Domain = All real numbers
Range = All values such that y ≥ -1555.25
![\dag \bf{ \purple{Given \: Expression}}](https://tex.z-dn.net/?f=%20%5Cdag%20%20%5Cbf%7B%20%5Cpurple%7BGiven%20%5C%3A%20Expression%7D%7D)
![\sf \dashrightarrow9x \times 6 {y}^{2} \times 5 {x}^{2} \times {y}^{3}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cdashrightarrow9x%20%5Ctimes%206%20%7By%7D%5E%7B2%7D%20%20%5Ctimes%205%20%7Bx%7D%5E%7B2%7D%20%20%5Ctimes%20%20%7By%7D%5E%7B3%7D%20)
![\dag \bf{ \pink{Property\:of\:indices\:used\:here}}](https://tex.z-dn.net/?f=%20%5Cdag%20%5Cbf%7B%20%5Cpink%7BProperty%5C%3Aof%5C%3Aindices%5C%3Aused%5C%3Ahere%7D%7D)
![\boxed{ \sf \: {a}^{m} \times {a}^{n} = {a}^{m + n} }](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%20%5C%3A%20%7Ba%7D%5E%7Bm%7D%20%20%5Ctimes%20%20%7Ba%7D%5E%7Bn%7D%20%3D%20%20%7Ba%7D%5E%7Bm%20%2B%20n%7D%20%20%20%7D)
![\dag \bf{ \blue{Solution}}](https://tex.z-dn.net/?f=%20%5Cdag%20%5Cbf%7B%20%5Cblue%7BSolution%7D%7D)
Calculate the product of numbers i.e. 9×6×5
![\sf \dashrightarrow270xy^{2} {x}^{2} {y}^{3}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cdashrightarrow270xy%5E%7B2%7D%20%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B3%7D%20)
If a term doesn't have an exponent, its implied exponent is 1
![\sf \dashrightarrow270 {x}^{1} {y}^{2} {x}^{2} {y}^{3}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cdashrightarrow270%20%7Bx%7D%5E%7B1%7D%20%20%7By%7D%5E%7B2%7D%20%7Bx%7D%5E%7B2%7D%20%20%20%7By%7D%5E%7B3%7D%20)
Multiply the terms with the same base by adding their exponents
![\sf \dashrightarrow270 {x}^{1 + 2} {y}^{2 + 3}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cdashrightarrow270%20%7Bx%7D%5E%7B1%20%2B%202%7D%20%20%7By%7D%5E%7B2%20%2B%203%7D%20)
Add the numbers in exponent
![\boxed{ \sf \dashrightarrow270 {x}^{3} {y}^{5} }](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%20%5Cdashrightarrow270%20%7Bx%7D%5E%7B3%7D%20%20%7By%7D%5E%7B5%7D%20%7D)
Answer:
n^2 -10n + 24
Step-by-step explanation:
Given expression:
(n-6)(n-4)
Solution:
Apply distributive property,then simplifying using PEMDAS,we obtain
- n^2 - 4n - 6n + 24
- n^2 -10n +24
Hence,n^2 -10n -24 is the answer.
Answer:
the third side is 4.
Step-by-step explanation:
Using Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute
the numbers to show (
+
=
and solve for b. The square root and square cancel each other out, so you get 65 +
= 81.
Subtract 65 from both sides to get
= 16.
Then take the square root of both sides to get b =
which equals 4.
Answer:
2x-3.7y+0.3
Simplify the expression.
Step-by-step explanation: