Answer:
The given system of equations is :
2x + 3y + 5z = 1 -> eq. (1)
3x + 2y + z = 5 -> eq. (2)
Multiplying eq. (1) with 3 and eq. (2) with 2, we get :
6x + 9y + 15z = 3 -> eq. (3)
and, 6x + 4y + 2z = 10 -> eq. (4)
respectively.
Subtracting eq. (4) from eq. (3) :
5y + 13z = -7 -> eq. (5)
Multiplying eq. (1) with 2 and eq. (2) with 3, we get :
4x + 6y + 10z = 2 -> eq. (6)
and, 9x + 6y + 3z = 15 -> eq. (7)
respectively.
Subtracting eq. (7) from eq. (6) :
-5x + 7z = -13 -> eq. (8)
Let z = t, where t is a parameter.
We can write eq. (5) and eq. (8) as :
5y + 13t = -7 & -5x + 7t = -13
i.e., 5y = -7 - 13t & 5x = 13 + 7t
y = -(7/5) - (13t/5) & x = (13/5) + (7t/5)
Therefore, the solution for the given system of equations is :
x = (13/5) + (7t/5)
y = -(7/5) - (13t/5)
z = t
where, t can take any value.
Step-by-step explanation:
Tropical Storm Zeta will bring 0.36 in. of rain to New Orleans. Which fraction is equivalent to this amount of rain in inches?
Answer:
36/100
Step-by-step explanation:
saleswoman earns 9% commission on all the merchandise that she sells. Last month she sold $8000 worth of merchandise. How much commission (in dollars) did she earn last month?
Answer:
8720
Step-by-step explanation:
If it's anything like compound / simple interest here's how to do it:
The multiplier for +9% is 1.09
8000 x 1.09 = 8720
Suppose that in 8 minutes, 64 gallons of water came out of a pipe.
What was the rate in gallons per minute?
gallons per minute
Answer:
8 gallons/minute
Step-by-step explanation:
8 minutes= 64 gallons
1 mintes = x
8x= 64 gallons
x=8 gallons
8 gallons/minute
Simplify the following expression: (12x – 7) + (7x + 9)
A) 19x – 2
B) 5x+ 16
C) 5x – 16
D) 19x + 2
Answer:
D.
Step-by-step explanation:
12x + 7x = 19x
-7 + +9 = 2
Answer:
d
Step-by-step explanation:
PLEASE I NEED DESPERATE HELP
Anybody have unwanted pets in adopt me? my only pet isn't for trade
Tip: Try taking care of, that pet and make more money to buy eggs to trade or hatch and thats an easy way to get rich if you don't have robux
Step-by-step explanation:
No, sorry. But I have a tip/hack for everyone! (I don't know if it still works)! Get 3 cracked eggs, and 1 royal egg... take care of them all until their last need. Hatch your cracked eggs first, THEN the royal egg last ... there should be a legendary in the royale egg! I tried this two times and I got a legendary each time! <3
What is the value of y?
88
need help
Answer:
The answer to your question is 44 degrees.
Step-by-step explanation:
ABCD and CDEF are two parallelograms
constructed on both sides of (CD).
Prove that ABFE is a parallelogram.
Answer: ABFE is a parallelogram
Step-by-step explanation: If ABCD uses the same angles (AB) as ABFE does this can only mean that they are equal, therefore they are both parallelograms
Hope this Helps :)
find equation of the line PLEASE HELP!
Answer:
y=1/2x-3
Step-by-step explanation:
Hope this helps :) Have a great day!!!
Can someone explain?
8x + 3y = 13
3.x + 2y = 11
Answer:
what it means ,if there is already ans
The graph above shows the costs of two phone plans. How many minutes does a person need to call each month so that Plan B is the less expensive plan to use?
A. Less than 10 minutes
B. More than 10 minutes but less than 20 minutes
C. More than 30 minutes but less than 40
D. More than 40 minutes
Answer:
uhm, i need this answer also
Step-by-step explanation:
did you ever get the answer ? if so could you be kind enough to give it to me pleasee
What is the range of the graphed function?
{x |1< x < 5)
{y |1 < y <5}
{x | x is a real number}
{y|y is a real number}
Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
[tex]V=\sqrt[3]{x-1}+3[/tex]
Determining the domain:
We know that the domain of a function is the set of input values for which the function is defined.
From the given graph, it is clear that the function has no undefined points nor domain constraints.
Therefore, the domain is:
{x | x is a real number}In other words:
[tex]\mathrm{Domain\:of\:}\:\sqrt[3]{x-1}+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determining the range:
We know that the range of a function is the set of values of the dependent variable for which a function is defined.
It is clear from the graph that the range can be any real number.
i.e. the range is:
{y|y is a real number}
In other words,
[tex]\mathrm{Range\:of\:}\sqrt[3]{x-1}+3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Luke rides his bike to his aunt's house. He travels 10 mi/h. Because it starts to rain, Luke's aunt drives him home in a car traveling at 25 mi/h. It takes Luke 1.5 h longer to get to his aunt's house than to return home. How many hours did it take Luke to ride to his aunt's house?
Answer:
2.5 hours
Step-by-step explanation:
Let t = time in hours for reach friend's house
(t-1.5) = time for friend to drive her home
:
Both trips are the same distance, Write a distance equation from this fact:
Distance = speed * time
Drive distance = Bike distance
Equation-
step1) 25 (t-1.5) = 10t (here u multiply 25 by t and 25 by 1.5)
step2) 25t - 37.5 = 10t (move 37.5)
step3) 25t - 10t = +37.5 (subtract 25t from 10t)
step4) 15t = 37.5 (divide 37.5 by 15)
step5) t = 2.5 (time it took Luke to reach his aunt's house)
What is the frequency of (x) = 4 sin(6 π x) +1
Answer:
Frequency is 3
Step-by-step explanation:
A sine function repeats in periods and it's frequency can be gotten using:
y(x) = sin(2πfx) where f is the frequency
We are given x = 4sin(6πx) + 1
This can be rewritten as: x = 4sin(3*2πx) + 1
Therefore, our f = 3.
