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Natalka [10]
3 years ago
5

F(x)=2(x)^2+5 (x+2) f(2)

Mathematics
1 answer:
ehidna [41]3 years ago
3 0

Answer:

f=

−2x^2+y /10x+20

Step-by-step explanation:

Let's solve for f.

y=2x^2+5(x+2)f(2)

Step 1: Flip the equation.

10fx+2x^2+20f=y

Step 2: Add -2x^2 to both sides.

10fx+2x^2+20f+−2x^2=y+−2x^2

10fx+20f=−2x^2+y

Step 3: Factor out variable f.

f(10x+20)=−2x^2+y

Step 4: Divide both sides by 10x+20.

f(10x+20) /

10x+20

=

−2x2+y

10x+20

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mylen [45]

Answer:

B) 8x10^(-8)

Hope it helps

7 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
Which exponential function is represented by the values in the table?
svlad2 [7]

Here we use the equation

y = a(b)^x

Taking points (0,4), (1,2)

Substituting the point (0,4) , we will get

4 = a(b)^0
\\
4 = a(1)  \\
a =4

Substituting (1,2) we will get

2 = 4 (b)^1
\\
2/4 = b
\\
b = 1/2

So we have

a = 4, b = 1/2

Therefore , required equation is

y = 4(1/2)^x

7 0
3 years ago
Read 2 more answers
Question 2 (1 point)
Papessa [141]

Answer:

55.734 mph

Step-by-step explanation:

Let's call the wind speed x and the time of flight t.

Then, we can write the following equation, knowing that the distance is equal speed times time of flight:

910 = (350+x) * t

660 = (350-x) * t

If we isolate t in both equations and compare its value, we have that:

910 / (350+x) = 660 / (350-x)

(350+x)/(350-x) = 910/660

350 + x = 1.3788 * (350-x)

350 + x = 482.58 - 1.3788x

2.3788x = 132.58

x = 55.734 mph

4 0
3 years ago
Two requirements to be employed within a certain company are that you must be at least 18 years of age and have had more than on
sergiy2304 [10]

Answer:

Step-by-step explanation:

4 0
3 years ago
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