Given the system of linear equations 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 Part B.
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.
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.
give me brainliest nerd
The graph of the system of linear equations is represented below.
The solution for the equations x+6y=6 and y= 1/3 x - 2 are x = 6 and y = 0.
What is an equation?A set of variables called an equation is one in which two mathematical expressions are equivalent to one another.
The given system of linear equations,
x+6y=6 (1)
And, y= 1/3 x - 2 (2)
Part A : The graph of the equations shown below:
Part B :
The lines intersect each other at (6, 0)
Therefore, the solution for the equations are x = 6 and y = 0.
Part C:
Substitute the value of x= 6 in the equation (1),
6 + 6y = 6
y = 0.
Also substitute the value of x = 6 in equation (2)
y = (1/3)x6 - 2
y = 2 - 2
y = 0
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Write the expanded form for each expression.
2(i + 5j)
-0.4(h - 1)
i(8 + 2h-6)
Answer:
2i + 10j
-0.4h + 0.4
8i +2hi - 6i = 2i + 2hi
HELP I NEED HELP!!!
3
1
+a=
4
5
mmmmmmmmmmmmmmmmmmmmmmmmm
i'm confused, can you tell me the question?
What is the answer and quick
Answer:
25%
Step-by-step explanation:
A phone company plans on offering their new smartphone in four colours: white, black, silver and rose gold. They anticipate that 30% of shoppers will prefer white, 35% will prefer black, 20% will prefer silver and 15% will prefer rose gold. They perform market research by asking a random sample of 350 potential customers which colour they prefer.
Color White Black Silve Rose Gold
Frequency 99 135 89 27
Can the company conclude that their expected distribution was accurate using a 10% level of significance?
a. Calculate the test statistic.
b. Determine the critical value(s) for the hypothesis test.
c. Conclude whether to reject the null hypothesis or not based on the test
a)
The test statistics is χ² = 8.31
b)
The critical value is 6.251.
c)
We reject the null hypothesis that the expected distribution is accurate.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
a.
To test whether the expected distribution was accurate, we need to perform a chi-square goodness-of-fit test.
The null hypothesis is that the expected distribution is accurate, and the alternative hypothesis is that it is not accurate.
The expected frequencies are:
Color:
White Black Silver Rose Gold
105 122.5 70 52.5
i.e
Expected Freq:
0.3 x 350 = 105
0.35 x 350 = 122.5
0.2 x 350 = 70
0.15 x 350 = 52.5
Using the formula for the chi-square goodness-of-fit test statistic:
χ² = ∑ (Observed Frequency - Expected Frequency)² / Expected Frequency
χ² = [(99-105)²/105] + [(135-122.5)²/122.5] + [(89-70)²/70] + [(27-52.5)²/52.5]
χ² = 8.31
b.
The critical value for the chi-square test with 3 degrees of freedom (4 categories - 1) and a significance level of 0.10 is 6.251.
c.
Since the calculated test statistic (8.31) is greater than the critical value (6.251), we reject the null hypothesis that the expected distribution is accurate.
Therefore, the company cannot conclude that their expected distribution was accurate using a 10% level of significance.
Thus,
a)
The test statistics is χ² = 8.31
b)
The critical value is 6.251.
c)
We reject the null hypothesis that the expected distribution is accurate.
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I NEED HELP ASAP!!! PLEASE HELP!!!
Answer:
from B we get y = -2x + 2
part c: slope, m =-2 and b=2
Step-by-step explanation:
Suppose a pack of candy bars has 4 bars. Each bar weighs 3.38 ounces. How much does the pack weigh?
Answer:
13.52 ounces I think...
Step-by-step explanation:
4x3.38 subtract the decimal and add it again...
what is -2.14285714 rounded to the nearest whole
Answer:
-2
Step-by-step explanation:
help find the surface area
Answer:
9yd
Step-by-step explanation:
Because you have to look at the sides.
If $6,000 is invested for 5 years with a 3.5% yearly interest rate, what is the amount of simple interest earned?
Answer:
1,050
Step-by-step explanation:
Simple Interest = Principle×Rate×Time/100
=6,000×5×3.5/100
=1,050
ryan climbed 100 steps in 50 seconds. How many steps did he climbed per second? Step by step. Show the full procedure.
A (5,3) and B(3,-2) are two fixed points. Find the equation of the locus of P, so that the
area of triangle PAB is 9.
