Solve the system of equations:
X+y+z=5
-3x-4y+4z=15
2x-y-4z=-8
Answers
Answer:
Solution By Gauss jordan elimination method
x = 3, y = 2 and z = 4
Related Questions
A box contains ten slips of paper numbered 1 through 10. Find the
probability and describe the likelihood of each event.
a. Choosing a number greater than 2
b. Choosing a number that is a multiple of 2
c. Choosing a number that is less than 10
Answers
Answer:
a - 4/5
b - 1/2
c - 9/10
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10
8/10 4/5
5/10 1/2
50PTS Chef Alfredo has noticed some changes in his business. He usually sells 45 pizzas on
Sunday afternoons. During football season, he has big television screens televising NFL
games and he sells 72 pizzas. What is the percent change and is it an increase or
decrease?
Answers
Answer:
60% increase
Step-by-step explanation:
The formula for percent change: new value-old value and divide this by the old value. Then multiply by 100
So, 72-45=27
27/45=0.6
0.6*100=60
60%
The area of a square is 900cm, Find the perimeter
Answers
Answer:
3600
Step-by-step explanation:
the formula to find the area of a square is:
A=a2
the formula to find the perimeter of a square is:
P=4a
hope that helps
Answer:
30 cm
Step-by-step explanation:
we know that the area of a square is axa (a side)
that is a^2
a^2 = 900
prime factorization of 900 = 2x3x5
=30 cm
( verification ) axa = 30x30 ='900
perimeter = 4x side
side=30
=30x4
=120 cm
therefore ans done
A cup of 205° coffee on a table in a 72° room loses approximately 15% of its temperature every minute until it reaches room temperature. The resulting exponential model for the temperature, t, after m minutes can be approximated by the model t = 133(0.85)m + 72.
What is the temperature after 22 minutes?
Answers
The temperature after 22 minutes is 75.75 degrees
Equations and exspressionsGiven the resulting exponential model for the temperature, t, after m minutes can be approximated by the model t = 133(0.85)^m + 72.
If the time used is 22 minutes, the required temperature dring this time is expressed as:
t = 133(0.85)^22 + 72
t = 3.725 + 72
t = 75.75
Hence the temperature after 22 minutes is 75.75 degrees
Learn more on functions and values here https://brainly.com/question/10439235
Lucy bought three books at a bookstore. Here are their prices (in dollars).
7.58, 16, 18.24
What is the total amount Luct paid at the bookstore?
Answers
Answer:
41.82$
Step-by-step explanation:
The prices are
7.58$, 16$, 18.24$.
To get the total of all what Lucy bought, You add the prices altogether.
That is,
18.24$
+16.00$
+07.58$
41.82$
The total amount of what Lucy bought is 41.82$
jayden is 8 years old and his brother Andy is 7 years younger when Jayden is 20 years old how old will Andy be?
Answers
Answer:13
Step-by-step explanation Jayden is 8 Andy has to be 1. Jayden is 20 Andy is 7 years younger so the answer would be 13
Malik read that the land area of Alaska is about 5.7x10
Answers
Answer:
the answer is 60
Step-by-step explanation:
first you need to round 5.7 to the nearest whole number
6
after that multiply by 10 and you've done it
60
Because if u do 5x10 =50 and then the 7 would just be rounded up to 60
Which statement is represented by the equation below?
15 × 5 = 75
Select one:
The number 15 is 5 less than 75.
The number 15 is 5 times as many as 75.
The number 75 is 15 more than 5.
The number 75 is 5 times as many as 15.
Answers
Answer:
D
Step-by-step explanation:
if 15*5 is 75, than 75 is 5 times bigger than 15
The equation 15 × 5 = 75 represented the statement The number 75 is 5 times as many as 15, so option D is correct.
What is the equation?The equals sign is used in equations to indicate the equality of two expressions in a formula. It is a mathematical statement that says, "this is equivalent to that," in other words. There appears to be an equal sign in the middle, a mathematical expression on the right, and a mathematical expression on the left.
Given:
15 × 5 = 75
Assume the number is x = 5,
Here, you can see that x is 15 times to equal 75,
So, the above statement can be written as the number 75 is 5 times 15.
