Which graph represents this system of equations?
y + 2x = 3
y + 2 = 3x
Answers
Answer:
The options are not given, so i will answer in a general way.
First, we have the system:
y + 2*x = 3
y + 2 = 3*x
To graph this system, the easier way is writing both equations as linear equations, like:
y = -2*x + 3
y = 3*x - 2
Now we just need to graph these two lines in the same coordinate axis.
To do it, we can replace the value of x by two different values in each equation, and see the correspondent value of y for these values. Then graph the two points, and draw a line that connects them.
For example, for the first equation if we have x = 0, we have:
y = -2*0 + 3
y = 3
Then we have the point (0, 3)
and if x = 1
y = -2*1 + 3 = 1
y = 1
we have the point (1, 1)
Now we only need to graph these points, and draw a line that passes through them.
Once we did this for both lines, the graph we will get will look something like the one above.
And the point where the lines intersect is the solution of the system of equations.
Which is the point (1, 1)
Related Questions
Need help asap please and thank you
Answers
It’s definitely number 2 but I don’t know the rest sorry
In the accompanying diagram, CD EF, AB is a transversal, m DGH = 2x , and m FHB = 5x - 51. Find the measure, in degress, of BHE??
Answers
Answer:17
Step-by-step explanation:
2x=5x−51
−3x=−51
x=
3
51
x=17
Angle B has a measure of 2.5 radians. A circle with a radius length of 2.6 cm is centered at Angle B's vertex. What is the length of the subtended arc along this circle?
______ cm
Answers
9514 1404 393
Answer:
6.5 cm
Step-by-step explanation:
The length (s) of an arc of a circle of radius r and angle θ is ...
s = rθ . . . . where θ is in radians
For your values, the arc length is ...
s = (2.6 cm)(2.5 radians) = 6.5 cm
The length of the subtended arc is 6.5 cm.
tara has a large box of dog treats that weighs 6.6 pounds. she uses the large box of dog treats to make smaller bags, each containing 0.6 pound of treats.
Answers
Answer:
11
Step-by-step explanation:
6.6/0.6 = 66/6 = 11
Complete the missing parts of the table for the following function when y=3^x
Answers
Answer:
hey there
Step-by-step explanation:
look, i'm not here to answer it, if anything i'm here bc i need ur help. My mom put me in Arron Academy too, but i started a bit later then everybody else, i started in October, and i rlly think i'm rlly behind bc school is about to finish and it says i"m only 33 percent done with geometry... Can you please text me back, my email is
A family cell phone plan costs $40 per month for each line and $50 for unlimited data. they pay $170 Create an equation
Answers
Jenny is doing a survey on why children like chocolates. Which survey question would she use?
Answers
She could ask: What's you favorite chocolate and why?
Hope that helps O-O
Evaluate log6 base 10+ log45 base 10 - log27 base 10
Answers
Answer:
The correct answer is B.
Explanation:
log106 + log1045 - log1027
log10
6
×
45
27
= log102 x 5
log1010 = 1
Step-by-step explanation:
To solve the problem we must know about the properties of logarithms.
What are the Properties of logarithms?There are four basic properties of logarithms:
[tex]\rm log_aU+ log_aV = log_a(UV)[/tex][tex]\rm log_aU - log_aV = log_a(\dfrac{U}{V})[/tex][tex]\rm log_aU^n = n\ log_aU[/tex][tex]\rm log_ab = \dfrac{log_xb}{log_xa}[/tex]The solution to the problem is 1.
Given to us
[tex]\rm log_{10}6+log_{10}45 - log_{10}27[/tex]
Evaluation of the Logarithmic expressionTo solve the problem we will use the [tex]\rm log_aU - log_aV = log_a(\dfrac{U}{V})[/tex] and [tex]\rm log_aU+ log_aV = log_a(UV)[/tex] properties of logarithms, thus the solution to the problem can be calculated as shown below,
[tex]\rm log_{10}6+log_{10}45 - log_{10}27[/tex]
[tex]=\rm {log_{10}(6\times 45)}-{log_{10}27}[/tex]
[tex]=\rm {log_{10}(\dfrac{6\times 45}{27})[/tex]
[tex]=\rm {log_{10}(\dfrac{6\times 45}{27})[/tex]
[tex]=\rm log_{10}10[/tex]
[tex]=1[/tex]
Hence, the solution to the problem is 1.
Learn more about Logarithmic:
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The line shown the line of best fit. The slope should and the y-intercept should
Answers
the line shown ISN'T the line of best fit. The slope should INCREASE and the y-intercept should REGRESS.
The line shown is not the line of best fit. The slope should increase and the y-intercept should regress.
We have given the graph of the regression line.
What is the graph of the regression line?
Regression lines can be used as a way of visually depicting the relationship between the independent (x) and dependent (y) variables in the graph.
