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aliina [53]
3 years ago
10

Sale price of a $23.91 item that is 1/3 off?

Mathematics
1 answer:
IceJOKER [234]3 years ago
8 0

Answer: $15.94

Step-by-step explanation:

You divide 23.91 by three, then subtract  using the previous answer which was 7.97. 7.97 was 1/3 of 23.91. When subtracted you get, 15.94.

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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
Find 25% of 80 kg A 40kg B 10kg C 8kg D 20kg help me plss​
vova2212 [387]

Answer:

25% of 80 is D. 20kg

Step-by-step explanation:

50% of 80 is 40 and we know that 25% is half of 50%, so half of 40 would be 20.

So, the answer is D. 20kg

Hope this helps! :)

8 0
2 years ago
2365 books were donated to an elementary school. if 5 classrooms shared the books equally, how many books did each class receive
Vadim26 [7]

Answer:

473 books to each class

Step-by-step explanation:

2365÷5=473

4 0
2 years ago
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HELPPPP i’ll give brainliest if it’s right!!!
STALIN [3.7K]

Answer:

the answer is A and D

Step-by-step explanation:

5 0
2 years ago
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In the triangle below, what is the cosine of 45?
Colt1911 [192]
Cosine = adjacent / hypotenuse
cosine = 1 / square root (2)

7 0
3 years ago
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