Solve the following system.
y + 4z = -14
x + 3z = -8
2x-3y=8
Please actually help and don’t just answer with “idk” for points
Answers
Answer:
[tex]y=-2,\:\\x=1,\:\\z=-3[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}y+4z=-14\\ x+3z=-8\\ 2x-3y=8\end{bmatrix}\\\\Isolate\:y\:for\:y+4z =-14\: : \:y=-14-4z\\\\\mathrm{Subsititute\:}y=-14-4z\\\\\begin{bmatrix}x+3z=-8\\ 2x-3\left(-14-4z\right)=8\end{bmatrix}\\\\Isolate\:x\:for\:x+3z =-8\: :\:x =-8-3z\\\mathrm{Subsititute\:}x=-8-3z\\\\\begin{bmatrix}2\left(-8-3z\right)-3\left(-14-4z\right)=8\end{bmatrix}\\\\Simplify\\\\\begin{bmatrix}6z+26=8\end{bmatrix}\\\\Isolate\:z\:for 6z+26=8 \: ;\:z =-3\\\\\mathrm{For\:}x=-8-3z\\\\[/tex]
[tex]\mathrm{Subsititute\:}z=-3\\\\x=-8-3\left(-3\right)\\\\-8-3\left(-3\right)=1\\\\x=1\\\\\mathrm{For\:}y=-14-4z\\\\\mathrm{Subsititute\:}x=1,\:z=-3\\\\y=-14-4\left(-3\right)\\\\-14-4\left(-3\right)=-2\\\\y=-2\\\\\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\\\\y=-2,\:x=1,\:z=-3[/tex]
Related Questions
The IQ scores for students at a certain school follow a bell-shaped distribution with mean 102 and standard deviation
10. Kyla, a student at this school, had a standardized IQ score of 1.2. What was her actual IQ score?
104
107
111
114
120
Answers
Answer:
104
Step-by-step explanation:
If the standard deviation is 10, multiply it by .2 to get 2. Add 102 and you get 104.
What is the slope of the line graphed below
Answers
Answer:
[tex]\frac{3}{4}[/tex] or 0.75
Step-by-step explanation:
I apologize if I'm incorrect
-8 + k = -17
What is k to make this equation true
Answers
Answer: The answer is k= -9
Step-by-step explanation:
this is how you solve it :
-8+k=-17
so then you add 8 to both sides so it would look like
-8+k+8=-17+8
then you simplify
after you simplify it would equal k=-9
THATS ALL :) have a good day
also could you please make me brainleast ???
5. A triangle has side lengths 3x2 + 5x –1, 6x2 + 5, -7x +1.
Which of the following expressions represents the perimeter of the triangle?
A. 9x2 + 2x + 5
B. 9x2 – 2x + 5
c. 9x2 + 2x + 4-1
D. 9x2 – 5x + 7x + 5
Answers
Answer:
option B. 9x² – 2x + 5x
Step by step explanation:
The perimeter of a triangle is the sum of all its three sides.
3x²+5x–1+6x²+5–7x+1
= 9x²–2x+5
a+1=1 find the value of b^a
Answers
Answer:
1
Step-by-step explanation:
a+1=1
a=1-1
a=0
b^a which means:
b^0
whenever power is 0 answer is always one
so value of b^a is 1
What is the slope of the line that passes through point (-8,3) and (-8,2)?
Answers
Answer:
[tex]\frac{-1}{0}[/tex] which is -1
Step-by-step explanation:
The slope formula is y2-y1 over x2-x1
So just plug it in. 2 - 3 = -1
-8 - -8 = 0
So the slope is -1 over 0
EMERGENCY! Please give me the correct answer!
Answers
Answer:
The answer is yes!
Step-by-step explanation:
I'm 100% sure, put it into a calculator and it'll give you 1 as the answer.
Answer:
Yes
Step-by-step explanation:
The answer is yes because:
1) As you can see, in standard form the pattern is x * 3 = y
2) If x = 1 it would match the pattern because the next number will be 1 x 3 which is 3, and then the the third number would be 3 x 3 = 9, and then the fourth number would be 9 x 3 = 27 and so on.
Hope this helps! :D
which angle is this??
Answers
Answer:
acute
Step-by-step explanation:
the angles are all less than 90°
they are not equal so not equialteral
has to be acute
Combine like terms.
