Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the system by substitution.
⎧
⎪
⎨
⎪
⎩
−
x
−
y
−
z
=
−
8
−
4
x
+
4
y
+
5
z
=
7
2
x
+
2
z
=
4
Answer:
5 is the answer
Step-by-step explanation:
because i said it was
Simultaneous equations can be solved by substitution, elimination, graphs and by matrices.
The values of x, y and z are:
[tex]\mathbf{x =3}[/tex].[tex]\mathbf{y = 6}[/tex].[tex]\mathbf{z = -1}[/tex]The equations are given as:
[tex]\mathbf{-x - y -z = -8}[/tex]
[tex]\mathbf{-4x + 4y +5z = 7}[/tex]
[tex]\mathbf{2x +2z = 4}[/tex]
Make z the subject in [tex]\mathbf{2x +2z = 4}[/tex]
[tex]\mathbf{2z = 4 - 2x}[/tex]
Divide by 2
[tex]\mathbf{z = 2 - x}[/tex]
Substitute [tex]\mathbf{z = 2 - x}[/tex] in [tex]\mathbf{-x - y -z = -8}[/tex]
[tex]\mathbf{-x - y -z = -8}[/tex]
[tex]\mathbf{-x - y - (2-x) = -8}[/tex]
[tex]\mathbf{-x - y - 2+x = -8}[/tex]
Cancel out common terms
[tex]\mathbf{- y - 2 = -8}[/tex]
Add 2 to both sides
[tex]\mathbf{- y = -8+2}[/tex]
[tex]\mathbf{- y = -6}[/tex]
Divide by -1
[tex]\mathbf{y = 6}[/tex]
Substitute [tex]\mathbf{z = 2 - x}\mathbf{\ and\ y = 6}[/tex] in [tex]\mathbf{-4x + 4y +5z = 7}[/tex]
[tex]\mathbf{-4x + 4 \times 6 + 5 \times (2 - x) = 7}[/tex]
[tex]\mathbf{-4x + 24 + 5 \times (2 - x) = 7}[/tex]
Open brackets
[tex]\mathbf{-4x + 24 + 10 - 5x = 7}[/tex]
Collect like terms
[tex]\mathbf{-4x - 5x =- 24 - 10 + 7}[/tex]
[tex]\mathbf{-9x =-27}[/tex]
Divide through by -9
[tex]\mathbf{x =3}[/tex]
Recall that: [tex]\mathbf{z = 2 - x}[/tex]
So, we have:
[tex]\mathbf{z = 2-3}[/tex]
[tex]\mathbf{z = -1}[/tex]
Hence, the results are:
[tex]\mathbf{x =3}[/tex]
[tex]\mathbf{y = 6}[/tex]
[tex]\mathbf{z = -1}[/tex]
Read more about simultaneous equations at:
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What is the right order of coefficients in the following equation?
4x + 6y = 60
A = 6 B = 4 C = 60
A = 60 B = 6 C = 4
A=4 B = 6 C = 60
Answer:
Last option?
Step-by-step explanation:
ax+by=c
4x+6y=60
a=4
b=6
c=60
Find the area of a triangle with vertices (1, 5), (1, -3), (3, -3).
Step-by-step explanation:
so sorry
don't know but please mark me as brainliest please
I need help with this question! I don’t understand this mess at all.
so line ab is parrallel and so is xy it is asking you to prove that angle 8 + angle 9 = 180
so since they are parrallel 8 is equal to 12 or you could do 9 is equal to 5 then you can see that they sit on the same straight line so angle9 + angle8 = 180 degrees
An electrician charges a base fee of $70 plus $50 for each hour of work. The minimum the electricin charges is $170. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work. Determine the domain and range of the relation in context and explain whether or not this represents a function. The domain values are , , , and . (Blanks 1 - 4)
The domain is the (student age/number of pets) . (Blank 5)
The range values are , , , and . (Blanks 6 - 9)
The range is the (student age/number of pets) . (Blank 10)
This relation (is / is not) a function.
what is the slope of the linear graph in simplest form? SHOW WORK PLEAS!!!
Answer:
The slope is -5
Step-by-step explanation:
For every 1 value moved in the x value, the line goes 5 values down. This means the slope is -5/1 or -5.
I hope that this helps! :)
solve for x 3(-x-3)+x-3=26
Answer:
[tex]\boxed {x = -19}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]3(-x - 3) + x - 3 = 26[/tex]
-Use Distributive Property:
[tex]3(-x - 3) + x - 3 = 26[/tex]
[tex]3(-x ) - 9 + x - 3 = 26[/tex]
-Combine both [tex]-9[/tex] and [tex]3[/tex]:
[tex]3(-x ) - 9 + x - 3 = 26[/tex]
[tex]3(-x ) - 12 + x = 26[/tex]
-Add [tex]12[/tex] to both sides:
[tex]3(-x ) - 12 + 12 + x = 26 + 12[/tex]
[tex]3(-x) + x = 38[/tex]
-Multiply the [tex]-1[/tex] by [tex]3[/tex]:
[tex]3(-x) + x = 38[/tex]
[tex]-3x + x = 38[/tex]
-Combine both the [tex]-3x[/tex] and [tex]x[/tex]:
[tex]-3x + x = 38[/tex]
[tex]-2x = 38[/tex]
-Divide both sides by [tex]-2[/tex]:
[tex]\frac{-2x}{-2} = \frac{38}{-2}[/tex]
[tex]\boxed {x = -19}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-19[/tex].
