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muminat
3 years ago
5

5) Is 3 a zero (or root) of f(x) = x3 - 9x2 + 11x + 21?

Mathematics
1 answer:
frozen [14]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

f(x) = x³ − 9x² + 11x + 21

f(3) = (3)³ − 9(3)² + 11(3) + 21

f(3) = 27 − 81 + 33 + 21

f(3) = 0

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A shere has a diameter of 24 units what is it’s volume in cubic units
Vika [28.1K]

Answer:

7238 rounded to the nearest whole number.

Step-by-step explanation:

To find the volume of the sphere, we use the formula.

v =  \frac{4}{3} \pi  {r}^{3}

The radius will be 24 units ÷ 2 = 12 units.

Hence, the volume is

\frac{4}{3} \pi \times  {12}^{3}

When entered in a calculator you'll get a result of 7238.23 cubic units in or 7238 rounded to the nearest whole number.

4 0
3 years ago
For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a bico
svetlana [45]
Well i think is better expressed if x^2=9.then x=3, that will be better expressed. Now the converse if clearly false, since if x^2<span>=9</span> it is possible that <span>x=−3. I hope this is useful for you</span>
8 0
3 years ago
AB is parallel to CD,<br> a) Find the value of angle x.<br> b) work out the value of angle y.
anastassius [24]

Answer:

x=69°  y=69°

Step-by-step explanation:

Angle x is an alternate angle so it is equal to the angle above it (69)

Angle y is in a co-interior angle so you do the equation 180-111 which equals 69°

4 0
3 years ago
BC = x + 14, AB = x + 10, AC = 22
irinina [24]

ab = x + 10 \\  bc = x  + 14 \\ ac = 22  \\ (x + 10) + (x + 14) = 22 \\ x + x + 10 + 14 = 22 \\ 2x + 24 = 22 \\ 2x = 22 - 24  \\ 2x =  - 2 \\ x =  \frac{ -2}{2}  \\ x =  - 1

4 0
3 years ago
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te
MAXImum [283]

Answer:

  C.  <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

  • vertical scaling by a factor of 'a'
  • left shift by k units
  • up shift by c units

<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

  • k = 3
  • c = -4

The graph says the value of c is less than zero.

__

<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

8 0
2 years ago
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