Answers

Answer:

A number line with a point at 3 with a bold line pointing to the right stopping at the open circle at 5.

Step-by-step explanation:

Phyllis solved the compound inequality $16\le2(3x-1) < 28.$ She began by first breaking the inequality into two separate inequalities $16\le 2(3x-1)$ and $2(3x-1)<28$ , then she correctly solved each for x:

1) $16\le 2(3x-1):$

Rewrite this inequality:

$2(3x-1)\ge 16$

Divide by 2:

$3x-1\ge 8$

Add 1:

$3x-1+1\ge 8+1\n \n3x\ge 9$

Divide by 3:

$x\ge 3$

2) $2(3x-1)<28:$

Divide by 2:

$3x-1<14$

Add 1:

$3x-1+1<14+1\n \n3x<15$

Divide by 3:

$x<5$

The solution to the compound inequality are all values of x which are greater than 3 or equal to 3 and less than 5. So, you have to plot point at 3, draw a bold line to 5 and plot open circle at 5. Hence, option

A number line with a point at 3 with a bold line pointing to the right stopping at the open circle at 5

is true.

The answer to your question would be A.

Hope you have a nice day!

Mr. Ferguson reads 1/10 of a book to his class each day. What fraction of the book has Mr. Ferguson read to the class after 5 days?

Answers

1/2 of the book because 5/10 can be simplified to 1/2

Drag each label to the correct box. Not all labels will be used.William says that 15 years from now, his age will be 3 times his age 5 years ago. If x represents William's present age, complete the following
sentences
15 years
18 years
x - 15 = 3(x + 5)
x+15= 3(x - 5)
The equation representing William's claim is
William's present age is