Answer: 10 , 10
Step-by-step explanation:
By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].
What is one-step matrix equation?A matrix equation is an equation of the form Ax = b , where A is an m × n matrix, b is a vector in R m , and x is a vector whose coefficients x 1 , x 2 ,..., x n are unknown.
A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
Given one-step matrix equation
[tex]\left[\begin{array}{c}x_{1} &x_{2} \end{array}\right]+\left[\begin{array}{c}-2 &5 \end{array}\right] =\left[\begin{array}{c}8 &15 \end{array}\right][/tex]
By adding the matrix the respective equations are:
[tex]x_{1} +(-2)=8[/tex].....(1)
[tex]x_{2} +(5)=15[/tex].....(2)
By solving [tex]x_{1} +(-2)=8[/tex]
⇒ [tex]x_{1} -2=8[/tex]
Add 2 on the both sides of the equation
⇒ [tex]x_{1}-2+2 =8+2[/tex]
⇒ [tex]x_{1} =8+2[/tex]
⇒ [tex]x_{1} =10[/tex]
Solving equation 2
[tex]x_{2} +(5)=15[/tex]
⇒ [tex]x_{2} +5=15[/tex]
Subtract 5 on both sides of the equation
⇒ [tex]x_{2} +5-5=15-5[/tex]
⇒ [tex]x_{2}=10[/tex]
By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].
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Can some one help please!!!!!!!
Answer:
yes it's easy
Step-by-step explanation:
y=-2x
it may help you to understand.
How many solutions are there to the equation below? 17 x - 8 = 3x + 16
maqth
Answer:
There is one solution and that answer is mixed number form 1 5/7 or exact form 12/7
Step-by-step explanation:
HELP PLEASEEEEEEEEEEEEEEEEEEEEEE ITS A GRADE
Answer:
as x increases, y increses
the parabola grows wider and taller, meaning that the y and x values will both increase:)
Answer:
B for the first graph (as x increases, y increases), D for the second graph (as x increases, y decreases), D for the third graph (minimum at y = -9), and A for the forth graph (the graph opens up because the a value in the equation is positive)
A landscaper plants 18 bushes in a 36-foot section of land along the side of a house. How many bushes does the landscaper plant in a 10-foot section of land?
A.5
B.8
C.9
D.12
Answer:
Step-by-step explanation:
18 x 2 is 36 so to find out how many you could plant in a ten-foot area divide ten by 2 to get five.
PLS HELPPPPP!!!!!!!!!!!!!!!!!!
what is 2/5 times 11 in simplest form?
Answer:
4.4 would you let me know if you need an explanation and pls don't delete.
Hmmmm i think its 5/22
Step-by-step explanation:
So basically how i got it was 2/5*11
And that got me 5/22
I do not think you could simplify this
Either I'm very smooth brain or you can't simplify 5/22
Offering Brainliest, a 5 star review, and a like on your answer, Please help.
Answer:
I'm pretty sure it's 1,1.
Step-by-step explanation:
Answer:
(1,1)
Step-by-step explanation:
sub to pewdiepie
Assuming all model requirements for conducting the appropriate procedure have been​ satisfied, is the mean IQ of the students in the​ professor's statistics class higher than that of the general​ population, 100? Explain what statistical procedure should be used for this research objective.
Answer:
Step-by-step explanation:
The right statistical procedure is by applying a hypothesis test that uses a single mean. Here, if we are to talk about comparison, it should be between the mean IQ of the students in the class and the national average IQ. The class is not for a comparison between two population means because it is viewed as the sample of the population. That is to say, the required task is to determine if the sample mean is greater than the population mean. We can conclude that this obeys a hypothesis test rather than a confidence interval.
During the summer, 1.3% of the water in the kiddie pool evaporates every day. If the kiddie pool holds 8,000 gallons of water and is not
refilled for 10 days, how many gallons of water will be in the pool? Round your answer to the nearest gallon enter the amount
Answer:
7019 gallonsStep-by-step explanation:
Initial volume of water = 8000 galDaily reduction = 1.3% Time = 10 daysRequired equation:
8000*(1- 0.013)^10 =8000*0.987^10 =7018.7781 ≈ 7019 rounded to the nearest gallonfind the values of a,b, or c for y = x^2 - 9x +18 please help!!
Answer:
It's X^1 = 3, x^2 =6
Step-by-step explanation:
the picture is below
Answer:
C
Step-by-step explanation:
What is the value of the expression when a = 5, b = 4 , and c = 6?
4a/2b−c
2
5
9
10
Answer:
10...............................
Find the sales tax.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$60.00
3%
?
The sales tax is $.
Answer:
57.00
Step-by-step explanation:
welcome
Answer:
1.80
Step-by-step explanation:
60 x .03=1.80
HELP I WILL RATE !!!!!!!
No picture, nothing to rate here.
The two figures shown are congruent. Which statement is true?
Answer:reflection image of the other
Source:trust me bro
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
2y- 4x= 6
y- 2x=7
A. No solution
B. More than 1 solution
C. x= 4, y=-2
D. X= -1, y= 1
The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source
Answer:
The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]
Step-by-step explanation:
Voltage Sources in Series
When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.
