(1)
[1] x + 5y - 4z = -10
[2] 2x - y + 5z = -9
[3] 2x - 10y - 5z = 0
Eliminate x by adding -2[1] to [2], and adding -1[2] to [3]:
-2(x + 5y - 4z) + (2x - y + 5z) = -2(-10) + (-9)
-2x - 10y + 8z + 2x - y + 5z = 20 - 9
[4] -11y + 13z = 11
-(2x - y + 5z) + (2x - 10y - 5z) = -(-9) + 0
-2x + y - 5z + 2x - 10y - 5z = 9
[5] -9y - 10z = 9
Eliminate y by adding -9[4] to 11[5]:
-9(-11y + 13z) + 11(-9y - 10z) = -9(11) + 11(9)
99y - 117z - 99y - 110z = -99 + 99
-227z = 0
z = 0
Plug this solution into either [4] or [5] and solve for y :
[5] -9y - 10(0) = 9
-9y = 9
y = -1
Plug them both into either of [1], [2], or [3] and solve for x :
[1] x + 5(-1) - 4(0) = -10
x - 5 = -10
x = -5
(2)
[1] 2x - y + z = -4
[2] z = 5
[3] -2x + 3y - z = -10
Substitute [2] into [1] and [3]:
2x - y + 5 = -4
[4] 2x - y = -9
-2x + 3y - 5 = -10
[5] -2x + 3y = -5
Solve [4] for y :
2x - y = -9
2x + 9 = y
Substitute this into [5] and solve for x :
-2x + 3(2x + 9) = -5
-2x + 6x + 27 = -5
4x = -32
x = -8
Plug this into either [4] or [5] to solve for y :
[4] 2(-8) - y = -9
-16 - y = -9
y = -5
Is 3/17 a rational number
Answer:
no
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
A rational number is number that can be made by dividing two integers, like a fraction, or a ratio. Something that would not be a rational number would be like the square root of 2.
PLS HELP IM GOING TO GET KICKED OFF MY SOCCER TEAM IF I DONT PASS MATH
Answer:
Answer is x = -1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
i wish that you stay in your soccer team
the price of a necklace was increased by 10% to £150. what was the price before the increase
Answer:
$135
Step-by-step explanation:
10% of 150 = 15
150 - 15 = 135
Increased by 10%.
So, 150 x 0.10 = 15
The necklace was increased by £15.
The price before the increase is £150 - £15.
This amount is £135.
Rewrite the function by completing the square
h(x)=4x^2+4x+1
Answer:
[tex]h(x) = 4(x+\frac{1}{2})^{2}[/tex]
Step-by-step explanation:
[tex]h(x)=4x^2+4x+1\\h(x)=4(x^2+x+\frac{1}{4}) \\h(x)=4(x^2+x+\frac{1}{4})\\h(x) = 4(x+\frac{1}{2})^{2}[/tex]
HELP! ASAP! 3x - 4y = -7 and 4x + 3y = 24 solve for x and y
Answer:
x = 3
y = 4
Step-by-step explanation:
3x -4y = -7
4x + 3y = 24
write the first equation in terms of y
3x - 4y = -7
3x + 7 = 4y
3x/4 + 7/4 = y
now substitute that into the second equation
4x + 3y = 24
4x + 3(3x/4 + 7/4) = 24
4x + 2.25x + 5.25 = 24
6.25x + 5.25 = 24
6.25x = 24 - 5.25
6.25x = 18.75
x = 18.75/6.25
x = 3
last step, substitute x for 3 in the equation.
y = 3x/4 + 7/4
y = 3*3/4 + 7/4
y = 9/4 + 7/4
y = 4
Answer:
[tex] \boxed{x = 3 \: and \: y = 4}[/tex]
Step-by-step explanation:
[tex]3x - 4y = -7.....(eq)1 \\ 4x + 3y = 24 .....(eq)2 \\ \boxed{step \: 1}\\ \times 4....3x - 4y = -7 \\ \times 3....4x + 3y = 24 \\\boxed{step \: 2} \\ 12x - 16y = - 28 \\ 12x + 9y = 72 \\ \boxed{step \: 3} \\ 12x - 12x - 16y - ( + 9y) = - 28 - 72 \\ - 25y = - 100 \\ y = \frac{ - 100}{ - 25} \\\boxed{ y = 4}\\.................. \\ \boxed{step \: 4} \\ substitute \: the \: value \: of \: y \: in \: .....(eq)1 \\ 3x - 4y = -7 \\ 3x - 4(4) = - 7 \\ 3x - 16 = - 7 \\ 3x = - 7 + 16 \\ 3x = 9 \\ x = \frac{9}{3} \\ \boxed{ x = 3}[/tex]
♨Rage♨
Kate had $28. After she bought a book , she had $18.05 how much did Kate spend on the book
Answer:
kate spent $9.95 dollars on the book
Step-by-step explanation:
Answer: She spent $9.95 on the book. $28.00 - $18.05 = 9.95
how many numbers are in pi
Answer:
31 trillion digits
Step-by-step explanation:
Is my teacher wrong or my answer is wrong
The one in the box is the teacher answer
By the second one is my answer
Answer:
i would say you bc the teachers alway right
Step-by-step explanation:
Jessica has an account with a credit union. Her account earns 2.7% simple interest yearly. Exactly a year and a half ago, she opened her account with $900.
