MATHEMATICS HIGH SCHOOL

What.is the product 2x(x- 4)

Answers

Answer 1
Answer:

Answer:

2x(x−4)

=(2x)(x+−4)

=(2x)(x)+(2x)(−4)

=2x^2−8x
Answer 2
Answer:

Answer:

2x²-8x

Step-by-step explanation:

you first multiply the 2x by the thus 2x times x or 1x giving you 2x² and positive 2x times -4 will give you -8x

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Verify: (sinx+cosx)^2=1+sin(2x)

Answers

(sinx + cosx)² = 1 + sin(2x)

Since (a + b)² = (a + b)(a+b):
(sinx + cosx)(sinx + cosx) = 1 + sin(2x)

Now, multiply each member with another:
sin²x + sinxcosx + sinxcosx + cos²x = 1 + sin(2x)
⇒   sin²x + cos²x + 2sinxcosx = 1 + sin(2x)

Since sin²x + cos²x = 1 (Pithagorean identity):
1 + 2sinxcosx = 1 + sin(2x)

Since 1 + 2sinxcosx = 1 + sin(2x) (Double-angle identity):
1 + sin(2x) = 1 + sin(2x)

I need help on A and B

Answers

The average speed for the trip is calculated as the total distance covered ÷ total time taken
335 miles ÷ 6 hours = 55.833 mph

Rico,Carolina,and Gloria have pizza that they are going to be sharing with other people. Rico gave away 1/3 of his cheese pizza to Carolina and she gave him 3/7 of her pepperoni. Rico then gave Gloria 1/7 of his cheese pizza. How much pizza, pepperoni and cheese does Rico have now?

Answers

Rico now has one cheese, and three pepperoni slices. In total he has 4 slices.

A moving company had one seven of a ton of a weight to move across town. If they wanted to split it equally amongst 8 trip,how much weight they have on each trip?

Answers

so 1/7 divided by 8

equals to 1/ 56 tons per trip

The value of a boat, in dollars, x years after its purchase is represented by the function.f(x)=10,000(0.73)^x



What is the average decrease in value per year between years 1 and 2?

Answers

Given the function f(x) = 10000(0.73)^x

Where y is The value of a boat, in dollars, x years after its purchase 
at x = 1
f(1) = 10000(0.73)^1
f(1) = $7300  
at x = 2
f(2) = 10000(0.73)^2
f(2) = $ 5329  
so the decrease
D = $7300 - $ 5329
D = $ 1971

 

Answer:

The correct answer is $1971.

I just took the test and got it right.

Find the volume of a rectangular prism if the length is 3x2, the width is 2x, and the height is x2 + 3x + 5. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume. 
5x^5 + 18x^4 + 30x^3 
5x^6 + 18x^4 + 30x^3
 6x^5 + 18x^4 + 30x^3
 6x^6 + 18x^4 + 30x^3

Answers

You are given the length of arectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You arerequired to find the volume of a rectangular prism. Using the equation V = l xw x h, we multiply the three dimensions. 

V = l x w x h
V = (3x^2)(2x)( x^2 + 3x +5)
V = 2x (3x^4 + 9x^3 + 15x^2)
V = 6x^5 + 18x^4 + 30x^3 
The volume of the rectangularprism is 6x^5 + 18x^4 + 30x^3.
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