The first equation from the system of equations is
graphed. Graph the second equation to find the solution
of the system of equations.
y=-X,
y = 2x + 6
What is the point of intersection?
O (2,1)
O (-1,2)
O (0,6)
O (-2,2)
Answers
Related Questions
You've decided to buy a printer and have narrowed it down to two choices. The laser printer costs
$150 but the average cost of each page is just 1.5 cents. The other option is an inkjet printer, which
costs $30, but each page has an average cost of 6 cents. Determine the conditions (e.g. the number
of pages) where each printer is the better buy.
Answers
Answer:
The conditions are;
Where the number of paper printed = x (x ∈ Z)
For 0 ≤ x ≤ 2,666, It costs less to own and therefore it is better to buy the ink jet printer
For 2,666 < x ≤ ∞, it costs less to own and therefore it is better to buy the lase jet printer
Step-by-step explanation:
The given parameters are'
The cost of the laser printer = $150
The average cost of each page printed with the laser printer = 1.5 cents
The cost of the inkjet printer = $30
The average cost of each page printed with the inkjet printer = 6 cents
Let 'y', represent the total cost of ownership each printer and let 'x', represent the number of paper printed, we have;
For the laser printer, we have;
[tex]y_{laser \ jet}[/tex] = 150 + 0.015·x
For the ink jet printer, we have;
[tex]y_{ink\ jet}[/tex] = 30 + 0.06·x
Therefore, the initial cost of ownership of the ink jet printer is lesser than the initial cost of ownership of the laser jet printer
However, where the cost, 'y', of the laser jet printer and the ink jet printer are equal, we have;
[tex]y_{laser \ jet}[/tex] = [tex]y_{ink\ jet}[/tex]
∴ 150 + 0.015·x = 30 + 0.06·x
120 = 0.06·x - 0.015·x = 0.045·x
x = 120/0.045 = 2,666.[tex]\overline 6[/tex]
Therefore, given that the cost of ownership and the number of sheets printed is a straight line relationship, after printing 2,666.[tex]\overline 6[/tex] sheets or when 2,667 sheets are printed, the cost of ownership of the laser jet printer will become lesser than the cost of ownership of the ink jet printer
Therefore, the conditions where each printer is better to buy are;
For printing the number of papers in the range 0 ≤ x ≤ 2,666, the ink jet printer is better to buy
When the number of paper printed, 'x', is in the range, 2,666 < x ≤ ∞, the laser jet printer is better to buy.
We want to see when is better to buy which printer.
Printer 1 is better for 2667 pages or more.
Printer 2 is better for less than 2667 pages.
Printer 1 costs $150 pls 1.5 cents per page, so the cost for x pages is:
C₁(x) = $150 + $0.015*x
Printer 2 costs only $30, but each page costs 6 cents, so we have the cost:
C₂(x) = $30 + $0.06*x
First, we need to find the value of x such that the two costs are equal:
C₁(x) = C₂(x)
$150 + $0.015*x = $30 + $0.06*x
$150 - $30 = $0.06*x - $0.015*x
$120 = $0.045*x
$120/$0.045 = x = 2,666.67
Rounding to the next whole number we have x = 2,667
Then, if you plan to use less than x = 2,667, you should buy the second printer because it has a smaller y-intercept.
If you plan to use 2,667 or more, you should buy the first printer, because it has a smaller slope.
If you want to learn more, you can read
https://brainly.com/question/21107621
Select the correct solution for 8x = 56.
O A. X= 1/7
O B. X = 48
O c. x = 64
O D. x = 7
Answers
^70 POINTS
can someone help me with this i rlly need it
The length of a rectangle is 1 inch less than twice its width, and its perimeter is 40 inches. Find the width of the rectangle.
7 in.
13 in.
14 in.
If the second equation is multiplied by 5 and then the equations are added, the result is _____.
x + 5y = 3
2x - y = -2
9x = 13
11x = -7
9x = -7
For the following system, use the second equation to make a substitution for x in the first equation.
x + 3y = 5
x + 7 = 2y
What is the resulting equation?
2y + 2x + 3y = 5
2y + 7 + 3y = 5
2y - 7 + 3y = 5
Graph the following system of equations. Click on the graph until the correct one appears.
y > -x + 1
y ≤ 2x - 3
Find A B if A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10}.
