Answers
Answer:
[tex]$x=\frac{-1}{5},[/tex]
[tex]y=\frac{2}{5},[/tex]
[tex]z=3$[/tex]
Step-by-step explanation:
Given system of equations in the form of the matrix shown below,
[tex]$A=\left[\begin{array}{ccc}1 & -2 & 0 \\ 1 & 3 & 5 \\ 1 & -1 & -1\end{array}\right] \quad B=\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]
[tex]$\left[\begin{array}{ccc}1 & -2 & 0 \\ 1 & 3 & 5 \\ 1 & -1 & -1\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]
[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{ccc}2 & -6 & -4 \\ -2 & -1 & 1 \\ -10 & 5 & 5\end{array}\right]\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]
[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{c}8+6-12 \\ -8+1+3 \\ -40-5+15\end{array}\right]$[/tex]
[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{c}2 \\ -4 \\ -30\end{array}\right]$[/tex]
[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{l}\frac{2}{-10} \\ \frac{-4}{-10} \\ \frac{-30}{-10}\end{array}\right]$[/tex]
[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}-1 / 5 \\ 2 / 5 \\ 3\end{array}\right]$[/tex]
Learn more about matrix refer:
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a) biswant thought of a number. he double it and added 5. if he got 13, find the number he thought
Answers
Answer:
Four
Step-by-step explanation:
13- 5= 8
8/2=4
You simply do the problem in reverse.
Answer:
The number is 4
Step-by-step explanation:
Let the number = x
Double of x = 2*x = 2x
Then add 5 to it: 2x +5
2x +5 = 13
Subtract 5 form both side
2x + 5 - 5 = 13 - 5
2x = 8
Divide both sides by 2
x = 8/2
x = 4
PLSSSSSSSSSSSSSSSSs Help me i have to send this to my math teacher before yk back to school starts
Answers
Q/ True or False
4. Ans ; False —> because
[tex] \frac{2 \times 3.5}{3 \times 3.5} = \frac{7}{10.5} [/tex]
Or; 2/3= 0.6 , 7/16= 0.43 so no equal
5. True —> because
[tex] \frac{5 \times 9.6}{15 \times 9.6} = \frac{48}{144} [/tex]
Or; 5/15=0.33 , 48/144 = 0.33 so equal
6. True —> because
[tex] \frac{12 \times 1.5}{28 \times 1.5} = \frac{18}{42} [/tex]
Or; 12/28=0.4285 , 18/42=0.4285 so equal
Q/ value " x "
7. Ans;
[tex] \frac{3}{6} = \frac{x}{8} \\ 6x = 8 \times 3 \\ 6x = 24 \\ x = \frac{24}{6} \\ x = 4[/tex]
8. Ans;
[tex] \frac{52}{x} = \frac{4}{1} \\ 4x = 52 \\ x = \frac{52}{4} \\ x = 13[/tex]
9. Ans;
[tex] \frac{15}{12} = \frac{10}{x} \\ 15x = 10 \times 12 \\ 15x = 120 \\ x = \frac{120}{15} \\ x = 8[/tex]
10. Ans;
[tex] \frac{18}{x} = \frac{2.4}{28} \\ 2.4x = 28 \times 18 \\ 2.4x = 504 \\ x = \frac{504}{2.4} \\ x = 210[/tex]
11.Ans;
[tex] \frac{3}{4} = \frac{x}{3.8} \\ 4x = 3.8 \times 3 \\ 4x = 11.4 \\ x = \frac{11.4}{4} \\ x = 2.85[/tex]
12. Ans;
[tex] \frac{x}{12} = \frac{2 \frac{1}{3} }{5} \\ \frac{x}{12} = \frac{ \frac{7}{3} }{5} \\ \\ \frac{x}{12} = \frac{7}{3} \div 5 \\ \\ \frac{x}{12} = \frac{7}{3} \times \frac{1}{5} \\ \\ \frac{x}{12} = \frac{7}{15} \\ \\ 15x = 12 \times 7 \\ 15x = 84 \\ \\ x = \frac{84}{15} \\ \\ x = 5.6[/tex]
