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Sergio039 [100]
3 years ago
5

Evaluate the given equation for the indicated function values. pls help

Mathematics
1 answer:
Xelga [282]3 years ago
8 0

Answer:

The answer in each numeral is:

  1. <u>f(4) = 28</u>
  2. <u>f(10) = -19</u>
  3. <u>f(-5) = -33</u>
  4. <u>f(9) = -9</u>

Step-by-step explanation:

To obtain the result in each case, you must replace the variable (n) by the value that appears in the second case, I'll explain it with the first exercise:

  • 1. f(n) = 5n + 8
  •   f(4) = ?

As you can see, in the second doesn't appear f(n), but f(4), that means you must replace the "n" in the equation by 4, if we do this, we obtain:

  • 1. f(4) = 5*(4) + 8
  • f(4) = 20 + 8
  • <u>f(4) = 28</u>

The first answer is 28, now we'll continue with the next exercises:

  • 2. f(n) = -2n + 1
  • f(10) = -2*(10) + 1
  • f(10) = -20 + 1
  • <u>f(10) = -19</u>

  • 3. f(n) = 6n - 3
  • f(-5) = 6*(-5) - 3
  • f(-5) = -30 - 3
  • <u>f(-5) = -33</u>

  • 4. f(n) = -n
  • <u>f(9) = -9</u>

In this form, <u><em>you can prove the answers are: 28, -19, -33, and -9 respectively</em></u>.

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Neko [114]

Answer:

P(x) = x^3 - 10x^2+ 34x-40

Step-by-step explanation:

Given

p =1 -- Leading coefficient

Zeros: 4\ and\ 3  - i

Required

Determine the polynomial

Represent the zeros with a and b

Such that

a = 4

b = 3 - i

The polynomial is:

P(x) = p * (x - a) * (x - b)

P(x) = 1 * (x - 4) * (x - (3 - i))

However, to solve further: We need to symmetrise over 3-i  and its conjugate

P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))

P(x) =  (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\

To define a suitable function, the expression becomes

P(x) =  (x - 4) * ((x - 3)^2+1)

P(x) =  (x - 4) * ((x - 3)(x - 3)+1)

P(x) =  (x - 4) * (x^2 - 6x + 9+1)

P(x) =  (x - 4) * (x^2 - 6x +10)

Open bracket

P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40

P(x) = x^3 - 6x^2  - 4x^2+10x + 24x-40

P(x) = x^3 - 10x^2+ 34x-40

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2 years ago
Under what operations are the set of integers closed? Explain your answer. UPDATE ANSWER IS
stich3 [128]

Answer:

see below

Step-by-step explanation:

Closed under addition, subtraction and multiplication

Not closed under division :-

for example  3/4 = 0.75 which is not an integer

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3 years ago
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Write the equation of the line shown in the table below in slope intercept form.
creativ13 [48]

Answer:

y=5/2x+9

Step-by-step explanation:

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2 years ago
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Help me please, need this done now.
Nikolay [14]

simplifying \frac{\sqrt{4}}{\sqrt[3]{4}} we get 4^{\frac{1}{6}}

Option B is correct.

Step-by-step explanation:

We need to simplify: \frac{\sqrt{4}}{\sqrt[3]{4}}

Solving:

\frac{\sqrt{4}}{\sqrt[3]{4}}

We know that √ = 1/2 and ∛=1/3

\frac{4^{\frac{1}{2}}}{4^{\frac{1}{3}}}

Applying exponent rule: \frac{x^a}{x^b}=x^{a-b}

=4^{\frac{1}{2}-\frac{1}{3}}\\=4^{\frac{3-2}{6}}\\=4^{\frac{1}{6}}

So, simplifying \frac{\sqrt{4}}{\sqrt[3]{4}} we get 4^{\frac{1}{6}}

Option B is correct.

Keywords: Solving Exponents  

Learn more about Solving Exponents at:

  • brainly.com/question/13174260
  • brainly.com/question/13174254
  • brainly.com/question/13174259

#learnwithBrainly

6 0
3 years ago
12.
harina [27]

Answer:

h = 5.705m

Step-by-step explanation:

Volume of a cylinder

V = πr^2h

V - volume of the cylinder

π - pie

r - radius of the cylinder

h - height of the cylinder

Given :

V = 363 cubic meters

d = 9m

h = ?m

d = 2r

d - diameter

r - radius

r = d/2

r = 9/2

π- 3.142

Insert the values into the formula of volume of cylinder

V = πr^2h

363 = 3.142 * (9/2)^2 * h

363 = 3.142 * 81/4 * h

363 = 63.6255h

Divide both sides by 63.6255 to get the value of h

363/63.6255 = 63.6255h/63.6255

5.705 = h

h = 5.705m

8 0
3 years ago
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