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
When we have a problem with parenthesis we must use distributive property:
[tex]3[/tex] × [tex]-x-3[/tex]The [tex]3[/tex] cancels out, leaving [tex]-x[/tex]* [tex]3(-x)-9+x-3=26[/tex]
Subtract [tex]3[/tex] from [tex]-9[/tex]:
[tex]3-(-9)=-12[/tex]* [tex]3(-x)-12+x=26[/tex]
Add [tex]12[/tex] to both sides:
Since [tex]-12[/tex] is negative we do the opposite of what we see, so it cancels out. [tex]-12+12=[/tex] Cancels out[tex]26+12=38[/tex]* [tex]3(-x)+x=38[/tex]
Multiply [tex]3[/tex] and [tex]-1[/tex]:
In this case we have [tex]2[/tex] x's, so we need to get rid of one. We do this by turning [tex](-x)[/tex] into [tex]-1[/tex]. Then we multiply them together: [tex]3[/tex] × [tex]-1=-3[/tex]* [tex]-3x+x=38[/tex]
Combine like terms:
[tex]-3x+x=-2x[/tex]* [tex]-2x=38[/tex]
Divide to get [tex]x[/tex] alone:
Divide by [tex]-2[/tex] on each side by rule of opposites: [tex]-2x[/tex] ÷ [tex]-2=x[/tex] [tex]38[/tex] ÷ [tex]-2=-19[/tex][tex]\boxed{x=-19}[/tex]
______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}[/tex]
Nikhil gets paid a 5 percent commission on every pair of shoes that he sells. He earned $1.00 on the last pair of shoes that he sold. The expression that can be used to represent x, the price of the shoes, is 0.05 x = 1 What was the price of the shoes?
A. $5.00
B. $10.00
C. $20.00
D. $25.00
Answer:
C
Step-by-step explanation:
it's c
have an nice day
Will the answer to this expression be POSITIVE or NEGATIVE?
- 1 - (-6.5)
Answer:
positive ans=5.5
hope it help u
3644-878 x 4 = a
a+54-21=b
a =
b =
the answer is supposed to be 132 at the most of a
for b it is 165
Answer:
a=132
b=165
Step-by-step explanation:
,
Which statements verify that the solution set to lx + 31 < 5 is -8
Substituting a value into the inequality from the solution set, such as -2, will create a true statement.
* Substituting a value into the inequality from the solution set, such as 1, will create a false statement.
* Substituting a value into the inequality not from the solution set, such as 4, will create a true statement.
Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.
* Substituting any value into the inequality will create a true statement.
Given:
Consider the inequality is [tex]|x+3|<5[/tex] and its solution set is [tex]-8<x<2[/tex].
To find:
The statement that verify the solution set.
Solution:
Any value into the inequality form the solution set [tex]-8<x<2[/tex], will create a true statement and any value into the inequality not form the solution set [tex]-8<x<2[/tex], will create a false statement.
To verify the solution set set, we need to put any value form solution set into the given inequality.
Substituting a value into the inequality from the solution set, such as -2, will create a true statement.
Therefore, the correct option is A.
Answer:
1 and 4
Step-by-step explanation:
got it right on edge
Find the point of intersection by graphing each of the following lines: x+y=4
x+2y=6
Answer:
Point of intersection is (6,0)
Step-by-step explanation:
PLEASEE HELPP IM SO STUPID IDK HOW TO SOLVE THIS ILL GIVE U POINTD AND BRAINLIEST PLEASEEEEEE
Maya needs 3/4 gallons of milk to make 12 smoothies. How much milk does she need to make 30 smoothies? Use at least two strategies to support your answer.
Answer:
3 gallons I am in math club believe it or not
2. Write 15% as a decimal. (1 point)
1.5
0.15
0 0.015
0.0015
Pls helppppppppppp!!!!!
13. Find the midpoint of the line segment with the endpoints located at (10, 10) and (1, -1).
A. (5.5, 4.5)
B. (4.5, 5.5)
C. (-8, -12)
D. (10, 0)
Answer:
I'm pretty sure that the answer will be A
3 of 10
Find two integers whose sum is 7 and product is 12
Answer:
3 and 4
Step-by-step explanation:
Bob and Lisa went to the movies. They each bought popcorn and one drink. Lisa had a $12 gift
certificate to put toward the cost, and Bob paid the rest, which came to $13. A movie ticket costs $7
and popcorn costs $4. How much is one drink?
A shipping company charges a $6.50 flat fee for a package, plus a fee based on the weight of the package. The
company charges $1.50 per pound, plus an additional $0.25 for every pound over 6 pounds.