Q/ Write each ratio
1.Ans;
[tex] \frac{30 \: ft}{60 \: ft} = \frac{30 \: ft \: \: \div 30}{60 \: ft \: \: \div 30} = \frac{1 \: ft}{2 \: ft} [/tex]
2. Ans;
[tex] \frac{45 \: mph}{25 \: mph} = \frac{45 \: mph \: \div }{25 \: mph \div 5} = \frac{4 \: mph}{5 \: mph} [/tex]
3. Ans;
[tex] \frac{6 \: min}{16 \: min} = \frac{6 \: min \: \div2 }{16 \: min \: \div 2} = \frac{3 \: min}{8 \: min} [/tex]
4. Ans;
[tex] \frac{300}{450} = \frac{300 \div 150}{450 \div 150} = \frac{2}{3} [/tex]
5. Ans;
[tex] \frac{48 \: gal}{14 \: min} = \frac{48 \: gal \div 2}{14 \: min \div 2} = \frac{24 \: gal}{7 \: min} [/tex]
6. Ans;
[tex] \frac{21 \: fem}{61 \:mal } = \frac{21 \: fem \div 3}{51 \:mal \div 3} = \frac{7 \: fem}{17 \: mal} [/tex]
7. Ans;
[tex] \frac{4.2}{36} = \frac{4.2 \div 12}{36 \div 12 \: pot} = \frac{0.35}{3 \: pot} [/tex]
8. Ans;
[tex] \frac{72 \: correct}{96 \: questions} = \frac{72 \: correct \div 24}{96 \: questions \div 24} = \frac{3 \: correct}{4 \: questions} [/tex]
Q/Find the unit rate
9.Ans;
[tex] \frac{1500 \: m}{6 \: s} = \frac{250 \: m}{1 \: s} [/tex]
10. Ans;
[tex] \frac{192 \: mil}{6 \: gal} = \frac{32 \: min}{1gal} [/tex]
11. Ans;
[tex] \frac{20 \: people}{5 \: cars} = \frac{4 \: people}{1 \: cars}[/tex]
12.Ans;
[tex] \frac{36}{4 \: lbs} = \frac{9}{1 \: lbs} [/tex]
I hope I helped you^_^
The product of two irrational number is always __-
Answers
Answer:
[tex]irrational \: or \: rational \\ for \: exmple \sqrt{2} \times \sqrt{2} = 2 \\ thnk \: you[/tex]
Figure A is congruent to figure B.
Which transformations are applied to figure A to obtain figure B?
O a reflection across the y-axis and then a translation down
O a rotation about the origin and then a reflection across the y-axis
O a rotation about the origin and then a translation down
O a reflection across the y-axis and then a reflection across the x-axis
Pls help
Answers
[tex]i \hookrightarrow \mathrm{AnsweR} \hookleftarrow i[/tex]
First option is the most suitable option, which says that a reflection of triangle A is made across the y - axis and then it is dragged down .
Answer:a reflection across the y-axis and then a reflection across the x-axis
Step-by-step explanation:
Indicate the method you would use to prove the two A's =. If no method applies, enter "none".
O ASA
O AAS
A
• None
•
SSS
O SAS
Answers
Answer:
SSS is used
Step-by-step explanation:
mark me as brainliest ❤️
The triangles are congruent with SSS postulates. Then the correct option is D.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
Two triangles are shown.
The SSS postulate is one of the ways to prove that two triangles are congruent. SSS stands for "side-side-side," and it states that if three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent.
The corresponding sides of the triangle will be equal. Then the triangles are congruent with SSS postulates.
Thus, the correct option is D.
