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3 years ago

If f(x) = 4x2 and g(x) = x+1, find (f•g)(x)

Mathematics

1 answer:

slamgirl [31]3 years ago

7 0

Answer:

4x^3+4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x+1

(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2

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The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the li

dybincka [34]

Answer:

You are correct. The answer is $y=7x+13$

Step-by-step explanation:

First, we need to plug in our x value to the derviative's equation to find the slope of the line tangent to the graph, f

$f'(x)=-3x+4\\\\f'(-1)=-3(-1)+4\\\\f'(-1)=3+4\\\\f'(-1)=7$

Now that we have found the slope and have a given point: (-1,6) we can use the point slope formula to find the equation of the line tangent to the graph f.

$y-6=7(x+1)\\\\y-6=7x+7\\\\y=7x+13$

3 0

3 years ago

Select the correct answer.<br> Which sequence is not equivalent to the others?

Kobotan [32]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Determine the solution to the system of equations below: y = -3x + 6 and 3y = -2x - 3

TiliK225 [7]

Answer:

x = 3

y = -3

Step-by-step explanation:

We have two equations and are asked to solve for x and y.

y = -3x + 6

3y = -2x - 3

Substitute the y in the first equation in the second equation :

3(-3x + 6) = -2x - 3

Distribute :

-9x + 18 = -2x - 3

Solve for x by isolating it :

Subtract 18 from both sides :

-9x = -2x - 21

Add 2x to both sides :

-7x = -21

Divide -7 from both sides :

x = 3

Replace x in the first equation :

y = -3(3) + 6

y = -9 + 6

-9 + 6

y = -3

4 0

3 years ago

A linear model of this situation contains the values (15, 300.2) and (26, 177.88) where x represents the number of square inches

maw [93]

Answer: Paula starts with 301.5 yarns.

Step-by-step explanation:

Equation of a line passing through two points (a,b) and (c,d) is given by:-

$(y-b)=\dfrac{b-d}{a-c}(x-a)$

Given: x= number of square inches knitted on the scarf

y= number of yarns remaining on the ball of yarn

The equation of a line passing through (15, 300.2) and (26, 177.88):

$(y-300.2)=\dfrac{26-15}{177.88-300.2}(x-15)\\\\\Rightarrow (y-300.2)=\dfrac{11}{-122.32}(x-15)\\\\\Rightarrow (y-300.2)=\dfrac{11}{-122.32}(x-15)$

To find initial point, put x=0

$y-300.2=-\dfrac{11}{122.32}(0-15)\\\\\Rightarrow\ y-300.2=\dfrac{375}{278}\\\\\Rightarrow\ y=\dfrac{375}{278}+300.2\\\\\Rightatrrow\ y=301.5 \ \ (approx)$

Hence, Paula starts with 301.5 yarns.

5 0

2 years ago

Help asap will mark branniest thx

Paha777 [63]

Answer:

$(\pi)r ^{2} h \div 3$

Volume = 3.14 × 5² ×6 ÷ 3

volume = 157 cm³ B

6 0

2 years ago