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3 years ago

Which statement describes the translation of y = −1 over 5(x + 5)2 + 2 from standard position?

Mathematics

1 answer:

Marina86 [1]3 years ago

6 0

Here the standard position is y= x square.

And because of +2 with x, graph shifts to 2 units left . And because of 1/5, there is a vertical compression of 1/5 units. And there is a minus sign,because of which graph reflects across x axis . And In the end, because of +2, graph shifts by 2 units up .

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HELP PLZZZZZ

Dmitry_Shevchenko [17]

Answer: Option (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Explanation:

Given expression:

$(2^3)(2^{-4})$

Step-1: Add the exponents and keep the same base by using $x^a*x^b = x^{a+b}$ property.

$(2^3)(2^{-4}) = 2^{(3+(-4))} = 2^{-1}$

Step-2: The reciprocal of $2^{-1}$ is $\frac{1}{2^{-1}}$ , which is $2^1$

Step-3: The exponent of $2^1$ is +1; therefore, change the sign of exponent. The end expression will now become:

$2^{-1}$

Hence, the correct option is (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

3 0

4 years ago

Read 2 more answers

A recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with

tia_tia [17]

Answer:

Probability that deliberation will last between 12 and 15 hours is 0.1725.

Step-by-step explanation:

We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

Let X = length of time that juries deliberate on a verdict for civil trials

So, X ~ N( $\mu = 12.56, \sigma^{2} = 6.7^{2}$ )

The z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 12.56 hours

$\sigma$ = standard deviation = 6.7 hours

So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X $\leq$ 12)

P(X < 15) = P( $\frac{X-\mu}{\sigma}$ < $\frac{15-12.56}{6.7}$ ) = P(Z < 0.36) = 0.64058

P(X $\leq$ 12) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{12-12.56}{6.7}$ ) = P(Z $\leq$ -0.08) = 1 - P(Z < 0.08)

= 1 - 0.53188 = 0.46812

Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725

Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.

7 0

3 years ago

QUÉ ES EL BASTA NUMÉRICO

Lemur [1.5K]

Answer:

relating to or expressed as a number or numbers.

Step-by-step explanation:

8 0

2 years ago

Help please is it b?

iogann1982 [59]

I just took that quiz on k12. The answer is no solution. Hope I helped!

6 0

3 years ago

Read 2 more answers

A skydiver is falling 176 feet per second. How many feet per minute is he falling

Vlada [557]

The correct answer here is that if the skydiver is falling 176 feet per second, he is falling 10560 feet per minute. This can be worked out quite easily, by considering that if there are 60 seconds in a minute, we then need to work out the proportion of 176 feet/1 sec = x/60 sec. You then need to multiply 60 by 176 to get 10560, which is your answer.

3 0

3 years ago