Answers
Answer:
Option B: (x= -8, y=10, z=-6)
Step-by-step explanation:
2x + 4y + 3z = 6 ... eq.(1)
5x + 8y + 6z = 4 ... eq.(2)
4x + 5y + 2z = 6 ... eq.(3)
From eq.(1),
2x= 6 - 4y - 3z
x= (6-4y-3z)/2 ... eq.(4)
Putting x as (6-4y-3z)/2 in both eq.(2) and eq.(3)
In eq.(2),
5[(6-4y-3z)/2] +8y +6z =4
Multiplying through by 2
5(6-4y-3z) + 16y + 12z = 8
30-20y-15z+16y+12z = 8
22= 4y + 3z ... eq(5)
In eq.(3),
4[(6-4y-3z)/2] +5y +2z = 6
2(6-4y-3z) +5y + 2z =6
12-8y-6z + 5y +2z = 6
6= 3y + 4z ... eq.(6)
Multiplying eq.(5) and eq.(6) by 3 & 4 respectively
66=12y + 9z ... eq(8)
24=12y + 16z ... eq(9)
Subtracting eq(8) from eq(9)
42= -7z
z= -42/7
z = -6
Putting z as -6 in eq.(5)
22= 4y + 3(-6)
22= 4y -18
4y = 40
y = 40/4
y = 10
Putting y as 10 and z as -6 in eq(4)
x = [6 - 4(10) - 3(-6)]/2
x = (6 - 40 - 18)/2
x = -16/2
x = -8
x= -8, y= 10 , z= -6
Related Questions
a series of 1125 consecutive integers has a sum which is a perfect cube find the smallest possible positive sum for this series?
please show your work :)
Answers
If zero is considered to be positive, the answer is zero (0).
otherwise
562 negative consecutive integers, then 0, then 562 positive consecutive integers has a sum of zero (0).
Moving the start, the smallest integer up 1 adds 1125 to the sum.
1125 = 9 * 125
1125 = 9 * 5³
= 9³ * 5³ is the smallest sum
= 45³
= 91125
Therefore the smallest possible sum is 91125
for more questions like this see, https://brainly.com/question/19261165
74.88 is what percent of 72?
Answers
Answer:
104%
Step-by-step explanation:
Please help due today
Answers
Answer:
Step-by-step explanation:
Each boundary line equation is of the form ...
y = mx + b
the value of m is the coefficient of x. The value of b is the constant. You find their values by matching the given relation to the form above, and identifying the matching parts.
y ≤ 1/2x +2 ⇒ m = 1/2, b = 2
y < -2x -3 ⇒ m = -2, b = -3
_____
The slope (m) in each case tells you how many units up (m>0) or down (m<0) the line will go for each unit to the right. The y-intercept (b) in each case gives you a starting point on the y-axis, making it easier to draw the line.
The < part of each inequality symbol tells you the graph will be shaded below the boundary line. (Y-values in the solution set are less than those on the line.) The "or equal to" part of the first inequality symbol tells you the boundary line will be solid. (Y-values on that line are part of the solution set.) The lack of that in the second inequality tells you the boundary line will be dashed.
The graph is shown in the attachment.
What is the slope of the line passing through (1, 2) and (3.8)?
Answers
Answer:
The slope = 3
Step-by-step explanation:
The points are:
( 1, 2 ) = x₁ , y₁
( 3, 8 ) = x₂ , y₂
The slope is calculates as follows:
slope = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
= [tex]=\frac{8 - 2}{3-1} \\=\frac{6}{2} \\=3[/tex]
Answer: The slope of the line is 3
Step-by-step explanation: first you take the points (1,2) and (3,8) then you put then in to the slope formula y2-y1 over x2-x1 which would be 8-2 over 3-1 which 8-2 is 6 and 3-1 is 2 therefore it would be 6/2 which simplified is 3 so the slope is three I hope this helps
Solve the quadratic equation shown below using the completing the square method. x2+6x=−17 Use the drop-down menus to choose the words or numbers to correctly complete each statement below. To solve the equation by completing the square, a first step is to add 17 to both sides of the equation. The resulting equation will be a perfect square trinomial on the left side, which can be factored into the quantity x + 3 squared, and the right side will have a value of . A next step is to take the square root of both sides to isolate the variable . will be a complex number since
Answers
Answer:
7
Step-by-step explanation:
because you just take the quadratic number and divide it by x2 and you get 7!!!