More about the triangle link is given below.
https://brainly.com/question/25813512
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what are the answers to these questions algebra 1
Answers
Answer:
Step-by-step explanation:
1: x=5
2: x=2
3: x = 3
4: x=5
5: x=3
6: x=4
7: x=37
HELP PLEEAASSEEE!!!!!!!
Drag the tiles to the correct boxes to complete the pairs.
Match the numbers in standard notation with the corresponding numbers in scientific notation.
Answers
8.64E14 = 864,000,000,000,000
8.64E11 = 864,000,000,000
8.64E13 = 86,400,000,000,000
if 5t=5 then t is what number
Answers
Answer:
1
Step-by-step explanation:
5t = 5
divide equation by 5 to get rid of it
t = 1
This is because 5t means "5 times t". The t is a placeholder for a number.
To solve for t, we divide both sides by 5
5t = 5
5t/5 = 5/5
t = 1
Note how 5t = 5 becomes 5*1 = 5 after replacing t with 1. Because 5*1 = 5 is a true statement, this helps confirm we have the correct answer.
how do you convert a repeating decimal in the 10000 place into a fraction?
Answers
Decimal to Fraction
Converting any terminating decimal into a fraction is fairly straightforward. You count the number of decimal places, move the decimal point that number of places to the right, and put the resulting number over "1" followed by that number of zeroes.
For instance:
Convert the decimal 0.7 into a fraction.
This decimal has one decimal place, so I move the decimal point one place to the right, to get 7. Then I put this over "1" followed by one zero (otherwise known as "10") to get: 7/10
Step-by-step explanation:
What is the product of 5s and (-52 +38 – 9)?
Answers
Answer:
1st one
Step-by-step explanation:
it is by multiple of 5 withthe words inside bracket.
Answer:
52
+38
=90
-9
=81
so the answer is=81
the fraction '' 20/40'' is the same as ___+____ which reduces to__
Answers
Step-by-step explanation:
20/40 is same as 20÷40 which reduces to 1/2.
Your job is 7.5 miles from home. One option is to take the back roads to work. That route is calculated for driving at an average speed of 30 miles per hour. How long will it take you to get to work this way?
Answers
Step-by-step explanation:
So if you are 7 and a half miles away, and you drive 30 miles per hour, you need to take 7.5 and divide it by it by 30 and you get 0.25, you then need to find what is a quarter (0.25) of 60 minutes, and you will find that it is 15 minutes.
So:
Answer:
The route will take 15 minutes to get to work taking the back roads.
Hope this helps!
-9 + 9 = 0
Propiedad
Answers
True
Step by step explanation:
-9+9=0
0=0
True
Answer: True
Step-by-step explanation:
-9+9=0
They cancel each other out
which figures have rotation Cemetery
Answers
Have a nice day :D
Simplify the expression and write the result in standard form, a+bi
3 √-25 =
Answers
Answer:
[tex]3 + \sqrt{ - 25} = 3 + \sqrt{25} i\\ = 3 + 5i \\or \: \\ 3 \sqrt{ - 25} \\ = 3 \times 5i = 15i \\ thank \: you \\ [/tex]
HELP
what is 5.476 rounded to hundreths and how do you round the numbers
GIVING 12 POINTS
Answers
If 3 and 5 are factors of a number, then
15 is a factor of the number.
Answers
Answer:
factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored).
Step-by-step explanation:
The given statement, "If 3 and 5 are factors of a number, then
15 is a factor of the number", is true as the lowest common multiple of 3 and 5 is 15.
What do we mean by factors of a number?A number x is said to be a factor of another number y when y/x leaves a remainder = 0.
How do we solve the given question?In the question, we are asked that if 3 and 5 are factors of a number, then will 15 also be a factor of that number.
The smallest number with the factors 3 and 5 is 15, as the lowest common multiple of 3 and 5 is 15. Hence, the number we are looking for is a multiple of 15, that is, 15 is a factor of that number.
∴ We can say that any number having factors 3 and 5, will have a factor of 15. Hence, the given statement is true.