WILL MARK BRANLIEST!! URGENT
Happy Paws charges $20.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.
The equation is: ______=______
The total cost of the services will be equal at __ hours.
Answer:
The equation is: 20 + 4.5h = 11 + 5.75h
The total cost of the services will be equal at 7.83 or 8 hours.
Step-by-step explanation:
This equation is correct because it shows that these two scenarios equal the same amount of money when there is a certain amount of hours, or "h."
Here is how we solve the equation;
20 + 4.5h = 11 + 5.75h <-----Here is the original equation.
Service A Service B
1. 20 - 20 + 4.5h = 11 - 20 + 5.75h
2.4.5h - 5.75h = -1.15h -9 + 5.75h/5.75 =
3. -1.15h/-1.15 = h 9/-1.15 = 7.83
h = 7.83 or 8 hours when rounded to the nearest hour
Hope this helps! :)
Given that 529 × 3.8 = 2010.2
write a division with an answer of 5.29
Answer:
Step-by-step explanation:
2010.2/380= 5.29
Answer:
5.29 = 20.102 / 3.8.
Step-by-step explanation:
529 × 3.8 = 2010.2
So 529 = 2010.2 / 3.8
We need 5.29 on the left so we divide both sides by 100:
5.29 = 2010.2 / (3.8*100)
5.29 = 20.102 / 3.8
See attachment for question. 8th grade algebra
Answer:
the answer is -2
Step-by-step explanation:
your welcome have a great night
Write a justification for each step
Simplify Simplify Simplify
Answer:
[tex]2 \sqrt{6} [/tex] (second option)
Step-by-step explanation:
[tex] \sqrt{24} [/tex]
[tex] \sqrt{ {2}^{2} \times 6 } [/tex]
[tex] \sqrt{ {2}^{2} } \sqrt{6} [/tex]
[tex] \sqrt{ {2}^{2} } = |2| = 2[/tex]
[tex] = 2 \sqrt{6} [/tex]
Answer:
2√6
Step-by-step explanation:
Because 2 multiplied by itself is 4
4 times 6 is 24
You multiply 2 by itself is because of the square root
Square roots are the opposite of exponents
Just like how addition is the opposite of subtraction
2^2 is 4
√4=2
Since 24 has a 4 in its multiple you can simplify it into 2 and put it on the outside
Hope this helps!
At a baseball game, 6 hotdogs cost $27. What is the cost of 1 hotdog? How many hotdogs can you buy for $18
Answer:
What is the cost of 1 hotdog?
Answer: $4.50
How many hotdogs can you buy for $18?
Answer: 4
Step-by-step explanation:
If $27 can buy you 6 hot dogs, to find the cost of one, we just divide.
27 divided by 6 = 4.5 ($4.50)
So 1 hotdog costs $4.50
If 1 hotdog is $4.50, and we want to know how much we can buy for $18, then we divide again.
18 divided by 4.5 = 4
So for $18, we can buy 4 hotdogs
help somebody please , i’ll cash app you .
Answer:
Yes
Step-by-step explanation:
When you substitute
y: 11
x: -2
Substitute:
y=x+13
11=-2+13
11=11
This is always true.
Evaluate the expression: 0.5f - 2.3g where f = 12 and g = 2
Answer:
1.4
Step-by-step explanation:
0.5f-2.3g where f=12 and g=2
substitute 12 in for f and 2 in for g and solve
0.5(12)-2.3(2)
6-4.6=1.4
Answer:
-4.6g + 6
Step-by-step explanation:
(0.5)(12)−2.3g(2)
=6+−4.6g
Answer:
=−4.6g+6
if y varies directly as x and y = 3 when x = 24, find y when x = -16
Answer:
-2
Step-by-step explanation:
y/x=constant
3/24=y/(-16)
y=-2
The discount price of a hat is $18. What is the regular price?
Without that value, we can't solve your problem, unless you are looking for an algebraic equation.
Mr. Jackson gave an exam worth 50 points.
The mean score on the exam was 38, and the standard deviation was 4.
Mr. Jackson also reported his students’ z-scores.
