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2 years ago

Order the following from least to greatest 143, 341, 341, 143, 14,000, 43,043

2 answers:

5 0

I was about to say it was already in order, but the other 143 under the two 341's needed to be moved with the other 143.

Ierofanga [76]2 years ago

4 0

143

341

14,000

43,043

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Use matrices and elementary row to solve the following system:

LiRa [457]

I assume the first equation is supposed to be

$5x-3y+2z=13$

and not

$5x-3x+2x=4x=13$

As an augmented matrix, this system is given by

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\4&-2&4&12\end{array}\right]$

Multiply through row 3 by 1/2:

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\2&-1&2&6\end{array}\right]$

Add -1(row 2) to row 3:

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\0&0&5&5\end{array}\right]$

Multiply through row 3 by 1/5:

$\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\0&0&1&1\end{array}\right]$

Add -2(row 3) to row 1, and add 3(row 3) to row 2:

$\left[\begin{array}{ccc|c}5&-3&0&11\\2&-1&0&4\\0&0&1&1\end{array}\right]$

Add -3(row 2) to row 1:

$\left[\begin{array}{ccc|c}-1&0&0&-1\\2&-1&0&4\\0&0&1&1\end{array}\right]$

Multiply through row 1 by -1:

$\left[\begin{array}{ccc|c}1&0&0&1\\2&-1&0&4\\0&0&1&1\end{array}\right]$

Add -2(row 1) to row 2:

$\left[\begin{array}{ccc|c}1&0&0&1\\0&-1&0&2\\0&0&1&1\end{array}\right]$

Multipy through row 2 by -1:

$\left[\begin{array}{ccc|c}1&0&0&1\\0&1&0&-2\\0&0&1&1\end{array}\right]$

The solution to the system is then

$\boxed{x=1,y=-2,z=1}$

5 0

2 years ago

What is the domain of f(x) 5^x-7?

kherson [118]

Domain is the set of number you can use for x we can use any number for x the domain is all real numbers answer is last one

3 0

2 years ago

There are five families that each have one child. Each of them hires Riley as a babysitter. Because the children she babysits ar

GREYUIT [131]

Answer:

Average Rate of Pay = $ 5.23 /hr

Step-by-step explanation:

We have a data in form of Hours of Baby Sitting and Amount of Pay. Since the Amount of pay depends upon the Hours of Baby Sitting. Thus, we take y = Amount of Pay, while x = Hours of Baby Sitting. So, the data becomes:

x (Hours) = 12 13 16 17 20

y ($) = 54 56 65 64 100

The statistical data calculated is:

∑x = 78, ∑x² = 1258, ∑y = 339, ∑xy = 5504, n = no. of data points = 5

Now, we use linear regression model to fit a straight line to this data.

y = a + bx --------- eqn (1)

where,

b = [ n∑xy - ∑x.∑y]/[n∑x² -(∑x)²]

b = [ (5)(5504) - (78)(339)]/[(5)(1258) - (78)²]

b = 5.23

and,

a = (∑xy - b∑x²)/∑x

a = [5504 - (5.23)(1258)]/78

a = -13.83

Therefore, eqn (1) becomes:

The graph plot of this straight line fit is provided in the attachments.

Now, we derivate the equation with respect to x, to get the average rate of pay:

Average Rate of Pay = dy/dx = d/dx(-13.83 + 5.23x)

<u>Average Rate of Pay = $ 5.23 /hr</u>

8 0

2 years ago

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

lesantik [10]

Answer:

Option B

Step-by-step explanation:

Given equation is

$y=\frac{-1}{5(x+5)^{2} } +2$

The original graph would be

$y=-\frac{1}{x^{2} }$

From this transformations done are

a) horizontal shift of 5 units to the left

b) shrink vertical by scale factor 1/5

c) vertical shift of 2 units up

Hence option A is not right

Option B is right.

Similarly C and D are not right.

4 0

3 years ago

Are the triangles congruent? If so, how do you know?

Komok [63]

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there. So in other words no matter what way it is flipped or anything else that does not change the numbers on the sides it is congruent.

7 0

2 years ago

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