Find the solution to the system of equations.
3x + y + z = 6
3x - y + 2z=9
y+ Z=3
O A. x = 2, y=-1, z = 5
O B. x = 1, y = 0, z = 3
O C. x = 5, y = -2, z = 6
O D. x = 2, y = 1, z = 4
Answers
Answer:
B. x = 1, y = 0, z = 3
Step-by-step explanation:
Systems of linear equations are readily solved by a suitable calculator or spreadsheet. The attached calculator display shows the solution to be ...
x = 1, y = 0, z = 3
__
There are several ways a calculator can solve these equations. The method shown here is to input the equations as an augmented matrix of their coefficients, and reduce it to row-echelon form. The right-most column of the reduced matrix is the set of variable values in the same order as the coefficients.
A graphing calculator can also be used to graph the equations. You may have to write one variable in terms of the others. (Here, it is convenient to let z=3-y.) The second attachment shows the solution (x, y) = (1, 0). This is sufficient to choose the correct answer. Or, you can finish the solution by substituting into the expression for z: z = 3 -y = 3 -0 = 3.
Many calculators will solve the system of equations after you enter it as presented in the problem statement.
Related Questions
divide 2/3 by 1/5 into mixed nuber
Answers
Answer:
3 and 1/3 is your answer: aka 10/3
Step-by-step explanation:
hope this helps
What is the value of the expression below? 7 - 4+5
A. 14
B. 40
C. 50
D. 15
Answers
Answer:
50
Step-by-step explanation:
First we Calculate what [tex]7^{2}[/tex] is equvalet to:
7 * 7 to solve and get 49
Our equation then becomes:
49 - 4 + 5
Next, subtract left to right:
49 - 4 = 45
Now we get:
45 + 5 = 50 (our answer)
b. Lisa has 120 sweets. She gives 2 of them to
her brother. How many sweets does Lisa have left
Answers
Answer:
118
Step-by-step explanation:
Answer:
118
Step-by-step explanation:
120-2=118
118 sweets left!
Use the graph that shows the number of laps completed over time. Find the slope of the line.
Answers
By using the given graph, we will see that the slope of the linear equation is:
a = 0.5 laps per minute.
How to find the slope of the line?
For a linear equation:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁).
So we need to look at the graph and identify two points, we will use:
(10 min, 5) and (20 min, 10)
So the slope is:
a = (10 - 5)/(20 min - 10 min) = 0.5 laps per minute.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
In a random sample of 60 students in first grade, the mean hours of sleep per night was 9.6 with a
standard deviation of 0.51. In a random sample of 40 students in 12th grade, the mean hours of sleep per
night was 7.2 with a standard deviation of 0.62.
Which interval is a 99% confidence interval for the difference between the mean hours of sleep?
O (2.36 h, 2. 44 h)
O (2. 19 h, 2.61 h)
O (2. 10 h, 2. 70 h)
O (2.29 h, 2.51 h)
Answers
Answer:
c is your answer
Step-by-step explanation:
If nitrogen is warmer than -320 degrees Fahrenheit, it will be a gas.
Write an inequality that is true only for temperatures at which nitrogen is a gas.
Answers
Answer:
Step-by-step explanation:
If nitrogen is warmer than -320 degrees farenheit it will be gas .write an inequality that is true only for temperatures (t) at which nitrogen is a gas.
✓ t>-320=gas if I'm thinking about it correctly
Nathan sold 120 shares of Mowery, Inc., at $95 per share and paid a commission of $9. What were his proceeds?
Answers
Answer:
I think its $11409
Step-by-step explanation:
maybe not but please trust me
A plane that carries mail makes a round trip each day from Chicago to New York. It makes 2 intermediate stops on the way to New York and 3 intermediate stops on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?
5
7
8
Answers
Stops means height is 0 then
So
Total stops while NY=2Total stops while Chicago=3Total stops on both:-
2+35The graph will reach horizontal axis 5times
You bought lunch for you and your friend. Lunch came to $22.45 and the sales tax
rate was 9.5%. What is the sales tax amount? (Show your work)
Answers
Step-by-step explanation:
⇢ [tex] \sf 22.45 × \frac{9.5}{100} [/tex]
⇢ [tex] \sf \bold{22.45} × 0.095 [/tex]
⇢ 2.13275
⇢2.1 (1 dp)
[tex] \therefore [/tex] Sales tax = $2.1
Eva deposited $50 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 2 years?
Answers
Step-by-step explanation:
Simple Interest = P.R.T / 100
P= Principal (Amount invested) =$30
R= Rate= 10%
T= Time = 3 years
Therefore, Simple Interest (1):
I = PRT/100
1 = ($30 * 10 * 3 ) / 100
I = $900 / 100
1 = $9
She will have a total of $9 in three years
A 9-foot roll of waxed paper costs $3.69. What is the price per yard?
Answers
Answer:
11.07
Step-by-step explanation:
a yard is three times a foot so 3×3.69 is the answer
I didn't read it right, ignore me
help me please with this problem
Answers
Answer:
20.4
Step-by-step explanation:
First you do 8947.95/30.25 and you will get 295.8 the you divide that by 14.5 and you will get 20.4 and that will be your answer
⭐ Question 4(challenging)
What is...
Square root of 61 plus [tex]\pi[/tex] times six to the power of ten
Answers
Answer:
189960102.12251
Step-by-step explanation:
[tex]\sqrt{61}+\pi 6^{10}=\sqrt{61}+60466176\pi[/tex]
Please answer fast, ive been asking for weeks
Answers
Answer:
6cm
Step-by-step explanation:
Here, base=10cm
Length=7cm
A=70 cm2
(Do same to other sides rect.)
