Brainiest if good answer!
No links!!! I won’t view them
Given the system of linear equations:
{x+6y=6
y=1/3 x−2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B
Answers
Answer:
QUESTION 1
The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.
To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up
Then, we use this value to find the other one
Therefore, the solution is (-1,-5), which is the same showed graphically.
QUESTION 2.
Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).
To verify the solution algebraically, we must multiply the second equation by -6
Then, we use this value to find the other one
Therefore, the solution is (6,0), the same showed graphically.
Step-by-step explanation:
If you don't get it
question 1
solution is (-1,-5)
question 2
solution is (6,0),
The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The system of linear equations:
x+6y=6
y=1/3 x−2
Part A: Graph is shown in the picture.
Part B: The intersection point is (6, 0)
x = 6
y =0
Part C: By substitution method.
[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]
x = 6
y = 0
Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
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Related Questions
5. You purchase a bicycle with a retail (pre-tax) price of $760. The local sales tax rate is
7.6%. What is the final cost?
Answers
Answer:
Final cost is 817.76
Step-by-step explanation:
First find the amount of the tax
760 * 7.6%
760 * .076
75.76
Add this to the cost of the bike
760+57.76
817.76
2. A new pump is used to empty the pool in Exercise 1. The equation
W= -275(2t - 7) represents the gallons of water w that remain in
the pool t hours after pumping starts.
a. How many gallons of water are pumped out each hour?
b. How much water is in the pool at the start of pumping?
c. Suppose there are 1,000 gallons of water left in the pool. How long
has the pump been running?
d. After how many hours will the pool be empty?
e. Write an equation that is equivalent to w= -275(2t - 7). What
information does it tell you about the situation?
Answers
Answer:
a. 550 gallons/hr.
b. 1925 gallons
c. 1.268 hours
d. 3.5 hours
Step-by-step explanation:
W = -275(2t-7), where t is hours since pumping starts. Let's rewrite this in standard line format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0). In this case we'll use W and t instead of x and y.
W = -275(2t-7)
W = -550t + 1925
The 1925 figure represents the water volume when t = 0, the initial volume. The slope of -550 is the rate at which water is being pumped out. 550 gallons/hr.
We can solve the equation for the hours required to make w=0:
W = -550t + 1925
0 = -550t + 1925
550t = 1925
t = 3.5 hours
-
We can solve for when W = 1,000:
W = -550t + 1925
1000 = -550t + 1925
-925 = -550t
t = 1.682 hours
a. 550 gallons/hr.
b. 1925 gallons
c. 1.268 hours
d. 3.5 hours
We can also graph the function. attached.
HELP!!! WILL MARK BRAINLIEST!!! +15 POINTS!! REAL ANSWERS ONLY PLEASE!
Answers
Answer:
3rd option
Step-by-step explanation:
Answer:
it's the first option (x ≥ -4)
Step-by-step explanation:
Domain refers to the x range, which is the horizontal line. As we can that the point last touches from the left is -4 and it is a colored circle so that means that there is a line underneath. Then, it goes right so that means that x is larger and/or equal to -4.
x ≥ -4
omg please i need help this is worth sm pointssss PLEASE BESTIES
Answers
Answer: 1. don't call me your bestie...
2. the answer is A. 72 B. 75 C. 55 D. 52 E. 112 F. 55 G. I'm not sure what G is
Which expression represents how many years are in X months
Answers
Answer:
12 months is one year so the expression is:
Step-by-step explanation:
2year = 2(X)
so you know one year 12 months you can put 12 on the x value
2 years = 2(12)
2 years = 24 months
Joe was in charge of lights for a dance. The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds. If we include the very beginning and very end of the dance, how many times during a seven minute dance will all the lights come on at the same time
Answers
Answer:
We consider:
T1 = 2s
T2 = 3s
T3 = 5s
We calculate the least common multiple of the Ts:
Ttot = 30 s.
During a seven minute dance the lights will come on at the same time:
7*60 s / 30 = 14 times.
In a span of 7 minutes, the lights will blink together 14 times.
What is LCM?LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.
Given, Joe was in charge of lights for a dance.
The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds.
∴ LCM of 2, 3, and 5 is 30 so the lights blink together after every 30 seconds.
So, in 7 minutes or (7×60) = 420 seconds the lights will blink together
(420/30) = (42/3) = 14 times.
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Why do we not use a Leg-Leg (LL) Theorem that says if you know that the legs of two right triangles are congruent, then the triangles are congruent?
