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Jet001 [13]
3 years ago
6

What is the solution to the inequality 3(2-3x)<51

Mathematics
2 answers:
drek231 [11]3 years ago
7 0
The answer is x < -5.
Radda [10]3 years ago
5 0
<span>3(2-3x)<51 then
6 - 9x < 51
-9x < 51 - 6
-9x < 45
   x < 45/-9
   x < -5</span>
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Use matrix inversion to solve the collection of systems of linear equations. HINT [See Example 4.] (a) −x − 4y + 2z = −10 x + 2y
omeli [17]

Answer:

Step-by-step explanation:

given is a system of linear equations in 3 variables as

-x - 4y + 2z = −10\\ x + 2y - z = 11 \\x + y - z = 14

This can be represented in matrix form as

AX=B Or

\left[\begin{array}{ccc}-1&-4&2\\1&2&-1\\1&1&-1\end{array}\right] *\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-10\\11\\14\end{array}\right]

So solution set

X would be A^{-1} B

|A|=-1(-1)+4(0)+2(-1)=--1

Cofactors of A are

-1    0    -1

-2   -1     -3

0     1      2

So inverse of A is

1    2   0

0   1     -1  

1     3      -2

Solution set would be

x=12

y=-3

z=-5

8 0
3 years ago
Drag the simplified value into the box to match each expression.
Mama L [17]

Answer:

4^0 + 2 x 3 - 2 = 5

2^2 + 10 - 3 x 2 = 8

9 + 3^2 - 1 x 4 = 14

please give brainliest

5 0
3 years ago
Solve the whole problem i give brainliest please help me.
gladu [14]

Answer:

165 is greater than or equal to 17.75x+5.25; 9 is greater than or equal to x

Step-by-step explanation:

The problem states that they have no more than $165. This means that they either use all the money, or they have leftover money, which means you need to use the 'greater than or equal to' sign. It says that tickets are $17.75 a person, and we're trying to find the number of people (x). You can write this as 17.75x. There is also a parking fee to add on to the equation, which is represented as +5.25. Now, we can solve!

I'm going to use an equal sign to replace the inequality symbol, but make sure to add the symbol at the end of the problem.

165=17.75x+5.25

159.75=17.75x

9=x

Our final answer is 9 is greater than or equal to x. Hope this helps!

8 0
3 years ago
Read 2 more answers
Tammy baked a batch of 20 cupcakes. Daniella baked
ElenaW [278]

Multiplication is the process of multiplying. The total number of cupcakes that are produced by the 3 girls is 44.

<h3>What is multiplication?</h3>

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Tammy baked a batch of 20 cupcakes and Daniella baked 4/5 as many cupcakes as Tammy. Therefore, the number of cupcakes made by Daniella is,

Number of cupcakes made by Daniella

= (4/5)×(Number of cupcakes made by Tammy)

= (4/5) × 20

= 16

Now, if Miko baked 1/2 as many cupcakes as Daniella. Therefore, the number of cupcakes made by Miko is,

Number of cupcakes made by Miko

= (1/2) × (Number of cupcakes made by Daniella)

= (1/2) × 16

= 8

Further, the total number of cupcakes that are produced are,

Number of cupcakes = 20 + 16 + 8 = 44

Hence, the total number of cupcakes that are produced by the 3 girls is 44.

Learn more about Multiplication here:

brainly.com/question/14059007

#SPJ1

8 0
1 year ago
Find the area of the following shape. (8 points)<br><br> what is the answer?
Ivenika [448]

Answer:

72 square units

Step-by-step explanation:

  1. Identify the height
  2. Identify the length
  3. Multiply those two together
  4. That is your answer

H = 9 units

L = 8 units

A = H × L

A = 9 × 8

A = 72 square units

8 0
2 years ago
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