To know more about equation:
https://brainly.com/question/12788590
#SPJ2
Pls help I need help
Answers
Answer:
10x + 2
Step-by-step explanation:
lim f(x + h) - f(x) / h = f'(x) = (5x² + 2x)' = 10x + 2
h→0
Find the slope for the following pair of points:
(-14,3) and (-3, 0)
Answers
Answer:
slope = - [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 14, 3 ) and (x₂, y₂ ) = (- 3, 0 )
m = [tex]\frac{0-3}{-3-(-14)}[/tex] = [tex]\frac{-3}{-3+14}[/tex] = - [tex]\frac{3}{11}[/tex]
Answer:
The slope is M= -3/11 (M= Negetive three over eleven)
Step-by-step explanation:
solve trigonometric function
sin∅ + cos∅ × cot∅
Answers
Answer:
[tex]\csc(\theta)[/tex]
Step-by-step explanation:
[tex]\cot(\theta)=\dfrac{1}{\tan(\theta)}=\dfrac{\cos(\theta)}{\sin(\theta)}[/tex]
[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]
[tex]\implies \sin(\theta)+\cos(\theta)\times\cot(\theta)=\sin(\theta)+\cos(\theta)\times\dfrac{\cos(\theta)}{\sin(\theta)}[/tex]
[tex]=\sin(\theta)+\dfrac{\cos^2(\theta)}{\sin(\theta)}[/tex]
[tex]=\dfrac{\sin^2(\theta)}{\sin(\theta)}+\dfrac{\cos^2(\theta)}{\sin(\theta)}[/tex]
[tex]=\dfrac{\sin^2(\theta)+\cos^2(\theta)}{\sin(\theta)}[/tex]
[tex]=\dfrac{1}{\sin(\theta)}[/tex]
[tex]=\csc(\theta)[/tex]
X⁴+Y⁴= 641
X+Y= 7
Find the value of X and Y
Answers
Y= 2
5^4 + 2^4 = 642
5 + 2 = 7
y=10x+5 in function table
Answers
Answer:
y=5+10x
Add 10x to both sides of the equation.
SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME
Answers
Answer:
Step-by-step explanation:
f(x) = x⁴ - 8x² + 16
f'(x) = 4x³ - 16x = 4(x³ - 4x) = 4x(x² - 4) = 4x(x - 2)(x + 2)
f'(x) = 0, x = 2, -2
f"(x) = 4(3x² - 4)
f''(0) = -16 < 0, f""(2) = f''(-2) 3(12 - 4) > 0
so f(2) and f(-2) are minimum values
f(0) is maximum value.
f(0) = 16, f(2) = f(-2) = 2⁴ - 8*2² + 16 = 0
Maximum = 16, minimum value = 0
-∞ < x < -2, f'(x) < 0
-2 < x < 0, f'(x) > 0
0 < x < 2, f'(x) < 0
2 < x < ∞, f(x) > 0
increase: (-2, 0) and (2, ∞)
decrease: (-∞, -2) and (0, 2)
The USF Student Government has seven elected student representatives. Each student representative is equally likely to serve in any of the positions. What is the probability of randomly selecting a President and a vice president?
A. 0.024
B. 0.33
C. 0.033
D. 0.002
Answers
Answer:
i don't know honestly I just want my free answers man
Your friend claims that any two arcs with the same measure are similar. Your cousin claims that any two arcs with the same measure are congruent. Who is correct?
Answers
Answer:
The same measure of what? The angle of the arc or the length? If it is the same angle, then it is similar. If it is the same length and angle then it is congruent.
Step-by-step explanation:
Tomás found the area of a rectangle to be 1/6 square inch. Which could be the sidelengths of the rectangle?
A) 1/4 inch and 2/3 inch
B) 1/3 inch and 1/3 inch
C) 1/6 inch and 1/6 inch
D) 1/2 inch and 1/12 inch
Answers
Explanation:
area = length*width
area = (1/4)*(2/3)
area = (1*2)/(4*3)
area = 2/12
area = 1/6 of a square inch
This confirms that choice A is a correct set of dimensions to lead to an area of 1/6 of a square inch.
Choice B leads to (1/3)*(1/3) = 1/9 which means we can rule it out.
Choice C leads to 1/36 and choice D leads to 1/24.
‼️WILL GIVE BRAINLIEST
(Please answer all questions!)
ΔABC is translated 4 units to the left and 8 units up. Answer the questions to find the coordinates of A after the translation.
1. Give the rule for translating a point 4 units left and 8 units up. (2 points)
2. After the translation, where is A located? (2 points)
Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection.
3. Give the rule for reflecting a point over the y-axis. (2 points)
4. What are the coordinates of A after the reflection? (2 points)
5. Is the final figure congruent to the original figure? How do you know? (2 points)
Answers
Answer:
1) (x-4 , y+8)
2) (3,13)
3) (x,y) -> (-x,y)
4) (-7,5) This after reflection of original triangle
5) Yes, reflections don't change size, only position
Step-by-step explanation:
Answer: i put this here so you can mark the other person brainlest
Step-by-step explanation:
How do I solve this step by step?
Answers
Answer:
larger #=32
smaller #= 26
Step-by-step explanation:
We can solve this by using x for the larger number.
larger #= x
smaller #= x-6
x+x-6=58
2x-6=58
2x=64
x=32
The larger number is 32. To find the smaller # you simply substitute the variable x-6 which is now 32-6 which is 26.
Hope this helps!
