Choose the correct simplification of the expression −5x2(4x − 6x2 − 3).30x4 − 20x3 + 15x2
−11x4 − x3 − 8x2
−30x4 + 20x3 − 15x2
30x4 + 20x3 + 15x2

Answers

Answer 1
Answer: If you would like to solve -5x^2 * (4x - 6x^2 - 3), you can do this using the following steps:

-5x^2 * (4x - 6x^2 - 3) = (-5x^2) * 4x - (-5x^2) * 6x^2 - (-5x^2) * 3 = -20x^3 + 30x^4 + 15x^2 = 30x^4 - 20x^3 + 15x^2

The correct result would be 30x^4 - 20x^3 + 15x^2.
Answer 2
Answer:

Answer:

Option A is correct

30x^4-20x^3+15x^2

Step-by-step explanation:

The distributive property says that:

a \cdot (x +y +z) = a\cdot x+ a\cdot y+ a\cdot z

Given the expression: 5x^2(4x-6x^2-3)

Using distributive property :

-5x^2 \cdot (4x) - 5x^2 \cdot (-6x^2) -5x^2 \cdot (-3)

Use: x^a \cdot x^b = x^(a+b)

then;

-20x^3+30x^4+15x^2

or

30x^4-20x^3+15x^2

Therefore, the correct simplification of the given  expression is 30x^4-20x^3+15x^2


Related Questions

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.
The arrow at the maze entrance indicates that the robot will be heading east when it enters the maze. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. At the start of the maze, what is the value of d?
The radius of a sphere is 6 centimeters. Which is the volume of the sphere?
Twice the difference of a number and 5
Find the solution to the following equation by transforming it into a perfect square trinomial. x2 – 10x = 39

Quadrilateral QRST is a square. If the measure of QR 3x-6 and TS is 6-x. Find the value of x.

Answers

Answer:

x = 3

Step-by-step explanation:

Since the quadrilateral QRST is a square, all sides are equal

Therefore QR must be equal to TS

3x - 6 = 6 - x

4x = 12

x = 3

the soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5x + 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

Answers

5x+10y = 800
replace y by 50:  5x+10(50) = 800
                            5x+500 = 800
                            5x = 800-500
                            5x = 300
                            x = 300/5
                            x = 60
60 small vehicles were washed in total.

proof: 5x+10y = 800
replace x=60 and y=50
       so; 5(60) +10(50) =800
             300 + 500 = 800
                     800 = 800

Answer:

60 in total

Step-by-step explanation:

proof: 5x+10y = 800

replace x=60 and y=50

      so; 5(60) +10(50) =800

            300 + 500 = 800

                    800 = 800

On 4-7 how do you write the ratio and find the answer?

Answers

Basic trig concepts you have to keep in mind:
SOH CAH TOA
Sine: Opposite of the angle over the hypotenuse
Cosine: Adjacent over hypotenuse
Tangent: Opposite over adjacent
I'll do one of the problems, you should be able to do the rest (It's good practice ;))
sin(L) = 12/15

If a smoothie recipe calls for 8 pints of mango juice but only 10 cups of mango juice are available, what is the scaling factor the other ingredients in the recipe need to be multiplied by?

Answers

The amount of recipes is 6
1.25 if you are increasing the amount 0.8 if you are decreasing.

If n-2 = 1/16, then n could be which of the following?-8
-4
-1/4
1/4
4

Answers

Answer:

The correct options are 2 and 5. The value of n is either -4 or 4.

Step-by-step explanation:

The given equation is

n^(-2)=(1)/(16)

Using the property of exponent it can be written as

(1)/(n^(2))=(1)/(16)             [\because a^(-n)=(1)/(a^n)]

On comparing both the sides we get

n^2=16

Taking square root both the sides.

n=\pm√(16)

n=\pm 4

The value of n is either -4 or 4. Therefore the correct options are 2 and 5.

The answer is 4

4^-2 = .0625 or 1/16

Find x in picture below.
a. 4
b. 6
c.12

Answers

Answer:

C.12

Step-by-step explanation:

Apply the formula for tangent-secant

Let the cord length inside the circle to be y

According to the tangent-secant relation

(3+y)/6 = 6/3

cross multiply

3(3+y)=6*6

9+3y=36

3y=36-9

3y=27

y=27/3

y=9

Distance x = y+3

x=9+3=12