1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lisov135 [29]
4 years ago
5

Consider the function f(x) = 20/√x and its second-degree polynomial P2 (x) = 20 - 10(x-1) + 7.5(x-1)^2 at x=0.8. Compute the val

ue of f(0.8) and P2 (0.8). Round your answer to four decimal places.(A) f(08) = 22.3607 P2(0.8) = 44.6000(B) f(08) = 22.3607 P2(0.8) = 22.3000(C) f(08) = 45.7214 P2(0.8) = 45.6000(D) f(08) = 21.3607 P2(0.8) = 21.3000(E) f(08) = 23.3607 P2(0.8) = 22.3000
Mathematics
1 answer:
krok68 [10]4 years ago
3 0

Answer:

f (0.8) = 22.3607 and P_{2} (0.8) = 22.300.

Step-by-step explanation:

According to the statement, f (x) = \frac{20}{\sqrt{x}}  and  P_{2}(x) = 20 - 10 (x-1) + 7.5 (x-1) ^ 2. Based on these definitions, at x=0.8 produce:

f (0.8) = \frac{20}{\sqrt {0.8}} = 22.3607.  On the other hand, you have to:

P_{2} (0.8) = 20 - 10 (0.8 -1) +7.5 (0.8 -1)^2

P_{2} (0.8) = 20 - 10 (-0.2) +7.5 (-0.2)^2 = 22.300

Then, it can be affirmed that f (0.8) = 22.3607 and P_{2} (0.8) = 22.300.

You might be interested in
The graph of the function f(x) = (x − 3)(x + 1) is shown.
Travka [436]

Answer:

Real values of x where x < -1

Step-by-step explanation:

Above the x-axis, the function is positive.

The function is decreasing when the gradient is negative.

The function has a positive

{x}^{2}

coefficient, therefore the vertex is a local minimum;

This means the gradients are negative before the vertex and positive after it;

To meet the conditions therefore, the function must be before the vertex and above the x-axis;

This will be anywhere before the x-intercept at x = -1;

Hence it is when x < -1.

8 0
3 years ago
Read 2 more answers
3.3(n-8)-n=1.2<br><br> Simplify! ::)
nydimaria [60]

Answer:

n=12

Step-by-step explanation:

3.3(n-8)-n=1.2

Distribute

3.3n -26.4 -n = 1.2

Combine like terms

2.3n -26.4 = 1.2

Add 26.4 to each side

2.3n -26.4+26.4 = 1.2 +26.4

2.3n = 27.6

Divide each side by 2.3

2.3n/2.3 = 27.6/2.3

n=12

8 0
3 years ago
If the function f(x) = (2x - 3)2 is transformed to g(x) = (-2x - 3), which type of transformation occurred?
san4es73 [151]

Answer:

A. horizontal reflection

Step-by-step explanation:

Given:

f(x)=(2x-3)^2

g(x)=(-2x-3)^2

To identify the type of transformation.

Solution:

On close observation of the functions we find the that sign of x has changed in g(x) with other terms being constant.

<em>Thus, the transformation statement can be given as:</em>

f(x)\rightarrow f(-x)

As:

f(x)=(2x-3)^2

f(-x)=(2(-x)-3)^2= (-2x-3)^2 = g(x)

The transformation f(x)\rightarrow f(-x) describes horizontal reflection of function across the y-axis.

Thus, f(x)  is horizontally reflected across y-axis to get g(x).

8 0
3 years ago
Given that sine of theta = 21/29, what is the value of cosine of theta, for 0° &lt; theta &lt; 90°?
fenix001 [56]

If the value of θ is 46.4°. Then the value of the cosine of θ will be 20/29.

<h3>What is trigonometry?</h3>

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The value of sine of θ is 21/29.

Then the value of θ will be

sin θ = 21/29

     θ = sin⁻¹(21 / 29)

     θ = 46.4°

Then the value of the cosine of θ will be

cos θ = cos 46.4°

cos θ = 20/29

More about the trigonometry link is given below.

brainly.com/question/22698523

#SPJ1

7 0
2 years ago
Solve the following inequality.<br> 7(6 - 4n) + 4n &gt; 138
DerKrebs [107]

Answer:

n <−4

42 - 28n + 4n >138

42 - 24n >138

-24n > 138 - 42

-24n >96

n <−96/24

N <−4

7 0
3 years ago
Other questions:
  • What is √p⁵q¹⁰ expressed in simplified form
    5·1 answer
  • The time a randomly selected individual waits for an elevator in an office building has a uniform distribution with a mean of 0.
    13·1 answer
  • The tax rate as a percent, r, charged on an item can be determined using the formula – 1 = r, where c is the final cost of the i
    9·2 answers
  • Please help will give brainist
    7·1 answer
  • The sum of the ages of Martin and his son Sherwin is 47 years. Martin's age is 2 years more than 4 times the
    14·1 answer
  • Harry reads that a particular element has an atom with a mass of 0.000000000012 grams. What is the weight of the atom expressed
    12·1 answer
  • Find the slope of the line that passes through (10, 10) and (5,14)
    5·1 answer
  • 23. Frank has a batting average of .310. Write this decimal as a fraction in simplest form. (1 point)
    14·2 answers
  • Natasha was thinking of a number. Natasha divides by 5, then adds 11 to get an answer of 11. What was the original number?
    8·1 answer
  • Alexander is a stockbroker he earns 14% commission each week last week he sold 5400 worth of stocks
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!