Answer:
smaller number = 26
larger number = 32
Step-by-step explanation:
x = smaller number
y= larger number =x+6
so
x+y=58
x+6+x= 2x+6=x58
2x=58-6=52
x=522= 26
y=x+6=26+6 = 32
checking
x+y=58
26+32= 58
charlie wakes up in the night and looks at his 12-hours digital watch. The time he sees can be read as three-digit number. He remarks:' the digits add to six and , if you divide the number by six, the answer is a prime.' what time could it be ?
Answers
Answer:
mwuahhh live u
Step-by-step explanation:
I don't think that the pets have been able and have been in a situation like that since the first day when they were
dose anyone know adding fractions with unlike denominators meaning? I need help! anything will help, have nice day/night!
Answers
Answer:
Yes, I can help. Do you have any specific problems, or do you need an overview?
Step-by-step explanation:
Find the mean, median, mode, and for this set of numbers:
20, 6, 18, 15, 18, 15, 6
Answers
Answer:
mean: 14
median: 15
mode: 6, 15, 18
Step-by-step explanation:
For the mean, you add up all the numbers and divide by the number of numbers there are. There are 7 numbers here, so add and divide by 7.
For the median, you line the numbers up from least to greatest.
6, 6, 15, 15, 18, 18, 20
and find the middle number, which is 15.
For the mode, you have to find the number that repeats the most. For this set of numbers, it's 15, 18, and 6. Hope that helps!
Answer:
Mean = 14
Median = 15
Mode = 6, 18, 15
Step-by-step explanation:
I really hope this helps you. I worked these out however I looked up and did research. I checked out the website too. Check out (calculator soup)
It gives you the answers and explains all the steps.
Susan received grades of 78,93, 82 and 76 on four math exams . what is the lowest grade she can receive on her next math exam and have an average of a lease 85 on the five exams?
Answers
=========================================================
Explanation:
x = score on the fifth exam
The set {78,93,82,76,x} sums to 78+93+82+76+x = 329+x
Divide this over 5 since we have five total scores
(329+x)/5
That fraction represents the final average grade
Susan wants this average to be at least 85
[tex]\text{average} \ge 85\\\\\frac{329+x}{5} \ge 85\\\\329+x \ge 5*85\\\\329+x \ge 425\\\\x \ge 425-329\\\\x \ge 96\\\\[/tex]
Therefore, Susan must get a 96 or higher on the next exam if she wants to aim for the average to be 85 or larger.
In other words, the lowest grade she can get is a 96
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
A rational number that doesn't go on forever. Like Pi, that is not a rational number. But, 2.3 would be a rational number.
72/100 = .72 which is a rational number
Like I said before Pi goes on forever so it is NOT a rational number.
1 1/3. One is a rational number but 1/3 is o.3 with the 3 repeating forever. So it WOuld NOT be a rational number.
8/526 has numbers that go on forever so it would NOT be a rational number.
0.212212221 goes on forever. The three dots (...) signal that the decimal goes on. SO it would NOT be a rational number.
5/9= 0.555555555555555555555... the 5 goes on forever making it NOT a rational number.
Johanna budgets $1,471 each month for fixed expenses. What percent of her net monthly income is that if she nets $2,611 semimonthly? Make answer a percent then round to a whole percentage. Do not put the % sign in blank as it already knows it is in percentage form.
Answers
28%
Step-by-step explanation:
How to calculate the percentage
From the information given, Johanna budgets $1,471 each month for fixed expenses his net 2,611 semi monthly.
The percentage will be;
= 1,471/(2,611 × 2) × 100
= 1,471/5222 × 100
= 28.1692837993
= 28%
[RevyBreeze]
there are 36 green, 22 white,30 purple, and 14 blue gumballs in the gumball machine. what is the probability of getting a white gumball
Answers
probability of getting a white gumball
= 22/102
if y value decreases each time a x value increases by 1 ,the slope of the Line is___?
Answers
Answer:
In this case the slope of the line would be negative.
The upper-left coordinates on a rectangle are (-1,4), and the upper-right coordinates are (3,4). The rectangle has a perimeter of 24 units.
Answers
Answer:
The area would be 32
Step-by-step explanation:
Let's call the side lengths a and b, so then therefore a + b = 12
after this, we know that the length of a is 4, from the distance formula, and so the length of b is 8, so the area is 4*8 which is 32
If A and B are events with P(A)=0.7, P(A OR B)=0.77, and P(A AND B)=0.13, find P(B).
Answers
Answer:
P(B) = 0.20
Step-by-step explanation:
For these events, which are not independent or mutually exclusive, the relation between the various probabilities is ...
P(A or B) = P(A) +P(B) -P(A and B)
Solving for P(B), we find ...
P(B) = P(A or B) +P(A and B) -P(A)
P(B) = 0.77 +0.13 -0.7 = 0.20
The probability of B is 0.20.
__
Additional comment
The formula applies to independent and mutually exclusive events, as well. For independent events, P(A and B) = P(A)·P(B). For mutually exclusive events, P(A and B) = 0.
can you help me with this question
Answers
Answer:
1. 8.6
2. 8.4
4. 206.3
Step-by-step explanation:
