If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?

Answers

Answer 1

Answer:

27

Step-by-step explanation:

Answer 2

If  [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex],  then the value of  [tex]f(8)[/tex] is  [tex]f(8) = \frac{-93}{4480}[/tex].

What is Quadratic Equation?

A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex]  are the real numbers.

We have

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

According to Quadratic Equation,

[tex]f(x)=ax^{2} +bx+c[/tex]

And we have,

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

So,

[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

i.e. putting [tex]x=8[/tex],

[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]

[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]

Solving the above part,

[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]

[tex]f(8) = \frac{-93}{4480}[/tex]

Hence, we can say that value of  [tex]f(8) = \frac{-93}{4480}[/tex] .

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Related Questions

A hot air balloon was flying at an altitude of 150 meters when the pilot decided to land by descending at a rate of 3 yards per second . For which of these functions does y represent the altitude of the hot air balloon represents the number of seconds since the pilot started her landing ? A.y=-3x+150 B. y=-3x-150 C.y=3x+150 D.y = 3x - 150

Answers

Answer:

A

Step-by-step explanation:

y = -3x + 150

I hope this is right.

Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x

Answers

Answer:

Let's solve your inequality step-by-step.

3600+1.02x<2000+1.04x

Step 1: Simplify both sides of the inequality.

1.02x+3600<1.04x+2000

Step 2: Subtract 1.04x from both sides.

1.02x+3600−1.04x<1.04x+2000−1.04x

−0.02x+3600<2000

Step 3: Subtract 3600 from both sides.

−0.02x+3600−3600<2000−3600

−0.02x<−1600

Step 4: Divide both sides by -0.02.

−0.02x

−0.02

<

−1600

−0.02

x>80000

Step-by-step explanation:

James calculated the height of a cylinder that has a volume of 324 pi cubic inches and a radius of 12 inches. His work is shown below. V = B h Step 1: 324 pi = pi 12 squared h Step 2: 324 pi = 24 pi h Step 3: StartFraction 324 pi over 24 pi EndFraction = StartFraction 24 pi over 24 pi EndFraction h Step 4: h = 13.5 pi inches What is the first error that James made when calculating the height of the cylinder? In step 1, he substituted into the volume formula incorrectly. In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24. In step 4, the Pi should have canceled, making the correct answer 13.5 cm. James calculated the height of the cylinder correctly.

Answers

Answer:

I believe the answer is B let me know if it's wrong

Answer:

(B) In step 2, he calculated 12 squared incorrectly. It should be 144 rather than 24.

Evaluate the following expression when n = 6.
|n - 6| - |5 - n|

Answers

Answer:

-1

Step-by-step explanation:

1. Substitute n with 6 because n=6

2. Then you simply solve both sides so (6-6)-(5-6) because n=6

3.so then you get the absolute value of 0 subtracted by the absolute values of -1

4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1

5. So the final answer is -1

Sorry if this was confusing, I’m really bad at explaining. :)

Answer:

|n-6|-|5-n|

=|6-6|-|5-6|

=|0|-|-1|

=0-1

=-1

JK has endpoints located at J(15, - 13) and K(-9, 27). What are the coordinates of the midpoint of JK?

Answers

Answer:

[tex](3,7)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point J (15, -13)

Point K (-9, 27)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint.

Substitute [MP]:                    [tex](\frac{15-9}{2},\frac{-13+27}{2})[/tex]Subtract/Add:                       [tex](\frac{6}{2},\frac{14}{2})[/tex]Divide:                                   [tex](3,7)[/tex]

Two communication companies offer calling plans. With company x, it cost 35 cents to connect and then 5 cents for each minute.With company y, it cost 15 cents to connect and the 4 cents for each minute. Write and simplify an expression that represents how much more company x charges than company y, in cent, for n minutes

Answers

Answer:

34

Step-by-step explanation:

Subtract and divide

The amount of money company x charges than company y, in cent, for n minutes will be (20 + n) cents.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

With company x, it cost 35 cents to connect and then 5 cents for each minute.

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Now,

Since, With company x, it cost 35 cents to connect and then 5 cents for each minute.

Hence, The cost for n minutes with company x is,

⇒ 35 + 5n

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Hence, The cost for n minutes with company y is,

⇒ 15 + 4n

Thus, The amount of money company x charges than company y, in cent, for n minutes = 35 + 5n - (15 + 4n)

                     = 35 + 5n - 15 - 4n

                     = (20 + n) cents

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Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10

Answers

Answer:

−4x^3+12

Step-by-step explanation:

2+3x^3-7x^3+10

simplify this

−4x3+12

which model represents 1/3​

Answers

Answer:2nd one because 2/6=1/3

Step-by-step explanation:

Error Analysis

On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 7b+ m + 8. Jake says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?

The coefficient(s) of the expression is are __
Use a comma to separate answers as needed.)

The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)

What error might Jake have made?

A. Jake said 7 is a coefficient. It is actually a constant.
OB. Jake said 8 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Click to select your answer's).

