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DIA [1.3K]
4 years ago
5

Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tub

e of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buy.
The inequality that best represents this scenario is .
The number of tubes of paint Catherine can buy is
Mathematics
1 answer:
Serga [27]4 years ago
5 0

Answer;

4 or more tubes or paint.

Step-by-step explanation:

54- 8.50x > 20

-54               -54

 

-8.50x > -34

now you have to divide by -8.50 on both sides to get x alone.

-8.50x/-8.50 > -34/-8.50

x=4

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Consider the matrix <img src="https://tex.z-dn.net/?f=A_%7B4x4%7D%2C%20det%28A%29%20%3D%20-2" id="TexFormula1" title="A_{4x4}, d
Lerok [7]

We found a counterexample, so the statement is false.

<h3>Is the statement true?</h3>

Let's use the matrix:

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

This is a 4x4 matrix with determinant equal to -2.

The inverse matrix is:

\left[\begin{array}{cccc}1/2&0&0&0\\0&-1&0&0\\0&0&-1&0\\ 0&0&0&-1 \end{array}\right]

If we multiply it by 2, we get:

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

The adjoint of that is the original matrix, actually:

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

Which we already know, has a determinant of -2.

So the statement is false, as we found a counterexample.

If you want to learn more about matrices:

brainly.com/question/11989522

#SPJ1

7 0
2 years ago
A triangle has angle measurements of 61°, 84°, and 35°. is this triangle isosceles?
ch4aika [34]

Answer: No

Step-by-step explanation:

This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.

8 0
2 years ago
PLEASE HELP ME!!!!! I GIVE THANKS
stich3 [128]
8 is a possible Variable A when Variable B is 3 because the line crosses through that point.
6 0
3 years ago
List the potential solutions to 2log x − log3 = log3 from least to greatest.
lisabon 2012 [21]

the answers are:

x = -3 or x = 3

5 0
4 years ago
Read 2 more answers
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tresset_1 [31]

Answer:

422

Step-by-step explanation:

3 0
2 years ago
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