A=42 cm2
A= 56 cm2
A of triangle=24*2(2 triangle)( UseHerons formula)
=48 cm2
adding all A=216 cm2
Area of cube=6l2
216=6l2
simplify
l=6cm
21.
Use the information given to answer the question.
Consider the information about the number of customers that select various frame
colors at a frame store one day.
• 15 customers select white frames.
• 30 customers select black frames.
• 45 customers select gold frames.
Part A
If there are a total of 2.200 customers that order from the frame store one month, what
is the best approximation for how many customers that month select a black frame?
A. 367 customers
B. 733 customers
C. 1, 100 customers
D. 1. 167 customers
Answers
Answer:
B. 733 customers
Step-by-step explanation:
15+30+45=90
since 30 people select a black frame, 1/3 of the customers picked black frames. If this data is consistent through the month (which we have to assume it is) then that means 1/3 of customers select a black frame on average. 1/3 of 2,200 is about 733, so we can assume, using the data given, that about 733 customers selected black frames! :)
Can someone please state the answers
Answers
Answer:
i think it is the first one
Step-by-step explanation:
Which will have a negative number?
A)
(-3)(-9)
B
(-6) (4)
-4-5
D)
-7-9
Answers
Answer:
[B] (-6)(4)
[C] -4 -5
[D] - 7 -9
Step-by-step explanation:
Note that: {Only with ()}
Negative + Negative = Positive
Negative + Positive = Negative
Positive + Positive = Positive
Hence,
[A] (-3)(-9) =27 Negative + Negative = Positive
[B] (-6)(4) = -24 Negative + Positive = Negative
[C] -4-5 = -9
[D] -7-9 = -16
Thus, the answer is
[B] (-6)(4)
[C] -4 -5
[D] - 7 -9
[RevyBreeze]
Answer:
All of them except A.
Step-by-step explanation:
A = -3 * -9 = 27.
product of 2 negatives is a positive.
B: (-5*4 = -24
C: -4-5 -9
D. -7-9 = -16
How do you do 42.5 times 86?
Answers
Answer:
3655 use a calculator
Step-by-step explanation:
HELP PLS PLS PLS PLS PLS z
Answers
Answer:
126
Step-by-step explanation:
I got a protracter
Tom saved x silver coins, y gold coins and z bills. How much has Tom saved?
A) xyz
B) x+y+z
C) 3(xyz)
D) z-(y+x)
Answers
bcs the question just asked how much has tom saved so just have to total up everything
Answer:
B) x+y+z
Step-by-step explanation:
CARRY ON LEARNING
CORRECT THIS ANSWER
MARK A BRAIN LESS
NEED HELP BRAIN LY FAST
what is the 25% of 52
Answers
Is this the answer please check my answer!!! Thank you!
Answers
Answer:
Yeah, you're right.
Step-by-step explanation:
(7y to the fourth power) to the second power
Answers
Answer:
7y^(8)
Step-by-step explanation:
(7y^4)^2
=7y^(4×2)
=7y^(8)
MAX POINTS
WILL GIVE BRANLIEST PLEASE HELP
h(x)=3/x-h +k
Oh no! He seems to be missing some parts though. He was "robbed" of his
asymptotes.
Luckily, he can remember what they were:
1. This functions vertical asymptote was x=-5.
2. This functions horizontal asymptote was y = 12.
Please recreate this function with those identifying features! Please make sure it
looks like the function in the picture
Answers
Let's do
[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x-h}+k[/tex]
Release k for some while
If
we take h=0So
y=3/xSo vertical asymptote is at origin now
It mentioned that it's at x=-5 so we need to change x
put -5 in place of h[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x-(-5)}[/tex]
[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x+5}[/tex]
Vertical asymptote at x=-5Now
for k=0 horizontal asymptote at originBut it's given
y is at 12Same put y=12 in place of k
[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x+5}+12[/tex]
h=-5k=12Graph attached for verification
Answer:
h(x)=3/x+5 +12
Step-by-step explanation:
Help I don’t get it at all
Answers
Answer:
The answer is B.
Step-by-step explanation:
There is one shaded part out of four parts. This means that the shaded part takes up one-fourth of the overall box, or 1/4. To convert fractions to decimal, you need the denominator to be 100: therefore you multiply 25 to the numerator and denominator: 25/100. This is equal to 0.25 or 25%. The answer is B.
Answer:
B.
Step-by-step explanation:
¼ = 1÷4=0.25
0.25×100=25%
Describe the transformations from the parent function f(x)=x^2 to the function g(x+2)^2+5
2 units to the right, 5 units up
2 units down, 5 units to the left
2 units down, 5 units to the right
2 units to the left, 5 units up
Answers
Answer: 2 units to the right, 5 units up
Step-by-step explanation:
Jackson wants to make a scale drawing of idaho, which has a maximum length of about 480miles and a maximum width of about 300 miles. Jackson will use a width of 40 centimeters in his drawing. How long should the length of idaho be in jackson’s drawing?
Answers
Answer:
64
Step-by-step explanation:
scale problem
ratio:
300/480 = 40/x
300x = 19200
x = 19200/300
x = 64
quiziz
The scale on a drawing reads 1/16^ prime prime =1^ prime .A2 inch long line represents
A. 8 feet
B. 16 feet
C. 32 feet
D. 64 feet
Answers
So
1 in line represents 16ft i e 2^4 ftHence
2in line represents
2(2^4)2(16)32ftThe perimeter of a deck is 48 ft. If the length is 16 ft., what is the width?
Answers
Answer:
8
Hope This Helps1 :) Please give Brainliest if this does!
Refer to attachment below;
Help picture below problem 10
Answers
Answer:
your answer is none of the above