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uysha [10]
3 years ago
10

At the beach, 39% of people are on the boardwalk and 23% are on the sand. If the rest are in the water, what percentage of peopl

e are in the water?
Mathematics
1 answer:
frozen [14]3 years ago
6 0
100% - (39% + 23%) = 100% - 62% = 38% <== the percentage of ppl in the water
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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
Polynomial<br> Simplify The expression to a<br> in standard form<br> (x+3) (2x²+9 x-2)
maw [93]

Answer:

2x3+15x2+25x−6

Step-by-step explanation:

Multiply each term in the first expression by each term in the second expression and combine like terms.

6 0
3 years ago
3. You sell storm windows and doors. You receive a straight
OLEGan [10]

Answer:

\$3886.8

Step-by-step explanation:

Commission received on selling each storm window =8\% of the selling price of each storm window

Commission received on selling each door =12\% of the selling price of each door

Amount earned on selling storm windows = $5,400

Amount earned on selling doors = $28,790

Commission received on selling storm windows =\frac{8}{100}(5,400)=\$432

Commission received on selling doors =\frac{12}{100}(28,790)=\$3454.8

Therefore,

Total  commission received =432+3454.8=\$3886.8

5 0
3 years ago
Hi, can someone please tell me the factors of 2,3,4,5,6,7,8,9,10,11 and 12? Sorry, it is a lot!
alexira [117]
Sure.
Factors of 2= 1 & 2
Factors of 3= 1 & 3
Factors of 4= 1, 2, and 4
Factors of 5= 1 & 5
Factors of 6= 1, 2, 3, and 6
Factors of 7= 1 & 7
Factors of 8= 1, 2, 4, 8
Factors of 9= 1, 3, 9
Factors of 10= 1, 2, 5, 10
Factors of 11= 1 & 11 
Factors of 12= 1, 2, 3, 4, 6, and 12

Tip: Also, a factor of any number is always 1 and itself, because you can always multiply any number by one to get the same number. 

Hope I helped! :D
5 0
3 years ago
HELP! What is the slope of the line in the graph? <br>A. -4/3 <br>B. -3/4 <br>C. 3/4 <br>D. 4/3
Oliga [24]

Answer:

I think it is D

Step-by-step explanation:

4 0
3 years ago
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