Algebra question
What is the solution to the following system?
(3, 1, 0)
(0, 1, 0)
(2, 1, 0)
(–2, 1, 0)
Answer:
C.(2,1,0)
Step-by-step explanation:
on edg
The solution to the following system is [tex](2,1,0)[/tex].
What is Algebra?Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.
We have,
[tex]3x+3y+6z=9[/tex] [tex](i)[/tex]
[tex]x+3y+2z=5[/tex] [tex](ii)[/tex]
[tex]3x+12y+12z=18[/tex] [tex](iii)[/tex]
To find the solution to the above give algebraic equations,
We have to find values of [tex]x,y,z[/tex].
So,
We will be putting [tex]z=0[/tex] in equation [tex](i)[/tex],
[tex]3x+3y+6(0)=9[/tex]
[tex]3x+3y=9[/tex] [tex](iv)[/tex]
Now,
We will be putting [tex]z=0[/tex] in equation [tex](ii)[/tex],
[tex]x+3y+2(0)=5[/tex]
[tex]x+3y=5[/tex]
[tex]x=5-3y[/tex] [tex](v)[/tex]
Using equation [tex](iv)[/tex] & [tex](v)[/tex],
We get,
[tex]3(5-3y) +3y=9[/tex]
[tex]15-9y+3y=9[/tex]
[tex]-6y=-6[/tex]
[tex]y=1[/tex],
Now we have value of [tex]y=1[/tex], putting this value in equation [tex](v)[/tex],
[tex]x=5-3(1)[/tex]
[tex]x=2[/tex],
Hence, we can say that option [tex](2,1,0)[/tex] is the correct answer.
To learn more about algebra click here
https://brainly.com/question/953809
#SPJ2
Movie posters sell for $2.89 each, with a 25% discount if 15 or more posters are purchased. Sales tax is 6%. If Lois buys 20 posters, about how much would the posters cost?
Answer:
The posters cost $52.07.
Step-by-step explanation:
First, you have to calculate the cost of the 20 posters by multiplying the price per poster for the quantity:
$2.89*20=$57.8
Then, you have to calculate the 15% discount by multiplying the cost for 15% and subtracting that amount from the cost:
$57.8*15%=$8.67
$57.8-$8.67=$49.13
Finally, you have to calculate the 6% of $49.13 and add the result to that amount:
$49.13*6%=$2.94
$49.13+$2.94=$52.07
According to this, the answer is that the posters cost $52.07.
What is the y-intercept of this line?
Answer:
(0, 3)
General Formulas and Concepts:
Algebra I
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the graph, the line passes the y-axis at 3. Therefore, our y-int is (0, 3).
Answer:
3
Step-by-step explanation:
Each line represents one unit, so if we count up from the origin, or (0, 0), up until we get to the y-intercept, we count a total of 3 lines. That means the y-intercept is at (0, 3). We can just simplify this to 3, though. I hope this helps!
Please help! Will mark brainliest!
Need help on C and D thank you
Answer:
c = 17 chapters left
d= im going to say 6
Answer:
C.
29 + 12 = 41
D.
2 : 3
(add 7)
? : 10
9 : 10
Step-by-step explanation:
Your answer for C. is 41 chapters.
Your answer for D. is 9 cartons of milk in 10 seconds.
A is the center of rotation for the figure below.
Rotate the figure 90 degrees, then another 90 degrees.??
What do you notice?
18. the distance that a object covered in time was measured and recorded in the table below.
True/False: The distance covered is directly proportional to the time.
a. True
b. False
Answer:
False
Step-by-step explanation:
It is not proportional because the distance does increase with the same amount with time.
if Proportional , this would be the tabel
Time distance
1 4
2 5.5
3 7
4 8.5
5 10
a. AAS
b. ASA
c. NOT CONGRUENT
d. SSS
e. SAS
(geometry)
can someone please help me with this it’s due soon please
Answer: 5 inches
Step-by-step explanation:
Perpendicular bisectors must be split directly in half, as they are *bi*sectors, meaning "*two* sections"
Perpendicular means when two angles come together to create a 90° angle
This means that angle BDA is also a 90 degree angle
Since line AC is the line segment split by the perpendicular line segment BD, then you can assume that it is the only 8 inch line, according to multiple laws of geometry. This indicates that segment BC and segment BA must be congruent.
What formula do you use when you are missing a length of a right triangle?
Answer:
Pythagorean Theorum
Step-by-step explanation:
a^2*b^2= c^2
Marco needs to buy some cat food. At the nearest store, 5 bags of cat food cost $28.75. How much
would Marco spend on 6 bags of cat food?
Marco would spend $on 6 bags of cat food.
Plz help me answer this
Answer:
(0, 4)
x = 0
y = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
12x - 5y = -20
y = x + 4
Step 2: Solve for x
Substitution
Substitute in y: 12x - 5(x + 4) = -20Distribute -5: 12x - 5x - 20 = -20Combine like terms: 7x - 20 = -20Isolate x term: 7x = 0Isolate x: x = 0Step 3: Solve for y
Define original equation: y = x + 4Substitute in x: y = 0 + 4Add: y = 4Please help asap!! Due today!
