Solve the system using the elimination method. - Which one should I do first
3x-4y+z=-5
6x-4y+z=1
x+y+z=6
Answer:
first equation and second equation
Step-by-step explanation:
it is more easier because both of them have the same y
Answer:
Use equation (1) and equation(2) and eliminate 4y+z
Step-by-step explanation:
3x-4y+z=-5 ...(1)
6x-4y+z=1 ...(2)
x+y+z=6 ...(3)
First, you find the equation that you can use the elimination method on;
there are multiples of them.
However, I would use equation (1) and equation(2) and eliminate 4y+z :
3x-4y+z=-5
- 6x-4y+z=1
-3x=-6
x=2
As you can see, both the terms with y and z are eliminated in one step, exposing the variable x.
From here is just my advice:
There are multiple ways for you to answer this question. In math, the process may sometimes not matter if the answer was correct. Nevertheless, you should try finding one way that fits you or makes it easier to solve. I personally think that how I have been trying this helped me later when math got more complicated. (Also, it was fun for me to find another way that I was not taught of)
GOOD LUCK!! and I HOPE THIS HELPS YOU!!!!
What is the slope of a line that is perpendicular to the graph of y = 4/5x+9?
Answer:
m = -5/4
General Formulas and Concepts:
Algebra I
The slope of the perpendicular line is the negative reciprocal of the original slope.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope-Intercept Form (Original): y = 4/5x + 9
Step 2: Break Original Function
Slope m = 4/5
y-intercept b = 9
Step 3: Find slope of perpendicular line
Take the negative reciprocal.
Perpendicular Slope m = -5/4
Five cubic meters of copper has a mass of 44,800 kilograms. What is the density of copper?
Answer:
i thin it is 8960
Step-by-step explanation:
44800 divided by five = 8960
A man has $456.99 in his bank account. The man then writes a check for $45.99. How much money is in his account now?
Answer:
$411.00
Step-by-step explanation:
456.99-45.99
the pyramid shown has a rectangular base and faces that are isosceles triangles find the total surface area to the nearest tenth
Answer:
I think is C.
Step-by-step explanation:
I'm so sorry if wrong!
how would you solve p-11=-14
Answer:
Step-by-step explanation:
all you would need to do is add 11 to both sides, and then you would get your answer.
Simplify 10cm:30cm
Simplify 2cm:1m
Step-by-step explanation:
Simplest form=10/30=1/3
=1cm:3cm
Simplest form=2cm:1m
1m=100cm
2:100
2/100=1/50
1cm:50cm
Answer:
Simplest form=10/30=1/3
=1cm:3cm
Step-by-step explanation:
who good at math? , cuz i need help .
Answer:
what kind of math?
Step-by-step explanation:
Answer:
It depends your grade, but I might be able to help.
Step-by-step explanation:
What type of math?
Complete the statements about circle Z. A central angle, such as angle ____ of circle Z, is an
Answer:
A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides are radii of the circle.
Answer:
do you have a pic of the circle
Step-by-step explanation:
Write the following statement
as a conditional statement.
Stars have ten vertices.
If a figure is a star. then it has ten vertices
If figure has ten vertices. then it is a star.
A figure is a star. If and only if it has ten vertices
Star are figures with en vence:
Answer:
if a figure has ten vertices then it is a star
HELP!!!!!!!!!!!!!! I ONLY HAVE 5 MIN TO TURN THIS IN!!!!
Answer:
I think A but I might be wrong
umm i dont get none of this to be honest
The equation f equals 9/5 C + 32 relates temperature measured in degrees celsius C to degrees Fahrenheit f Determine whether there is a proportional relationship between C and F explain your reason
Given:
[tex]F=\dfrac{9}{5}C+32[/tex]
where, F is degree Fahrenheit and C is degree Celsius.
To find:
Whether there is a proportional relationship between C and F.
Solution:
We know that, proportional relations is defined as
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
So, the line of proportional relationship passes through (0,0) and the equation must be true for (0,0).
If there is a proportional relationship between C and F, then the equation must be true for (0,0).
Substituting F=0 and C=0 in the given equation, we get
[tex]0=\dfrac{9}{5}(0)+32[/tex]
[tex]0=0+32[/tex]
[tex]0=32[/tex]
This statement is false because [tex]0\neq 32[/tex].
It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.
Hence, there is not a proportional relationship between C and F.
