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CaHeK987 [17]
2 years ago
13

Help, please I'm taking a test on plato

Mathematics
2 answers:
ratelena [41]2 years ago
5 0

Answer:mark me as brainliest plz

Step-by-step explanation:

it's c

STALIN [3.7K]2 years ago
5 0

Answer:

Your answer is C, x = 3 and y = -6.

Step-by-step explanation:

Hope this helps!

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If 32^2c= 8^c+7, what is the value of c
Leona [35]

\bf 32^{2c}=8^{c+7}~~ \begin{cases} 32=2\cdot 2\cdot 2\cdot 2\cdot 2\\ \qquad 2^5\\ 8=2\cdot 2\cdot 2\\ \qquad 2^3 \end{cases}\implies (2^5)^{2c}=(2^3)^{c+7} \\\\\\ 2^{5(2c)}=2^{3(c+7)}\implies \stackrel{\textit{if the bases are the same, then so are the exponents}}{5(2c)=3(c+7)\implies 10c=3c+21} \\\\\\ 7c=21\implies c=\cfrac{21}{7}\implies c=3

3 0
2 years ago
Read 2 more answers
This is Matrix for pre calc
gavmur [86]

The given system of equations in augmented matrix form is

\left[\begin{array}{cccc|c}3&2&-4&2&-23\\-6&1&2&4&-12\\1&-3&-3&5&-20\\-2&5&6&0&12\end{array}\right]

If you need to solve this, first get the matrix in RREF:

  • Add 2(row 1) to row 2, row 1 to -3(row 3), and 2(row 1) to 3(row 4):

\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&11&5&-13&37\\0&19&10&4&-10\end{array}\right]

  • Add 11(row 2) to -5(row 3), and 19(row 1) to -5(row 4):

\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&-91&153&-823\\0&0&-164&132&-1052\end{array}\right]

  • Add 164(row 3) to -91(row 4):

\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&-91&153&-823\\0&0&0&13080&-39240\end{array}\right]

  • Multiply row 4 by 1/13080:

\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&-91&153&-823\\0&0&0&1&-3\end{array}\right]

  • Add -153(row 4) to row 3:

\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&-91&0&-364\\0&0&0&1&-3\end{array}\right]

  • Multiply row 3 by -1/91:

\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]

  • Add 6(row 3) and -8(row 4) to row 2:

\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&0&0&-10\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]

  • Multiply row 2 by 1/5:

\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&1&0&0&-2\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]

  • Add -2(row 2), 4(row 3), and -2(row 4) to row 1:

\left[\begin{array}{cccc|c}3&0&0&0&3\\0&1&0&0&-2\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]

  • Multiply row 1 by 1/3:

\left[\begin{array}{cccc|c}1&0&0&0&1\\0&1&0&0&-2\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]

So the solution to this system is (w,x,y,z)=(1,-2,4,-3).

6 0
3 years ago
Give me the answers to thissss plssss rnnnn asapppp!!!!
soldier1979 [14.2K]

\\ 1. (3x ^{2}  + 2xy + 7) - (6x ^{2}  - 4xy + 3) \\  = 3x ^{2}  + 2xy + 7 - 6x ^{2}  + 4xy - 3 \\  = 3x ^{2}  -  {6x}^{2}  + 2xy + 4xy + 7 - 3 \\  =   { - 3x}^{2}  + 6xy + 4 \\ 2. \:  {9x}^{2}  - 2x + 3 - ( {4x}^{2}  + 7x - 5) \\  = 9x ^{2}  - 2x + 3 - 4x ^{2}  - 7x  + 5 \\  = {9x}^{2}  -  {4x}^{2}  - 2x - 7x + 3 + 5 \\  =  {5x}^{2}  - 9x  + 8 \\ 3. \:  {x}^{2}  - 5x + 6 \\  =  {x}^{2}  - (3 + 2)x + 6 \\   = {x}^{2}  - 3x - 2x + 6 \\  = x(x - 3) - 2(x - 3) \\  = (x - 3)(x - 2) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment

4 0
3 years ago
Read 2 more answers
Higher Order Thinking a carpenter plans to extend the length of rectangular desk by 7 feet. Let x represent the desk's original
abruzzese [7]

Answer:

d. 9x + 63 and 63 square feet

Step-by-step explanation:

Given

Original

Length = x

Width = 9

Extended

Length = x + 7

Width = 9

Area = 9(x + 7)

Required

Determine an expression and the value of the extended area

First, we calculate the area of the original desk

A_1 = x * 9

A_1 = 9x

From the given parameters, we have:

Area = 9(x + 7) --- area of the new surface

Open bracket

Area = 9x + 63

The area of the new surface is the summation of the area of the original desk and the area of the extended portion (E)

So:

Area = A_1 + E

Make E the subject

E= Area - A_1

E= 9x + 63 - 9x

E= 63

Hence, the area of the extended portion is 63

7 0
2 years ago
Nathan work on the puzzle for 1 1/2 hours chloe spent four times as much working on her puzzle.how many hours did it chloe spend
34kurt
13/2 hours and have a good day
3 0
3 years ago
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