Answer:
25 cm
Step-by-step explanation:
a^2 + b^2 = c^2
7^2 + 24^2 = c^2
49 + 576 = c^2
c^2 = 625
c = 25
Answer: 25 cm
8900945867-*+.23598.000562-45896.0265=986578587983+89744563212255685-.032658974633what is the quotients!! s+89.222550y+-x=-.3265
Answer:
21
Step-by-step explanation:
Complete the equation of the line through (-9,7)(−9,7)left parenthesis, minus, 9, comma, 7, right parenthesis and (-6,-3)(−6,−3)left parenthesis, minus, 6, comma, minus, 3, right parenthesis.
Answer:
[tex]y = -\frac{10}{3}x -23[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-9,7)[/tex]
[tex](x_2,y_2) = (-6,-3)[/tex]
Required
Determine the line equation
We start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (-9,7)[/tex]
[tex](x_2,y_2) = (-6,-3)[/tex]
So, we have:
[tex]m = \frac{-3- 7}{-6 - (-9)}[/tex]
[tex]m = \frac{-3- 7}{-6 +9}[/tex]
[tex]m = \frac{-10}{3}[/tex]
[tex]m = -\frac{10}{3}[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex] ---- Point slope form of an equation
Where:
[tex]m = -\frac{10}{3}[/tex]
[tex](x_1,y_1) = (-9,7)[/tex]
[tex]y - y_1 = m(x - x_1)[/tex] becomes
[tex]y - 7 = -\frac{10}{3}(x - (-9))[/tex]
[tex]y - 7 = -\frac{10}{3}(x +9)[/tex]
Open bracket:
[tex]y - 7 = -\frac{10}{3}x -\frac{10}{3}*9[/tex]
[tex]y - 7 = -\frac{10}{3}x -10*3[/tex]
[tex]y - 7 = -\frac{10}{3}x -30[/tex]
Collect Like Terms
[tex]y = -\frac{10}{3}x -30 + 7[/tex]
[tex]y = -\frac{10}{3}x -23[/tex]
Hence:
The equation is: [tex]y = -\frac{10}{3}x -23[/tex]
Answer:
y=-10/3x-23
Step-by-step explanation:
the function f(x)=1/2x+3/2 is used to complete this table.
which statements are true if the given function? check all that apply.
f(-1/2)= -2
f(0)=3/2
f(1)= -1
f(2)= 1
f(4)=7/2
9514 1404 393
Answer:
f(0)=3/2f(4)=7/2Step-by-step explanation:
You can read f(0) = 3/2 from the table. The slope is 1/2, so f(4) will be 1 more than f(2): f(4) = 7/2.
John has seven hamburgers, which he divides evenly among his three friends. Which point on the number line below represents the number of hamburgers that each friend receives
URGENT!!!!!!! Which scatterplot suggests a linear function between X and Y?
A) I only
B) II only
C) I and II only
D) I, II and III only
Finish the proof plz.
9514 1404 393
Explanation:
Here are the reasons:
GivenDefinition of a rectangleDefinition of a rectangleLL theorem for congruence of right trianglesCPCTC (corresponding parts of congruent triangles are congruent)A construction crew has just finished building a road. The crew worked for 4 4/9 days. If they built 2 1/5 kilometers of road each day, what is the total length of road they built?
Need help, please would be helpful
Answer:
90
Step-by-step explanation:
can someone help me
Answer:
A is a function
Step-by-step explanation:
Hope the image helps.
Determine the vertical intercept
PLEASE Help ASAaP will give brainlist
Please help me find tge answer soon thxs
Answer:
acute
Step-by-step explanation:
It measures less than 90 degrees
Answer:
Acute angle
Step-by-step explanation:
(less than 90°)
how many sixths are there in 5 1/2
Answer:
21
Step-by-step explanation:
PLSS HELPPPPPPPPPPPPPPPPPPPPPP ASAP PLSS
Answer:
Step-by-step explanation:
me too
Answer:
1 right triangle and isosceles
2 acute triangle and scalene
3 equiangular triangle and equilateral
4 acute triangle and isosceles
5 obtuse triangle and isosceles
6 obtuse and scalene
7 equiangular triangle and equilateral
8 right triangle and isosceles
I'm not sure about the bottom part since I can't really see sorry.
Step-by-step explanation:
acute - when a angle is less than 90 degrees
Obtuse - when an angle is more than 90 degrees
Right - when angle is at 90 degrees also it will have a square in the triangle to let you know that it 90 degrees/right angle.
Scalene triangle - when side have an uneven length.
isosceles triangle - when two side are equals.
equilateral - when all sides are equal.
equiangular - have all equal angles
50 points!
Select the correct answer.
Which equation has an extraneous solution?
Answer:
C. Square root of x = -5
Step-by-step explanation:
Answer: c [tex]\sqrt{x} =-5[/tex]
Step-by-step explanation:
Explain what the slope of each line below represents. Then find the slope and give its units
Answer:
The slope represents the rate of change of water volume stored in a storage tank.
The slope here is -900 in units of gallons per month. (gal/mos)
Step-by-step explanation:
The slope is rise over run, going from left to right.
Looking at the difference in time then, it is a period of ten months, and the volume difference is -9000 gallons.
The slope then is -9000 gallons divided by 10 months, which is -900 gallons per month
69 students bought tickets to a concert. The students made up 46% of the total amount of people. How many people were at the concert
Answer:
150
Step-by-step explanation:
Answer:
150 people
Step-by-step explanation:
If you turn 69/150 into a percent it will in fact give you 46%