5 less (-5) than 1/3 of number (n/3) is (=) 2 more than (2+) half of the number (n/2)
-5+n/3=2+n/2
add 5 to both sides
n/3=n/2+7
times 6 both sides
2n=3n+42
minus 2n both sides
0=n+42
minus 42 boh sides
-42=n
the number is -42
the number is 18
<h3>
Answer: -√46 is between -7 and -6</h3>
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Explanation:
List out the perfect squares
- 1^2 = 1
- 2^2 = 4
- 3^3 = 9
- 4^2 = 16
- 5^2 = 25
- 6^2 = 36
- 7^2 = 49
- 8^2 = 64
and so on. We can see that 46 is between 6^2 = 36 and 7^2 = 49.
We can say 6^2 < 46 < 7^2
Applying the square root to all three sides leads us to 6 < sqrt(46) < 7
Now multiply all three sides by -1. This will flip the inequality signs
We go from
6 < sqrt(46) < 7
to
-6 > -sqrt(46) > -7
It might help to order things from smallest to largest to get this
-7 < -sqrt(46) < -6
This means -sqrt(46) is between -7 and -6 on the number line
See the diagram below.
Part A)The given equation is:
The radicand or discriminant(d) of the equation will be:
Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.
Part B)The given equation is:
We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:
Answer:third option did test got it right
Step-by-step explanation:
Yes it does mean that. As long as a number is next to a number with parenthesis with no sign in between, consider it as multiplication.