Corey’s z-score was –1.75. This means that Corey scored points on the exam.
Z = (score - mean)/sd
-1.75 = (x - 38)/4
Multiply both sides by 4:
-7 = x -38
Add 38 to both sides:
x = 31
He scored a 31 points on the exam
Answer:
The person above is right, and deserves brainliest.
31 Is the correct answer
ED2021
Consider the graph of the function f(x)=10^x.
Using graph, the value of g(x) = 8 and the y- intercept at the point (0,-1).
What is graph?A graph is a "mathematical representation of a network and it describes relationship between lines and points".
According to the question,
f(x) = [tex]10^x[/tex]
g(x) = -4f(x) +12
g(x) = -4 (10ˣ) +12
The graph intersect at y-axis then x-coordinate should be zero.
Let take any two points on y-axis (0, 1) and substitute g(0) = -4 (10⁰) + 12
= 8
Hence, the value of g(x) = 8 and the y- intercept at the point (0,-1).
Learn more about graph here
https://brainly.com/question/1511748
#SPJ2
If a factory can produce 850 teddy bears in 2 days, how many teddy bears will it produce in 3 days?
Answer:
Step-by-step explanation:
I believe if you multiply 850×2= 1700.
Multiply 850×3..
That would equal to 2550.
PLEASE HELP KWNVENVIENIWDCNINVJDSNIDNVJN
Answer:
y1 - y2/x1 - x2
1. -3/8
5 - 2/0 - 8
3/-8
-3/8
2. 1/2
1 - (-1)/6 - 2
1 + 1/4
2/4
1/2
3. -1 1/2
-5 - (-2)/-1 - (-3)
-5 + 2/-1 + 3
-3/2
-1 1/2
Which of the following is a solution of 4x^2=-9x-4
Answer:
(-9+√17)/8
Step-by-step explanation:
its an example of quadratic
3. A googol is a very large number expressed as
10100. Ms. Rogers asked her students to
determine which number is larger, a googol
or 10010. Explain how her students might use
the idea of repeated factors in order to find
the solution.
Answer:
10^100 is larger than 100^10.
Step-by-step explanation:
10^100 compared to 100^10, we have 10^100 greater. 100^50 would equal to 10^100, as 10^2=100. 10^100 would be much more than 100^10.
Hope the explanation helps!
Solve the inequality.
m-(-4) <8
Answer: m = 4
m + 4 < 8
m + 4 − 4 < 8 − 4
m < 4
Enter the number of rows needed and the number of seats that will be left over.
826 seats and 42 seat per row
rows
extra seats
Answer:
Assuming the covered digits are _
The sum is 826.
243 + 1_7 + _26 = 826
The objective is to determine the sum of the two unknown digits
So; we need to think about what number can we add put in 1_7 to determine the covered digit in _26
From ; 1_7 , we have the choice to pick from 0 - 9
Assuming the covered digit is 0; let's check if we are right
So; 243 + 107 + _26 = 826
350 + _26 = 826
_26 = 826 - 350
_26 = 476
So; the covered digit is in the position of 4 , but it doesn't tally together
i.e 426 is not the same as 476, which makes our assumption to be wrong.
Let consider the covered digit to be 5 for example.
So; 243 + 157 + _26 = 826
400 + _26 = 826
_26 = 826 - 400
_26 = 426
The covered digit is in the position of 4
SO;
426 = 426
Here , our assumption is right.
As such , the covered digits are 5 and 4
The sum of the two covered digits are = 5 + 4 = 9
Step-by-step explanation:
Please answer ASAP!!! :)
.-. .-. .-. .-. .-. .-.
Answer:
I highly recommend that it must be the second story
will give brainlyest if u help
Answer:
No, because it fails the vertical line test ⇒ B
Step-by-step explanation:
To check if the graph represents a function or not, use the vertical line test
Vertical line test: Draw a vertical line to cuts the graph in different positions,
if the line cuts the graph at just one point in all positions, then the graph represents a functionif the line cuts the graph at more than one point in any position, then the graph does not represent a functionIn the given figure
→ Draw vertical line passes through points 2, 6, 7 to cuts the graph
∵ The vertical line at x = 2 cuts the graph at two points
∵ The vertical line at x = 6 cuts the graph at two points
∵ The vertical line at x = 7 cuts the graph at one point
→ That means the vertical line cuts the graph at more than 1 point
in some positions
∴ The graph does not represent a function because it fails the vertical
line test
if u missed my first on here: If you can guess my number from 1-10 in your first try ill give brainliest :) but if you are like 1-2 numbers away, (soooo close) I'll still give you a brainliest
Answer:
7
Step-by-step explanation:
I think 7...... so yeah
Answer:
5 I think think
Step-by-step explanation:
5 I think