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vova2212 [387]
3 years ago
11

What are the zeros of f(x) = x2 – 8x + 16?

Mathematics
2 answers:
beks73 [17]3 years ago
8 0
It would be
Answer: the zeroes are at
x = 4
Explanation:
Factor it out:
ask yourself: what factors multiply to
16 and add up to − 8

thus
f(x) = (-4)(x - 4) x - 4 = 0

X = 4



rusak2 [61]3 years ago
3 0
<span>x^2 – 8x + 16 = 0
        (x - 4)^2 = 0
              x - 4 = 0
                  x  = 4

hope it helps</span>
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Si Martha retira de su cuenta el 10% para los transportes del mes. ¿Cuál es el nuevo saldo de la cuenta?
notsponge [240]

Respuesta:

0,9 veces

Explicación paso a paso:

Deje que la cantidad en la cuenta de Martha se denote como x, que es la cantidad en la cuenta = x

Porcentaje retirado para transporte = 10%

El porcentaje total siempre será del 100%

Por lo tanto, si se retira el 10%, entonces; el porcentaje restante es:

Porcentaje total: porcentaje gastado en transporte

(100% - 10%) * monto en cuenta

90% * x = 0,9 * x = 0,9x

Saldo de cuenta nueva = 0.9x

8 0
3 years ago
3) 5 fl. oz. of a 2% alcohol solution was mixed with 11 fl.
dangina [55]

Answer:

<em>The concentration of the new mixture is 46%</em>

Step-by-step explanation:

The first solution of 5 fl. oz. is concentrated at 2% alcohol. The amount of alcohol in the solution is:

5*2/100=0.1 fl. oz.

The second solution of 11 fl. oz. is 66% alcohol. The amount of alcohol in the solution is:

11*66/100=7.26 fl. oz.

The total alcohol in the mixture is

0.1 + 6.6 = 7.36 fl. oz.

The total amount of the mixture is:

5 + 11 = 16 fl.oz.

The concentration of the new mixture is:

7.36 / 16 * 100 = 46%

The concentration of the new mixture is 46%

3 0
3 years ago
How do you find the volume of a cylinder with a hight of 8 and a radius of 12
Nonamiya [84]

Answer:

 πr²h

=  π×12²×8

=  1152π

=  3619.1147369354 feet³

Step-by-step explanation:

8 0
3 years ago
If Jefferson is drawing cards from a deck, and draws a 4 of hearts and a 10 of diamonds, what is this situation considered?
katrin2010 [14]
<h3>Answer:  A) Outcome</h3>

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

Explanation:

We can rule out "theoretical probability" since that concept deals with doing the math on paper, rather than getting out an actual deck of cards to compute the probability. If your teacher stated "the probability of drawing an ace is 1/13", then s/he would be using theoretical probability. We have a 1 in 13 chance to theoretically pick an ace out of all 52 cards since 4/52 = 1/13. No cards are needed to do such calculations. But if you actually pull out a deck of cards and randomly select them, then you'd be leaning toward empirical or experimental probability.

So in short, we can rule out choice B.

We can also rule out "complement" since the two situations of "drawing a 4" and "drawing a 10" aren't opposite. If it said something like "drawing a red card or drawing a black card", then those two events are opposite. The two events fully compose all the deck of cards (sample space). You either will draw a red one, or a black one, but not both colors at the same time.

So we're down to the answer being either A) outcome or D) event. At first glance, these two terms seem almost identical. However, they mean slightly different things.

Let's pick apart what each of those terms mean.

----------------

The outcome is the result of an event. An event is some specific action that you may or may not want to happen, and it's usually phrased within the parameters your teacher set up.

For example, we can define the event "it rains outside". So we're setting up the specific action of raining. Whether we want it or not doesn't really matter. The outcome would be the actual result of if the event happens or not. So if it does truly rain on day 1, then the outcome "rain" is what is recorded for day 1. Then if its dry on day 2, then "no rain" is the outcome for that second day. And so on.

Going back to the cards, one event could be set up as "selecting a heart card" with the outcome being "selected a 4 of hearts". The event is the rule set up and the outcome is the result we observe. To compute the empirical or experimental probability, we divide the number of times we get a specific event to occur over the total number of possible

---------------

Let's look at another example.

We'll roll a single die that has 6 faces on it. The set of possible outcomes are {1,2,3,4,5,6}. Only one outcome is possible per roll.

If we roll the die and it lands on 5, then the outcome is 5. This is the final result of the trial or experiment.

We can define an event like "A = rolling an even number", and then ask the question "what is the probability event A occurs?" In other words, we would be asking "what is the probability of rolling an even number?"

---------------

I suppose now that I think about it, we can state,

  • outcome = some single action you observe
  • event = collection of outcomes (usually some pattern to it)

as a loose way of telling the difference between the two terms.

Ultimately, the observations of getting a 4 of hearts and 10 of diamonds are considered an outcome.

4 0
3 years ago
What are the prime factorizations for 37, 144, 147, and 205?
8_murik_8 [283]
37: 37
144: 2 x 2 x 2 x 2 x 3 x 3
147: 3 x 7 x 7
205: 5 x 41
8 0
3 years ago
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