Samuel plans on sending a package that is over 6 pounds. He has $26 to spend on shipping. What is the
maximum number of pounds that this package could be?
1. The cost of shipping 6 pounds is
2. The Maximum number of pounds is
Answer: The cost of shipping 6 pounds is $ 9.00
The maximum number of pounds he can ship is 74 pounds.
Step-by-step explanation:
To find the cost for the first 6 pounds, multiply $1.50 × 6 = $9.00
To find out how much more he can ship, subtract: $26 - $9 = $17
The number of pounds that can be shipped for $0.25 is 17 divided by .25
17/.25 = 68
The total maximum weight is 6 + 68 = 74 pounds.
Check: 6 pounds for $ 9.00 plus 68 pounds for $17.00
The money adds up to $26 and the weight adds up to 74 pounds.
Somebody please help me
Answer:
(13/24)
Step-by-step explanation:
let’s find a common number that we can get on the denominator
4 can be multiplied to get 48
6 can be multiplied to get 48
and 8 can also be multiplied to get 48
4(12) = 48
so for the equation (1/4) the numerator and denominator will both be multiplied by 12
(1/4)x(12/12) = (12/48)
6(8)= 48
(1/6)x(8/8) = (8/48)
8(6) = 48
(1/8)x(6/6) = (6/48)
now the fractions are
(12/48)+(8/48)+(6/48)
we can add them now because they have the same denominator and we get:
(26/48)
this can be simplified if we divide both the numerator and denominator by 2 and we get
(13/24)
Answer:
[tex]\frac{13}{24}[/tex]
Step-by-step explanation:
LCM(4, 6, 8) = 24
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{8}[/tex] = [tex]\frac{6+4+3}{24}[/tex] = [tex]\frac{13}{24}[/tex]
how in the world do you do this problem
(-1,0)
y+__= 4(x+2)
Can you please help me
Answer:
0.5
Step-by-step explanation:
The slope of the line is 1/2, so the answer is 0.5
Which only lists multiples of 18?
1,2,3,4,6,9,18
1,2,3,6,9, 18
18, 27, 36, 45
18, 36, 54, 72
Answer:
18, 36, 54, 72
Step-by-step explanation:
First list: Lists incorrect factorsSecond list: Lists correct factorsThird list: Lists incorrect multiplesFourth list: Lists correct multiplesI hope this helps!
Answer:
18, 36, 54, 72
Step-by-step explanation:
~-~
* 25. a. Write 3 3/4, as an improper fraction.
(10)
b. Write the reciprocal of answer a.
c. Find the product of answers a and b.
Answer:
3 in this case is equal to 12/4 (as that simplifies to get 3/1, which is simply 3). Adding this to 3/4, you get 15/4.
The reciprocal of 15/4 is 4/15.
The product of these two is 60/60, or 1
Step-by-step explanation:
log x + log(x+3) = 1
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
Taking antilogs, the equation becomes ...
x(x +3) = 10
x^2 +3x +2.25 = 12.25 . . . . add (3/2)² to complete the square
(x +1.5)² = 3.5² . . . . write as squares
x = -1.5 +3.5 . . . . . . take the positive square root*
x = 2
_____
* The negative square root gives an extraneous solution (x=-5).
__
I find that using a graphing calculator with the original equation avoids extraneous solutions. Here we transform the equation to the form f(x) = 0, so the x-intercept is the value of x we seek.
Im givin brainliest and 100 points to the first person who answers this
The equation I equals P times r t gives the amount of interest a bank account receives after a certain period. An individual invests $6,000 into an account that receives 7% interest. How much time has passed if the amount of interest is $3,360?
Answer:
8 years
Step-by-step explanation:
With Simple interest you can calculate the annual interest at 6000x.07=$420 annual interest
Take the Total Interest $3360/$420= 8 Years
Pls help!!Which point is located at (0, –7)?
Answer:
The point E is located at (0, -7)
Brainlest- Please please help me thank you so much in advance
Answer:
x= 94
Step-by-step explanation:
Answer:
d, or 63 is the answer
Which of the following is the strongest correlation?
-.932
0.6725
.8956
0-023
Answer:
8956hfjfjffjfjfjdsjsjsjsjdj
Answer:
-.932
Step-by-step explanation:
-.932 has a strong negative correlation.
What is (one-half, I StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Superscript 5?
Negative one-half + I StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Negative one-half minus I StartFraction StartRoot 3 EndRoot Over 2 EndFraction
One-half + I StartFraction StartRoot 3 EndRoot Over 2 EndFraction
One-half minus I StartFraction StartRoot 3 EndRoot Over 2 EndFraction
The answer to this problem is : (D). One-half minus I StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Meaning of fractions, surds and iFractions is an arithemetic expression that display a number having a numerator and denominator
surds are the square roots of numbers that cannot be expressed into a simplified number.
I which means bar 1, is the imaginary unit or imaginary number.
In conclusion, the answer to the problem is, One-half minus I StartFraction StartRoot 3 EndRoot Over 2 EndFraction
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Answer:
D. 1/2+i(sqrt3/2)
Step-by-step explanation:
edg 2023