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3 years ago

Which polynomials are in standard form

Mathematics

1 answer:

Mama L [17]3 years ago

5 0

Answer:

The second option, x^4 - 8x^2 - 16.

Step-by-step explanation:

Polynomials in standard form start with the highest degree, from greatest to least exponent. After all terms with exponents are in order, alphabetical variables are next. In this case there's only x. Last are constant terms, which are by itself, with no variable next to it/an exponent to the right of it.

x^4 - 8x^2 - 16 is in standard form because it follows the criteria above. 4 is the highest degree since it's the highest exponent in the polynomial expression, which is why it starts off with x^4. Other terms with lesser exponents are next. In this case, it's 8x^2 with the less exponent of 2. Finally, it ends with your constant term, -16.

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The point (6, - 5) is reflected across the y axis what is the new point

jonny [76]

Answer:

(-6, -5)

Step-by-step explanation:

Reflection across the y-axis leaves the point on the same horizontal line, but with the sign of its x-coordinate changed.

(x, y) ⇒ (-x, y) . . . . . reflection across the y-axis

(6, -5) ⇒ (-6, -5)

The image point is (-6, -5).

8 0

2 years ago

What is 78% of 40?? please help me

xxTIMURxx [149]

$p\%=\frac{p}{100}\\\\78\%=\frac{78}{100}=0.78\\\\therefore\\\\78\%\ of\ 40=0.78\cdot40=\boxed{31.2}$

6 0

3 years ago

Read 2 more answers

A 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense he

Orlov [11]

Answer:

We conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are effective.

Step-by-step explanation:

We are given that in a 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field.

Among 264264 trials, the touch therapists were correct 105105 times.

Let p = proportion that touch therapists uses a random guess method.

Here, random guess means; p = 50%

So, Null Hypothesis, $H_0$ : p = 50% {means that the touch therapists use a method equivalent to random guesses}

Alternate Hypothesis, $H_A$ : p $\neq$ 50% {means that the touch therapists does not use a method equivalent to random guesses}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of touch therapists were correct = $\frac{105}{264}$ = 0.39

n = sample of trials = 264

So, test statistics = $\frac{\frac{105}{264} -0.50}{\sqrt{\frac{\frac{105}{264}(1-\frac{105}{264})}{264} } }$

= -3.395

The value of z test statistics is -3.395.

Now, at 0.05 significance level the z table gives critical value of -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are effective.

3 0

2 years ago

Who is faster The Flash or Quicksilver? I want a source to back up your answer

nikdorinn [45]

Answer:

The flash.

Step-by-step explanation:

He used to max out at Mach 1. Since crossover events are exceedingly rare, it is safe to assume that if you were comparing their speeds, the Flash is consistently faster than Quicksilver, though operationally speaking both could be consider comparable since their feats tend to be done at the same overall speed.

3 0

3 years ago

Read 2 more answers

the diameter of one species of bacteria is shown. bonnie approximates this measure as 3 x 10^-11 meter. is she correct? explain.

stich3 [128]

Answer:

Step-by-step explanation:

No picture of the bacteria provided, but according to some text books its arround 0.2 - 2m in micrometer measurement, so 3 x 10^-11 is far more smaller than the range.

5 0

3 years ago