A. This information is not sufficient to prove triangles congruent.
B. This case is already covered by the HL Theorem.
C. This case is already covered by the SSS Postulate.
D. This case is already covered by the SAS Postulate.
Answers
2/10 = 20%= 0.2
True or false
Answers
Answer:
True
Step-by-step explanation:
a paper company needs to ship paper to a large printing business the paper will be shipped in small boxes in large boxes the volume of each box is 6 ft.³ and the volume of each large box is 12 ft.³ a total of 27 boxes of paper were shipped with a combined volume of 250 to cubic fe. graphically solve a system of equations in order to determine the number of small boxes shipped X and the number of large boxes shipped Y
Answers
Answer:
the answer is 10 :)
Step-by-step explanation:
what kind of wave is shown
Answers
Answer:
longitudinal
Step-by-step explanation:
Can someone help me make sense of the problem. Provide an explanation and answer if at all possible
Answers
Answer:
1.728×10¹⁵
Step-by-step explanation:
You may recall from 3rd grade that multiplying by 10 adds a zero to the right of a number (moves the decimal point 1 place to the right).
An exponent is used to signify repeated multiplication. These facts together are used to translate to/from scientific notation.
10 = 1 × 10
100 = 1 × 10 × 10 = 1 × 10²
__
Continuing in like fashion, 5.4×10⁸ represents 5.4 × (1 followed by 8 zeros).
Similarly, 3.2×10⁶ = 3.2 × (1 followed by 6 zeros)
The product will be ...
(5.4×10⁸)×(3.2×10⁶) = (5.4×3.2) × (1 followed by 8+6 = 14 zeros)
= 17.28 × 10¹⁴
= (1.728 × 10) × 10¹⁴ . . . moving the decimal point so there's 1 digit to its left
Adding that extra zero into the count we already have, this becomes ...
= 1.728×10¹⁵
_____
Additional comment
Your scientific or graphing calculator will have a mode for showing numbers in scientific notation. You can enter these numbers directly into your calculator and have it show you the result in scientific notation.
Or, you can use a spreadsheet with appropriate output cell formatting.
Answer:
1.728×10¹⁵ is the answer
Write the formula for the volume of a cone V=1/3 π r^2 h in terms of h. Find the height h of a cone with volume V= 32π cm^3 and a radius r= 4cm
Answers
Answer:
Step-by-step explanation:
h≈1.91cm
Francisco sold 9 rolls of wrapping paper for a band fundraiser earning the band $22.50. Sharon sold 16 rolls of wrapping paper and earned $40.00 for the band. If this relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis, what is the slope of the graph in dollars per roll?
A. 1.25
B. 2.50
C. 3.75
D. 5.00
Answers
Answer:
A
Step-by-step explanation:
If the relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis
Then the two points on that line will be (14,17.50) and (16,20)
We know that the slope of a lien with points is give by:-
Hence, the slope of the graph with points (14,17.50) and (16,20) is given by :-
Therefore, the slope of the graph = 1.25 dollars per roll.
What is the greatest multiple of 99 that is less than 0?
Answers
Answer: -99
Step-by-step explanation:
This is a tricky question because we are dealing with negative numbers. In this case, the numbers that are closer to 0 are the greater numbers. So, the greatest multiple of 99 that is less than 0 would be -99.
solve for x: 3x-10 = 2(x+6)
Answers
Answer:
x = 22
Step-by-step explanation:
Solve the system by substitution
8x + y = 4
-2x - 8 =y
(answer as an ordered pair)
Answers
Hello could someone help me I don’t get this? Will name brainliest :D if correct answer please no links
Answers
Answer:
A -- only
Step-by-step explanation:
A segment bisector intersects a segment at its midpoint.
S is the midpoint of segment PQ, so ST is a segment bisector. (It intersects PQ at its midpoint, S.)
No other midpoints are shown in this drawing.
__
A perpendicular bisector is perpendicular to the segment it bisects. None are shown in this drawing.
__
An angle bisector divides an angle into two congruent parts. None are shown in this drawing.
__
The vertex of a right angle is often marked with a small square. Only point P is the vertex of a right angle in this drawing. (We cannot assume OPQR is a square.)
Round 1.09 to the nearest whole number.
Answers
Answer:
1
Step-by-step explanation:
1.09 is in between the whole numbers 1 and 2. it is closer to 1 since the tenths digit (0) is less than 5. if it were 5 or greater, then we would round up to 2.
Answer:
1
Step-by-step explanation:
1.09 is closer to 1 than 2, therefore the whole number is 1.
If you were counting people or objects, well you can't have 9/100 as a person so you'd round to 2. But in this case, round to 1!
I hope this helped :)
please help brainliest
Solve. −7/8=−1/6−3/10x Enter your answer as a mixed number in simplest form in the box. x =
Answers
Answer:
X=[tex]\frac{36}{85}[/tex]
Step-by-step explanation:
-[tex]-\frac{7}{8}=-\frac{1}{6}-\frac{3}{10x}[/tex]
move the contants to the right hand side
[tex]-\frac{3}{10x}=-\frac{1}{6}+\frac{7}{8}[/tex]
Add the to terms on the right
[tex]-\frac{3}{10x}=\frac{17}{24}[/tex]
Cross multiply
72=170x
Swap sides of the equation
170x=72
Divide by 170 to both sides
x=[tex]\frac{36}{85}[/tex]
This is the simplest form.
The solution of the linear equation −7/8 = −1/6 − (3/10)x in the form of a mixed fraction number will be 2 ¹³/₃₆.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The linear equation is given below.