Answer:
x = - 3 ± 2i[tex]\sqrt{2}[/tex]
Step-by-step explanation:
x² + 6x = - 17
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(3)x + 9 = - 17 + 9
(x + 3)² = - 8 ( take square root of both sides )
x + 3 = ± [tex]\sqrt{-8}[/tex] = ± 2i[tex]\sqrt{2}[/tex] ( subtract 3 from both sides )
x = - 3 ± 2i[tex]\sqrt{2}[/tex]
Simplify the expression.
(6/7c)^2
A.) 12/14c^2
B.) 42c^2
C.) 36/7c D.) 36/49c^2
Answers
we have (6/7c)^2 = (6^2)/(7c)^2 = 36/49c^2
so the answer is D
ok done. Thank to me :>
Use the diagram to complete the statement.
Given ΔJKL, cos(60°) equals sin(?)
Answers
Answer:
cos(60) = sin(30)
Step-by-step explanation:
cosine is adjacent over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠60°
sine is opposite over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠30°
Which of the following is another way to express the difference between -5 and 8?
O-5+8
O-5-(-8)
O-5+(-8)
08-5
Answers
[tex]\frac{7}{10} - \frac{2}{5}[/tex]
Answers
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
First, we need to make the denominators the same.
[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]
Then, we subtract the numerator.
[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]
LCD of 10 and 5 is 10.
5 x 2 = 10 so, 2 x 2 = 4 because whatever you do to the denominator, you do to the numerator.
7/10 - 4/10 = 3/10
I really need help with these geometry questions.
Answers
Hey there!
I'm going to go in order from images.
1. The angle measure 60 is linear to angle 6, this would make them supplementary.
Angle 6: 180 - 60 = 120
Angle 6 is vertical to angle 2, this makes them congruent. If angle 6 equals 120 measure 2 also equals 120.
2. Measure 6 is vertical from measure 2. We established in the last problem measure 2 equals 120.
If angle 2 equals 120 measure 6 also equals 120.
3. The 2 equations are alternate exterior angles.
2x+5=8x-7
+7 +7
2x+12=8x
-2x -2x
12=6x
12/6= 2
x=2
4. I cannot explain this one without showing it visually lol.
Measure 5 equals 30 degrees.
5. Measure 1 is verticle to the measure that reads 60. Vertical angles are congruent.
If measure 1 is congruent to the measure that reads 60. Measure 1 equals 60.
I hope this helps!!!
i asked this already but please solve this NO LINKS
Answers
Answer:
-4x^3+12x^2-1
Step-by-step explanation:
= -4x^3 + 2x^2 - 9 + 10x^2 + 8
= -4x^3 + 12x^2 - 1
Ok done. Thank to me:>
POSSIBLE POINTS: 11.76
Which two equations have infinitely many solutions?
A }(6x – 12) = 2(x - 2)
B { (4x + 8) = 2x + 8
C 3(2x - 7) = 6(x – 4) - 3
D 4(x + 6) = x + 3(x + 5) +9
E 5(x + 1) = 3x + 2(x + 1) + 4
Answers
Answer:
B and D.
Brainliest please. :)
Painted Pots lets customers choose and paint their own pottery. The store has teapots in
multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She also
painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery.
3
Which equation can you use to find c, the cost of each teacup?
Time
elapse
00
09
18(C + 4) = 42
40 + 18 = 42
SmartSco
Out of 100
18C + 4 = 42
4(0 + 18) = 42
What was the cost of each teacup?
