Answer:
(1, 0, 2)
Step-by-step explanation:
[3 -1 2 | 7 ]
|6 -10 3 | 12|
[1 -1 4 | 9 ]
To the first row, add -3 times the values of the third row
To the second row, add -6 times the values of the third row
[0 2 -10 | -20 ]
|0 -4 -21 | -42 |
[1 -1 4 | 9 ]
To the second row, add 2 times the values in the first row
[0 2 -10 | -20 ]
|0 0 -41 | -82 |
[1 -1 4 | 9 ]
z = -82 / -41
z = 2
2y - 10(2) = -20
y = 0
x - 0 + 4(2) = 9
x = 1
What is 50 divided by 8?
Answer:
6.25 or 6 2/8 or 6 R2
Step-by-step explanation:
Which number produces a rational number when added to 1/2?
A. 4.35889894...
B. 0.314
C. 12
D. TT
Answer:
B and C
Step-by-step explanation:
A is a non terminating number which means it isn't rational. B and C are both rational and adding 1/2 to them won't change that, since they are terminating numbers. D is not a number.
Answer:
12+1/2 (0.5 as a decimal)
Step-by-step explanation:
π +0.5 will give an irrational number.
0.314 is rational
12 is a counting number.
And 4.35889894... is an irrational number.
An irrational number plus a rational one equals an irrational number.
Hope it helps! Please mark Brainliest! :-)
if (x+30) and (3x+10)are co interior angle.Find the value of x
Answer:19
Step-by-step explanation:
3x3=9 then add by 10 giving u the sum of 19
<3
Answer:
x = 35
Step-by-step explanation:
Co interior angle sum to 180° , so
x + 30 + 3x + 10 = 180 , that is
4x + 40 = 180 ( subtract 40 from both sides )
4x = 140 ( divide both sides by 4 )
x = 35
a system of equations is given below in terms of the scalar parameters a and b.
ax + 2y+ 4z = b
2x +y+3z= a+1
5x-2y+ (a+1)z= 3
(1) Show that if a = -5 or a=2, the system does not have a unique solution.
A system of equations only has a unique solution if all the equations are linearly independent (this means that we have two or more equations representing the same curve).
Here we have the system:
a*x + 2*y + 4*z = b
2*x + y + 3*z = a + 1
5*x - 2*y + (a + 1)*z = 3
Now we want to show that if a = -5 or a = 2, then the system does not have a unique solution.
To see this, we can just replace a by these values and see that the equations are not linearly independent.
for a = 2 we get:
2*x + 2*y + 4*z = b
2*x + y + 3*z = 2 + 1
5*x - 2*y + (2 + 1)*z = 3
Simplifying this:
2*x + 2*y + 4*z = b
2*x + y + 3*z = 3
5*x - 2*y + 3*z = 3
From the second and third equation we can write:
2*x + y + 3*z = 3 = 5*x - 2*y + 3*z
2*x + y + 3*z = 5*x - 2*y + 3*z
2*x + y = 5*x - 2*y
3*y = 3*x
y = x
now that we know this, we can rewrite the equations as:
4*(x + z) = b
3*(x + z) = 3
Now we can take the quotient of the two equations to get:
(4*(x + z))/3*(x + z) = (4/3) = b/3
b = 4
Then the equations become:
4*(x + z) = 4
3*(x + z) = 3
Here we can divide te above one by 4 and the below one by 3 to get:
(x + z) = 1
(x + z) = 1
So both equations represent the same line, thus, the system does not have a unique solution.
Now for a = -5:
-5*x + 2*y + 4*z = b
2*x + y + 3*z = -5 + 1
5*x - 2*y + (-5 + 1)*z = 3
Simplify it:
-5*x + 2*y + 4*z = b
2*x + y + 3*z = -4
5*x - 2*y - 4*z = 3
Now we can rewrite the first equation as:
-5*x +2*y - b = -4*z
and the third one as:
-4*z = 3 - 5*x + 2*y
Then we can write:
-5*x +2*y - b = -4*z = 3 - 5*x + 2*y
-5*x +2*y - b = 3 - 5*x + 2*y
Now we can remove the -5*x in both sides to get:
+2*y - b = 3 + 2*y
Now we can remove the 2*y in both sides to get:
-b = 3
b = -3
Replacing this in our system we get:
-5*x + 2*y + 4*z = -3
2*x + y + 3*z = -4
5*x - 2*y -4*z = 3
Now we can multiply the first equation by -1:
-1*(-5*x + 2*y + 4*z)= -1*(-3)
5*x - 2*y - 4*z = 3
This is the same as the third equation, so here we can see that the first and third equations represent the same line, thus, the system of equations does not have a unique solution.
