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Degger [83]
3 years ago
10

N+5n=30 what does n equal

Mathematics
1 answer:
KiRa [710]3 years ago
8 0

The answer is n equals five
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8. What would be the area of a trapezoid whose bases are 6 m and 14 m with a height of 4 m? * ​
Korolek [52]
A=40m

A=a+b
2h=6+14
2·4=40m²
8 0
3 years ago
The polynomial $f(x)$ has degree 3. If $f(-1) = 15$, $f(0)= 0$, $f(1) = -5$, and $f(2) = 12$, then what are the $x$-intercepts o
Alex_Xolod [135]

Your calculator's cubic regression function can tell you the equation is

... f(x) = 2x³ + 5x² -12x = x(x +4)(2x-3)

The x-intercepts are -4, 0, +1.5.

_____

If you want to solve this "by hand", you can first of all recognize that since there is an x-intercept at 0, the cubic will only have three coefficients. That is, you can write the equation as

... f(x) = ax³ + bx² + cx

Substituting the given points (except (0, 0)) gives three linear equations in a, b, c.

... -a +b -c = 15 . . . . . for x=-1

... a + b + c = -5 . . . . for x=1

... 8a +4b +2c = 12 . . for x=2

adding the first two equations gives 2b=10, or b=5. Now, you can reduce the system to

... a + c = -10

... 4a +c = -4

Subtracting the first of these equations from the second gives 3a=6, or a=2. That tells you c=-12 (from a+c=10).

Then your equation is

... f(x) = x(2x² +5x -12)

Factoring by any of the usual techniques, or graphing, or using the quadratic formula will tell you the zeros (x-intercepts) are as above.

_____

Since the input values are sequential, you can also develop the function from differences of the output values. Those are 15, 0, -5, 12. First differences are -15, -5, +17. Second differences are +10, +22. The third difference is 12. Using the first of these differences in appropriate places in the interpolating polynomial formula, we have

... f(x) = 15 + (x+1)(-15 + (x)/2·(10 + (x-1)/3·(12))) = 2x³ +5x² -12x . . . . as above

4 0
2 years ago
there are 15 oranges available to be cut up for a hockey team. Each member of the team will get two third of an orange. Using op
Yuki888 [10]
Each member of the team will get two thirds of an orange.
3 0
2 years ago
Need help with this question!
Katyanochek1 [597]

Answer:

  • A = 0.85(b +47)
  • $143.65

Step-by-step explanation:

Since the number of bagels sold already is 47, the total number of bagels sold will be b+47. The revenue from each sale is $0.85, so the total revenue will be ...

  A = 0.85·(b +47)

This equation can be written in different forms, but this satisfies the requirement for "an equation."

__

Since b is the number of addition bagels, when 122 additional bagels are sold, the value of b is 122. Then the equation becomes ...

  A = 0.85·(122 +47)

  A = 0.85·169 = 143.65

Revenue will be $143.65 when 122 additional bagels are sold.

4 0
3 years ago
If you could answer both, that would be amazing:)
sveticcg [70]
The first question is “32.4”
I’ll come back if I find the other
7 0
2 years ago
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