Solve the following system of equations graphically on the set of axes below. y = x - 3 y = - 3/5x + 5
Answers
Answer:
Solution by graphing: (5, 2)
Step-by-step explanation:
y = x - 3
y = - 3/5x + 5
To solve systems of linear equations graphically, you'll have graph each equation using 2 pairs of points.
A great starting point is always using its intercepts:
y = x - 3
where the y-intercept is (0, -3).
To find its x-intercept, set y = 0 and solve for the value of x:
y = x - 3
0 = x - 3
Add 3 to both sides:
0 + 3 = x - 3 + 3
3 = x
Therefore, the x-intercept = (3, 0).
y = - 3/5x + 5
where the y-intercept is (0, 5).
Next, you could find a value of x that easily cancels out the fraction given by the slope (m) = -3/5. An input value of x = 5 cancels out the denominator of the slope:
y = - 3/5x + 5
y = - 3/5(5) + 5
y = -3 + 5
y = 2
Therefore, the other point that you could use to plot on the graph is (5, 2).
For y = x - 3, we'll use the line's intercepts: (0, -3) and (3, 0).
For y = - 3/5x + 5, we'll use (0, 5) and (5, 2).
Plotting these points on the graph will give us a solution of (5, 2), as it is the point where both lines intersect. Attached is a screenshot of the graphed lines.
Please mark my answers as the Brainliest if you find my explanations helpful :)
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(3√81)/(3√24)rationalize the dominator and simplify
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Answer:
3√6/4 or 1.84
Step-by-step explanation:
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Answer:
angle OPN, angle PON, angle NOP, angle PNO
Step-by-step explanation:
Essentially, this simply asks what angles contain the line OP. If we draw the triagnle NOP (in that order starting at the top), we can see that all these angles include the line OP within their angles.
(note: Im not sure if it is asking for the line OP in that order. If so, it would only be angles 1 and 3, as those have OP in that order)
I will mark brainliest when I’m able to !!
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Answer:
It should be b
Step-by-step explanation:
I took this test
Answer: The answer would be A.
Step-by-step explanation:
The answer is a because when you do square root 60 on a caculator the answer is 4. So the answer would be A.
To win a trivia game, Nevan must score 90 points. Each correct
answer is worth 1 3/4 points, and each incorrect answer is worth
- 1/4 points. If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?
Answers
Answer:
Nevan does not win
He scored 74 points
Step-by-step explanation:
First, find how many points he gets from 58 correct questions:
Multiply 1 3/4 by 58:
58(1.75)
= 101.5
Then, find how many points he loses from 22 incorrect questions:
Multiply -1 1/4 by 22:
22(-1.25)
= -27.5
Then, subtract 27.5 from 101.5 to find how many points he scored:
101.5 - 27.5
= 74
Since he needed 90 points to win, he did not win because he only got 74.
Step-by-step explanation:
The length of the legs of a right triangle are 1 and 2 centimeters long. Find the length of
the hypotenuse.
Answers
Answer:
About 2.24 cm
Step-by-step explanation:
You can use Pythagoras theorem which states that;
[tex]a^2+b^2=c^2[/tex]
Plug all values in;
√[tex]1^2=1\\2^2=4\\1+4=5\\5=2.236067977[/tex]
I hope this helps:) Have a good day!!
On school days, Kiran walks to school. Here are the lengths of time, in minutes, for Kiran’s walks on 5 school days.
16 11 18 12 13
Create a dot plot to represent Kiran's data.
Add dots on the dot plot below to correctly display the data. To add dots, hover your cursor over the bottom of each column and drag up or down to set the appropriate number of dots.
Answers
Answer:
5
Step-by-step explanation:
Herman and his dad are leaving early in the morning for his lacrosse tournament. Their house is 210 miles from the tournament. They plan to stop and eat after 2 hours of driving, then compete the rest of the trip. Herman's dad plans to drive at an average speed of 60 miles per hour. How long will the second part of the trip take
Answers
The second part of the trip took 1.5 hours.
