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1 year ago

If f(x) = 2x +1 and g(x) = -x2,

Mathematics

1 answer:

Blizzard [7]1 year ago

8 0

The value of (f·g)(x) from the given function is -2x³ - x².

The given functions are f(x) = 2x +1 and g(x) = -x².

<h3>What is the function?</h3>

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here,

(f·g)(x) = f(x) × g(x)

= (2x +1) × (-x²)

= 2x × (-x²) + 1 × (-x²)

= -2x³ - x²

Therefore, the value of (f·g)(x) from the given function is -2x³ - x².

To learn more about the function visit:

brainly.com/question/28303908.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

If f(x) = 2x +1 and g(x) = -x², then find (f·g)(x).

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Surface area of the cylinder = 816.4 sq. ft.

Solution:

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3 years ago

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Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. how many 1/6 foot cubic boxes can she fit int

navik [9.2K]

Answer: $28\ cubes$

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

The formula for calculate the volume of a rectangular prism is:

$V_{rp}=lwh$

Where "l" is the lenght, "w" is the width and "h" is the height.

We need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:

$1\frac{1}{6}=\frac{(6*1)+1}{6}=\frac{7}{6}$

Then the volume of the shipping box is:

$V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{7}{54}ft^3$

Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

$\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28$

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3 years ago

Which statement describes the lines whose equations are y=1/3x+12 and 6y=2x+6

ICE Princess25 [194]

First, you should solve both equations for the same variable. Since the first one is already solved for y, solve the second equation for y as well.

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You can see that both lines have a slope of $\frac{1}{3}$ .
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3 years ago

Please help and show all work so I can fully understand it, thanks.

seraphim [82]

Answer:

$\frac{1}{m-4}$

Step-by-step explanation:

$\frac{\frac{4m-5}{m^4 -7m^3 +12m^2}}{\frac{4m-5}{m^3 -3m^2}}$

Factor the equation:

$\frac{\frac{4m-5}{m^2(m^2 -7m+12)}}{\frac{4m-5}{m^2(m-3)}}$

$\frac{\frac{4m-5}{m^2(m-3)(m-4)}}{\frac{4m-5}{m^2(m-3)}}$

Rewrite to suit the format of multiplying two fractions. Remember, dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second. A reciprocal of a fraction is when one switches the place of the numerator and the denominator, that is, the value on top (numerator), and the value on the bottom (denominator).

$\frac{4m-5}{m^2(m-3)(m-4)}*\frac{m^2(m-3)}{4m-5}$

Simplify, take out common terms that are found on both the numerator and denominator

$\frac{4m-5}{m^2(m-3)(m-4)}*\frac{m^2(m-3)}{4m-5}$

$\frac{1}{m-4}$

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3 years ago