Simplify the expression:
–3(9 − x) =
Answer:
Expand [tex]-3(9-x): -27 + 3x[/tex]
Step-by-step explanation:
[tex]-3(9-x)[/tex]
Apply the distributive law: [tex]a(b-c)=ab-ac[/tex]
[tex]a = -3, b=9, c=x[/tex]
[tex]=-3*9-(-3)x[/tex]
Apply minus - plus rules:
[tex]-(-a)=a[/tex]
[tex]= -3*9+3x[/tex]
Multiply the numbers: [tex]3 * 9 = 27[/tex]
[tex]=-27+3x[/tex]
Hope this helps! If so, may I get Brainliest and a Thanks?
Thank you, have a good one! =)
Write an equation in standard form of the line that passes through the given point and the given slope. (-9, -4); m = -1/3
First, we must determine b using slope-intercept form*, the given point, and the given slope.
[tex]-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b[/tex]
Second, we need to set up the equation of the line in slope-intercept form.
[tex]y = -\frac{1}{3}x - 1[/tex]
Third, we convert the above equation to STANDARD FORM**.
[tex]y = -\frac{1}{3}x - 1\\\\\frac{1}{3}x + y = -1[/tex]
We now have our equation: [tex]\frac{1}{3}x - y = -1[/tex]
*Slope-intercept form: y = mx + b
**Standard form: ax + by = c
The product of a number and -5 is at least 35. Write as an inequality.
Product hints at multiplication so -5n is AT LEAST meaning that it is at or greater than 35....
-5n ≥ 35
Answer:
-5x≥35
Step-by-step explanation:
The word "product" means to multiply so I know that -5 times a number x is at least 35. The phrase "at least" means greater than or equal to so I know its a ≥ sign.
Hope this helps you
Marco needs to buy some cat food. At the nearest store, 5 bags of cat food cost $18.75. How much would Marco spend on 3 bags of cat food?
Answer:
$11.25
Step-by-step explanation:
5 bags = $18.75
To find the amount for three bags, we need to find the price for each bag.
Divide 18.75 by 5.
18.75/5 = 3.75
So each bag is 3.75, and since we need to know the price for 3 bags, we need to multiply 3.75 by 3, which is 11.25.
What is the formula for the area of this triangle?
Answer:
A = h b/2
Step-by-step explanation:
Answer:
J =6,L=5,K=3
Step-by-step explanation:
this is kinda hard to do bur I'll try to do it.
PLEASE HELP ME WITH THESE QUESTIONS ASAP
Answer:
D.
Step-by-step explanation:
Answer:
the answer is d 64 because a rational number is a whole number not decimals.
Step-by-step explanation:
brainliest pls
What is the solution to this system of linear equations?
y − 4x = 7
2y + 4x = 2
A. (3, 1)
B. (1, 3)
C. (3, −1)
D. (−1, 3)
I WILL MARK AS BRAINLIEST IF CORRECT!
Answer:
[tex]x = - 1[/tex]
[tex]y = 3[/tex]
Step-by-step explanation:
[tex]y - 4x = 7(eqn \: 1)[/tex]
[tex]2y + 4x = 2(eqn \: 2)[/tex]
[tex]solving \: by \: eliminating \: one \: variable[/tex]
[tex](y - 4x = 7)[/tex]
[tex] + (2y + 4x = 2)[/tex]
[tex]3y = 9[/tex]
[tex]y = 3[/tex]
[tex]y - 4x = 7[/tex]
[tex]3 - 4x = 7[/tex]
[tex] - 4x = 7 - 3[/tex]
[tex] \frac{ - 4x}{ - 4} = \frac{4}{ - 4} [/tex]
[tex]x = - 1[/tex]
The solution to this system of linear equations will be (–1, 3). Then the correct option is D.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equations are given below.
y − 4x = 7 ...1
2y + 4x = 2 ...2
Add both equations, then we have
3y = 9
y = 3
Put y = 3 in equation 1, then we have
3 − 4x = 7
4x = –4
x = –1
The solution to this system of linear equations will be (–1, 3).
Then the correct option is D.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Find the y-intercept of a line that passes through the point (-5,-6) and has a slope of 2.
Answer:
The y intercept is 4
Step-by-step explanation:
Given:
-Given point: (-5,-6)
-Slope of 2
1) Put the equation into point-slope form y - y1 = m(x - x1)
With the given, we can plug it all in using this formula!
-y1 = -6
-x1 = -5
m = 2
(you would change these negative numbers into positives because the equation shows them being subtracted! remember that two negatives make one positive!)
y+6= 2(x+5)
2) Simplify
y+6= 2(x+5)
y+6=2x+10
y=2x+4
With y=2x+4, set x to 0 because the y intercept is where x is equal to 0 and you get 4!