-m + 4m - 5m - (-9)
o not use any spaces in your answe
Answers
Because u add like terms and distribute the negative into the parenthesis
Answer:
9 - 2m
Step-by-step explanation:
-m + 4m - 5m - (-9)
-m + 4m = 3m
3m - 5m - (-9)
3m - 5m = - 2m
-2m - (-9)
-(-9) = 9
9 - 2m
Dude help me pleaseeeeeee
Answers
Answer: -25/42
Step-by-step explanation: For multiplying fractions, it’s multiplying numerator by numerator and denominator by denominator. 5 x 5 = 25 and 6 x 7 = 42 and then add the - since it’s negative. It can not simplify
Find the missing side. Round to the nearest tenth.
Answers
Step-by-step explanation:
1. have info for adjacent side and hypotenuse
so use; cosine
cos32=x/19
x=cos32×19
=15.9
2. have info for opposite side and hypotenuse
so use; sine
sin63=16/x
x=16/sin63
=95.6
3. have info for opposite side and adjacent side
so use; tangent
tan26=17/x
x=17/tan26
=14.4
4. have info for opposite side and adjacent side
so use tangent
tan42= x/13
x=tan42×13
x=29.8
The population of a town in the year 1990 was 15600
The population is now 11420
Calculate the percentage decrease in the population
Answers
Answer: 21.608040201
Step-by-step explanation:
Chris and his crew can build 7 stone fireplaces in 3 days. At this rate,how many fireplaces can Chris and his crew build in 11 days? Round your answer appropriately.
Answers
Answer:
o
Step-by-step explanation:
The entry ticket to a local football game costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056. How many adults and how many children were there in this group? Drag the correct value to the appropriate box.
Answers
Step-by-step explanation:
let x be the number of adults and y number of childrens
so we have. x+y=100 people
and. 12*x+8*y=1056 dollars
x=100-y
replace 100-y to the second equation
12*(100-y)+8y=1056
1200-12y+8y=1056
1200-4y=1055
1200-1056=4y
144=4y
y=144/4=36
so x=100-y=100-36=64
so in this group were 64 adults and 36 childrens
In this group were 64 adults and 36 children.
What is system of equation ?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
let x be the number of adults and y number of children
so we have. x + y = 100 people
and. 12 × x + 8 × y = 1056 dollars
x=100 - y
replace 100 - y to the second equation
12 × (100 - y) + 8y = 1056
1200 - 12y + 8y = 1056
1200 - 4y = 1055
1200 - 1056 = 4y
144 = 4y
y = 144/4 = 36
so x = 100 - y = 100 - 36 = 64
Hence, in this group were 64 adults and 36 children.
To learn more about system of equations from here
https://brainly.com/question/12895249
#SPJ2
What is the product
Answers
Answer:
5p-6q or 5p+ (-6q)
If you are looking to create one equation, then combine like terms.
2p+3p and -5q + (-q or 1)
5p and -6q
5p-6q or 5p+ (-6q)
I need to write an equation for the following, please help!!
slope = 2; y-intercept is (0,5)
Answers
Answer:
Could you please show me a graph so I can answer more clearly? I'll follow up on this question if it helps.
Step-by-step explanation:
95 increased by 10%. SIMPLIFIED ANSWERS.
Answers
Answer:
104.5
Step-by-step explanation:
10% of 95 is 9.5 and if you add that to the original value you get the answer
Answer:
95, percentage increased by 10% (percent) of its value = 104.5
HELP. Type the correct exponet 1/10,00= 10(?)
Answers
Answer:
100
Step-by-step explanation:
i will give you a picture
Answers
Answer:
give picture, waiting for it
Answer:
of what lol
Step-by-step explanation:
1. Which Statement is NOT true? *
7
A 0.037 >
2000
7
B 3.2 x 10-3
2000
C 3.2% > 3.2 x 10-3
D 3.2% > 0.037
ОА.
B.
OD
Answers
What is the following answer the equation 275 4/5 + 20.2
and what is 275 4/5 - 20.2
Answers
Answer: 275 + [tex]\frac{4}{5}[/tex] +20.2 = 296
275 + [tex]\frac{4}{5}[/tex] - 20. = 255.
Step-by-step explanation:
275 + [tex]\frac{4}{5}[/tex] + 20.2 (
= 275 + 0.8 + 20.2
= 275.8 + 20.2 = 296
275 + [tex]\frac{4}{5}[/tex] - 20.2
= 5 + 0.8 - 20.2 ( [tex]\frac{4}{5}[/tex] = 0.8)
= 275.8 - 20.2 = 255.
