(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
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
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!
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
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.
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
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! :)
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.
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.
See attachment for question. 8th grade algebra
Answer:
the answer is -2
Step-by-step explanation:
your welcome have a great night
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
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
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
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!
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
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
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
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:
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.
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
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]
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.
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
Please answer ASAP!!! :)
.-. .-. .-. .-. .-. .-.
Answer:
I highly recommend that it must be the second story
Write a justification for each step
Solve the inequality.
m-(-4) <8
Answer: m = 4
m + 4 < 8
m + 4 − 4 < 8 − 4
m < 4
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:
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♨
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