All categories

3 years ago

16x 2 + 8x - 15 Mathematics?

1 answer:

5 0

If you're factoring, your answer is

(4x - 3)(4x + 5)

You'll work it out this way:

16x^2 + 8x - 15

Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:

16x^2 + 20x - 12x - 15

From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:

4x(4x + 5) - 3(4x + 5)

Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to

(4x - 3)(4x + 5)

You might be interested in

PLEASE HELP !

rewona [7]

<h3>Answer: Choice D) -$22</h3>

You'll lose on average $22 per roll.

====================================================

Explanation:

Normally there is a 1/6 chance to land on any given side of a standard die, but your friend has loaded the die in a way to make it have a 40% chance to land on "1" and an equal chance to land on anything else. Since there's a 40% chance to land on "1", this leaves 100% - 40% = 60% for everything else.

Let's define two events

A = event of landing on "1".
B = event of landing on anything else (2 through 6).

So far we know that P(A) = 0.40 and P(B) = 0.60; I'm using the decimal form of each percentage.

The net value of event A, which I'll denote as V(A), is -100 since you pay $100 when event A occurs. So we'll write V(A) = -100. Also, we know that V(B) = 30 and this value is positive because you receive $30 if event B occurs.

To recap things so far, we have the following:

P(A) = 0.40
P(B) = 0.60
V(A) = -100
V(B) = 30

Multiply the corresponding probability and net value items together

P(A)*V(A) = 0.40*(-100) = -40
P(B)*V(B) = 0.60*30 = 18

Then add up those products:

-40+18 = -22

This is the expected value, and it represents the average amount of money you earn for each dice roll. So you'll lose on average about $22. Because the expected value is not zero, this means this game is not mathematically fair.

This does not mean that any single die roll you would lose $22; instead it means that if you played the game say 1000 or 10,000 times, then averaging out the wins and losses will get you close to a loss of $22.

7 0

2 years ago

What is a sample space?

Arisa [49]

Be more spasific by that

8 0

3 years ago

The escape velocity from planet Earth is 11,184.7258 meters per second. If a ship reaches this speed and maintains it, then negl

Masteriza [31]

Answer:

Step-by-step explanation:

Distance between earth and moon in meters = 386400 x 10³ m

Speed of ship = 11184.7258 m / s

Time taken = distance of moon from earth / speed of ship

= 386400 x 10³ / 11184.7258

= 34.5471 x 10³ s

= 34.5471 x 10³ / 60 x 60 hour

= 9.596 hours

6 0

3 years ago

25 points Please explain your answer, thank you!

Mashutka [201]

The answer is B.

For an expression to be a polynomial term, any variables in the expression must have whole number powers.

-3/x isn’t a polynomial term because the variable is in the denominator.

7 0

3 years ago

Read 2 more answers

Determine the value of X

dolphi86 [110]

Answer:

The value of x is 15 ⇒ answer D

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.

- It can become larger or smaller, but the shape of the

figure does not change.

- The scale factor, measures how much larger or smaller

the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- If the scale factor is negative then the figure will reflected

* Now lets solve the problem

∵ D (o, k) (x , 9) → (-10 , -6)

- D means dilation

- o means the center of dilation is the origin

- k means the scale factor of dilation

∵ The y-coordinate of the point is 9

∵ The image has y-coordinate -6

∵ The image = The scale factor × the coordinates

∴ -6 = k × 9 ⇒ divide both sides by 9

∴ k = -6/9 = -2/3

- Lets find x by same way

∵ -10 = -2/3 × x ⇒ divide both sides by -2/3

∴ x = -10 ÷ (-2/3) ⇒ change the division to multiplication

∴ x = -10 × (-3/2) = 30/2 = 15

∴ The x-coordinate of the point before dilation is 15

* The value of x is 15

6 0

3 years ago