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Solve each equation for the
variable.
n + 3 = 8
4 + w = -8
need help......................................... I DO ANYTHING
Step-by-step explanation:
Additive inverse are numbers with the same number but different signs. For example, 1 and -1 are additive inverse.
An additive inverse and it original number add to zero.
For example,
[tex]1 + ( - 1) = 0[/tex]
Using this info, w is -0.8
0.8 and -0.8 are equidistant from 0.
-0.8 is 2 mark to the right of -1.
So this means that 0.8 is 2 mark to left of 1.
[15-(|-6+2|+ squareroot9)]^2
can anyone explain the steps for how to solve it too? i’m confused :(
Answer:
1936
Step-by-step
[tex][15 - (1 - 6 + 21 + \sqrt{9} )] ^{2}[/tex]
use BIDMAS
(1 - 6 + 21 + [tex]\sqrt{9}[/tex]) = (1 - 6 + 21 + 3) = (1 - 30) = -29
[15 - -29] = [15 + 29] because two minuses together make a plus
[tex]44^{2}[/tex] = 1936
Renaldo can rollerblade 9.7 miles per hour. at this rate, how far will he rollerblade in 0.75 hours?
Answer: 1.125 miles
Step-by-step explanation:
Graph the line with slope -3/4 passing through the point (2,2)
Step-by-step explanation:
the answer is in the graph above
prince covers 1200 meter distance in 10 minutes . calculate his velocity
Answer: 120 m/min or 2 m/s
Concept:
Here, we need to know how to calculate velocity.
Velocity = ΔD / ΔT
The SI unit of velocity is m/s
Solve:
Given information
Distance = 1200 m
Time = 10 min
Given expression
Velocity = ΔD / ΔT
Substitute values into the expression
Velocity = 1200 / 10
Velocity = 120 m/min
Extra:
**Disclaimer** Ignore this part if it is irrelevant to what you are learning.
If the question needs an answer with SI unit, then please see below:
Given information
Distance = 1200 m
Time = 10 min = 10 × 60 = 600 sec
Given expression
Velocity = ΔD / ΔT
Substitute values into the expression
Velocity = 1200 / 600
Velocity = 2 m/s
Hope this helps!! :)
Please let me know if you have any questions
If I'm 4years and my brother is half of my age now I'm 44 how old is he ?
Answer:
22
Step-by-step explanation:
Please, someone, help
Answer:
I will help
Step-by-step explanation:
f(2) if f(x) = 3x + 5. f(2)?
Answer:
f(2) = 11
Step-by-step explanation:
Plug 2 in for x
3(2) + 5
6 + 5
= 11
Solve the equation. 4x2 + 20 = -7
3) You roll a number cube what's the probability of
rolling a number higher than 4 and then a 2?
Answer:
1/18
Step-by-step explanation:
Probability of getting a number higher than 4=1/3
Probability of getting 2=1/6
Probability of rolling a number higher than 4 and then a 2=(1/3)*(1/6)=1/18
helppppp maybee pplsss
Answer:
CD and BE
BC and DE
...........
The greatest 6 digit even numbers with 4 in the ten thousand place and all digits different
Answer:
948,762
Step-by-step explanation:
The greatest six digit number would have to start with 9. It is given that the four is in the ten thousand place. Since no number can be repeated. I put the next largest number to 9 in the thousands place which is 8. I then put 7 then 6. Since the number has to be even I put 2 since 8, 6 and 4 were already used.
The greatest 6 digit even numbers with 4 in the ten thousand place and all digits different is 948,762.
What are even numbers?An even number is an integer that can be divided by two and remain an integer or has no remainder.
Now it is given that,
greatest 6 digit even numbers with 4 in the ten thousand place and all digits different
So, the greatest will be starting from 9
Digit at the ten thousand place is fix, 4
Digit at the thousand place is 8
Digit at the hundred place is 7
Digit at the ten place is 6
Since, it is an even number then it must be divisible by 2.
So, last digit at ones is 2
Thus we get, 948,762
hence, the greatest 6 digit even numbers with 4 in the ten thousand place and all digits different is 948,762.
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What is one root of this equation?
