Answer:
y= 4/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2=3(y−2)
−2=(3)(y)+(3)(−2)(Distribute)
−2=3y+−6
−2=3y−6
Step 2: Flip the equation.
3y−6=−2
Step 3: Add 6 to both sides.
3y−6+6=−2+6
3y=4
Step 4: Divide both sides by 3.
3y
/3
=
4
/3
y=
4/3
Answer:
y=
4/3
Answer:
14 and 20
Step-by-step explanation:
<u><em> Let x and y be two numbers where x < y</em></u><em>.</em>
We are given :
y - x = 6
y² - x² = 204
Then
y - x = 6
(y - x)(y + x) = 204
Then
y - x = 6
6 × (y + x) = 204
then
y - x = 6 (Equation 1)
y + x = 34 (Equation 2)
Then
(Equation 1) + (Equation 2) ⇒ 2y = 40 ⇒ y = 20
Now ,we substitute y by 20 in equation 1 :
y - x = 6
⇔ 20 - x = 6
⇔ 20 - 6 = x
⇔ x = 14
1) Rational numbers are the numbers which can be expressed as the fraction.
In mathematical form, you can say: anything like: p/q (where, q≠ 0)
2) An Irrational number is the number which can't be expressed in the form of fraction, it repeats upto infinite digits.
Hope this helps!
Looking at the only columns where we have both x and f(x), we can see this couples:
![\begin{array}{c|c}x&f(x)\\1&1\\49&7\\25&5\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7Dx%26f%28x%29%5C%5C1%261%5C%5C49%267%5C%5C25%265%5Cend%7Barray%7D)
We can see that the output is always the square root of the input, so the function is
![f(x)=\sqrt{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7Bx%7D)
and the table completes to
![\begin{array}{c|c}x&f(x)\\9&3\\1&1\\100&10\\4&2\\49&7\\16&4\\0&0\\25&5\\20&\sqrt{20}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7Dx%26f%28x%29%5C%5C9%263%5C%5C1%261%5C%5C100%2610%5C%5C4%262%5C%5C49%267%5C%5C16%264%5C%5C0%260%5C%5C25%265%5C%5C20%26%5Csqrt%7B20%7D%5Cend%7Barray%7D)