A straight line depicts a linear trend in the data
Therefore, from the graph, we can conclude that,
The line shown is not the line of best fit.
The slope should increase and the y-intercept should regress.
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what law of exponent is shown by (4³)⁴ = 4¹²
Answers
Isabella is making a display board for the school trip. The display board is 2.50m by 2m rectangle. She needs to cover the entire display board with card. How much card would she needs?
Answers
Answer:
5m^2
Step-by-step explanation:
Given data
Length of board= 2.50m
Width of board= 2m
The cover need should have the same area as the board
Area= Length*Width
Area= 2.5*2
Area=5m^2
Hence the area of the cover is 5m^2
PLZ HELP FAST how much will it cost to pump one litre of fuel in to the tank what is the unit rate
Answers
Answer:
87 unit rate
Step-by-step explanation:
und frau und
milller
Answer:
87
Step-by-step explanation:
Dave receives 10% commission on his first $5000 in sales and receives 20% commission on any sales beyond the first $5000. If dave sells $7000 this month, what will Dave’s commission be for the month?
Answers
Answer:
Step-by-step explanation:
it a
Dave’s commission be for the month for sales worth $7000 is $900.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Dave receives 10% commission on his first $5000 and receives 20% commission on any sales beyond the first $5000.
He made sales worth $7000 this month,
Therefore, For the first $5000 he receives,
= (10/100)×5000.
= $500.
And for the rest (7000 - 5000) = $2000 he receives,
= (20/100)×2000.
= $400.
So, In total, he received (500 + 400) = $900
learn more about percentages here :
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3.) AI 65 kom hr. Alfred can reach home in 50 minutes. At what speed should he drive his car
so that he can reach home 10 minutes earlier?
Answers
Answer:
He should drive his car at a speed of 81.25 kilometers per hour.
Step-by-step explanation:
With a velocity of 65 kilometers per hour, he reaches home in 50 minutes. What speed he needs to reach home 10 minutes earlier, that is, in 50 - 10 = 40 minutes?
To solve this, we use the relation between inverse proportion variables(as the velocity increases, time needed decreases), that is, a rule of three with line multiplication, instead of cross. So
65 kilometers per hour - 50 minutes
x kilometers per hour - 40 minutes
So
[tex]40x = 65*50[/tex]
[tex]x = \frac{65*50}{40}[/tex]
[tex]x = 81.25[/tex]
He should drive his car at a speed of 81.25 kilometers per hour.
How do you graph y=−x−2.
Answers
Solve for the variable. 6(7 + 2) − 17b = b
Answers
Directions: Please choose ONE (you may answer all if you would like) question. Make sure to EXPLAIN your work. NO EXPLANATION=NO FULL CREDIT
Is the table proportional? Explain why or why
not.
If it is proportional, what is the constant of
proportionality?
What is the equation?
Answers
Answer:
Is the table proportional? Explain why or why not
Step-by-step explanation:
No, because all the ratios of y to x are not equal.
At a restaurant, the bill comes to $30. If you decide to leave a 10% tip, how much total do you need to pay? Give your answer to the nearest dollar.
Answers
Answer:
33dollors if I'm not mistakin
HHEEELPPP me PLEASEE ill mark you brainlyyy
Answers
Rachel spent $70 more than Samuel.
If Samuel spent $449, then how much did Rachel spend?
Answers
Answer: Rachel spent $519
Step-by-step explanation: Add 70 to 499 and you get 519
Answer:
$519
Step-by-step explanation:
Since Samuel spent $449, and Rachel spent $70 more. This will be an addition problem.
449 + 70 = 519
Can someone please answer this I am in need of help? NOW
Answers
Answer:
3 and 4
Step-by-step explanation:
a complemantary angle is 2 angles that equal 90* so 3 and 4
The circumference of a circle is 137 m. Find its diameter, in meters.
Answers
Step-by-step explanation:
[tex]137 = 2\pi \times r \\ r = \frac{137}{2\pi} = 21.8045232 \\ diameter = 2 \times r = 43.609 \\ = 43.61 \: m[/tex]
Given f(x)= 5x®, what is the domain? O 5
Answers
Answer:
all real numbers (D)
the range is y>= 0 (option B)
Step-by-step explanation:
the question isn't really clear, but assuming that it's f(x)=5x^6, the domain (or at least edge says the domain) is all real numbers. Next is y is greater than or equal to 0
hope this helps and you have a very nice day !! :)
1 A baby gains 11 pounds in its first year of life. The baby gained 44 pounds during the first four months and 3 in its second four months. How much did the baby gain in the last four months? 0 3a pounds o 35pounds O 4 pounds O 5 pounds
Answers
Answer: 3 1/4 pounds
Describe how the volume of a triangular prism and a triangular pyramid with the same dimensions are related.
