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madam [21]
3 years ago
13

What is the inverse of y = 16x^2 + 1

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0
X = 16y^2 + 1
x - 1 = 16y^2
(x - 1)/16 = y^ 2
( (x-1) / 16 ) ^1/2 = y
( (x-1) ^ 1/2 ) / 4 = y
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Which situation can be represented by the equation 4d + 5 = 29?
lys-0071 [83]

Answer:

d=6

Step-by-step explanation:

subtract 5 from both sides

then simplify what you get

then divide both sides by 4

then simplify to get answer

4 0
3 years ago
If 6 is a factor of a number, what other numbers must be factors of<br> the number?
zysi [14]

Answer:

2 and 3

Step-by-step explanation:

6 = 2 × 3, so if a number is divisible by 6, it is also divisible by 2 and 3.

8 0
3 years ago
if the variance of the data values in a population is 256, what is the standard deviation of the data values?
kumpel [21]
The standard deviation is the square root of the variance

so if the variance is 256, then the standard deviation is : sqrt 256 = 16 <==
5 0
3 years ago
The length of human pregnancies from conception to birth varies according to an approximately normal distribution with a mean of
Varvara68 [4.7K]

Answer:

A) 68.33%

B) (234, 298)

Step-by-step explanation:

We have that the mean is 266 days (m) and the standard deviation is 16 days (sd), so we are asked:

A. P (250 x < 282)

P ((x1 - m) / sd < x < (x2 - m) / sd)

P ((250 - 266) / 16 < x < (282 - 266) / 16)

P (- 1 < z < 1)

P (z < 1) - P (-1 < z)

If we look in the normal distribution table we have to:

P (-1 < z) = 0.1587

P (z < 1) = 0.8413

replacing

0.8413 - 0.1587 = 0.6833

The percentage of pregnancies last between 250 and 282 days is 68.33%

B. We apply the experimental formula of 68-95-99.7

For middle 95% it is:

(m - 2 * sd, m + 2 * sd)

Thus,

m - 2 * sd <x <m + 2 * sd

we replace

266 - 2 * 16 <x <266 + 2 * 16

234 <x <298

That is, the interval would be (234, 298)

6 0
3 years ago
Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Check al
natka813 [3]
Find the slope of the line first:
5x - 2y = -6,
y = (5/2)x + 3;
Since we need a line that's perpendicular, m = - (2/5).

The only equation that has the slope of this m is 2x + 5y = -10;
8 0
3 years ago
Read 2 more answers
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