Answer:
(13, -10, -7)
Step-by-step explanation:
Given
x+y+z=−4 .................. 1
2x+3y−2z=10 .................... 2
−x+2y−3z=−12 ................... 3
Reduce the equation to two equations, two unknowns:
Add eqn 1 and 3
y+2y+(z-3z) = -4-12
3y - 2z = -16 .......... 4
Also multiply eqn 3 by 2:
−2x+4y−6z=−24 ................... 5
Add 2 to 5:
3y+4y+ (-2z-6z) = 10-24
7y-8z = -14 ............... 6
Equate 4 and 6
3y - 2z = -16 .......... 4 * 4
7y-8z = -14 ............... 6 * 1
...............................................
12y - 8z = -64
7y-8z = -14
Subtract the resulting equations
12y-7y = -64+14
5y = -50
y = -50/5
y = -10
Substitute y = -10 into equation 4 to get z:
3y - 2z = -16
3(-10)-2z = -16
-30-2z = -16
-2z = -16+30
-2z = 14
z = 14/-2
z = -7
Substitute y = -10, z = -7 into eqn 1 to get x:
x+y+z = -4
x-10-7 = -4
x-17 = -4
x = -4+17
x = 13
Hence (x, y, z) is (13, -10, -7)
please tell me the answer
Answer:
so so so so srry i cant see that pic
Step-by-step explanation:
if angle 4 equals 50 degrees find the measure of angle 5 will mark brainiest
Answer:
∠5 = 50°Step-by-step explanation:
its alternate internal angles:
∠4 ≅ ∠5 (angle 4 is congruent or equal to alternate internal angle)
therefore,
∠5 = 50°
The measure of angle 5 should be considered as the 50 degrees when angle 4 should be equivalent to 50 degrees.
What is alternate internal angles?Alternate interior angles should be created via intersecting the 2 parallel lines in a transversal way. It should be located that lies between the two parallel lines.
Since the given diagram shows the alternate internal angles
Since angle 4 is 50
So angle 4 should be congruent or equivalent to alternate internal angle)
So angle 5 should be 50 degrees.
learn more about an angle here: https://brainly.com/question/21103473
A recipe calls for 18 ounces of cream cheese with 15 ounces of sugar." How many ounces of cream cheese are there per ounce of sugar?
PLEASE HELP
Answer:
1.2
Step-by-step explanation:
Just divide
Answer:
1.2
Step-by-step explanation:
Divide 18 by 15 and get the answer.
Find constants a , b, and c such that the function
y = ax2 + bx + c satisfies the differential equation y′′ + y′ − 2y = 4x2.
Answer: a = -2, b = -2, c = 1.
Step-by-step explanation:
We know that:
y = a*x^2 + b*x + c.
Then:
y' = 2*a*x + b
y'' = 2*a.
Then we can write the equation:
y′′ + y′ − 2y = 4x^2.
as:
2*a + 2*a*x + b - 2*(a*x^2 + b*x + c) = 4*x^2
To solve this, the first step is moving all the terms to the same side:
2*a + 2*a*x + b - 2*a*x^2 - 2*b*x - 2*c - 4*x^2 = 0
Now let's group terms with the same power of x.
(-4 - 2*a)*x^2 + (-2*b + 2*a)*x + (-2c + b) = 0
Now, this must be zero for all the values of x, then the parenthesis must be equal to zero:
-4 - 2*a = 0
-2*b + 2*a = 0
-2*c + b = 0
From the first equation:
-4 - 2*a = 0
-4 = 2*a
-4/2 = a
a = -2
And from the second equation:
-2*b + 2*a = 0
2*a = 2*b
a = b
b = -2.
From the third equation we have:
-2c + b = 0
-2c = b
c = b/-2 = -2/-2 = 1.
c = 1
Then our equation is:
y = -2*x^2 - 2*x + 1.
create a equation that the answer is 64
Answer:
8x8
Step-by-step explanation:
Answer:
I have multiple.
Step-by-step explanation:
16x4=64
8x8=64
4x16=64
What is the value of x? Round to the nearest tenths place....
Answer:
x = 12.64911064
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + b^2 = 14^2
36 + b^2 = 196
To decorate her bedroom, Jocelinde spent $54.11 on new bedding, $51.96 on paint, and 67.52 on accessories. About how much did she spend to decorate her bedroom?
