Answer:
1/3 of the kids are boys
Step-by-step explanation:
Since there are 9 kids total and 3 boys, 3 out of 9 kids are boys. We can turn this statement into a fraction like so:
3/9
Now we need to simplify. In order to do so, we need to find a number that goes into both the numerator and denominator. Well, 3 goes into 3 one time and 3 goes into 9 three times. Now we can simplify the fraction like this:
1/3
So, 1/3 of the kids are boys.
Hope this helped! Let me know if you have any more questions! :)
The two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.
<h3>What is defined as the quadratic formula?</h3>
- A quadratic equation is just a polynomial with a second degree first term.
- There are several methods for determining the roots, or solutions, of such a quadratic equation.
- Every quadratic equation has two solutions, that might or might not be real numbers.
- The quadratic formula is a simple method for resolving a quadratic equation. whether the answer is a whole number, an irrational number, or perhaps an imaginary number
If the quadratic equation is ax² + bx + c = 0.
Then, the roots are given by x = [-b ± √(b² - 4ac)]/2a.
The quadratic equation is given as; 2x² - 5x - 12 = 0.
On comparing with the standard form;
Put the values in the formula,
x = [-b ± √(b² - 4ac)]/2a.
x = [-(-5) ± √((-5)² - 4×2×(-12))] / 2×2
On simplification,
x = [5 ± 11]/4
There will be two roots of equation,
a; x = [5 + 11]/4
x = 16/4 = 4
b ; x = [5 - 11]/4
x = 6/4 = 1.5
Thus, the two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.
To know more about the quadratic formula, here
brainly.com/question/1214333
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Answer:
the second one :O
Step-by-step explanation:
<h3>
Answer:</h3>
- -100x +100; 3
- 5x +81; 162
<h3>
Step-by-step explanation:</h3>
The distributive property is your friend. It tells you ...
a(b + c) = ab + ac
It can also be used to simplify the product of binomials (or other polynomials).
(a +b)^2 = (a +b)(a +b) = a(a +b) + b(a +b) = a^2 +ab +ab +b^2
(a +b)^2 = a^2 +2ab + b^2 . . . . . . . worth remembering
1. (x -10)^2 -x(x +80) = (x^2 -20x +100) +(-x^2 -80x)
= -100x +100 . . . . . . simplified form
For the purposes of calculation, it can be easier to factor out 100:
= 100 (1 -x)
Then for x = 0.97
= 100(1 -0.97) = 100(0.03) = 3
___
2. (2x +9)^2 -x(4x +31) = (4x^2 +36x +81) -4x^2 -31x = 5x +81
For x = 16.2, this is ...
5(16.2) +81 = 81 +81 = 162
_____
The purpose of the attachment is to show the evaluation is correct.
