Answer:
A
Step-by-step explanation:
Given
2k² - k - 3
Consider the factors of the product of the k² term and the constant term which sum to give the coefficient of the k- term.
product = 2 × - 3 = - 6 and sum = - 1
The factors are + 2 and - 3
Use these factors to split the k- term
2k² + 2k - 3k - 3 ( factor the first/second and third/fourth terms )
= 2k(k + 1) - 3(k + 1) ← factor out (k + 1) from each term
= (2k - 3)(k + 1) → A
Answer:
6 black pieces
10 red pieces
Step-by-step explanation:
The way to interpret ratios is like so:
Adding up both parts of the ratio gives 8, i.e. 3 + 5
So for every 8 pieces, 3 are black and 5 are red;
There are 16 pieces, which is 2 × 8;
So, there are (2 × 3) black pieces and (2 × 5) red pieces, i.e. 6 black and 10 red
So, to solve:
Add all parts of the ratio (3 + 5);
Divide the number of pieces (16) by this sum of ratio parts (8);
Multiply the value from the division (2) by each part of the ratio
Tip:
It is important to take note of the order in the ratio, so the ratio of black to red means the number that comes first in the ratio represents parts black and the one that comes second represents parts red;
If the wording was the ratio of red to black, the number that comes first would represent parts red and the second would represent parts black
<u>Answer:</u>
- Greatest number: 98750
- Least number: 5789
<u>Explanation:</u>
<em>To find the greatest number with the following values, we must arrange the numbers in descending form. </em>
<em>=> We can clearly tell that the numbers in descending form is 9 > 8 > 7 > 5 > 0</em>
<u>Hence, the greatest number with the following numbers (5,0,8,9, and 7) will be 98750.</u>
<h3>__________________________________________________</h3>
<em>To find the least number with the following values, we must arrange the numbers in ascending form.</em>
<em>=> We can clearly tell that the numbers in ascending form is 0 < 5 < 7 < 8 < 9</em>
<u>Hence, the least number with the following numbers (5,0,8,9, and 7) will be 5789</u>
Answer: The answer is 6.
The number sentence is
3-3=0
10-4=6
So, 13-7=6
Step-by-step explanation:
To solve 
, by making ten
First break 13 and write 
Then break 7 as 
Now to subtract 7 from 13,
Step 1. Subtract 3 (a part of 7), from 3(a part of 13) or cross 3 circles, then we have left 10-4
Step 2. Subtract 4 from 10 or cross 4 circles out of 10, we get 6.
The answer is 6.
Answer:
12
Step-by-step explanation:
