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3 years ago

Which is a factor of x2 + 8x – 48? (x – 6) (x + 4) (x – 16) (x + 12)

Mathematics

2 answers:

MaRussiya [10]3 years ago

8 0

Answer:

(x+12)

Step-by-step explanation:

The middle number is 8 and the last number is -48.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 8

Multiply together to get -48

Can you think of the two numbers?

Try -4 and 12:

-4+12 = 8

-4*12 = -48

Fill in the blanks in

(x+_)(x+_)

with -4 and 12 to get...

(x-4)(x+12)

But, since (x-4) isn't an option, the answer would be (x+12)

timofeeve [1]3 years ago

6 0

Answer:

(x + 12)

Step-by-step explanation: It's D on edg

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Later, Alexis is looking at a different set of coins: this time only dimes and nickels. She has twice as many nickels as dimes,

musickatia [10]

9514 1404 393

Answer:

16 dimes
32 nickels

Step-by-step explanation:

Consider a group of 1 dime and 2 nickels. The value of it is 0.20. The total value of all such groups is 3.20, so there must be ...

3.20/0.20 = 16 . . . . . groups of coins

That is, there are 16 dimes and 32 nickels.

5 0

3 years ago

Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a

aev [14]

Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find - What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = $\frac{12}{52}$

Probability of getting a other card = $\frac{40}{52}$

So,

Expected value, E[x] = ∑ x p(x)

= (16)( $\frac{12}{52}$ ) + (3)( $\frac{40}{52}$ )

= $\frac{192}{52} + \frac{120}{52}$

= $\frac{312}{52}$

= 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

4 0

3 years ago

A rental car company charges $42.72 per day to rent a car and $0.10 for every mile driven. Zoey wants to rent a car, knowing tha

Colt1911 [192]

Answer:

7 Days

Step-by-step explanation:

Miles cost:

$0.10 * 200 = $20

Daily Cost

Her budget at this point is $330 because $350 - $20 (the miles)

$330 / 42.72 = Roughly 7.72

Therefore Zoey can drive for 7 days before her budget runs out.

6 0

3 years ago

Describe how to transform the graph of g(x)= ln x into the graph of f(x)= ln (3-x) -2.

Strike441 [17]

Answer:

The graph of g(x) = ㏑x translated 3 units to the right and then reflected

about the y-axis and then translated 2 units down to form the graph of

f(x) = ㏑(3 - x) - 2

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

function g(x) = f(-x)

- If the function f(x) translated horizontally to the right

by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left

by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down

by k units, then the new function g(x) = f(x) – k

* lets solve the problem

∵ Graph of g(x) = ㏑x is transformed into graph of f(x) = ㏑(3 - x) - 2

- ㏑x becomes ㏑(3 - x)

∵ ㏑(3 - x) = ㏑(-x + 3)

- Take (-) as a common factor

∴ ㏑(-x + 3) = ㏑[-(x - 3)]

∵ x changed to x - 3

∴ The function g(x) translated 3 units to the right

∵ There is (-) out the bracket (x - 3) that means we change the sign

of x then we will reflect the function about the y-axis

∴ g(x) translated 3 units to the right and then reflected about the

y-axis

∵ g(x) changed to f(x) = ㏑(3 - x) - 2

∵ We subtract 2 from g(x) after horizontal translation and reflection

about y-axis

∴ We translate g(x) 2 units down

∴ g(x) translated 3 units to the right and then reflected about the

y-axis and then translated 2 units down

* The graph of g(x) = ㏑x translated 3 units to the right and then

reflected about the y-axis and then translated 2 units down to

form the graph of f(x) = ㏑(3 - x) - 2

7 0

3 years ago

Read 2 more answers

Easy question easy points yall :p

yarga [219]

Answer:

+or- 8

Step-by-step explanation:

take the square root of 64

8 0

3 years ago

Read 2 more answers