Answer:
$173.59
Step-by-step explanation:
54.11+51.96+67.52=173.59
Answer:
$170!
Step-by-step explanation:
Add: $54.11 + 51.96= 106.07
Then: 106.07 + 67.52 = $173
Round it!= 173 rounded to the nearest tenth!
Answer: $170
Hope this helps!! -3-ll
At a sale this week, a suit is being sold for $306 . This is a 15% discount from the original price.
What is the original price?
Answer:
260.1
Step-by-step explanation:15% of 306=45.9
306-45.9=260.1
Answer:
351.9
Step-by-step explanation:
x/306=15/100. then I cross multiplied. And when I do I get 100x/100=4590/100.
I cross out the 100/100 and I leave with x, then I divide 4590 with 100 and get 45.9. So x=45.9.
Then I added the price it was sold..=306+45.9=351.9
Rewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are perpendicular. x = 9 y = -1 Are the lines perpendicular?
Answer:
[tex]x = 9[/tex] and [tex]y = -1[/tex] are perpendicular to each other.
Step-by-step explanation:
From Analytical Geometry we know that horizontal lines are of the form:
[tex]y = a[/tex], [tex]\forall \,a\in\mathbb{R}[/tex] (Eq. 1)
Where:
[tex]y[/tex] - Dependent variable, dimensionless.
Which means that for all value of [tex]x[/tex] (independent variable) has [tex]a[/tex] as their image. If we write this equation in slope-intercept form, we get that:
[tex]y = 0\cdot x + a[/tex] (Eq. 1b)
Where slope is the ratio of the change in dependent variable to the change in independent variable.
Whereas vertical lines have the following one:
[tex]x = b[/tex], [tex]\forall \,b\in\mathbb{R}[/tex] (Eq. 2)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
Which means that for all value of [tex]y[/tex] (dependent variable) has [tex]b[/tex] as their image.
If we write this equation in slope-intercept form, we get that:
[tex]x = 0\cdot y + a[/tex] (Eq. 2b)
Where slope is the ratio of the change in independent variable to the change in independent variable.
In addition, we must remember that two lines perpendicular to each other observe the following relation:
[tex]m_{A} = -\frac{1}{m_{B}}[/tex] (Eq. 3)
Where [tex]m_{A}[/tex] and [tex]m_{B}[/tex] are the slopes of each line. It is quite evident that if [tex]m_{A} = 0[/tex], corresponding to a horizontal line, then [tex]m_{B}[/tex] becomes undefined, corresponding to a vertical line.
In consequence, we come to the conclusion that [tex]x = 9[/tex] and [tex]y = -1[/tex] are perpendicular to each other.
Can someone help me solve this?
Answer:
2313
Step-by-step explanation:
In 1980, the number of high school dropouts in a country was 5217 thousand. By 2008, this number had decreased to 3120 thousand. Find and interpret the average rate of change
per year in the number of high school dropouts.
Answer:
74893 students per year
Step-by-step explanation:
The Average rate of change is calculated as
= Difference in number of students / Difference in years
= 3120 thousand - 5217 thousands/ 2008 - 1980
= (3120000 - 5217000)/(2008 - 1980)
= -2097000/28
= -74892.857143 per year
Therefore, the average rate of change
per year in the number of high school dropouts is approximately 74893 students per year
1.) 4x+2y-z=21
2.) -x-2y+2z=13
3.) 3x-2y+5z=70
Answer:
Step by Step Solution:
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): Dot was discarded near "2.-".
(2): "133.3" was replaced by "(1333/10)".
Too Many Equal Signs
Step-by-step explanation:
Help me out fast on this question.
The cost of parking a motor home in a state park includes a one time fee of $180, plus a daily rate of $55 per day. Anthony prepaid for his stay and paid the state park commission a fee of $565. This paid for the one time fee as well as for a number of days. How many days of parking did Anthony pay for? Group of answer choices
Answer:
Anthony paid for 7 days of parking.
Step-by-step explanation:
From the information given, the cost of parking a motor home in a state park would be equal to the one time fee plus the result of multiplying the daily rate for the number of days:
c=180+55x, where c is the cost of parking the motor home and x is the number of days.
Now, you can replace c with 565 that is the amount Anthony prepaid and you can solve for x to be able to find the number of days he paid for:
565=180+55x
565-180=55x
385=55x
x=385/55
x=7
According to this, Anthony paid for 7 days of parking.