The figure shown has three voltage sources of values:
[tex]2 + 6\mathbf{i}[/tex]
[tex]a + b\mathbf{i}[/tex]
[tex]2 - 5\mathbf{i}[/tex]
The sum of these voltages is:
[tex]V_t=4+a+(6+b-5)\mathbf{i}[/tex]
Operating:
[tex]V_t=4+a+(1+b)\mathbf{i}[/tex]
We know the total voltage is [tex]6-3\mathbf{i}[/tex], thus:
[tex]4+a+(1+b)\mathbf{i}=6-3\mathbf{i}[/tex]
Equating the real parts and the imaginary parts independently:
4+a=6
1+b=-3
Solving each equation:
a = 2
b = -4
The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]
The voltage at the middle source is;
E2 = (2 + 4i) V
From the image, we see the voltage at each point as;
E1 = (2 + 6i) V
E2 = (a + bi) V
E3 = (2 - 5i) V
The given voltages are in series and as such the total voltage will be;
E_t = E1 + E2 + E3
We are told that the total source voltage is (6 - 3i)V. Thus;
(6 - 3i) = (2 + 6i) + (a + bi) + (2 - 5i)
Rearranging gives;
(a + bi) = 6 - 3i - (2 + 6i) - (2 - 5i)
(a + bi) = 6 - 3i - 2 - 6i - 2 + 5i
(a + bi) = 2 - 4i
The middle source voltage is E2 = (a + bi) V. Thus;
E2 = 2 - 4i
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Distance between 3,-6 and -2,-5
so the answer to
Evaluate the expression for a = 3, b=12 , and c = 4.
8ab over 2bc
is 3?
Answer:
The answer is C=4. Hope it helps :)
.
A Survivorship Life Insurance Plan insures how many people under one plan?
Answer:
the whole world
Step-by-step explanation:
Suppose the x-axis of a density graph represents someone's height in inches.
If the area under the density curve from 60 inches to 70 inches is 0.55, what
is the probability of someone's height being anywhere from 60 inches to 70
inches?
O A. 65%
O B. 55%
O C. 70%
O D. 60%
Answer:
B
Step-by-step explanation:
B
Given: a∥b, m∠1 = 71º Find m∠5, m∠8
Step-by-step explanation:
m <5=71
m <8=109
-------------
Answer:
∠5 = 71°
∠8 = 109°
Step-by-step explanation:
∠1 = 71°
∠5 = 71° (the same as ∠1 = 71°) its a corresponding angle
∠8 = 180 - ∠5
∠8 = 180 - 71
∠8 = 109°
plzzzzzzz help 20 points
Answer:
8.15
Step-by-step explanation:
Answer:
8.15
Step-by-step explanation:
HURRY ANSWER THIS IM BEING TIMED
Answer:
D
Step-by-step explanation:
10(4 - 7)/-(4 - 1)
40-70/-4+1
-30/-3
=10
Can someone help me so stressed
29 points
Thanks
Answer:a square
Step-by-step explanation:a square
Three apples (x) plus two
oranges (y) costs $16.
Five apples plus two
oranges costs $24. Hov
muon do each apples and
oranges cost?
Use the figure to find the measure of the angle.Explain your reasoning.
angle2=180-152=28
angle3=28
angle4=152
angle5=152
angle6=28
angle7=28
angle8=152
The values of the marked angles: angle 2, angle 3, angle 4, angle 5, angle 6, angle 7, angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.
What is an angle?When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.
Given, angle 1 = 152°
We know, angle 1 + angle 2 is 180°. (supplementary angles)
Therefore, angle 2 = (180° - 152°) = 28°.
Again, angle 2 = angle 3. (opposite angles)
Therefore, angle 3 = 28°.
Similarly, angle 1 = angle 4
Therefore, angle 4 = 152°.
Now, angle 1 = angle 5 (corresponding angle)
Therefore, angle 5 = 152°.
Now, angle 2 = angle 6 (corresponding angle)
Therefore, angle 6 = 28°.
Now, angle 3 = angle 7 (corresponding angle)
Therefore, angle 7 = 28°.
Now, angle 4 = angle 8 (corresponding angle)
Therefore, angle 8 = 152°.
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Help does anyone know this?
Answer:
(2x - 4)(2x + 7) = 4x^2 +14x - 8x -28
= 4x^2 + 6x -28
(x)(x+3) = x^2 + 3x
(4x^2 + 6x - 28) - ( x^2 + 3x ) = 3x^2 + 3x -28
9c + 1 = 10 what is the answer the algebra way?
Answer:
c=1
Step-by-step explanation:
subtract 1 with 10, outcome is 1. subtract both sides by 9 to deduct the 9. and you get 1
Answer:
c = 1
Step-by-step explanation:
The algebra way is to isolate the variable c, and solve for it. The image below shows step-by-step on how to solve it.
Hope this helps! :)
write the sentence as an inequality. then solve the inequality.
the difference of 5 and a number is at least 13
Answer:
-5a<13
Step-by-step explanation:
What is the slope of the line that passes through the points (-4,0) and (-4, -10)?
Write your answer in simplest form.
Answer:
the slope is undefined
Step-by-step explanation:
slope = y2 - y1
___________
x2 - x1
slope = (-10-0) / {-4 - (-4 ) }
slope = -10 / (-4 + 4)
slope = -10 / 0
slope = undefined
note - Any number divided by zero is undefined