Average Speed is the ratio of the total distance travelled to the total time taken to cover that distance. It is given by:
Average Speed = total distance ÷ total time
Given that the distance from the house to the tournament is 210 miles, hence:
Total distance = 210 miles
Also, The journey was in two parts, the first part took 2 hours. Let the second part take t hours. Therefore:
Total time = t + 2
The average speed of 60 miles per hour, hence:
60 = 210 ÷ (t + 2)
60(t + 2) = 210
60t + 120 = 210
60t = 90
t = 1.5 hours
Therefore the second part of the trip took 1.5 hours.
Find out more at: https://brainly.com/question/9834403
4(5y-2) = 40
what is y?
Answers
Answer: 4(5y−2)=40
Divide both sides by 4.
5y−2=
4
40
Divide 40 by 4 to get 10.
5y−2=10
Add 2 to both sides.
5y=10+2
Add 10 and 2 to get 12.
5y=12
Divide both sides by 5.
y= 12/5 or 2.4 please give brainliest
Step-by-step explanation:
Answer this question please
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Answer:
1/8362
Step-by-step explanation:
Student picked at random/Number of students
For this graph, mark the statements that are true.
A. The range is the set of all real numbers.
7
B. The range is the set of all real numbers greater than or equal to
zero.
C. The domain is the set of all real numbers.
D. The domain is the set of all real numbers greater than or equal to
-2.
Answers
Answer:
B and C are true
Step-by-step explanation: range is y values the graph can have from 0 up
domain in x values the graph can have so all number in either direction left and right
Answer:
Step-by-step explanation: The answer is B and C because range is y and it is greater than 0 and domain is x and is go infinitely in both directions
please explain btw it’s telling me to find the equation not the sum
Answers
Answer:
21+v=52
Step-by-step explanation:
Sum means the result of two numbers added together
The temperature T of a refrigerator is at least 35°F and at most 41°F. Write a compound
inequality and an absolute value inequality for the temperature of the refrigerator.
Answers
The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35 ≤ T ≤ 41
A compound inequality has two inequality statements joined together
The the temperature of the inequality is represented by T
The temperature T of a refrigerator is at least 35°F and at most 41°F
This means that the temperature falls between 35°F and 41°F
Since the temperature, T, is at most 41°F
This can be mathematically interpreted as
T ≤ 41
The temperature, T, is at least 35°F
35 ≤ T
Combining the two inequality statements 35 ≤ T and T ≤ 41, the compound statement formed is:
35 ≤ T ≤ 41
The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35 ≤ T ≤ 41
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b^(3) * b^(4) write without exponents
Answers
Answer:
(b×b×b)×(b×b×b×b)
Step-by-step explanation:
Writing the equation out is the only way to remove the exponents.
A local business rents computer time for a $5 setup charge and $0.30 per minute the computer is used
Write an equation to represent the cost of using the computer for a given amount of
Us
time in minutes. Define your variables.
How much does 30 minutes of computer time cost?
Answers
Answer:
[tex]c = 0.3m + 5[/tex]
define the variables:
c is the cost and m is minutes
It costs $14
Step-by-step explanation:
[tex]c = 0.3m + 5[/tex]
To solve for cost substitute 30 in for m
[tex]c = 0.3(30) + 5[/tex]
multiply
[tex]c = 9 + 5[/tex]
add
[tex]c = 14[/tex]
What is the rounded number when 4 872 is rounded to the nearest hundred?
Answers
(The answer is 4900, that’s what i got)
Ashley has 6 books and 9 pencils. James has 12 pencils but is not able to determine the amount of books he has. The amount of books and pencils Ashley and James have are proportional.
How many books does James have? Show your work using mathematics.
Answers
Answer:
8 books
Step-by-step explanation:
First you need to find the ratio between 6 and 9
6/9 = 2/3
The ratio is 2/3
Now for James's case his denominator would be 12
x/12
To find the numerator you need to multiply the denominator by 2/3
12 * 2/3 = 8
There you go, the numerator is your answer
8 books and 12 pencils
Hope this helps :)
what is the answer for this 30≤x≤60.
Answers
Step-by-step explanation:
if you want it on a number line put a closed circle around the 30 and draw the line till 60 and put a closed circle.
