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3 years ago

Find the 11th term of the geometric sequence 7, -28, 112, ...

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

3 0

Answer:

-7,340,032

Step-by-step explanation:

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Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression

Brut [27]

The area of rectangle with length l and width w is

$A=l\cdot w.$

If the length of rectangle is expressed as $l=3x^2 + 5x + 10$ and the width of rectangle is expressed as $w=x^2-3x-1$ , then the area of rectangle is

$A=(3x^2 + 5x + 10)(x^2-3x-1)=3x^4-4x^3-8x^2-35x-10.$

8 0

3 years ago

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

3 years ago

Ben is the youngest of four children. Bob is 5 years older than Ben, Bridget is twice as old as Bob, and Brian is 3 years younge

zhannawk [14.2K]

Answer:

bob is 7 Brian is 11 and bridget is 14

Step-by-step explanation:

if ben is 2 and bob is 5 years older then him he would be 7 if Brian is 3 years younger then bridget he would be 11 and if bridget is 2 times older than bob she would be 14.

5 0

3 years ago

Which expression is equivalent to −10+(−40)+(−90) ?

Igoryamba

The answer is D because -10+(-40)+(-90) is the same just swiched

8 0

3 years ago

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PLS HELP ME ASAP WITH QUESTION 30! THANK YOU SO MUCH!!!

nika2105 [10]

30. is just asking where the two equations graphed intersect each other...

x = -3 and x = 1 for intersections.

8 0

3 years ago