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]
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.4.25 • (–1.25) positive or negative?
Answer:
Negative
Step-by-step explanation:
Positive times a negative will always be negative
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
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 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!
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 the value of c?
Type the missing numbers in this sequence:
31, , , 58, 67, 76
Which is the least amount?
[A] 1.20 [B] 0.21 [C] 1.02 [D] 1.020
The Answer Is:
B (0.21)
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.
I WILL MARK BRAINLIEST!!!!!!!
Answer:
C
Step-by-step explanation:
hope it helps thank you
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
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:
expand this bracket (x + 3/2)^2
X^2 + 9/4 is your answer
Hope this helps you
If line segment AB represents 50%, what is the length of a line segment that is 100%?
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
tan30° + Cos30°/ tan30° . cos30°
Answer:
tan30° + Cos30°/ tan30° . cos30°
1/√3+√3/2/(1/√3)×√3/2
1/√3+3√3/4
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
PLS HELP HUMAN I LOVE YALL HELP
What are the variables in the expression 2w + 11t + 4y
17+ x/6 what is the answer
Answer:
x=-11
Step-by-step explanation:
17+x/6=0
17+x=6
x=-11
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.
Decide which shipping box (or combination of boxes) she should use to ship exactly 270 necklaces.
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
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:
77 is 56% of what number Show your work for brainliest
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.
Find the following in the figure
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
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: