Answer:
The answer is below
Step-by-step explanation:
The system of equations:
8x-9y+13z=11
-8x-5y+5z=15
3x+4y-8z=-10
The equations can be represented in matrix form as:
AX = B
X = A⁻¹B
Therefore:
[tex]\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] ^{-1}\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}\frac{1}{19} &-\frac{1}{19}&\frac{1}{19}\\-\frac{49}{380}&-\frac{103}{380}&-\frac{36}{95} \\-\frac{17}{380}&-\frac{69}{380}&-\frac{28}{95} \end{array}\right] \left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-0.74\\-1.69\\0.13\end{array}\right] \\[/tex]
4.25 • (–1.25) positive or negative?
Answer:
Negative
Step-by-step explanation:
Positive times a negative will always be negative
Determine the equation of the line perpendicular to the line 4x+2y-7=0 that has the same x-intercept as the line 2x+3y-12=0
what is (4x - 4) + (2x + 2)? (no direct answer.)
Answer:
6x -2
Step-by-step explanation:
(4x - 4) + (2x + 2)
4x + 2x = 6x
-4 + 2 = 2
6x - 2
the taxi fare in a city is as follows: for the first kilometre, the fare is rupee 8 and for the subsequent distance it is rupee 5 per km. taking the distance covered as x km and total fare as rupee y, write a linear equation for this information, and draw its graph
Answer:
The linear equation is Y=5x+8 where x>0
(you can input this into the Desmos graphing calculator to see the graph if you like!)
Step-by-step explanation:
To get the answer is fairly straight forward. If we know that distance covered is x in the equation and we know that a linear equation follows the template Y=mX+b where m is slope and b is the y-intercept. The first step is to fill in what we know. That would look as such Y=_X+_. We can then attempt to fill in the blanks for m and b. Because we know that it is 5 rupees extra per subsequent kilometre we can put 5 as the multiplier for x and there is our m or slope. We now have Y=5x+_. Now for b. B in this case is quite simple as is showing us where the start of the graph is. It is stated that there is a flat fee of 8 rupees, so the total can never be less than 8. Because b is simply where the line intercepts the y axis, and we want it to intercept at 8, we can just put a plus 8. And there you have it Y=5x+8. One important note is that the graph when drawn should be a ray extending from point (0,8). This is because we want to eliminate all of the areas on the plane that would make the fare negative, as we could not have a negative cab fare. This is as simple as plotting the line starting from point (0,8) on the y axis. Happy to help!
The cost of 5 pounds of bananas is $3.25. What is the constant of proportionality that relates the cost in dollars, y, to the numbers of pounds of bananas, x?
Answer:
X = Cost of the bananas
Step-by-step explanation:
While y represents the weight (in pounds) of the bananas, x represents the cost of the bananas proportional to the weight.
Answer:
0.65
Step-by-step explanation:
Find the following in the figure
Divide the polynomials.
Your answer should be a polynomial.
22
49
x +7
Answer:
x - 7
Step-by-step explanation:
Given
[tex]\frac{x^2-49}{x+7}[/tex]
x² - 49 is a difference of squares and factors as (x - 7)(x + 7)
= [tex]\frac{(x-7)(x+7)}{x+7}[/tex] ← cancel x + 7 on the numerator/ denominator
= x - 7
Answer:
Formula used: a²-b²=(a-b)(a+b)
[tex] ★\:\:\frac{( {x}^{2} - 49) }{(x + 7)} = \frac{ ({x}^{2} - {7}^{2} ) }{(x + 7)} = \frac{(x - 7)(x + 7)}{(x + 7)} =\boxed{ (x - 7)}[/tex]
(x-7) is the right answer.what is "18 less than the quotient of a number and -5 is at most -2" translated
Answer:
[tex]x\le -80[/tex]
Step-by-step explanation:
The given statement is "18 less than the quotient of a number and -5 is at most -2",
Let the number be x.
At most means, a ≤ b
So,
[tex]\dfrac{x}{-5}-18\le-2[/tex]
Adding 18 to both sides.
[tex]\dfrac{x}{-5}-18+18\le-2+18\\\\\dfrac{x}{-5}\le16[/tex]
Multiply both sides by -5
[tex]\dfrac{x}{-5}\times -5\le 16\times -5\\\\x\le -80[/tex]
So, the solution of the given statement is x is less than equal to -80.