Answer:
[tex]37=5x-2y,\,1=5x-2y[/tex]
Step-by-step explanation:
If [tex](x_1,y_1),\,(x_2,y_2),\,(x_3,y_3)[/tex] are coordinates of a triangle then area of a triangle is equal to [tex]\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]
Let point P be [tex](x,y)[/tex]
Put [tex](x_1,y_1)=(5,3),\,(x_2,y_2)=(3,-2),\,(x_3,y_3)=(x,y)[/tex]
Area of a triangle = [tex]\frac{1}{2}|5(-2-y)+3(y-3)+x(3+2)|[/tex]
[tex]=\frac{1}{2}|-10-5y+3y-9+5x|\\\\=\frac{1}{2}|-19+5x-2y|[/tex]
Also,
Area of a triangle = 9 square units
[tex]9=\frac{1}{2}|-19+5x-2y|\\\\18=|-19+5x-2y|[/tex]
±18 = -19 + 5x - 2y
[tex]18=-19+5x-2y,\,-18=-19+5x-2y\\\\37=5x-2y,\,1=5x-2y[/tex]
Which equation represents 7/3 ? Select all that apply.
Find the VOLUME of each prism. Round to the nearest tenth if necessary.
9 ft
11 ft
8 ft
Your answer
Answer: 792
Step-by-step explanation:
9*8= 72
72*11= 792
Length* Height* Depth= Area
Use the distributive property and mental math to find the product 5 x 49
I don’t understand, can someone help ?
Answer:
d. tan (35) = [tex]\frac{x}{10}[/tex]
Step-by-step explanation:
You must memorize the definitions of all the trig functions.
Tan of an angle = opposite side/adjacent side
In your case, the opposite side of the 35° angle is x and the adjacent side of the 35° angle is 10
So, tan 35 = x/10
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP ME. IF I PASS THIS I GET TO GO TO DISNEY WORLD.
Answer:
I think it would be C
Step-by-step explanation:
HELP ITS DUE IN 4 MINUTES
Answer:
3rd choice
4th choice
1st choice
2nd choice
please help 7th grade math
Answer:
8
Step-by-step explanation:
The mode is the number that appears most in the data set.
8 appears twice while all the other only appear once.
A car travels 56 miles in 3.5 hours.
a. What is the unit rate?
b. How long will it take the car to travel 120 miles?
c. How far will the car travel in 6 hours?
What is the distance between (1, -1) and (-2,3) ?
Answer:
the answer is 5
Simplify 8 – 2(3x – 36) + 4x
A. 22x - 216
B. -2x – 288
C. -2x + 80
D. X + 900
Answer:
C. -2x + 80
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
8 - 2(3x - 36) + 4x
Step 2: Simplify
[Distributive Property] Distribute -2: 8 - 6x + 72 + 4x[Addition] Combine like terms (x): -2x + 8 + 72[Addition] Combine like terms (Z): -2x + 80Estimate the diameter of a circle with a circumference of 80 ft. Use 3.14 for pi
Round your answer to the nearest hundredth if necessary. Estimate the diameter of a circle with a circumference of 80 feet.
9 +10 =
please help
I will give brainliest and 5 star and 10 points for the best answer
Answer:
910
Step-by-step explanation:
just remove the plus sign (+) to get your answer :)
The ratio of green to white candles is 2:5. If there are 32 green candles, how many white candles are there?
Answer:
80?
Step-by-step explanation:
Answer:
80 white candles
Step-by-step explanation:
I use a way that makes it easy for me
2:5 means [tex]\frac{2}{5}[/tex]
so when you write [tex]\frac{2}{5} =[/tex][tex]\frac{32}{x}[/tex]
that means you do the cross multiplication method which makes the equation go that way:
[tex]2x=32*5[/tex]
so
[tex]2x=160\\x= 80[/tex]
A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two
numbers?
O 3
O9
O18
O36
Answer:
36
Step-by-step explanation:
The outcome could be any number 1 through 6.
Hope halps
if I have five gallons of paint and I used 3/4 of the five gallons how much do I have left over
Answer:
4.25
Step-by-step explanation:
5-3/4=4.25
if 2x+y=8 and x+2=5. what is the value of y?
Answer:
y=2
Step-by-step explanation:
x+2=5
x= 5-2
x= 3
2x+y=8
2×3+y=8
6+y=8
y=8-6
y=2
Answer:
y=2
Step-by-step explanation:
First solve x+2=5 to find x.
x+2=5
-2 -2
x=3. Substitute x=3 into 2x+y=8.
(2 x 3) + y = 8
Now solve.
6 + y = 8
-6 -6
y=2.
Hope I helped x
Let h(x)=|2x|-4. Find h(x) when x = -7.
a)-10
b) 10
c) -13
d) 13
Plzzz