Eight more than twice a number is 24

Mathematics

1 answer:

alina1380 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

You would start off by writing your equation 24=2x+8 .

Then you would subtract 8 from each side getting you 16=2x.

After this you should divide each side by 2 giving you 8=x.

Which is your answer.

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If y varies inversely as x and y is 2.5 when x is 6, what is y when x is 4? a. 3.75 b. 1.67 c. 0.1 d. 7.5 Please select the best

REY [17]

Because y varies inversely as x, therefore
$y= \frac{k}{x}$
where k = constant.

When x = 6, y = 2.5. Ther efore
$\frac{k}{6} = 2.5$
Cross multiply.
k = 6 x 2.5 = 15

The equation is
$y = \frac{15}{x}$

When x = 4, obtain
$y = \frac{15}{4}= 3.75$

Answer: a. 3.75

8 0

3 years ago

Read 2 more answers

Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? give an example

polet [3.4K]

Yes, we can obtain a diagonal matrix by multiplying two non diagonal matrix.

Consider the matrix multiplication below

$\left[\begin{array}{cc}a&b\\c&d\end{array}\right] \left[\begin{array}{cc}e&f\\g&h\end{array}\right] = \left[\begin{array}{cc}a e+b g&a f+b h\\c e+d g&c f+d h\end{array}\right]$

For the product to be a diagonal matrix,

a f + b h = 0 ⇒ a f = -b h
and c e + d g = 0 ⇒ c e = -d g

Consider the following sets of values

$a=1, \ \ b=2, \ \ c=3, \ \ d = 4, \ \ e=\frac{1}{3}, \ \ f=-1, \ \ g=-\frac{1}{4}, \ \ h=\frac{1}{2}$

The the matrix product becomes:

$\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}\frac{1}{3}&-1\\-\frac{1}{4}&\frac{1}{2}\end{array}\right] = \left[\begin{array}{cc}\frac{1}{3}-\frac{1}{2}&-1+1\\1-1&-3+2\end{array}\right]= \left[\begin{array}{cc}-\frac{1}{6}&0\\0&-1\end{array}\right]$

Thus, as can be seen we can obtain a diagonal matrix that is a product of non diagonal matrices.

8 0

3 years ago

Read 2 more answers

Help please. Will put brainliest

Murrr4er [49]

Answer:

17,750
1737

Step-by-step explanation:

A suitable table or calculator is needed.

One standard deviation from the mean includes 68.27% of the total, so the number of bottles in the range 20 ± 0.16 ounces will be ...

0.6827·26,000 = 17,750 . . . . . within 20 ± 0.16

The number below 1.5 standard deviations below the mean is about 6.68%, so for the given sample size is expected to be ...

0.66799·26,000 = 1737 . . . . . below 19.76

_____

<em>Comment on the first number</em>

The "empirical rule" tells you that 68% of the population is within 1 standard deviation (0.16 ounces) of the mean. When the number involved is expected to be expressed to 5 significant digits, your probability value needs better accuracy than that. To 6 digits, the value is 0.682689, which gives the same "rounded to the nearest integer" value as the one shown above.