What are the variables in the expression 2w + 11t + 4y
I WILL MARK BRAINLIEST!!!!!!!
Answer:
C
Step-by-step explanation:
hope it helps thank you
Which statement shows correct reasoning for finding 12+3/8? A Multiply 12 by 8, then divide by 3. B. Multiply 12 by 3, then divide by 8. C. Multiply 3 by 8, then divide by 12 D. Multiply 12 by 1/8, then multiply by 3.
Answer:
B
Step-by-step explanation:
plz mark the brainliest. if that is adding not multiplying, you will do 3 divide by 8 first and then add 12. I think its a typo and it is multiply so if it is multiply, it is B. plz mark the brainliest
Type the missing numbers in this sequence:
31, , , 58, 67, 76
If line segment AB represents 50%, what is the length of a line segment that is 100%?
GIVING BRAINLIEST Cattails thrive in places where there is plenty of water year-round. Which event might limit a cattail population? A.Drought B.Rainy spring C.Thunderstorm D.Eclipse
Answer:
A. Drought, this is when the land is dry and no water is around essentially.
Answer:
The answer is drought. I took the test.
Order of Operations
P
E
M
D
A
S
Answer:
D
Step-by-step explanation:
3/5 + 1/5 is 4/5
4/5 x 4/3 is 16/15
16/15 = 1 1/15
Answer:
I believe the answer is D
Step-by-step explanation:
4. THE LOV TEMPERATURES FOR A VEEK IN EDMONTON, ALBERTA ARE -15°C, -1200
-10°C, -12°C, -18°C, -20°C, AND_-25°C. WHAT IS THE MEAN LOV
TEMPERATURE FOR THE WEEK? SHOW YOUR WORK
Answer:
-16°C
Step-by-step explanation:
The lov temperatures for a week are :
-15°C, -12 , -10°C, -12°C, -18°C, -20°C, and -25°C.
We need to find the mean love temperature for the week.
Total no. of observations = 7
Mean = sum of observations/total no of observations
[tex]M=-\dfrac{15+12+10+12+18+20+25}{7}\\\\M=-16^{\circ} C[/tex]
So, the mean temperature is -16°C.
Which is the least amount?
[A] 1.20 [B] 0.21 [C] 1.02 [D] 1.020
The Answer Is:
B (0.21)
77 is 56% of what number Show your work for brainliest
tan30° + Cos30°/ tan30° . cos30°
Answer:
tan30° + Cos30°/ tan30° . cos30°
1/√3+√3/2/(1/√3)×√3/2
1/√3+3√3/4
What is the value of c?
25% of ___ is 7 ??????
Answer:28
Step-by-step explanation:
This is a missing whole problem so you must divide 7 by 25/100
Or multiply it by it's reciprocal 100/25 or 4/1 x 7 = 28
The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 per hour. What is the rate of change for this function?
Answer:
I think that it is y=15x+35
Step-by-step explanation:
15*x is how many hours and you have to pay $35 regardless to rent the boat
can solve real world problems involving embedded triangles:
The value of x is
please I need this answer quick.
Answer:
It is 15 x=15
Step-by-step explanation:
expand this bracket (x + 3/2)^2
X^2 + 9/4 is your answer
Hope this helps you
Decide which shipping box (or combination of boxes) she should use to ship exactly 270 necklaces.
17+ x/6 what is the answer
Answer:
x=-11
Step-by-step explanation:
17+x/6=0
17+x=6
x=-11
Simplify the expression by combining like terms. 7w+9+6X
A. 22wx
B. 13wx+9
C. 7w+6x+9
D. 1w+9
Answer:
Step-by-step explanation:
the answer stay the same due to the fact there are no like terms
7w+9+6x
PLS HELP HUMAN I LOVE YALL HELP
Simplify this for me please. No improper answer.
People keep telling it's easy peasy lemon squeezy but me here sitting stressy depressy lemon zesty.
Answer:
Look at the picture below
Step-by-step explanation:
Answer: Stressy lessty lemon zessty ask for a tutor he/she can help you
I need to know the answer step by step.
Answer:
108
Step-by-step explanation:
Since B=3, you need to do 4(3)^2*3
Do 3^2, which is 9,
4*9=36,
36*3=108