Answer:
The number is -2
Step-by-step explanation:
12 less than 7 times a number can be express as follows,
let the number = a
7a - 12
According to the question the number 7a - 12 is equals to 32 less than the product of - 3 and the number.
32 less than the product of -3 and the number can be express below.
-3a - 32. Therefore,
7a - 12 = -3a - 32
collect like terms
7a + 3a = - 32 + 12
10a = -20
divide both sides by 10
a = -20/10
a = -2
The number is -2
Answer:
<h3>
44</h3>
Step-by-step explanation:
z - some integer
2z - first given even integer (the smaller one)
2z+2 - even integer consecutive to 2z (the larger one)
2(2z) - twice the smaller number
2(2z) - 40 - the number 40 less than twice the smaller number
2(2z) - 40 = 2z + 2
4z - 40 = 2z + 2
2z = 42
2z+2 = 42+2 = 44
check:
2(2z)-40 = 2(42)-40 = 84-40 = 44
Answer:
I assume you would know how to make a regular graph???
So, you would plot the points at:
(2, 5)
(3, 8)
(4, 13)
(5, 12)
(6, 18)
(7, 20)
I hope this helps you!
Answer:
Step-by-step explanation:
The first and only rule really is to factor these down to their primes and then apply a very simple rule
For every prime, take out 1 prime for every prime under the root sign that equals the index. The rest are thrown away.
That's very wordy. Let's try and see what it means with an example
Take sqrt(27) The index is 1/2 (square root) That means we need two threes in order to apply the rule.
sqrt(27) = sqrt(3 * 3 * 3 ) For every two primes take out 1 and throw one away.
sqrt(27) = 3 sqrt(3) You can't take out that 3rd 3.
64 = 2 * 2 *2 *2 *2 * 2
4th root 64 = <u>2*2*2 </u><u>*2</u><u> </u>* 2 *2
for every 4th root, you get to take 1 out and throw three away.
4th root 64 = 2 fourth root (2*2)
4th root 64 = 2 fourth root (4)
- 189 = - <u>3 * 3 * </u><u>3</u> * 7
cuberoot (- 189) = For every 3 roots, you get to pull 1 out and throw the other two away.
3 cube (- 7) is your answer.
72 = 2 * 2 * 2 * 3 * 3
cube root (72) = 2 cube root(9) You don't have enough threes to do any more than what is done.
