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VikaD [51]
3 years ago
8

Find f(k - 1) when f(x) = 5x^2+ 4x – 5.

Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0

Plug in k-1 to each x in the function.

f(k-1)=5(k-1)^2+4(k-1)-5

f(k-1)=5(k^2-2k+1)+4k-4-5

f(k-1)=5k^2-10k+5+4k-4-5

f(k-1)=5k^2-6k-4

Hope this helps.

頑張って!

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solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

7 0
3 years ago
John bought a pair of basketball shoes for $70. The sales tax on the shoes was $5.60. Which represents the sales tax rate?
lisabon 2012 [21]
8%

$5.60 x 100/ 70 = 8
5 0
3 years ago
Read 2 more answers
Adult men have heights with a mean of 69. 0 inches and a standard deviation of 2. 8 inches. find the z-score of a man who is 71.
Anarel [89]

The value of the z score is 1.03.

According to the statement

we have given that the value of mean and standard deviation and we have to find the value of the z score.

So, For this purpose we know that the

Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

And the given values are:

mean value = 69 inches

s.d value = 2.8 inches

And the value of x is 71.9 inches.

So, The Z score is

z = x - mean / standard deviation

substitute the values in it then

z = 71.9 - 69 / 2.8

then

z = 2.9 /2.8

z  = 1.03

So, The value of the z score is 1.03.

Learn more about Z Score here

brainly.com/question/25638875

#SPJ4

8 0
9 months ago
1) Given the equation ax + 3 2 = 6, solve for x.
ruslelena [56]
Ax + 32 =  6
     - 32  = -32
---------------------
 ax         = -26
----            -----
 a                a

1x          =  -26
                  -----
                     a

x             = -26
                  -----
                     a

4 0
2 years ago
Read 2 more answers
I will give BRAINIEST
Lilit [14]
I believe it’s c/100.
2=20
10 divided by 2 = 5.
Multiply 5 by 20. That equals 100.
4 0
2 years ago
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