Solve the equation. 2/3 -4c+7/2 = -9x+5/6
Answers
Answer:
The value of X is -2/3
Step-by-step explanation:
edge2021
How do i simplify this question?
Answers
you just needed to multiply the numbers
answerrrrrrrrrrrrrrrr plzzzzzzzzz
Answers
Answer:
x=7
Step-by-step explanation:
7+8 = 15
15+75 = 90
ABC is a 90º angle since AB is parallel to BC
PLEASE HELP!!!
i think i got a and b done, but i really need help on c and d
Answers
Good luck
PLS HELP DUE IN 15-20 MINS!!
Answers
Susan and Jim both babysit. Susan earns $15 for 2 hours and $30 for 4 hours. Jim’s charges are calculated using the equation t=7h+10 (t is the total and h is the hours) which statement is true
A.) Jim charges $7.00/hour, which is higher than Susan’s hourly rate
B.) Jim charges $10.00/hour, which is higher than Susan’s hourly rate
C.) Susan charges $7.00, which is equal to Jim’s hourly rate
D.) Susan charges $7.50, which is higher than Jim’s hourly rate
Please answer as soon a possible
Answers
Answer:
D.
Step-by-step explanation:
7h is the amount of money Jim makes per hour. You can find the amount of money Susan makes by dividing the amount she made to the hours:
15/2 = 7.50
Susan charges $7.50, which is higher than Jim's hourly rate. which is the correct answer would be a statement (D)
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
To find the hourly rate for Jim, you can plug in different values for h (the number of hours) in the equation t = 7h + 10 and solve for t (the total). For example, if h = 1, then t = 7(1) + 10 = 17. This means that if Jim babysits for 1 hour, he charges $17.
If you divide the total amount that Jim charges by the number of hours he works, you get his hourly rate. In this case, the hourly rate is t/h = 17/1 = $17/hour.
To find Susan's hourly rate, you can divide the total amount that she charges by the number of hours she works. For example, if Susan babysits for 2 hours, she charges $15, so her hourly rate is $15/2 = $7.50/hour. If Susan babysits for 4 hours, she charges $30, so her hourly rate is $30/4 = $7.50/hour.
Since Susan charges $7.50/hour, which is higher than Jim's hourly rate of $17/hour, the correct statement is D.) Susan charges $7.50, which is higher than Jim's hourly rate.
Learn more about the equations here:
brainly.com/question/10413253
#SPJ2
Please help me with this
Answers
Answer:
nice handwriting
Step-by-step explanation:
i like it
2 candy bars cost $0.98. At this rate, how much do 5 candy bars cost? The total cost for five candy bars is?
Answers
Answer:
$2.45
Step-by-step explanation:
First divide the cost by number of items. you shall get $0.49
Now multiply the cost of 1 candy bar into 5 and you shall get $2.45.
what is 10x10x20x10232 hurry i really need help
Answers
Answer:
20,464,000
Step-by-step explanation:
Answer: The answer is exactly 204,64000.
Step-by-step explanation: I hope I helped you out.
A=1/2f(r+z), solve for r
Answers
Answer:[tex]\frac{2A}{f} -2=f[/tex]
Step-by-step explanation:
A=1/2(r+2)
2A=f(r+2)
2A/f=r+2
2A/f-2=r
Plz help it’s due tonight!!!
Answers
sorry
Step-by-step explanation:
Write the word sentence as an equation. Then solve.
The quotient of a number x and −1.5 is 21
Answers
Answer:
X = 31.5
Step-by-step explanation:
X / 1.5 = 21
X = 21 * 1.5
Jim rented a truck for one day . There was a base fee of $18.95 and there was an additional charge of 74 cents for each mile driven . Jim had to pay $119.59 when he returned the truck . For how many miles did he drive the truck ??
Answers
Answer:
136 miles
Step-by-step explanation:
subtract $119.59 with how much he rented the truck for, which is $18.95 which makes his money at $100.64, then divide by how much each mile costed which was 74 cents
which gives you 136 so 136 miles.
Hope this helps :)
