Solve graphically: 2x - y = 7 and x - 2y = 5.
Answers
Answer:
(3, - 1)
Step-by-step explanation:
We want to solve the system of equations:
2*x - y = 7
x - 2*y = 5
graphically.
To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:
y = -7 + 2*x
y = -(5/2) + x/2
Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.
Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.
Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)
Related Questions
given the figure below find the value of x and z
Answers
Answer: X is do it yourself and y is do it yourself X is do it yourself and y is do it yourself
Step-by-step explanation:
Lolol
Find x.
[tex] \frac{x}{x + 7} = \frac{16}{22} [/tex]
The equals is for proportionate I couldn't find the symbol for it.
Answers
According to the property of proportions,
Product of means = Product of extremes
x and 22 are extremes. (x + 7) and 16 are means.So, simply we did cross multiplication.
Step-by-step explanation:
56/3 is the answer. Refer to the attachment for the solution. :)
Dr. Porterfield has a choice of bread (pink, purple), meat (ham, turkey, beef) and Cheese (American, Swiss, Portugues, Japanese) at a sandwich shop. What is the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese
Answers
Answer:
The probability is 0.08[tex]\overline 3[/tex]
Step-by-step explanation:
The choice of bread Dr Porterfield has = Pink, purple
The number of types of breads = 2
The choices of meat = Ham, turkey, beef
The number of types of meat = 3
The choice of cheese = American, Swiss, Portuguese, Japanese
The number of types of cheese = 4
The probability of selecting purple bread from pink or purple = 1/2
The probability of selecting beef or turkey from the 3 choices of meat = 2/3
The probability of selecting Japanese cheese from the fourvtypes of cheese = 1/4
Therefore, the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese = (1/2) × (2/3) × (1/4) = 2/24 = 1/12 = 0.08[tex]\overline 3[/tex]
Rosc has $500 in her savings account. She carnis simple interest at 5%
Calculate the interest she carnis after two year.
<
A
B. ss0
CLS250
D. $500
O
A
OB
Answers
Answer:
50
Step-by-step explanation:
I assume you are asking how much she EARNS after 2 years.
500x.-5=25 interest per year
25 x 2 years = 50 interest for 2 years.
Write a short para based on how the pandemic has affected travelling.
Answers
Answer:
Unlike many of history’s great tragedies, the coronavirus pandemic never stunned us with one catastrophic event. Instead, the deadly problem quietly snaked its way around the world, devastating millions as it grew into a global health crisis since it first surfaced in November.
Our realities shifted slowly at first, and before we knew it, the coronavirus took over completely.
As we closed borders, canceled events and self-quarantined at home on a mass scale, the travel industry, as well as most other sectors, began to nosedive. The collective effort to save lives meant economic catastrophe for an industry that profits from people leaving their houses.
The wound inflicted by the pandemic on the travel industry is deep, and it hasn’t stopped bleeding yet.
In a May 20 call with analysts, Royal Caribbean Cruises chief executive Richard Fain recalled how drastically travel changed after the 9/11 terrorist attacks — and how the “new normal” eventually just became normal. He expects to see a similar phenomenon in the post-coronavirus world.
sorry it didnt let me send it so i took a lictire of it stay safe out there in the world wherever you are to let you know god is with you all the time if your in fear pray to him and he will take the fear away from you. anyways, stay safe and love you all!❤
Find the volume of a sphere that has a radius of 6 in
Answers
Answer:
volume = 904.78 cubic inch
Step-by-step explanation:
[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6 \times 6 \times 6 = 904.78in^3[/tex]
Answer:
904,32 in³
Step-by-step explanation:
The formula for finding the volume of a sphere with given radius is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
You simply substitute r³ with 6³:
[tex]V=\frac{4}{3} \pi 6^3[/tex]
Now you multiply 4/3 * 3,14 (pi) * 216 = 904,32 in³
90%in the SIMPLEST form
Answers
Answer:
[tex]90\% = \frac{90}{100} \\ = \frac{9}{10} = 0.9[/tex]
Answer:
The simplest form of
90/100
is
9/10
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 90 and 100 is 10
Divide both the numerator and denominator by the GCD
90 ÷ 10
100 ÷ 10
Reduced fraction:
9
10
Therefore, 90/100 simplified to lowest terms is 9/10.
WHich of the following has the steepest slope?
a. y = -4x + 1
b. y = 2x + 3
c. y = x+6
d. y = -3x - 4
Answers
Answer: Choice A)
y = -4x+1
=======================================
Explanation:
The general format of a linear equation can be written as y = mx+b
m = slope
b = y intercept
The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.
Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answers
Answer:
Look below
Step-by-step explanation:
Ok Just Plug it in
For the chart
1:8
2:9
3:10
4:11
And then graph on desmos
You should the answer
Sorry if I am wrong.
Answer:
second graph
Step-by-step explanation:
When x=1,
y=1+7=8
When x=2,
y=2+7=9
When x=3,
y=3+7=10
When x=4,
y=4+7=11
help me on this question
Answers
Answer:
x = 8
Step-by-step explanation:
It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.
30 ÷ 25 = 1.2
Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;
1.2 (35) = 4x + 10
Simplify,
42 = 4x + 10
Inverse operations,
42 = 4x + 10
32 = 4x
8 = x
Answer:
Step-by-step explanation:
Use proportions to solve this and the similarity from smaller side to corresponding larger side:
[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:
1050 = 25(4x + 10) and
1050 = 100x + 250 and
800 = 100x so
x = 8
When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?
Answers
Answer:
1/3n-3÷6
Step-by-step explanation:
3 is subtraced form 1/3
Answer:
n < 27
Step-by-step explanation:
1/3n - 3
1/3n - 3 < 6
Add 3 to each side.
1/3n - 3 + 3 < 6 + 3
Combine like terms.
1/3n < 9
Divide each side by 1/3.
1/3n ÷ 1/3 < 9 ÷ 1/3
Combine like terms.
n < 27
HELPP..........anyone
Answers
Answer:
(12, 12, 156) and (9, 9, 162)Step-by-step explanation:
Since AB = AC and the triangle is isosceles:
∠ABC ≅ ∠ACB3x² - 2x + 4 = 9x - 63x² - 11x + 10 = 0x = (11 ± √(121 - 4*3*10)/6x = (11 ± 1) / 6x = 2, x = 10/6The angles:
m∠B = m∠C = 9*2 - 6 = 12°m∠A = 180 - 2(12) = 156°m∠B = m∠C = 9(10/6) - 6 = 9°m∠A = 180 - 2(9) = 162°1. Factory in Wichita
The cost per unit for Wichita’s factory is graphed as a piecewise function over the domain [0, 35000]. a. Write one or two sentences to describe the cost function for the Wichita factory. (5 points) b. Write the piecewise function for the cost per unit for production of units in the Wichita factory. That is, state the function (), where is the number of units produced. (10 points) c. What is the cost per unit for 35,000 units? (5 points) d. According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem? (5 points) e. Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory. (10 points) ___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___Overtime wages were required to produce at levels above 25,000 units.
2. Factory in Seattle Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and materials, so its cost structure has been affected in several ways. The Seattle plant uses a mix of solar power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, ()is the cost function, where is the number of units produced. The plant’s maximum capacity is 42,000 units
per day.
() = { 0.35 ≤ 8,000
0.75 8,000 < ≤ 20,000
0.83 − ( 200,000) 20,000 < ≤ 42,000
a. Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the axes and any endpoints where the graph breaks. (5 points)
b. Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part. (5 points)
3. Factory in Omaha Omaha’s factory has yet another type of cost structure. Its cost function is provided graphically. Its maximum capacity is 38,000 units per day.
a. At what rate is the cost per unit decreasing for production levels above 12,000?(5 points) b. State the function for the domain over [12000, 38000]. (10 points)
c. What is the cost per unit at the production level of 19,000? (5 points)
Omaha’s city council approved a special growth incentive that decreases the company’s tax burden for production levels above last year’s average. Explain how this is reflected by the Cost Function for Omaha’s factory. 4. Analysis and Making Production Decisions You have now provided your company’s management with powerful tools that model the cost of
Answers
Answer:
According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem?
The per-unit cost will be as follows,
a) Wichita factory has cost function as more up to 25000 units and less for above 25000 units.
b) Piece wise function for cost per units for production of units can be written as
C(x) = cost per unit, will be as follows,
C(x)=1÷x,0 [tex]\leq[/tex] x [tex]\leq[/tex] 25000,
=0.8÷x, 25000 [tex]\leq[/tex] x [tex]\leq[/tex] 35000,
C) cost per unit for 35000 unit
=C(35000)= 0.8÷35000
= 2.28(10⁻⁵)
What is the cost per unit?Cost per unit is referred to the cost of goods sold or the cost of sales, is how much money a company spends on producing one unit of the product they sell.
Thus, the cost per unit will be 2.28(10⁻⁵).
Learn more about cost per unit here,
https://brainly.com/question/13333695
#SPJ2
If you don't do a foreign language class in middle school, in high school will one be given to you? Is it a necessity?
