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kupik [55]
3 years ago
10

31 pointsWhich answer shows a reflection across the y-axis?

Mathematics
1 answer:
WARRIOR [948]3 years ago
4 0

Answer:

i think it is d

Step-by-step explanation:

because it is the only one going across the y-axis and it is a reflection

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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.

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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.

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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
Which expression can you substitute
valina [46]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:(30/19,2/19)

Equation Form: x=30/19, y=2/19

7 0
2 years ago
Please help me with this
balandron [24]
It would be the last one because 5 columns are shaded and there are 10 columns all together. 50/100= 0.5
6 0
3 years ago
Read 2 more answers
Whats the answer to 8.4 + 0.18x = 0.32x
Sveta_85 [38]

Step-by-step explanation:

0.32x - 0.18x = 8.4 \\ 0.14x = 8.4 \\ x =  \frac{8.4}{0.14}  \\ x = 60

3 0
2 years ago
Charlie and Andy solve this problem in two different ways.
hammer [34]
Subtracted then divided
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