What is the solution to the system of equations below?
y = negative 3 x + 5 and y = 4 x minus 2
Answers
Answer:
(1, 2)
Step-by-step explanation:
Since we are finding a solution that matches both equations, y = -3x + 5 is equal to y = 4x - 2.
So -3x + 5 = 4x - 2
Then group terms like so by moving them to the other side:
5 + 2 = 4x + 3x
7 = 7x.
Therefore x = 1.
Now to find y we substitue the value of x into an equation that contains y:
Y = 4x - 2
{x = 1}
Y = 4 - 2
Y = 2
Therefore the solution is (1, 2)
Related Questions
Louis bought a giant sub sandwich for the party. He wants to cut into 6-inch sections. If the sandwich is 18.25 feet, how many sections can he cut?
Answers
He’d have 36, 6 in sandwiches and a 3 inch section left
Explanation:
Take 18.25 and multiply by 12 which gives you 219. The amount of inches in the sandwich. Then divide 219 by 6 and you get 36.5
Math test results are shown in the box plot above. What percent of the students scored below 70%??
Answers
Shelly and Terrence earned points in a game by completing various tasks. Shelly completed x tasks and scored 90 points on each one. The expression below shows Terrence's total points in the game:
90x − 20
What does the constant term of the expression represent?
A :The total points Terrence earned
B :The total number of tasks Terrence completed
C : The sum of Shelly's and Terrence's total points
D :The difference between Shelly's and Terrence's total points
Answers
Answer:
D: difference between Shelly and Terrence total points
Item 7
Which of the following has a slope of –2 and a y-intercept of 4?
y = –2x – 4
y = 2x + 4
y = 2x – 4
y = –2x + 4
Answers
Bob owns a watch repair shop. He has foundthat the cost of operating his shop is given byc=2x2-192x+54, where c is cost and x is thenumber of watches repaired. How manywatches must he repair to have the lowestcost?
Answers
The solution for the quadratic equation, c(x) = [tex]2x^{2} -192x+54[/tex] is +48.
Bob must repair 48 watches to have the lowest cost.
What is axis of symmetry?
The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form.
We have, c(x) = [tex]2x^{2} -192x+54[/tex]
As we know the axis of symmetry, using the formula:
x = [tex]\frac{-b}{2a}[/tex]
In the above equation a = 2; b = -192
x = [tex]\frac{-(-192)}{2 * 2}[/tex]
x= [tex]\frac{192}{4}[/tex]
x = +48
Hence, the number of watches for lowest cost bob must sold is 48 watches.
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Solve for x
x=
4x+2 3x+24
Answers
Answer:
x = - 8/3
Step-by-step explanation:
Hope this helps
13 less than the product of 4 and a number, n, is 5
Answers
The value of n which makes the statement "13 less than the product of 4 and a number, n, is 5" true, is 4.5.
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
The statement given in the problem is "13 less than the product of 4 and a number, n, is 5".
Here, the 13 less than the product of n and 4 (n×4-13) is equal to the number 5. In the equation form,
[tex]4\times n-13=5[/tex]
Add number 13 both side and simplify it further,
[tex]4\times n-13+13=5+13\\4n=18\\n=\dfrac{18}{4}\\n=4.5[/tex]
Thus, the value of n which makes the statement "13 less than the product of 4 and a number, n, is 5" true, is 4.5.
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Mrs. Leger has a rectangular garden with side lengths measuring (3x + 10) inches
and (2x + 7) inches. She needs to purchase fertilizer to cover the area of her
garden. Given the side lengths, what is the area of Mrs. Leger's garden?
Answers
The area of Mrs. Leger's garden with length of (3x + 10) in and width of (2x + 7) in is 6x² + 41x + 70 in²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The area of a rectangle = length * width, hence:
Area of rectangular garden = (2x + 7) * (3x + 10) = 6x² + 41x + 70
The area of Mrs. Leger's garden with length of (3x + 10) in and width of (2x + 7) in is 6x² + 41x + 70 in²
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Ethan and Logan read a total of 23 books over the summer. Ethan read 5 more books than Logan. How many books did Logan read this summer? How many books did Ethan read this summer?
Answers
Answer:
Logan: 9
Ethan: 14
Step-by-step explanation:
Let Ethan = e
Let Logan = l
1) We can set up two equations and solve them simultaneously.
e + l = 23
5 + l = e
1.1) To solve these equations, we can either use substitution or elimination.
5 + l + l= 23
2l = 23 - 5
2l = 18
l = 18/2
l = 9
2) Plug the result of l into one of the two equations above.
5 + 9 = e
14 = e
Additional electronic devices that extend the revenue control abilities of POS systems are _____ and power platforms. touchscreens keyboards minicams magnetic strip readers
Answers
Answer:
touchscreens
Step-by-step explanation:
You need this to interact with POS
I LITTERALY BEG OF YOU TO HELP ME!!
LMN≅PQR
What is the value of x in degrees?
Answers
Answer: 56
Step-by-step explanation:
put these into slope intercept form
x + 3y ≤ 8
x + y ≥ 2
Answers
Slope intercept form is y = mx + b
[a] x + 3y ≤ 8 becomes y ≤ -[tex]\frac{1}{3}[/tex]x + [tex]\frac{8}{3}[/tex]
We subtract x from both sides of the equation.
