give an equation for each sentence. use n to represent the unknown number.
1.six increased by a number os twenty
2.a number decreased by seven is four
3.two more than a number is twelve
4.one less than a number is eighteen
5.twice a number is a hundred
6.twice a number os one-half
7.rhe square of a number increased by four is twice by four is twice the number
8.the cube of a number decreased by seven is four times the number
9.the sum of twice a number and two is thirteen
10.the product of a number and its half is eighteen
Solution and Explanation:
A quadratic equation is any equation that can be write in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0.
In the given situation, let x is an unknown number. By following the given problem, you can make an equation.
To solve the variable:
x^2 + 8 = 144 is equal to x^2 = 136 (using transposition method).
Now, the equation is x^2 = 136
x^2 = 136
x = √136, square root both side
You will get x = 2√34 or 11.66
Read more about quadratic equation here
it depends on what number it is, for example. if its 4,then the square root would be 2, add 4 = 8 × 2= 16.. hope this helps :)
HOPE THIS HELPS.
The answer is 8 because
The number: x
x² + 16 = 10x
Change to standard form of quadratic equation:
x² - 10x + 16 = 0
(x - 8) (x - 2) = 0
Equate each factor to 0:
x - 8 = 0 ⇒ x = 8
x - 2 = 0 ⇒ x = 2
ANSWER: x = 2 an 8
the square of a number increased by four is twice the nos.
√x + 4 = 2x
x² + 4 ≤ 21
x² ≤ 21 - 4
√(x²) ≤ √17
x ≤ √17
ANSWER: The maximum value of x is √17.
1.six increased by a...