Answers
A Stats test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get exactly 2 questions correct
Answers
Answer:
0.0512
Step-by-step explanation:
Probability of making a correct guess ; p = 1 / 5 = 0.2
q = 1 - p = 1 - 0.2 = 0.8
Number of questions, n = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 3) = 5C3 * 0.2^3 * 0.8^2
P(x = 3) = 0.0512
The function h is defined by
h(x)=x²-2.
Find h(2z)
Answers
Answer:
[tex]h(x) = {x}^{2} - 2 \\ h(2z) = {(2z)}^{2} - 2 \\ = 4 {z}^{2} - 2 \\ = 2( {2z}^{2} - 1)[/tex]
I NEED ANSWERS AND WORK ON THIS ASAP PLEASE!!!!!
Answers
3.) =2±1 4.) v=2 v=6
HELP ASAP
A pair of equations is shown below:
y = 2x + 9
y = 4x − 3
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show the first step you would use. (4 points) Write the solution. (2 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intrsect? Explain your answer. (4 points)
Your answer:
Answers
Answer:
(6,21)
Step-by-step explanation:
Given that,
y = 2x + 9 .....(1)
y = 4x − 3 .....(2)
From equations (1) and (2),
2x + 9 = 4x − 3
Taking variables both sides and constants to another side.
9+3 = 4x-2x
12 = 2x
x = 6
Put the value of x in equation (1).
y = 2(6) + 9
y = 12 + 9
y = 21
The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).
the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME
Answers
[tex]25,28,32,37,43,50,58,67.[/tex]
[tex]\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Find the equation of the circle whose center and radius are given.
center ( 7, -3), radius = 7
Answers
Answer:
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
Answer;
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
need help gotta turn in in 20 minutes!!!1
Answers
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
From the figure we can see that, [tex]\large\bold{3x°}[/tex] & [tex]\large\bold{x + 30°}[/tex] are vertically opposite angles.
⎆ Vertically opposite angles are equal to each other.
____________________
So, equation ⇻ [tex]\large\bold{3x° = x + 30°}[/tex]
____________________
Value of x will be :-
[tex]3x° = x + 30° \\ 3x - x = 30 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
PLS HELPP FIRST TO BE CORRECT WILL GIVE BRANLIEST!!
Answers
Answer:
Step-by-step explanation:
BaF2 + Na2S = 2 NaF + BaS
A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table.
Have a cat
Do not have a cat
Have a dog
Do not have a dog
Have a dog
Have a cat
5
7
6
0
Answers
Answer:
Have a cat Do not have cat
Have a dog 7 5
Do not have a dog 6 0
Step-by-step explanation:
Have a cat Do not have a cat
Have a dog 7 5
Do not have a dog 6 0
How to fill the two-way frequency table?The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.
To learn more about sets, please check: https://brainly.com/question/13192210
Which equation best describes the situation below?
5 less than a number is 15.
Answers
Let the number is X
So the equation will be X-5 = 15
A rug like a rectangle has a width of 3 m . The length of the rug is 2 m greater than its widith . What is the perimeter of the rug in meters
Answers
Answer:
16m
Step-by-step explanation:
Given data
Width = 3m
Lenght = 2+3= 5m
We know that the expression for perimeter is
P= 2L+2W
Substitute
P= 2*5+ 2*3
P= 10+6
P= 16 m
Hence the perimeter is 16m
Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)
Answers
Answer:
B) Maximums: (0, 1), (2π, 1);
Minimum: (π, -3)
Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).
Answers
Answer:
f(2)+g(3) = 5
Step-by-step explanation:
Given that,
f(x) = x² + 2
g(x) = 2-x
We need to find the value of f(2)+g(3).
f(2) = 2² + 2 = 6
g(3) = 2 – 3 = -1
So,
f(2)+g(3) = 6+(-1)
= 5
Hence, the value of the given expression is 5.
Keith played the first 22 minutes of soccer game lohan then replaced him for the rest of half logan started the second half and was replaced by wilson with 18 minutes left in the game if each half is 40 minutes ling how long did logan play during the second half
Answers
Answer:
Logan played for 22 minutes during the second half.
Step-by-step explanation:
Since Keith played the first 22 minutes of a soccer game and Logan then replaced him for the rest of the half, and Logan started the second half and was replaced by Wilson with 18 minutes left in the game, if each half is 40 minutes long To determine how long did Logan play during the second half, the following calculation must be performed:
Second Half Total - Time Played by Wilson = Time Played by Logan
40 - 18 = X
22 = X
Therefore, Logan played for 22 minutes during the second half.
Where do the negatives go on a fraction? Are they allowed to go on the numerator? And what does it mean when this happens?
5
- ——-
2
Answers
Which number is equivalent to 2^3x = 10
Answers
Answer:
5/4
Step-by-step explanation:
see steps below:)