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Hatshy [7]
3 years ago
12

Let f(x) = 4x3 + 3x2 − 20x − 15 and g(x) = 4x + 3. Find f of x over g of x.

Mathematics
1 answer:
serg [7]3 years ago
8 0

Answer:

4x^2+15x+15+\frac{35}{x-3}

Step-by-step explanation:

Let f(x) = 4x3 + 3x2 − 20x − 15 and g(x) = 4x + 3. Find f of x over g of x.

\frac{f(x)}{g(x)} \\\frac{4x^3 + 3x^2 - 20x - 15}{4x+3}

4x^2+15x+15+\frac{35}{x-3}

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B(n)=1 (-2)^n-1<br> What is the 4th term in the sequence
zzz [600]

Answer:

The fourth term of the sequence B(4) =-8

The sequence is 1,-2,4,-8...

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the sequence

     B(n) = 1(-2)ⁿ⁻¹

Put n=1

    B(1) = 1(-2)¹⁻¹ = 2⁰ =1

Put n=2

   B(2) = 1(-2)²⁻¹ = (-2)¹ =-2

Put n=3

  B(3) =1(-2)³⁻¹ = (-2)² =4

Put n=4

B(4) = 1(-2)⁴⁻¹ =(-2)³ =-8

The sequence

1,-2,4,-8...

5 0
3 years ago
Due Today!!!!
Anettt [7]
This would be true.

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3 years ago
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Atul has 2/3 lb of candy. Jose has 3/5 lb and Maria has 1/2 lb less then José. How many more pounds of candy does Atul have than
liraira [26]

Given:

Atul has \dfrac{2}{3} lb of candy.

Jose has \dfrac{3}{5} lb of candy.

Maria has \dfrac{1}{2} lb less than Jose.

To find:

How many more pounds of candy does Atul have than Maria?

Solution:

Since, Maria has \dfrac{1}{2} lb less than Jose, therefore

Maria has = \dfrac{3}{5}-\dfrac{1}{2} lb

Maria has = \dfrac{6-5}{10} lb

Maria has = \dfrac{1}{10} lb

Difference between the candies Atul and Maria have.

Difference = \dfrac{2}{3}-\dfrac{1}{10} lb

Difference = \dfrac{20-3}{30} lb

Difference = \dfrac{17}{30} lb

Therefore,  Atul have \dfrac{17}{30} lb of candy more than Maria.

6 0
3 years ago
$3 is what percent of $40
givi [52]
It is 7.5% of 40, hope this helps you
6 0
2 years ago
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The toy shop is located at (-2, 3) and the ice skating rink is located at (-2, -5). Plot these points on the coordinate grid. If
natta225 [31]

Answer:

8 miles

Step-by-step explanation:

We start by calculating the distance between the two points

To calculate this, we use the distance formula

Let the distance be D

We have the formula as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-2+2)^2 + (-5-3)^2

D = √(64)

D = 8 units

Since 1 unit is 1 mile,

then 8 units will be 8 * 1 = 8 miles

7 0
3 years ago
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