Answer: 720ways, 24ways
Step-by-step explanation:
Given the seven letter words "SYSTEMS", if E is always occurring before M it means E and M will always be together therefore they letter 'EM' will be taken as an entity to five us 6letters i.e SYST(EM)S.
This can then be arranged in 6!ways
6! = 6×5×4×3×2×1 = 720ways
Similarly, if the E somewhere before the M and the three Ss grouped consecutively, this means E and M must always be together as well as the Ss to give (SSS)YT(EM).
This means that the letters in the bracket can be taken as an entity to give a total of 4 entities. This can them be arranged in 4! ways.
4! = 4×3×2×1
4! = 24ways
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)
To find "m", you can use the slope formula and plug in the two points:
(2,3) = (x₁ , y₁)
(0,9) = (x₂ , y₂)



m = -3
y = -3x + b
To find "b", you can plug in one of the points into the equation (however they already gave you the y-intercept (0,9) or 9)
(2,3)
y = -3x + b
3 = -3(2) + b
3 = -6 + b
9 = b
y = -3x + 9
Its simple check symbolab.com
Answer:
The answer is 0.8
Step-by-step explanation:

Thus, The answer is 0.8
<u>-TheUnknownScientist 72</u>
Answer:
- ∞ < y < ∞
Step-by-step explanation:
The given function is,
.
Now, the origin function of this above function is,
which has real y-values as output for all real x-values input.
Hence, the function
will ba valid for all real values of x and will have real y-value corresponding to each x-value.
Therefore, the range of this function i.e. the y-value of this function will be
- ∞ < y < ∞. (Answer)