If you pls help lol I only have 52 mins left
Step-by-step explanation:
[tex]2y + 106 = 180[/tex]
[tex]y = 106 \div 2 = 53[/tex]
[tex]y = 53[/tex]
[tex]4z + 16 = 180[/tex]
[tex]4z = 180 - 16[/tex]
[tex]z = 164 \div 4 = 41[/tex]
and the answer for x is 106
Why do we use coordinate planes to do
transformations and dilations?
Answer: a coordinate plane is used in order to track the location of the object.
Translations are congruence transformations that move an object, without changing its size or shape
Dilations are transformations that generate an enlargement
Step-by-step explanation:
how to find the area figure of square inches
Which area of this sound wave represents a compression?
A)A
B)B
C)C
D)D
Answer:
c
Step-by-step explanation:
on usa test prep
HELPPPPPPPPPPPPPPPPPPP
Answer:
15
Step-by-step explanation:
Mike has at least 250 in his savings account.Which inequality represents this situation
Jill has not been able to maintain the $1,000 minimum balance required to avoid fees on her checking account. She wants to switch to a different account with a fee of $0.20 per check and a $12.50 monthly maintenance fee. Jill wants to estimate the fees for her new account. Below is a summary of the checks she has written from May to August. What is the mean number of checks Jill wrote per month during the last four months? Based on the mean, estimate how much Jill expects to pay in per-check fees each month after she switches to the new account. Estimate the total monthly fees Jill will pay each month for the new checking account.
Step-by-step explanation:
Kindly find attached a summary of the checks she has written from May to August.
A. What is the mean number of checks Jill wrote per month during the last four months
mean= (14+19+23+24)/4
mean= 80/4
mean= 20 checks
B. Based on the mean, estimate how much Jill expects to pay in per-check fees each month after she switches to the new account.
the expression for the total is given as
y=12.50+0.2x
y=12.50+0.2(20)
y=12.50+4
y=16.5
=$16.5
C. Estimate the total monthly fees Jill will pay each month for the new checking account.
May= 12.50+0.2(14)
May=12.5+2.8= 15.3
June= 12.50+0.2(19)
June=12.5+3.8= 16.3
July= 12.50+0.2(23)
July=12.5+4.6= 17.1
August= 12.50+0.2(24)
August=12.5+4.8= 17.3
total will be = 15.3+16.3+17.1+17.3= $66
A:20
B:$4.00
C:$16.50
A: 14+19+23+24/4 = 20
B: 20/.2 = 4
C: 12.50+4= 16.50
pls help <3 thank you sm ;)
Find the measure of the missing angle
Answer:
M1=108° M2=72°
Step-by-step explanation:
M1 and the original 108° angle are equal, and to calculate M2, which is on the same straight line as the original 108°, we must remember that all angles on a straight line add up to 180°. So, 180-108=72, making M2 72°
Find two numbers who’s product is 132 and whose sum is 23
Answer : The two numbers are 11 and 12.
The lines y = 3x + 4 and y = 3x - 17 are perpendicular
Answer: No
Step-by-step explanation: Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).
A bookshelf at a bookstore is 3 feet 9 inches wide. There are 18 copies of the same book on the shelf, which fit the shelf exactly. What is the width of 1 of the books?
Answer:
5 / 2 inches OR 2.5 in
Step-by-step explanation:
3 ft 9 in = 45 inches
45in/18 books
5 in / 2 book
is -4 greater,less than or equal to +4 ?
In 1998, Susie Maroney set a record for the longest ocean swim without flippers. She swam 122 miles from Mexico to Cuba. Use a conversion factor to find the distance in feet. 1mile=5280 feet
Answer:
it's 644160 u need to times it if she swam 122 miles and each mile is 5280 and u answer is 644160
Can anyone tell me if u pass the ela state exam but u didn't pass the math state exam can u still go to 9th grade cuz im in 8th please answer and my grades are always good so does it help? and my classwork etc is always around 80-100 is it good
Q. Alex is managing an assembly line
creating precision drill bits. The number of
drill bits created is in the chart above. What
is the mode number of drill bits created?
bits
Answer:
i put 65 but that was not the correct answer
Step-by-step explanation:
Answer: 20
Step-by-step explanation: