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LenaWriter [7]
4 years ago
8

HELPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
goblinko [34]4 years ago
3 0
Rate of change is slope
So change in y/change in x
150/3=50
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Points b,d, and f are midpoints of the sides of triangle ACE. EC=30 and DF= 17 find AC
Margaret [11]

Answer:

Your answer should be AC=2DF=34

Step-by-step explanation:


5 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
3 years ago
Which expression represents 8 less than 3 times a number?<br><br> 3n-8<br> 8-3n<br> 3-8n<br> 3-8
TEA [102]

Answer:

I'm pretty sure its b but I'm not sure I'm sorry if it's wrong

4 0
2 years ago
Read 2 more answers
Me pueden ayudar a saber el resultado y la operacion de la ecuacion 8-5x=8+2x por favor me urge
My name is Ann [436]
<span>8-5x=8+2x is to be solved for x.

Group the x terms together:    </span><span>8=8+2x+5x  =>  0 = 7x   =>  x = 0</span>
3 0
3 years ago
Read 2 more answers
How many different 5-digit numbers can be written using only numbers 0, 1, 2, 3, and 4, if number should contain each of these n
gizmo_the_mogwai [7]

Answer:

3125

Step-by-step explanation:

5* 5* 5* 5 = 3125

8 0
2 years ago
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