Answers

The coefficient(s) of the expression is/are 7, 1

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are 8

(Use a comma to separate answers as needed.)

What error might Jake have made?

OD. Jake did not include the coefficient 1.

Click to select your answer's

0.000603 in scientific notation

Answers

6.03 x 10^-4 That is 6.03 times 10 to the negative 4 power.

express the scientific notation:4830000000 with all formula​

Answers

Answer:

4.83 * 10^9

Step-by-step explanation:

Here, we want to express the given number in scientific notation

What we have to do here is to place the decimal number at the back of the first non zero number

The first non zero number is 4

So

let us count the number of digits after the first non zero number

That will be 9

So we make this the power of 10

And our answer will be;

4.83 *10^9

A rule for creating a pattern is given below. Rule: Multiply X by 3. Then subtract 1 from the result to get y.

Answers

Answer:

y=3x-1

Step-by-step explanation:

which expression can be written as 5x(2+7)

Answers

Answer:

Step-by-step explanation:

5x(2+7)

10x+35x

45x

There are no choices. But above is the answer if I need to solve it.

Answer: -25x

HOPE THIS HELPS

Factor the following by completing the square w^4-22w^2+9

Answers

Answer:

(w² - 4w - 3) (w² + 4w - 3)

Step-by-step explanation:

w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9

Huilan's age is two times Thomas's age. The sum of their ages is 18. What is Thomas's age?

Answers

Answer:

Huilan is 12 and Thomas is 6

Step-by-step explanation:

Answer:

thomas is 6 years old

Step-by-step explanation:

if he is 6. 6x2=12 +6 =18

Expand the expression 2(y + 5x)

Answers

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

Estimate and then solve 8,784 ÷ 61 = ___. answers: 133 134 143 144 I WILL MARK U BRAINLEIST IF ITS RIGHT​

Answers

Answer:

The answer is 144

Step-by-step explanation:

Answer:

Ummm...

8,784/61=

144, D ??

in the expression 15- the sum of 6 and. 7 do you add or subtract first

Answers

Answer:

Add

Step-by-step explanation:

By the way this question was worded, I'm going to say add. If I were to write the expression out, I personally would write it like this:

[tex]15-(6+7)[/tex]

And parentheses always occur first.

Hope this helps!

What is the discriminate?

Answers

so it’s basically asking for the difference

Help will give crown

Answers

G and H are 5 units apart.

G is at (-3, -4), and H is at (2, -4)

-3 and 2 are 5 units apart, -3+5=2. 2-5=-3

Is this true or false? The following graph represents a proportional relationship
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Find two numbers with sum 82 and difference 30.

Answers

Answer: I think it would be 112.

Step-by-step explanation:

One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help

Answers

Answer:

C. Obtuse

Step-by-step explanation:

How much is 2% of 3.50

Answers

Answer:

.07

Step-by-step explanation:

3.50 * 2% = .07

or

3.50 * .02 = .07

Solve for x.
(x + 13) ft
24 ft

Answers

Answer:

x = 9.

Step-by-step explanation:

If you meant (x + 13) = 24, then we first must subtract 24 by 13.

24 - 13 = 9

Now, check your work by replacing the "x" with 9.

(9+ 13) = 24

24 = 24 <----- This is a true statement.

Therefore, x = 9.

Hope this helps! :D

Express 0.495 in standard form

Answers

Answer:

4.95 x 10^-1

Step-by-step explanation:

4.95 x 10^-1

4.95 x 10^-1 is your answer.

What is the area of a rectangle with a width of x2 + x + 1 and a length of
3x2 - 2x - 1?

Answers

Answer:

[tex]x^{4}[/tex] + 3x³ - 3x - 1

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lw ( l is the length and w the width ) , thus

A = (3x² - 2x - 1)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, then

A = 3x²(x² + x + 1) - 2x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis

   = 3[tex]x^{4}[/tex] + 3x³ + 3x² - 2[tex]x^{4}[/tex] - 2x² - 2x - x² - x - 1 ← collect like terms

   = [tex]x^{4}[/tex] + 3x³ - 3x - 1

how do we find the value of y when x = 0​

Answers

Answer:

both variables are just 0-

Simplify 81 to the negative 3 fourths power. (1 point)

Question 8 options:

1)

−27

2)

negative 1 over 27

3)

27

4)

1 over 27

Answers

Answer:

negative 1 over 27

Step-by-step explanation:

81 * negative 1 over 27 = -3

Answer:

[tex] \dfrac{1}{27} [/tex]

Step-by-step explanation:

[tex] 81^{-\frac{3}{4}} = [/tex]

[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]

[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]

[tex] = \dfrac{1}{(3)^3} [/tex]

[tex] = \dfrac{1}{27} [/tex]

Can someone explain to me how to get the answer:

-3 |2d| = 12

Answers

-3×2d=12

-6d=12

d=12÷(-6)

then d= -2

Hope this helps.

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