Answers
Using a linear equation, we find c using:
[tex]42 = 18 + 4c[/tex]
A linear function has the following format:
[tex]A(n) = A(0) + cn[/tex]
In which:
c is the slope, which is the price per unit.A(0) is the y-intercept, which is the fixed price.In this problem, fixed price of $18, hence [tex]A(0) = 18[/tex]
She bough 4 units, and it cost $42, hence: [tex]n = 4, A(n) = 42[/tex]
Then
[tex]A(n) = A(0) + cn[/tex]
[tex]42 = 18 + 4c[/tex]
Hence, the equation to find c is:
[tex]42 = 18 + 4c[/tex]
A similar problem is given at https://brainly.com/question/16302622
the reciprocal of 4 is
Answers
the answer of ur question is 0.25
Explanation:
4 as a fraction would be 4/1. Any whole number that you want to represent as a fraction goes over 1. When finding the reciprocal, we flip the numerator (number on top of the fraction bar) and the denominator (number on the bottom of the fraction bar.) Therfore, it would be 1/4. Hope this helps :)
im very confused on the question attached below....can someone pls explain it with an answer?
Answers
Answer:
There doesnt seem to be a mode
Step-by-step explanation:
The mode is the number that ocurs most in the sequence
EDIT : NEVER MIND IT MIGHT BE LENGTH 8 AS THE FREQURNCY IS THE HIGHEST
Answer:
Yes the mode is 8 cm
Solve the system by substitution. x=-y-9 6x-5y=1
Answers
Answer:
x= -64, y= 55
Step-by-step explanation:
x=-y-9
6(y-9)-5y=1
6y-54-5y=1
y=55
x=-55-9
x=-64
Answer:
{x=-4
{x= -5
Step-by-step explanation:
Substitute into one of the equations:6(- y -9) - 5y=1
Apply Multiplicative Distribution Law:- 6y-54-5y=1
Rearrange unknown terms to the left side of the equation:-6y -5y = 1+54
Combine like terms:- 11y= 1+54
Calculate the sum or difference:-11y=55
Divide both sides of the equation by the coefficient of variable:y= 55÷(-11)
Remove the parentheses:y = -55÷11
Calculate the product or quotient:y=-5
Substitute into one of the equations:x=-(-5)-9
Remove the parentheses:x=5-9
Calculate the sum or difference:x=-4
The solution of the system is:{x=-4
{x=-5.
HELP - John uses 1/3 cup of orange juice for every 1/6 cup pineapple juice for fruit punch. Write the number of cups of orange juice John uses for 1 cup of pineapple juice.
Answers
what is the calculation for 70 increased by 9%
Answers
What is slope ? Help me please
Answers
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
First, let's pick two points on the line.
I am going to pick (10, 10) and (40, 20) as they are easier to read.
Slope is rise over run, or in other words, change in y over change in x.
Let's do the math:
[tex]\frac{change.in.y}{change.in.x} =\frac{20-10}{40-10} =\frac{10}{30} =\frac{1}{3}[/tex]
So, the slope is [tex]\frac{1}{3}[/tex] which we can also check by looking at the graph, find a point then move up and over three!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
30 POINTS:
Function f satisfies f(0) = 2 and f ′(0) = −2. Use this information to compute f^−1′(2).
Answers
Answer:
-1/2
Step-by-step explanation:
The relevant relationship is ...
f^-1'(x) = 1/f'(f^-1(x))
f^-1'(2) = 1/f'(f^-1(2)) = 1/f'(0) = 1/-2
f^-1'(2) = -1/2
_____
The attached graph shows the tangent lines at the relevant points. The red line is the tangent to f(0); the blue line is the tangent to f^-1(2).
The inverse function is the function reflected across the line y=x. So, too, for the tangent lines to the function. Each is a reflection of the other across the line y=x. For the purpose here, the tangent line is a suitable representation of the function at the point(s) of interest.
The function P(h) = 21h represents the total salary at a rate of $21 per
hour, P. as a function of the number of hours worked, h.