Learn more about factors of a number at
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g(x)=x^2-x
g(-4)
help!
Answers
Answer:
g(-4) = 20
Step-by-step explanation:
g(x) = x^2 - x when x = -4
~Substitute
= (-4)^2 - (-4)
~Simplify
= 16 + 4
= 20
Best of Luck!
296 divide by 0.08 whats the answer plz answer, and show me how you did it plz
Answers
Answer:
Step-by-step explanation:
Ok so u can’t divide a decimal with a whole number so u have to move the decimal poin from the 8 twice so it’s on the other side of the 8 and then there shouldn’t be any zeros before the 8 now divide 296 by 8 and instead of leaving the whole number like that u have to add the decimal point to it. So it should look like this 296.00 and then u can divide which is 3,700 hope this helped <3
You have cup of cocoa in your cupboard. A recipe for cookies calls for 1
cup of cocoa. How much cocoa would you have left if you made the cookies?
Answers
Answer:
None
Step-by-step explanation:
sorry don't know how to delete this
Hi! I'm happy to help!
The recipe calls for 1/4 of a cup of cocoa, and we have 5/6 of a cup.
We use subtraction to solve for the difference:
5/6-1/4
To solve for this, we need to find a common denominator. We do this by finding the least common multiple of the two denominators we already have.
The least common multiple is 12, because that is the lowest number that both 6 and 4 are factors of.
We multiplied the 6 by 2 to get twelve, so, to make it equivalent, we have to multiply the 5 by 2 also.
10/12-1/4
Now, since we multiplied the 4 by 3 to get twelve, we need to do the same to the 1.
10/12-3/12
You never subtract denominators, only numerators. Now, all we have to do is 10-3:
10/12-3/12=
7/12
So, you would have 7/12 cup of cocoa left over if you made the cookies.
I hope this was helpful, keep learning! :D
Is 9.2 a rational number or irrational explain with steps please
Answers
Answer:
Step-by-step explanation:
It is rational because it doesn't have infinite decimals
(NEED HELP PLS ANSWER GIVING 100 POINTS) Following my question of "If a student didn't turn an assignment in on the 27th of august, and the teacher deducted 10 percent each day. How much credit would they get if they turned it in on the 1st of September?" If the students current grade was a 41 F how higher would it get if they turned it in ( worth 40% of grade)
Answers
Answer: The student would get 70% credit.
The student’s overall grade would be
Step-by-step explanation:
-3x-7(x+4) what is the answer
Answers
Answer:
-10x-28
Step-by-step explanation:
-
I need help fast pls help me! (question is in the image)
Answers
Answer:
5.2
Step-by-step explanation:
3.7 - (-1.5)
3.7 + 1.5
5.2
Answer:
5.2
Step-by-step explanation:
maths
If Σfx = 60+45a and Σf = 12+9a , find the mean.
Answers
Step-by-step explanation:
Σfx = 60+45a
Σf = 12+9a
Now
Mean =Σfx/Σf
= 60+45a/12+9a
=105/21 (a has been canceled)
=5
Therefore mean =5
Need help with this math question. Will give brainliest
Answers
Indicate whether each equation is equivalent to this equation: 4x + 3 = 5/2x - 7
A. 4x = 5/2x - 4
B. 8x + 3 = 5x - 7
C. 4x = 5/2x - 10
Answers
Answer:y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina
Step-by-step explanation:
(8.11×107)–(4.3×107)
Answers
Answer: 407.67
Explanation:
(8.11×107)–(4.3×107) =
(8.11)(107)−(4.3)(107) =
407.67
The mZ3=12x-30 and mZ1=8x-6. Find the value of x.
Answers
12x-30=8x-6 simplify and solve :)
ASAP I need Answer .......
Answers
Answer:
[tex]auphy = (6 \: 9 \: 11) \\ ainter \: section \: phy = null \: set \\ thank \: you[/tex]
