Based on the function F(x) = x^4 - 3x^3+ x^2 +2 and the graph of G(X) below,
1 answer:
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He earns 23 000 000 per 80 games for 48min
Per game he earns
If he earns 782 500 per game he earns 5 989,5833 per minute
If he played 2/3 of the time he played 32min which means he earned...
So he trained 35hours for a 48min match
Together that is 35.8hours
But I dont think this really matters here you just have to multiply 24453.125 with 60
And you get his hourly salary which is 1 467 187.5
Per game he earns
If he earns 782 500 per game he earns 5 989,5833 per minute
If he played 2/3 of the time he played 32min which means he earned...
So he trained 35hours for a 48min match
Together that is 35.8hours
But I dont think this really matters here you just have to multiply 24453.125 with 60
And you get his hourly salary which is 1 467 187.5
9514 1404 393
Answer:
- 7 forks
- 20 spoons
Step-by-step explanation:
Let x and y represent the numbers of forks and spoons made, respectively.
The cost of materials is ...
1.70x + 1.30y = 37.90
The revenue from sales is ...
5.60x + 5.40y = 147.20
You can solve these by any of your favorite methods. A graph is attached. It shows the solution is (x, y) = (7, 20).
They made 7 forks and 20 spoons.
_____
<em>Additional working out</em>
The equation coefficients are not "nice" multiples of each other, so elimination and substitution will require multiplying both equations by some numbers. If we're going to that trouble, we may as well use Cramer's Rule or a variation of the "cross multiplication method". The latter is relatively straightforward and can be easy to remember. It tells you the solution to ...
ax +by +c = 0
dx +ey +g = 0
is ...
1/(ae-db) = x/(bg-ey) = y/(cd-ga)
Here, that becomes ...
1/(1.70·5.40-5.60·1.30) = x/(1.30·(-147.20)-5.40·(-37.90))
= y/(-37.90·5.60-(-147.20·1.70))
1/1.9 = x/13.3 = y/38
x = 13.3/1.9 = 7 . . . number of forks
y = 38/1.9 = 20 . . . number of spoons
__
The above solution formula may be more easily remembered in terms of the cross-multiplication pattern that gives the method its name. When the coefficients are written in two rows of four, with the last being a repeat of the first:
- a b c a
- d e g d
each of the three denominators (of 1, x, and y) is the difference of products in adjacent columns, formed in an X fashion: ae-db, bg-ec, cd-ga. Note that the equations are written in "general" form, which is similar to "standard" form, but with all of the non-zero terms on the left of the equal sign. (This has the effect of changing the sign of the constants: 1.7x+1.3y=37.9 ⇒ 1.7x+1.3y-37.9=0)
Answer:
750 books
Step-by-step explanation:
Let there be "x" number of books in the 3rd room
Now,
2nd room has 3 times as 3rd room, so we can write:
Second Room = 3x
Also, there are 1960 MORE books in 1st room than 2nd room, so we can write:
First Room = 3x + 1960
In total there are 7210 books in all three rooms, thus we can write:
First Room + Second Room + Third Room = 7210
Now, replacing the first 2 equations in this, we get:
3x + 1960 + 3x + x = 7210
Solving for x:
"x" is indeed what we are looking for. Thus,
There are 750 books in the third room