{6}
{2, 3, 4, 6, 8, 9, 10, 12}
Choose the correct mathematical translation for the given statement.
She is at most twenty years old.
x 20
x ≥ 20
Answers
Answer:
1) 7 in
2) 11x=-7
3)2y - 7 + 3y = 5
4) i DONT'KNOWN
Step-by-step explanation:
1)
step 1
the length of the rectangle is 1 inch less than twice its width ( in other words , you have to subtract 1 to twice the width to get the length)
Let
L represents the length
W represent the width
Hence
Twice width= 2w
Now , replace
L=2w-1 equation (1)
Also
The perimeter =40 inches
[tex]perimeter= 2(L+W) 40=2(L+W) equation (2)[/tex]
Step 2
Solve for w
Replace equation (1) in equation (2)
[tex]40=2(L+W) equation (2)\\40=2((2W-1)+W)\\40=2(3W-1)\\40=6W-2\\Add 2 in both sides\\40+2=6W-2+2\\42=6W\\Divide both sides by 6\\\frac{42}{6}=\frac{6W}{6} \\7=W[/tex]
so ,the width is 7 in.
2) Given the equations
[tex]x+5y=3\\2x-y=-2[/tex]
The first step is to multiply the second equation by 5 (both sides of the equation)
[tex]5(2x-y=-2)\\5(2x-y)=5.(-2)\\5.2x-5.y=-10\\10x-5y=-10\\[/tex]
Next is to add both equations
x+5=3 +10x-5y=-10 = 11x+0y=-7
The result is 11x=-7
3)[tex]x+3y=5\\x+7=2y[/tex]
To make a substitution for x using the second equation in the first equation you :
1. solve for x the second equation
Subtract 7 in both sides of the equation:
[tex]x+7-7=2y-7\\x=2y-7\\[/tex]
2.Substitute the x in the first equation for the value of x you get in step 1 :
[tex]2y-7+3y=5[/tex]
PLEASE MARK ME AS BRAINLIEST
Combining Like Terms
-4x - 2 + 5x = -4
I know the answer is -2 but I don’t know how to get -2
Answers
x-2=-4
+2. +2
x=-2
hope this helps!
The system of equations id graphed on the coordinate plane.
y=4x +3
y=-X-2
Enter the coordinates of the solution to the system of equations
in the box
Answers
Answer:
;~; ...................IMA FAILL ;;;;;;;;;;----;;;;;;;;;;;;
Please help giving brainiest
Answers
Answer:
(0, -1); maximum
Find the missing angle:
100° 29°
?
A. 60 degrees
B. 55 degrees
C. 51 degrees
D. 90 degrees
Answers
Answer:
c. 51 degrees is the missing angle.
can anyone help please :)
Answers
Answer:
148°
Step-by-step explanation:
the angles are equal
can sum1 do number 3 for me plz i will mark brainliest
Answers
Answer:
Addition-
(9x+27)
Subraction-
(x-63)
Multiplication-
(20x-810)
Division-
(1.25x-0.4)
Step-by-step explanation:
Help and what is function
Answers
Mr. gracia is at Dunkin' Donuts .he has $17.50 in his pocket ,and he buys a sandwich for $2.50 and 5 coffees using cash . Write an inequality to determine the possible cost of each coffee
Answers
Answer:
The coffee is $3 or less
Step-by-step explanation:
Set up an inequality where c is the cost of one coffee:
17.50 [tex]\geq[/tex] 5c + 2.50
Solve for c:
17.50 [tex]\geq[/tex] 5c + 2.50
15 [tex]\geq[/tex] 5c
3 [tex]\geq[/tex] c
So, the coffee is $3 or less
Select all functions from the tables given below that show Y as a function of X.
A.
B.
C.
D.
E.
Answers
Answer: I dunnowhy are you asking me
Step-by-step explanation: the line of the perpendicular angle is non existent
Check ALL of the ratios that are equivalent to 5:8 (Select al that apply) 10:16 8:5 2.5:4 40:25 15 to 24
Answers
Answer:
10 ,16 AND 8
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Which line has a slope of 0.625, and which line has a slope of 1.6?
Explain why the slopes of these lines are 0.625 and 1.6.
Answers
Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b; where y and x are variables, b is the y intercept (i.e. value of y when x is zero), m is the slope of the line.