Then we divide both sides of the equation by three.
x + 3y ≤ 8
3y ≤ -x + 8
y ≤ -[tex]\frac{1}{3}[/tex]x + [tex]\frac{8}{3}[/tex]
[b] x + y ≥ 2 becomes y ≥ -x + 2
We subtract x from both sides of the equation.
x + y ≥ 2
y ≥ -x + 2
Please help me with this , I will give 30 POINTS !.
Answers
======================================================
Explanation:
Through trial and error, we can set up these equations
4^5 = 10242^10 = 102432^2 = 1024This shows that choices A, C and D are eliminated. This is because 5, 10 and 32 all can work as either x or y in x^y = 1024, and that the other value is some other integer.
On the other hand, x = 16 doesn't work and neither does y = 16 if we wanted the other value to be an integer.
Solving x^16 = 1024 leads to approximately x = 1.5422 when we focus on the positive real number solution. This isn't an integer, so x^16 = 1024 doens't have any integer solutions.
Solving 16^y = 1024 leads to a similar situation as described in the previous paragraph. It doesn't have any integer solutions either (instead the value is y = 2.5)
So we have a few ways of arriving at why choice B is the final answer.
In (circle)A, m∠BAD = 110. Find mDE.
Answers
Answer:
Line BE = 180 degrees
Therefore, angle BAD + angle DAE = 180 degrees
Angle DAE = 180 -110 = 70 degrees
Step-by-step explanation:
answer what the question is asking
Answers
Answer:
12 and 6
Step-by-step explanation:
12×6=72
12÷6=2
I hope this may help you
Which state are the Puget Sound and the San Juan Islands found in?
Hawaii
Oregon
Washington
California
Answers
Puget Sound and the San Juan Islands are wonderful to explore. You can ride ferries to the different islands, take bicycle and kayak trips, and see many eagles and orcas.
There are several national parks in Washington, such as the North Cascades and Olympic National Park. Numerous Native American tribes still live in Washington, including the Skagit, Snohomish, Yakama, and Tlingit tribes.
Answer:
washington
Step-by-step explanation:
I am on it right now and I looked at the lesson again and it says
A truck travels 350 miles on 25 gallons of gas. how far can it travel with 60 gallons of gas?
Answers
Answer:
840
Step-by-step explanation:
because he can drive 14 with one gallon of gas so 14x 60
Slove for m
7m=3+4m
A.m=3/11
B.m=-7
C.m=-5/4
D.m=1
Answers
Answer:
The value of m. = 1
Step-by-step explanation:
=> 7m=3+4m
=> 7m -4m = 3
=> 3m = 3
=> m = 3/3
=> m = 1
Which equation has a slope of 3? *
Y = 5x + 3
y = 1/5 x - 3
y = 1/3 x + 5
y = 3x + 5
Answers
How can I rename 1/4 and 5/8 in the least common denominator
Answers
Answer:
2/8 and 5/8
Step-by-step explanation:
4=2×2
8=2×2×2
LCM=2×2×2=8
1/4 × 2/2 = 2/8
What would be the best method of achieving a valid simple random sample of students at UTSA?
Answers
Going to the website UTSA
Manuel works mowing lawns and babysitting. He earns $8.40 an hour for mowing and $7.60 an hour for babysitting. How much will he earn for 1 hour of mowing and 5 hours of babysitting?
Answers
Answer:
$14.10
Step-by-step explanation:
Answer:
$14.10
Step-by-step explanation:
For all numbers x, if 3(x + 2) = 72 – 3, then x = ?
Answers
Answer:
A.
Step-by-step explanation:
So far this season, the Utah Jazz have won 16
out of 48 games. What percent of games have
the Jazz won?
Answers
Answer:
33%
Step-by-step explanation:
16 is one third of 48
What number is bigger 18.84 or 28.8
Answers
Answer:
In terms of decimal places, 18.84 is bigger because of the hundredths place(4). In terms of whole numbers, 28.8 is bigger.
Answer: 28.8
Step-by-step explanation:
If you look at the first digit on the left in the number 28.8, which is 2, then you look at the first digit of 18.84, which is 1, you can see that 2 is larger than 1, so therefore 28.8 is larger.
which statement about the mean absolute deviation (MAD) of a data set is not true
Answers
Answer:
C
Step-by-step explanation:
MAD measures precision (meaning how close the data points are to each other)
mark brainliest please!
Mr. Pearson drives a bus for the city of Greenwood. Last month, he kept track of the number of bus riders each day.
Bus riders
50
60
70
80
90
100
What was the least number of bus riders?
Answers
Sullivan had to show 5 of his
coworkers how it's done. His boss
wanted him to roar! Of the 5
coworkers, 40 percent were clapping.
How many coworkers were clapping
Answers
Answer:
2 workers
Step-by-step explanation:
If you want to find 40 percent of 5, just mutiply 40% which = to .4 and 5
Explanation: 5 X .4 = 2. 5-2= 3
Two prisms are similar and their ratio of similarity is 3:8.
Find the area of a base of the smaller prism if the area of a base of the larger prism is 23 square units.
Round to the nearest hundredth.
Answers
Answer:
8.63 square units
Step-by-step explanation:
you must set up a proportion.
3 x
- = -
8 23
after you set up that proportion, cross multiply to find x.
8x = 69
divide by 8
x = 8.625, rounded to 8.63
440 customers at an ice cream shop took a survey and rated it "very satisfactory". This represented 22% of the total number. How many total customers took the survey?
Answers
Answer:
2000
Step-by-step explanation:
440 customers are 22% of total meaning there is 78% left.
440*100=44,000 44,000/22=2,000