−7/8 = −1/6 − (3/10)x
Simplify the equation, then we have
−7/8 = −1/6 − (3/10)x
(3/10)x = −1/6 + 7/8
(3/10)x = 17/24
x = 85/36
x = 2 ¹³/₃₆
The arrangement of the direct condition −7/8 = −1/6 − (3/10)x as a blended part number will be 2 ¹³/₃₆.
More about the solution of the equation link is given below.
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can someone help with another question i posted 5 minutes ago
Answers
Answer:
Awnser
what is the question
I need help?????????
Answers
Answer:
3
Step-by-step explanation:
A dollar bill is about 0.00011 meter thick. What is this thickness in scientific notation?
Answers
Answer:
1.1 * 10 ^ -3Step-by-step explanation:
Given the value of the thickness of a dollar bill to be 0.00011 metre .
The standard scientific Notation is expressed as A * 10 ^ n
A is any value between 1 and 10 where n is any Integer .
0.00011 = 11 / 100000
0.00011 = 11 / 10000
0.00011 = 11 *1 / 1000
0.00011 = 11 * 0.0001
0.00011 = 1.1 * 0.001
0.0011 = 1.1 * 10 ^ -3
Hope this helps you !!What is 1 4/5 times 2 1/3
Answers
Answer:
4.2
Step-by-step explanation:
4 1/2
Explanation:1 4/5 = 9/5
2 1/3 = 7/3
---------------------------
9/5 · 7/3 = 21/5 OR 4 1/2
A man has 25 sweets and his son has 55 sweets.find the number of sweets that the man has to give to his son so that his son would have 4times as many sweets as him.
Answers
Man's sweets = 25 - x
The boy's sweets = 55 + x
This number is 4 times
55 + x = 4(25 - x)
55 + x = 100 - 4x
55 - 100 = -4x - x
-45 = - 5x
45 ÷ 5 = x
6.67 = x
6.67 ≈ 7
the man gives 7 sweets to the son so the son would have 4 times as much as the father
Answer:
9sweets
Step-by-step explanation:
sweets man has to give to his son=x
mans sweets=25-x
child's sweets=55=x
55+x=4(25-x)
55+x=100-4x
4x+x=100-55
5x=45
x=45/5
x=9
Answer: The man has to give nine sweets for his son to have four times as many sweets as him.
4.
ind
home
Julio won a contest. His cash prize is given to him in the following way:
On the first day, Julio will receive $0.25.
For each successive day, the amount of money Julio receives doubles.
a. Write an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day.
b. How much money will Julio receive on the tenth day?
Answers
Julio will receive $ 128 on the tenth day.
Given that Julio won a contest, and his cash prize is given to him in the following way: On the first day, Julio will receive $ 0.25, and for each successive day, the amount of money Julio receives doubles, to determine an explicit formula to represent the amount of money, f (d), in dollars, Julio receives d days after the first day, and determine how much money will Julio receive on the tenth day, the following calculations must be performed:
0.25 x 2 ^ D = F 0.25 x 2 ^ 9 = F 0.25 x 512 = F 128 = F
Therefore, Julio will receive $ 128 on the tenth day.
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When is new years????????????
Answers
Answer:
21 day
Step-by-step explanation:
EASY MArk as brainliest
Answer:
January 1 is new years day! can I get branliest:>
A vegetable cart sells potatoes for $0.24 and tomatoes for $0.76. Fred bought 12 vegetables in total. He only bought potatoes and tomatoes. If Fred paid $6.52 total, how many potatoes did he buy?
Answers
Let potatoes be a and tomatoes be b
[tex]\\ \sf\longmapsto a+b=12---(1)[/tex]
[tex]\\ \sf\longmapsto 0.24a+0.76b=6.52[/tex]
Simplify 2nd one
[tex]\\ \sf\longmapsto 0.06a+0.19b=1.63[/tex]--(2)
Solving both equations
b=7a=12-7=5How far will the snail be from the rock after 9 minutes?
Answers
Answer:
27 inches <3
Step-by-step explanation:
What is 16.281 rounded to the nearest whole number
and What is 16.281 rounded to the nearest tenth?
Answers
Answer:
16, and 16.3
Step-by-step explanation:
Answer:
1. 16 2.16.3
Step-by-step explanation:
2.16.281 is 16.28 which is near 16.3 so you round. Also anything above 5 you round and anything below 5 you round down.
What is the graph of the function rule? y=|3x|+2
Options below!
Answers
Answer: the 4th/last option
Step-by-step explanation:
Y goes up when x goes down or up. When x = 0, y = 2
Step-by-step explanation: I like to have the 3 on the
outside and we can just write it as y = 3|x| + 2.
Now, we know that this is the form y = a|x - h| + k where
(h, k) represents the vertex of the function.
Notice that there is no value of h so we say that h = 0.
In addition, we know that k = 2 so our vertex is (0, 2).
This eliminates the first graph and the third graph.
Since a is positive, our function opens upward.
So graph 4 matches with our equation.