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2 years ago

Which of the following equations is equivalent to y = 2x + 1?

Mathematics

2 answers:

charle [14.2K]2 years ago

8 0

Answer:

-2x+y=1

Step-by-step explanation:

jeyben [28]2 years ago

5 0

Answer:

C. -2x+y=1

Step-by-step explanation:

If we move 2x to the other side of the equation, its sign will change from positive to negative.

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Solve the quadratic equation by completing the square.<br> =+x^2+16x +61=0

Vlad1618 [11]

X^2 + 16x + 61 = 0
x^2 + 16x = -61
x^2 + 16x + 64 = -61 + 64
(x + 8)^2 = 3
x + 8 = (+-) sqrt 3
x = -8 (+-) sqrt 3

x = -8 + sqrt 3...and x = -8 - sqrt 3 <== ur solutions

3 0

2 years ago

Find the periodic withdrawals PMT for the annuity given. HINT [See Example 4.] (Assume end-of-period withdrawals and compounding

Anettt [7]

It depends on if the interest rate of 6% is nominal or not. The question doesn't specify. Let's assume that is is a nominal rate, compounded monthly.
Start with 100000 = x * a angle 132 at .5% per month
This becomes 100000 = x * (1-1.005^-132)/.005
Which becomes (100000(.005))/(1 - 1.005^-132) = x
So x is the PMT, which is 1036.70.

8 0

2 years ago

Factor −1/4 out of −1/2x−5/4y..ㅤ

hammer [34]

Answer:

- 1/4 (2x + 5y)

Step-by-step explanation:

Divide each term by - 1/4 first

-1/2x ÷ (- 1/4) = 1/2x × 4 = 2x
-5/4y ÷ (- 1/4) = 5/4y × 4 = 5y

Now facor out - 1/4

- 1/2x - 5/4y =
- 1/4 (2x + 5y)

3 0

2 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

2 years ago

Triple the difference of 29 and 19

natta225 [31]

Answer:

Step-by-step explanation:

29 - 19 = 10 (difference)

triple 10 now:

10 x 3 = 30

7 0

1 year ago