I hope this answer your
A light-year is the distance that light travels in a year and is equivalent to 946,100,000,000,000,000 cm.
Enter this distance in scientific notation.
In scientific notation, this distance is
?x10
Answers
Answer:
9.461 × 10^17
Step-by-step explanation:
946,100,000,000,000,000 is 9.461x10^17
Alg1 S1-3 USA OL FY21
Question: 1-15
Ifp and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false.
The product pq is irrational.
The product pt is irrational.
The quotient
is irrational
0 The product st is irrational.
The quotient is rational.
Previous
Pause
Answers
Answer:
The product st is irrational.
The product pt is irrational.
Step-by-step explanation:
Let p = 3/4 and q= 5/9
Now multiplying these two non zero rational numbers
3/4 (5/9)= 15/36 ( this is also a rational number)
An irrational number is one which cannot be expressed in the form of p/q where p and q are integers( in the form of a simple expression) like the rational number.
Now let the two irrational numbers s and t be √3 and √5
Now multiplying the two irrational numbers we get
st = √3 √5
st =√15 ( this is also an irrational number)
√15 cannot be expressed in the form of a simple fraction.
Now multiplying pt
3/4 * √5= 3√5/4 ( this is also irrational)
12.
The algebra tiles shown below model an equation.
symbol
Which equation best represents the model?
Answers
Examine the three graphs shown below.
Graph 1
Graph 2
Graph 3
Which graphs have same domain?
O A Graphs 1, 2 and 3
B. Graphs 2 and 3
OC. Graphs 1 and 2
D. Graphs 1 and 3
NEED THIS PLEASE :)
Answers
I think it's a
Step-by-step explanation:
it's been a while since I done this kind of work
PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!!
Answers
Answer:
can you provide more information
Step-by-step explanation:
Answer: M and I are both parallel
:)
What is the solution to this inequality?
X10
+7 > 10
A. X2 27
B. xs 83
C. xs 27
D. x2 83
Answers
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[tex] \frac{x}{9} + 7 \geqslant 10 \\ [/tex]
Subtract sides 7
[tex] \frac{x}{9} + 7 - 7 \geqslant 10 - 7 \\ [/tex]
[tex] \frac{x}{9} \geqslant 3 \\ [/tex]
Multiply sides by 9
[tex]9 \times \frac{x}{9} \geqslant 9 \times 3 \\ [/tex]
[tex]x \geqslant 27[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the correct answer is (( A )) .
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1. (02.01 MC) Celine has a bottle that contains 20% milk and the rest water. The bottle has 1 liter of water. Part A: Write an equation using one variable that can be used to find the total number of liters of milk and water in the bottle. Define the variable used in the equation. (5 points) Part B: How many liters of milk are present in the bottle? Show your work. (5 points) (10 points)
Answers
Answer:
A. Total number of liters = 1.25 liters
B. Milk = 0.25 liters
Step-by-step explanation:
Let
x = total number of liters ( milk + water )
Milk = 20% of x
= 0.2x
Water = 1 liter
Total number of liters = milk + water
x = 0.2x + 1
x - 0.2x = 1
0.8x = 1
Divide both sides by 0.8
x = 1 / 0.8
= 1.25
x = 1.25 liters
Total number of liters = 1.25 liters
B.
Liters of milk in the bottle = Total number of liters - liters of water
= 1.25 liters - 1 liter
= 0.25 liter
Milk = 0.25 liters
Review the table.
A 2-column table with 4 rows. Column 1 is labeled x with entries pi, StartFraction 7 pi Over 6 EndFraction, StartFraction 5 pi Over 4 EndFraction, StartFraction 4 pi Over 3 EndFraction. Column 2 is labeled y = sine (x) with entries 0, blank, blank, blank.
Which values, in order, will complete the table?
Answers
Answer:
I think that the answer is A.
Step-by-step explanation:
The values that complete the table are -1/2, -√2/2 and -√3/2
How to complete the table of values?The function is given as:
[tex]y = sin(x)[/tex]
From the table, we have:
sin(π) = 0
Next, we calculate the value of y for other values of x
When x = 7π/6, we have:
sin(7π/6) = -1/2
When x = 5π/4, we have:
sin(7π/6) = -√2/2
When x = 4π/3, we have:
sin(4π/3) = -√3/2
Hence, the values that complete the table are -1/2, -√2/2 and -√3/2
Read more about sine functions at:
https://brainly.com/question/9565966
#SPJ6
Helpppp meeeee
Find the value of earache missing variable