Hence frequency of the sine function is 3.
help pls Ix would really appreciate
Answer:
B
Step-by-step explanation:
g(2)=-7 because -(2)-5=-7
f(-7)=-18 because 2(-7)-4=-18
I need the answer to 26. And 27. Please
Answer:
Below in bold.
Step-by-step explanation:
26.
First convert each mixed number to an improper fraction:
-12 2/3 = -38/3
- 1 1/9 = -10/9
-38/3 = -10/9 * y
y = -38/3 / -10/9
y = -38/3 * -9/10
= -38 * -3 / 10
= 114/10
= 57/5
= 11 2/5.
27,
1 5/7 = 1 13/14 a
12/7 = 27/14 a
a = 12/7 / 27/14
= 12/7 * 14/27
= 24/27
= 8/9.
Which expression is equal to
[tex]\frac{7}{8}[/tex]?
A.7 divided by 8
B.8x7
C.8 divided by 7
D. 7x8
2. If the same ball is dropped from 10 feet and is caught exactly at the highest point after the 25th bounce, what is the
total distance traveled by the ball? Use what you learned from the last problem.
1-
In linear equation, 1.05 feet the total distance traveled by the ball.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.
dropped from 10 feet and caught at highest
So , 10 / 9 = 1
h = v² / 29 = 0.05 feet
1 = 0.05 = 1.05 feet
Learn more about linear equation
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the greatest common divisor of positive integers $m$ and $n$ is $8$. the least common multiple of $m$ and $n$ is $112$. what is the least possible value of $m n$?
Given the greatest common divisor and the least common multiple, the least possible value of mn is 896
How to determine the least possible value of mn?The given parameters are:
M and N are positive integers
Greatest common divisor = 8
Least common multiple = 112
As a general rule;
The product of the greatest common divisor and the least common multiple of numbers represent the product of the numbers
This means that
mn = Greatest common divisor * Least common multiple
So, we have
mn = 8 * 112
Evaluate
mn = 896
Hence, the least possible value of mn is 896
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Solve this equation 2/3 x - = x - 1
Answer:
X=1/7
Step-by-step explanation:
another fraction operation, what is 1/4 divide by 1/4
answer
624/10000 or 39/625
Answer:
The answer is 1
:D
Step-by-step explanation:
1/4 ÷ 1/4 = 1/4 ÷ 4/1 (flip the recipocal) = 1
The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the shoreline. Write an equation that represent this graph.
9514 1404 393
Answer:
y = -3x +9
Explanation:
i need help!
number 14
Answer:
I’m gonna edit This answer give me a sec to do the work
Step-by-step explanation:
Answer:
1. One Solution
2. No Solution
3. Infinitely Many
Hope this helps :)
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
Answer:
22 meters per second
Step-by-step explanation:
If a car is going 374 meters in 17 seconds then you divide 374/17 claiming that the car is going 22 meters every second.
the dimensions of a rectangular plot of land are 28.3m by 53.7m. Find
1) the perimeter of the land, correct to the nearest 10
2) the area of grass needed to fill up the entire plot of land, correct to the nearest 100m^2
also show the steps
Answer:
1. Answer is 160 m
2. Answer is 1500 m²
Step-by-step explanation:
perimeter = 2(l+b)
which implies 2( 28.3 + 53.7) m = 160 m
Area is length× breadth
which implies 28.3× 53.7 = 1500 m²
Please mark me brainliest
a student earned a grade of 80% on a math test that had 20 problems how many problems on this test did the student answer correctly
Answer:
16
Step-by-step explanation:
To find 80% of 20, multiply .80 x 20
.80×20 = 16
This is how you multiply percentages--put the decimal point 2 places to the left, then multiply. In this case, you're looking at 80%, so move the decimal point two places to the left
80.0 becomes .80
Then multiply that by the number you're trying to find the percentage of
The sum of 333 consecutive odd numbers is 183183183.
What is the second number in this sequence?
Answer: if this is khan academy the answer is 61
Step-by-step explanation:
800,000,000,000 + 20,000,000,000 + 3,000,000,000 + 50,000,000 + 4,000,000 + 600,000 + 50,000 + 8,000 + 700 + 80 + 6
Write the standard form of the number shown above.
Answer:
823,546,580,786
Step-by-step explanation:
If you look at the place values, that will help you determine the standard form. Hope this helps!
Which could be the function graphed below?
Answer:
sqrt(x+4)
Step-by-step explanation:
the graph is sqrt(x) translated 4 to the left, so +4
The function graphed is option D. [tex]f(x) = \sqrt{(x+4)}[/tex], the function is translated 4 times horizontally to the left.
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The function is translated horizontally to the left. the base function is [tex]y = \sqrt{x}[/tex].
A. f(x) [tex]\sqrt{(x-5)} + 1[/tex], the graph should be translated horizontally 5 units to the right.
It's not the case and the translated 1 unit vertically.
B. [tex]f(x) = \sqrt{(x-2)}[/tex] the graph should be translated horizontally 2 units to the right. It's not the case.
C. [tex]y = \sqrt{x}[/tex], the graph should start at x=0. It's not the case.
D. [tex]f(x) = \sqrt{(x+4)}[/tex], the function is translated 4 times horizontally to the left. So this is the case.
Therefore, the function graphed is option D. [tex]f(x) = \sqrt{(x+4)}[/tex], the function is translated 4 times horizontally to the left.
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