Well, a linear function is proportional, a straight line (on a graph). And the numbers must not have the same answer. For instance, if the X input is 5, and the Y output is 7. And then another X input is 5, and the Y output is 8, that's non-linear.
So, the Answer would be the third graph. This is because the X values are steadily increasing, and so are the Y values.
For the X and Y values, for each time X increases by 1, Y increases by -8. This is, linear because both sides are constantly and evenly increasing.
You left it out, but I'm thinking that there must be an 'x' next to the '20.50' in the function. I'm so sure of it that I'll assume it, as I proceed to answer the question:
C(x) = 20.50x + 2,000
Subtract 2,000 from each side: C - 2,000 = 20.50 x
Divide each side by 20.50 : x = (C - 2,000) / 20.50
When C = $625,000 . . .
x = (625,000 - 2,000) / 20.50 = 623,000 / 20.50 = 30,390.2439
<em>30,390 complete units</em> are produced, and there are 5 bucks left over,
to split up among all the loyal employees who worked with such diligence and dedication to make it happen. The company's senior management will graciously add each worker's share to his gross pay before taxes for the second month following the close of the current quarter, with a photocopied note inserted in the pay envelope, expressing management's sincere thanks to everyone, an admonition not to spend it all in one place, and a reminder that no matter how many festivals to their god they need to go out to the desert to celebrate, their tally of bricks for the next quarter shall not be diminished.
Cos x = sqrt( 100 - 9) / 10
<span>= 0.9539392014</span><span>sin x = 0.3 = 3/10
</span>
Answer:
Rope jumping, slow pace, < 100 skips/min, 2 foot skip, rhythm bounce 8.8 630
Rope jumping, moderate pace, 100-120 skips/min, general, 2 foot skip, plain bounce 11.8 845
Rope skipping, general 12.3 881
Rope jumping, fast pace, 120-160 skips/min 12.3 881
Step-by-step explanation:
- Simplify :- 1 + - w² + 9w.
Quadratic polynomial can be factored using the transformation 
, where 
are the solutions of the quadratic equation 
.
All equations of the form 
can be solved using the quadratic formula: 
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
Square 9.
Multiply -4 times -1.
Add 81 to 4.
Multiply 2 times -1.
Now solve the equation 
when ± is plus. Add -9 to 
.
Divide -9+ by -2.
Now solve the equation when ± is minus. Subtract from -9.
Divide 
by -2.
Factor the original expression using 
. Substitute 
for 
and 
for 
.
<h3>NOTE :-</h3>
Well, in the picture you inserted it says that it's 8th grade mathematics. So, I'm not sure if you have learned simplification with the help of biquadratic formula. So, if you want the answer simplified only according to like terms then your answer will be ⇨
This cannot be further simplified as there are no more like terms (you can use the biquadratic formula if you've learned it.)