Find the total salary, when the number of hours worked is 34.
Answers
Replace h with 34:
p(h) = 21(34)
Multiply :
21x 34 = 714
Answer: $714
Express the given in terms of the logarithms of prime numbers:
[tex]log_{4} 405[/tex]
[tex]log_{7}(\frac{8}{81} )[/tex]
Answers
The required expression in terms of logarithm of prim numbers are;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Prime numbers are numbers that can only be divisible by 1 and itself.
From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers
405 = 3 * 3 * 3 * 3 * 5
405 = 3^4 * 5
8= 2* 2 * 2
8 = 2^3
81 = 3 * 3 * 3 * 3
81 = 3^4
The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
Similarly;
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Learn more here: https://brainly.com/question/23004769
6-4x=7x-9x+2 whats the value
Answers
Answer:
x=2
Hope it's help
Brainliest plz
Answer:
x=2
Step-by-step explanation:
first collect the like term that is
6-2=7x-9x+4x
4=2x divide bothe sides by 2
X=2
solve pls brainliest
Answers
Answer:
1) No it repeating
2)No it doesn't terminate nor repeat
3) yes this terminates
4) no its repeating
Step-by-step explanation:
The monthly rent of Marilyn's house went from $500 to $440, If p is the
percent decrease in the rent, which proportion can be used to calculate p?
A)
р
100
OB)
$440-$500
$440
р
100
$440-$500
$500
$500-$440
$440
$500-$440
P
100
OD)
р
100
$500
Answers
Answer:
p=v-u/t440-500=-60 this is decreasing in the rent so it decreased
let r(t) be the rate in gallons per hour at which water enters a tank. what are the units of r'(t)?
Answers
The units of [tex]r'(t)[/tex] are gallons per square hour.
Dimensionally speaking, [tex]r(t)[/tex], expressed in gallons per hour, is length raised to third power divided by time. Capacity units are volume units.
As rate of change represents the instantaneous change of [tex]r(t)[/tex] in time, then we find that units are length raised to third power divided by time raised to second power.
Hence, the units of [tex]r'(t)[/tex] are gallons per square hour.
To learn more on dimensional analysis, we kindly invite to check this verified question: https://brainly.com/question/10874167
I really need help again any boady that can help that would be awsome I just need to know. Which goes to which Thankyou for the help
Answers
Answer:
1.A
2.D
3.B
4.C
5.D
6.A
7.C
8.C
9.D
Step-by-step explanation:
(Subtract): √125-√45
Answers
Answer:
2√5
Step-by-step explanation:
√125-√45
5√5 - 3√5........simplify
2√5....................combine like terms
125 √45
125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2
125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2hope it helps u
50 points!!! help fast! 50 points!!!
Answers
Answer:
∠PQC = 26.25°
Step-by-step explanation:
∠B and ∠C = 75°∠PCD = 1/2∠C = 37.5°∠DPC = 180 - 90 - 37.5∠DPC = 90 - 37.5∠DPC = 52.5°∠QPC = 180° - 52.5° = 127.5°Finding ∠PQC
1/2 × (180° - 127.5°)1/2 × 52.5°∠PQC = 26.25°Answer:
This calculator is helpful for deciding how many tablets/capsules to dispense and/or how many days the dispensed quantity will last. It will calculate quantity of tablets/capsules needed
Step-by-step explanation:
A baker baked some loaves of bread. 240 loaves were sold by the end of the day. The baker was left with 9/25 of the number of loaves that were baked. How many loaves of bread did the baker bake on that day?
Please do this in a easy way and explain no algebra
Answers
Answer:
The baker baked 375 loaves of bread that day.
Step-by-step explanation:
The baker baked a total of x loaves of bread.
240 loaves were sold by the end of the day.
The baker was then left with 9/25 of the number of loaves that were baked.
We get the equation:
x-240 = 9x/25
When you solve the equation, you will see that x=375.
Therefore, the baker baked 375 loaves of bread that day.