The slope of a line passing through the points [tex](x_1,y_1)\ and\ (x_2,y_2)\ is:[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let the point where the two lines intersect be the origin (0, 0).
Line 1 passes through (0, 0) and (8, 5). Hence:
slope of line 1 = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{5-0}{8-0} =0.625[/tex]
Line 2 passes through (0, 0) and (5, 8). Hence:
slope of line 2 = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{8-0}{5-0} =1.6[/tex]
Hurry plzzz
How many solutions does this system have?
12x-4y--8
y-3x+ 2
O one
O two
O
an infinite number
no solution
Answers
Step-by-step explanation:
12x-4y=-8y=3x+212x-4(3x+2)=-812x-12x-8=-8
0=0
I think,no solution
6. In a class 85% of the students were present on a
certain day. If there were only 34 students present
on that day, how many students were absent on that
day?
Answers
Answer:
I think it's 6 kids absent
Step-by-step explanation:
Hope this helps
If 3^2+4^2+12^=13^2
Then what is x+(x+1)+___=____
Answers
Answer:
Those are two different questions that aren't related isn't it?
Step-by-step explanation:
I KNOW
work out the surface area of this triangular prism
Answers
A graph of f(x) = 10x2 – 11x – 6 is shown on the coordinate grid. What are the zeros of f(x)?
Answers
Answer:
-2/5 and 3/2
this is the answer for your question i probably send it to late for your answer but i hope it helps
What is the value of 100?
Answers
Answer:
10
Step-by-step explanation:
Means back the numbers into multiples of several small numbers
Like:; 1. We take LCM of 40
Just break into multiples of small number
40= 2×2×2×5
2. We take LCM of 50
50= 5×5×2
So LCM for 100 is 2×2×5×5
after that see the pairs in the LCM like 2×2 or 3×3 or 4×4(same numbers)
Then write the the single number in place of two multipled numbers
Like:; 2×2 is written as 2 // 3×3 is written as 3
So we can write 100 into 2×2×5×5 and then after selecting pairs (2×2)×(5×5)
write pairs in single number 2×5
And so we get 2×5=10
So we find root of 100 that is 10
Find the slope (-5,-6), (3,-3) , (−5,−6), (3,−3)
Answers
Answer:
the slope or gradient is 8/2=4
Im new too this math and i could use a little help !:)
Answers
Answer:
25 degrees
Step-by-step explanation:
A right triangle is considered 90 degrees, so subtract 90 degrees by 65 degrees.
90 - 65 = 25
Hence, angle A equals 25 degrees.
Is 361 rounded to 400?
Answers
Answer
I do not think so.
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
help............please
Answers
Answer:
k=5
Step-by-step explanation:
subtract 14 from both sides
Answer:
19=4+k is easy that means 10-x=100+11 so the answer is 70
Step-by-step explanation:
the sum of three consecutive integers is three times the second integer. show that this is true for the three consecutive integers 7,8 and 9
Answers
Step-by-step explanation:
7+8+9=24
second integer is 8 so 8*3=24
Nancy and bill collect coins. Nancy has x coins. Bill has 9 coins fewer than 5 times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Bill have.
Answers
Answer:
nicee cat
Step-by-step explanation:
The expression 8 + 2x can be written as _____.
4(2 + x)
2(4 + x)
2(4 + 2x)
Answers
Answer: 2(4 + x)
Step-by-step explanation:
i just multiplied across the parentheses. we can rule out the first option, because it would multiply out to be 8 + 4x.
the second option is the one that i calculated second, so i knew that i could rule out the last one my default.
just for kicks, if we multiplied the third option, it would come out to 8 + 4x.
please answer my question I will mark brainliest
Answers
Answer:
Wouldn't it be A because the spinner has a 1/8th of a chance to land on a number
Step-by-step explanation:
whats the quotient of -72 divided by -9?
Answers
Answer:
8
Step-by-step explanation:
9 |08|
72
- 0
72
-
72
00
janelle came to the bat 262 times in 91 games. at this rate, how many times should she expect to have at bat in full season of 162 games?
Answers
Answer:
465 times
Step-by-step explanation:
[tex]r=\frac{262}{91} = 2.87[/tex]
In full season of 162 games
[tex]162r=162(2.87)[/tex] = 465