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3 years ago

The cube of the difference of 1 and a number

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

8 0

Answer:

$(1-x)^3$

Step-by-step explanation:

Let

x ----> the number

we know that

The cube of the difference of 1 and a number is the same that subtract the number from 1 and all the expression elevated to the cube

$(1-x)^3$

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Please help, need asap

rodikova [14]

For the first option, since when x is going down (to the left) the function is going up, it's not approaching 0. For the second option, since when x is going up (to the right) it's going up, it's not approaching negative infinity (negative infinity is all the way down). For the third one, since when x is going down the y values are climbing, we can assume that the function's values go to positive infinity. For the last one, since when x=0 y=0, when x=0 the function does not go to infinity

8 0

3 years ago

Whats the answer? I dont get it?

SSSSS [86.1K]

It’s the first answer choice

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2 years ago

The volleyball team has 41 members. There are 3 more boys than girls how many girls are there?

Pie

19 members are girls

4 0

3 years ago

What is the justification for the first step in proving the formula for factoring the sum of cubes?

Anna11 [10]

Explanation:

The formula isnt correctly written, it should state:

$a^3+b^3 = (a+b)(a^2-ab+b^2)$

You have to start from $(a+b)(a^2-ab+b^2)$ and end in a³+b³. On your first step, you need to use the distributive property.

$(a+b)(a^2-ab+b^2) = a*(a^2-ab+b^2) + b*(a^2-ab+b^2)$

This is equal to

$a*a^2-a*(ab) + a*b^2 + b*a^2-b*(ab) + b*b^2 = a^3 - a^2b + ab^2 +ba^2 -b^2a +b^3$

Note that the second term, -a²b, is cancelled by the fourth term, ba², and the third term, ab², is cancelled by the fifht term, -b²a. Therefore, the final result is a³+b³, as we wanted to.

5 0

3 years ago

Jessica picked oranges for 2 days during school vacation. She was paid $0.45 per basket for the first 100 baskets picked each da

Mama L [17]

Answer:

$91.75

Step-by-step explanation:

Jessica is paid:

$0.45 per basket for the first 100 baskets picked;
$0.50 per basket for all baskets over 100 picked.

1st day:

Jessica picked 65 baskets of oranges (less than 100)

Jessica is paid $65\cdot \$0.45=\$29.25$

2nd day:

Jessica picked 135 baskets of oranges (35 more than 100)

Jessica is paid $100\cdot \$0.45+35\cdot \$0.50=\$45+\$17.50=\$62.50$

Altogether Jessica is paid

$\$29.25+\$62.50=\$91.75$

4 0

3 years ago