2x^-4x+9=0
9514 1404 393
Answer:
1 +i√3.5
Step-by-step explanation:
In vertex form, the equation is ...
2(x² -2x +1) +7 = 0
2(x -1)² +7 = 0
Then the solutions are ...
(x -1)² = -7/2
x = 1 ±i√3.5
One solution is 1+i√3.5.
Can you guys plz help me
Answer:
The segment CD is a diameter . It is 15 cm long.
Order of operations 8x18/4+15
Answer:
8×18=144
4±15=19
144÷19
7.579 answer
Woolworths had a going out of business sale. The price of a telephone before the sale was $39.98. What was the price of the telephone after a 30% discount? If the sale price of the same telephone had been $23.99, what would the percentage discount have been?
What is the answer for number 74.
Answer:
g
Step-by-step explanation:
Class 8 squares and square roots without adding find the sum of a) 1+3+5+7+9+11+13+15+17.
Answer:
given
n=9
a=1
d=3-1=2
Step-by-step explanation:
now , by formula,
sn = n/2(2a+(n-1)d)
= 9/2(2×1+(9-1)×2)
=9/2×18
=81
What is the correct way to notate the shaded
region indicated by this Venn Diagram?
The correct notation will be A∪B and it can be read as A union B
In the given Venn diagram we can deduce the following;
U: this is the universal set, it comprises all the elements in set A and set B, as well as the compliments of set A and set B.A: this is include the elements contained in set AB: this include the elements contain in set BA∩B: this includes the elements in common for both set A and set B. This is often read as A intersect B.A∪B: this include all the elements contained in both set A and set B. This often read as A union B.The shaded region in the Venn diagram includes all the elements in set A and all the elements in set B.
Thus, the correct notation will be A∪B and it can be read as A union B.
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A Venn Diagram is a diagram used to define sets.
Here we will find that the notation of the shaded region is: A ∪ B
To know this, we need to define all of the notations in the options:
A ∩ B: This is the intersection of sets A and B, so this is the set of the elements that belong to both sets.A ∪ B: This is the set of all the elements that belong to either A or B (or both)A ⊂ B: This means that set A is included in B¬A (or a set with a line on top): Represents the set of all the elements that do not belong to A.So with these general notations, is easy to conclude that if we have shaded sets A and B completely, then we have the set: A ∪ B
The correct option is C.
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How many solutions does the nonlinear system of equations graphed
below have?
Y=-1/64(x-16)^2+4 Y=-1/2x-4
9514 1404 393
Answer:
2
Step-by-step explanation:
The graphs have two (2) points of intersection. Each point of intersection is a solution to the system of equations. The coordinates of that point satisfy both equations simultaneously.
There are 2 solutions to the graphed system of equations.
find the solution to this systems of equations
Answer: I dont know
Step-by-step explanation:
Answer:
x= -y+1
y=2x+z−1
z=−x−2y+ 8 /3
Step-by-step explanation:
I honestly entered it into a algebra calculator which gave me the steps.
What is the value of 3-(-2) ?
Answer:
3 + 2 = 5
Thank You
Find the equation of the line with the slope 3/2 through the point (-6,2)
Step-by-step explanation:
y-y1=slope (x-x1)
where x1=-6,y1=2 and slope=3÷2
y-2=3÷2{x-(-6)}
y-2=3÷2(x+6)
y-2=(3x+18)÷2 cross multiply
2y-4=3x+18 collect like terms
2y=3x+18+4
2y=3x+22....ans
Gross income is:
A. the amount of pay after tax and benefit deductions.
B. the amount of pay after tax but before benefit deductions.
C. the total amount of earned salary or wages.
D. the total amount an employer withholds for taxes.
Gross income is: The total amount of earned salary or wages. Option C is the correct answer.
Gross income refers to the total amount of money earned by an individual before any deductions or taxes are taken out. It represents the complete earnings from employment or other sources of income before any adjustments or deductions are made.
Gross income includes the full amount of salary or wages earned by an individual, as well as any additional income such as bonuses, commissions, or tips.
Option A is incorrect because gross income is the total amount earned before tax and benefit deductions are applied.
Option B is incorrect because gross income is not after tax, but rather before any tax deductions.
Option D is incorrect because gross income does not specifically refer to the amount withheld for taxes, but rather the total amount earned before any deductions.
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Point B is between points A and C. AB = 2x - 3, BC = 7x - 10, and AC = 32.
What is the value of x?