Answers
Answer:
The relationship between the volumes of pyramids and prisms is that when a prism and pyramid have the same base and height, the volume of the pyramid is 1/3 of the volume of the prism.
Hope this helps!! ;)
volume of the prism is three times the volume of the pyramid with the same dimensions.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Volume of a triangular prism = area of base triangle × length of the prism
The volume of a triangular pyramid = (1/3) × Base Area × Height
The relationship between a triangular prism and a triangular pyramid with equal bases and heights is that the volume of the prism is three times the volume of the pyramid.
Therefore, volume of the prism is three times the volume of the pyramid with the same dimensions.
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A random telephone survey of adults (aged and older) was conducted by Opinion Research Corporation on behalf of CompleteTax, an online tax preparation and e-filing service. The survey results showed that of those surveyed planned to file their taxes electronically.
Required:
a. Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically. (to nearest whole number)
b. The survey reported that the most frequently used method for preparing the tax return was to hire an accountant or professional tax preparer. If of the people surveyed had their tax return prepared this way, how many people used an accountant or professional tax preparer?
c. Other methods that the person filing the return often used include manual preparation, use of an online tax service, and use of a software tax program. Would the data for the method for preparing the tax return be considered categorical or quantitative?
Answers
Complete Question
A random telephone survey of 1021 adults (aged 18 and older) was conducted by Opinion Research Corporation on behalf of CompleteTax, an online tax preparation and e-filing service. The survey results showed that 684 of those surveyed planned to file their taxes electronically (CompleteTax Tax Prep Survey 2010).
a. Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically. (to nearest whole number)
b. The survey reported that the most frequently used method for preparing the tax return is to hire an accountant or professional tax preparer. If 60% of the people surveyed had their tax return prepared this way, how many people used an accountant or professional
tax preparer?
c. Other methods that the person filing the return often used include manual preparation, use of an online tax service, and use of a software tax program. Would the data for the method for preparing the tax return be considered categorical or quantitative?
Answer:
a. A descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically is the measure of frequency, using percentage.
Therefore, we can say that the percentage of all taxpayers who file electronically is 67% (684/1,021 * 100).
b. If 60% of the people surveyed prepared their tax returns by hiring an accountant or professional tax preparer, the number of persons who used professionals is:
= 613 (1,021 * 60%)
c. The data for the method for preparing the tax return would be considered categorical.
Step-by-step explanation:
a) Data and Calculations:
Sample number of adults surveyed = 1,021
Number of those surveyed who planned to file electronically = 684
This means that those who planned to file manually = 337 (1,021 - 684)
b) Descriptive statistics summarize the basic features of the data set.
Categorical data groups data with similar characteristics together instead of using numerical values like quantitative data.
A 4 wheeler that travels 52 miles on 5 gallons of gasoline. A second 4 wheeler travels 21 miles on 2 gallons of gasoline which car get better gas mileage.
Answers
Answer:
The second 4 wheeler gets better mileage
Step-by-step explanation:
First 4 wheeler:
52mi - 5gal
Second 4 wheeler:
21mi - 2 gal
To compare we have to make sure everything is equal so,
5÷2 = 2.5
so,
second 4 wheeler:
21*2.5=52.5 , 2*2.5=5
52.5mi - 5gal
52<52.5
The number of boys at CMS is 56% of the total number of students. If there are 1050 students, how many are boys?
Answers
Answer:
558
Step-by-step explanation:
I NEED HELP AND QUICK.
Answers
Answer:
D (30)
Step-by-step explanation:
When a penny is flipped two times, the probability of flipping exactly one tail is__?
Answers
Answer:
[tex]P(Tail = 1) = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]Flips = 2[/tex]
Required
Probability of exactly one tail
This event can be represented as:
(Head and Tail) or (Tail and Head)
In the flip of a coin (penny), the following probabilities exist:
[tex]P(Head) = \frac{1}{2}[/tex]
[tex]P(Tail) = \frac{1}{2}[/tex]
So, the required probability is:
[tex]P(Tail = 1) = (P(Head) * P(Tail)) + (P(Tail) * P(Head))[/tex]
Substitute values for P(Head) and P(Tail)
[tex]P(Tail = 1) = (\frac{1}{2}*\frac{1}{2}) + (\frac{1}{2}*\frac{1}{2})[/tex]
[tex]P(Tail = 1) = (\frac{1}{4}) + (\frac{1}{4})[/tex]
[tex]P(Tail = 1) = \frac{1}{4} + \frac{1}{4}[/tex]
Take LCM
[tex]P(Tail = 1) = \frac{1+1}{4}[/tex]
[tex]P(Tail = 1) = \frac{2}{4}[/tex]
[tex]P(Tail = 1) = \frac{1}{2}[/tex]