In a sequence described by a function, what does the notation f(3) = 1 mean?

leva [86]

$\sf 2x^2 - 8x = - 7 \\ \\ Subtract \ -7 \ from \ both \ sides \ of \ the \ equation. \\ \\ 2x^2 - 8x - (-7 ) = - 7 - (-7) \\ \\ 2x^2 - 8x + 7 = 0 \\ \\ Use \ quadratic \ formula \ a = 2, b = -8, c = 7 \\ \\ x = \dfrac{- b \pm \sqrt{b^2- 4ac} }{2a} \\ \\ \\ x = \dfrac{-(-8) \pm \sqrt{(-8)^2 - 4 (2) (7) } }{2(2)} \\ \\ x = \dfrac{8 \pm \sqrt{8} }{4} \\ \\ x = 2 + \frac{1}{2}\sqrt{2} \ or \ x = 2 + \frac{-1}{2} \sqrt{2}$

Ur answer is the fourth one

7 0

3 years ago

Read 2 more answers

2.5kg cost £1.40<br> what is the cost of 4.25kg

madreJ [45]

Answer:

it is 5.7

Step-by-step explanation:

4.25 × 1.40

5.95 - 0.25

5.7 or 5.70

8 0

3 years ago

ΔABC is dilated by a scale factor of 0.25 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (-1,

Leni [432]

Answer:

5

Step-by-step explanation:

To find B and C prime, you must multiply them by .25, or 1/4.

B' =

(-2 x .25),(1 x .25)

I did mine in fraction form, because it will prove to be more useful in future mathematics.

B' = (1/2 , 1/4)

Repeat the process with C.

C' =

(14 x .25),(17 x .25)

C' =

(7/2 , 17/4)

You only need to focus on B and C because you are finding the length of B'C'.

The formula for distance is the square root of x to the sub of 2 minus x to the sub of 1 squared minus y to the sub of 2 minus y to the sub of 1 square.

x2 - x1 = 7/2 - 1/2 = 6/2 = 3 squared = 9

y2 - y1 = 17/4 - 1/4 = 16/4 = 4 squared = 16

16 + 9 = 25

Square root of 25 is 5.

Therefore, the distance is 5.

8 0

3 years ago

New York City is the most expensive city in the United States for lodging. The mean hotel room rate is per night (USA Today, Apr

kow [346]

Answer:

$P(X$

Step-by-step explanation:

Assuming a mean of $204 per night and a deviation of $55.

a. What is the probability that a hotel room costs $225 or more per night (to 4 decimals)?

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean"

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the cost per night at the hotel, and for this case we know the distribution for X is given by:

$X \sim N(204,55)$