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xz_007 [3.2K]
3 years ago
14

How do i figure our what half if 13is

Mathematics
2 answers:
Bumek [7]3 years ago
7 0
13 divided by 2 is 6.5
andrew11 [14]3 years ago
3 0
13/2 = 6.5 because 6.5 plus 6.5 equals 13
Hope this helps!
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A certain high school has 1,488 students. If you subtract the number of girls from boys you get 78. Let x be the number of boys
Dahasolnce [82]

Answer:

boys = 705

girls = 783

Step-by-step explanation:

We are to find the number of boys and girls in the school

the answer can be determined using simultaneous equation

x = boys

y = girls

y - x = 78  equation 1

y + x  = 1488 equation 2

subtract equation 1 from 2

2x = 1410

x = 1410/2 = 705

Substitute for x in equation 1

y - 705 = 78

y = 705 + 78 = 783

3 0
2 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
Isabella backed cookies for 3 hours. She spent the same amount of time baking each batch. It took her one eighth an hour to bake
katovenus [111]

I believe it is 24 batches:

because there are 8/8 in one hour, so you multiply that by three. which would give you 24!

5 0
3 years ago
Jim's car repair charges $50 plus $16 for every pint of oil. Sam's car repair charges $80 plus $14 for every pint of oil. At how
vova2212 [387]

Answer:

5 pints of oil for 8 dollars

Step-by-step explanation:

1.65 dollars for 1 pint

3.4/2=1.7 dollars for 1 pint

8/5=1.6 dollars for 1 pint

17.6/10=1.76 dollars for 1 pint

33/20=1.65 dollars for 1 pint

3 0
3 years ago
The length of a rectangular floor is 2 feet more than its width. The area of the floor is 168 square feet. Kim wants to use a ru
ioda
Let width of the floor be x feet, them area is
x(x+2)  = 168
x^2 + 2x - 168 = 0
(x - 12)(x + 14) - 0
so x = 12
the floor is 12 ft by 10 ft

the width of the rug should be 10 - 2(2) = 6 feet


4 0
3 years ago
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