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2 years ago

Given a/b=x+5, solve for B

Mathematics

1 answer:

anygoal [31]2 years ago

7 0

Answer:

Refer the attachment for the answer

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Find a cubic function with the given zeros.

Fed [463]

Answer:

The correct option is D) $f(x) = x^3 + 2x^2 - 2x - 4$ .

Step-by-step explanation:

Consider the provided cubic function.

We need to find the equation having zeros: Square root of two, negative Square root of two, and -2.

A "zero" of a given function is an input value that produces an output of 0.

Substitute the value of zeros in the provided options to check.

Substitute x=-2 in $f(x) = x^3 + 2x^2 - 2x + 4$ .

$f(x) = x^3 + 2x^2 - 2x + 4\\f(x) = (-2)^3 + 2(-2)^2 - 2(-2) + 4\\f(x) =-8 + 2(4)+4 + 4\\f(x) =8$

Therefore, the option is incorrect.

Substitute x=-2 in $f(x) = x^3 + 2x^2 + 2x - 4$ .

$f(x) = x^3 + 2x^2 + 2x - 4\\f(x) = (-2)^3 + 2(-2)^2 + 2(-2) - 4\\f(x) =-8+2(4)-4-4\\f(x) =-8$

Therefore, the option is incorrect.

Substitute x=-2 in $f(x) = x^3 - 2x^2 - 2x - 4$ .

$f(x) = x^3 - 2x^2 - 2x - 4\\f(x) = (-2)^3 - 2(-2)^2 - 2(-2) - 4\\f(x) =-8-8+4-4\\f(x) =-16$

Therefore, the option is incorrect.

Substitute x=-2 in $f(x) = x^3 + 2x^2 - 2x - 4$ .

$f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-2)^3+2(-2)^2 - 2(-2) - 4\\f(x) =-8+8+4-4\\f(x) =0$

Now check for other roots as well.

Substitute x=√2 in $f(x) = x^3 + 2x^2 - 2x - 4$ .

$f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (\sqrt{2})^3+2(\sqrt{2})^2 - 2(\sqrt{2}) - 4\\f(x) =2\sqrt{2}+4-2\sqrt{2}-4\\f(x) =0$

Substitute x=-√2 in $f(x) = x^3 + 2x^2 - 2x - 4$ .

$f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-\sqrt{2})^3+2(-\sqrt{2})^2 - 2(-\sqrt{2}) - 4\\f(x) =-2\sqrt{2}+4+2\sqrt{2}-4\\f(x) =0$

Therefore, the option is correct.

8 0

3 years ago

Juan is on his way home and his new car. He has driven 36 miles so far which is 3/4 of the way home. What is the total length of

Anarel [89]

Answer:

48 miles

Step-by-step explanation:

36/3 = 12 so 4/4 would be 48

3 0

1 year ago

Help please and thank you!!!!!

Zigmanuir [339]

9514 1404 393

Answer:

a) 2 and 4; b) 1&2, 2&3, 3&4
x = 16

Step-by-step explanation:

1a. Vertical angles share a vertex and are composed of opposite rays. Here, angles 2 and 4 are vertical angles.

1b. Consecutively numbered angles are adjacent, as are angles 1 and 5. The pairs of interest can be chosen from ...

1&2, 2&3, 3&4, 4&5, 5&1

2. Angles 1 and 3 have the same measure, because they are vertical angles. Then we have ...

78° = (5x -2)°

80 = 5x . . . . . . . divide by °, add 2

16 = x . . . . . . . divide by 5

8 0

2 years ago

Algebra 1 math test no links help!!

castortr0y [4]

Answer:

-1

Step-by-step explanation:

f(2) = 12- 26/2 = 12- 13 = -1

7 0

2 years ago

Read 2 more answers

Sandra needs to obtain a random sample of 20 students from her school, in order to do a project for her statistics class. Which

ser-zykov [4K]

Answer: D) At the next school assembly, choose one student from each of 20 randomly selected rows.

Step-by-step explanation:

A wouldnt be correct because it is all students from the spots program

B isnt correct because it is 10 girls and 10 boys from the girls' and boys' soccer teams

C wouldnt be correct because it would be the first 20 students she sees once she leaves statistics class

D is the only unbiased, completely random selection choice.

3 0

3 years ago

Read 2 more answers