Solve the following functions:
f(x) = 20x - 90 find f (x) = 10
Answer:
x=5
Step-by-step explanation:
If the x- intercept is 2 and the y- intercept is -5 and the slope is 1/3. Write in equation in slope intercept form and standard form.
Answer:
The equation in slope-intercept form is[tex]y=\frac{5}{2}x-5[/tex]
The equation in the standard form will be:[tex]\frac{5}{2}x-y=5[/tex]
Step-by-step explanation:
The x-intercept is obtained when we set the value y=0As the x-intercept is 2, therefore the point representing
the x-intercept will be: (2, 0)
The y-intercept is obtained when we set the value x=0As the y-intercept is -5, therefore the point representing
the y-intercept will be: (0, -5)
So we get the two points
(2, 0)
(0, -5)
Finding the slope between (2, 0) and (0, -5)
[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-5-0}{0-2}[/tex]
[tex]m=\frac{5}{2}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here m is the slope
substituting the values m = 5/2 and the point (2, 0)
[tex]y-0=\frac{5}{2}\left(x-2\right)[/tex]
so writing the equation in slope-intercept form
As we know that the slope-intercept form is
[tex]y=mx+b[/tex]
here
m = gradient or slop b = y-interceptso
[tex]y=\frac{5}{2}\left(x-2\right)[/tex]
[tex]y=\frac{5}{2}x-5[/tex]
Hence, the equation in slope-intercept form is
[tex]y=\frac{5}{2}x-5[/tex]
Writing the equation in the standard form form
As we know that the equation in the standard form is
[tex]Ax+By=C[/tex]
where x and y are variables and A, B and C are constants
As we already know the equation in slope-intercept form
[tex]y=\frac{5}{2}x-5[/tex]
so the equation in the standard form will be:
[tex]\frac{5}{2}x-y=5[/tex]
An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the value of each drinking cup?
*see attachment for the dimensions of the cone given.
Answer:
7.9 in³
Step-by-step explanation:
Given:
Height of cone = 4 in.
Diameter of cone = 2¾ in
Radius (r) = ½ of 2¾ = 1.375 in
Required:
Volume of the cup
Solution:
Volume of the cup = volume of a cone
Volume of a cone = ⅓πr²h
Plug in the values of π, r and h into the formula.
Volume = ⅓*3.14*1.375²*4 = 7.9 in³ (approximated to the nearest tenth)
A car traveled a distance of 210 miles in 3 hours time. How fast was the car driving?
Help please :((((((((((((((
Step-by-step explanation:
connect the points p and s
and comnect the points q and t
take triangle PQS and triangle TSQ
SQ similar to SQ
PQ similar to QS
QS similar to ST
therefore triangle PQS similar to triangle TSQ
Therefore , PQ/ QS = ST/ QS
PQ=ST
(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.)
16. What is P(red, yellow, blue)?
17. What is P(orange, yellow)?
18. P(green, blue, purple)?
19. P(pink)?
20. P(red, orange, yellow, green, blue, purple)?
Thank you!!
Answer:
16. 3/817. 1/818. 5/1819. 020. 1Step-by-step explanation:
As per the spinner we have:
Green = 1/2 - 1/16 = 7/16Red = 1/4Purple = 1/8Orange, blue, yellow = 1/1616. P(red, yellow, blue) = ?
P = 1/4 + 1/16 + 1/16 = 3/817. P(orange, yellow) = ?
P = 1/16 + 1/16 = 1/818. P(green, blue, purple) = ?
P = 7/16 + 1/16 + 1/8 = 10/16 = 5/819. P(pink) = ?
P = 0 as no pink section20. P(red, orange, yellow, green, blue, purple) = ?
P = 1 as all possible colors selectedWhat is the system of equations represented by the table of values for continuous
linear functions, f(x) and g(x), shown below?
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
On a number line ,4.1 would be located. choose all answers that make a true statement.
A. To the right of 4.5
B. between 5 and 6
C. to the left of 4.19
D. To the left of 4.4
Help me plz
Answer:
D
Step-by-step explanation:
Whar is an example of a transversal?
Answer: Lightwave forms the most important example of a transverse wave. In case of the light waves, particles travel perpendicular to the direction of the waves. It is the visible spectrum that is visible to the human eye and is responsible for the sense of sight.
Step-by-step explanation:
Answer:
♡ hi fairy ♡
An example of a transversal is line that intersects a system of lines.
hope I could help you. have a great day!
-madeline/madi
✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧
Step-by-step explanation: