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stellarik [79]
2 years ago
6

I need help plz cmon

Mathematics
1 answer:
PolarNik [594]2 years ago
7 0

Answer: 84

Step-by-step explanation:

4 x 21 is 84 a fraction can be simplified and be a whole number so if 84 divided by 4 it will be 21 if you want to write it as a fraction it will be 21/1 which is equal to 21

Did it help? :)

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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
7 times what gives me 36
Zolol [24]
To get the answer, divide 36 by 7. And the answer of that is 5.1428571428571429
8 0
2 years ago
A new Firestone tire is guaranteed to last for 40,000 miles. The actual mean life of the tires is 47,000 miles with a standard d
Rus_ich [418]

Answer:

a) 95.99%

b) 4.01%

c) 00.62%

Step-by-step explanation:

Explanation is given in the attachments.

3 0
2 years ago
What is 392 rounded to nearest ten
NikAS [45]
Because the ones place is under 5, we round down, and 392 becomes 390 when rounded to the nearest 10
7 0
2 years ago
Read 2 more answers
GUYS PLEASE HELP ME!!
Musya8 [376]
<h3>The surface area of cube is 162.24 square inches</h3>

<em><u>Solution:</u></em>

<em><u>The surface area of cube is given as:</u></em>

Surface\ Area = 6s^2

Where,

"s" is the length of each side of cube

From given,

s = 5.2 inches

Therefore,

Surface\ Area = 6 \times 5.2^2\\\\Surface\ Area =  6 \times 27.04\\\\Surface\ Area = 162.24

Thus the surface area of cube is 162.24 square inches

7 0
3 years ago
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