Given the system of constraints name all vertices. Then find the maximum value of the given objective
x≥0
y≥0
y≤ 1/3x+1
5≥y+x
Objective function C = 7x-2y
Answer:
[tex]35[/tex]
Step-by-step explanation:
The constraints are
The red line represents the function
[tex]y\leq \dfrac{1}{3}x+1[/tex]
At [tex]y=0[/tex]
[tex]0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3[/tex]
At [tex]x=0[/tex]
[tex]y=0+1\\\Rightarrow y=1[/tex]
Two points are [tex](-3,0),(0,1)[/tex]
The blue line represents the function
[tex]5\geq y+x[/tex]
at [tex]y=0[/tex]
[tex]5=x[/tex]
at [tex]x=0[/tex]
[tex]y=5[/tex]
Two points are [tex](5,0),(0,5)[/tex]
The other two constraints are [tex]x\geq 0[/tex], [tex]y\geq 0[/tex]. So, the point has to be in the first quadrant
From the graph it can be seen there are two points where the function will be maximum let us check them.
[tex](3,2)[/tex]
[tex]7x-2y=7\times 3-2\times 2=17[/tex]
[tex](5,0)[/tex]
[tex]7x-2y=7\times 5-2\times 0=35[/tex]
So, the maximum value of the function is [tex]35[/tex].
Write the mixed number as an improper fraction.
23/4 =
Answer:
Improper fraction: 23/4
Mixed number: 5 3/4
Answer:
5 3/4
Step-by-step explanation:
how many times does 4 go into 23? well 4×5=20, which seems like too little, so we'll try 4×6=24,
but that's too much so were sticking with the 5. So 5 is the first number
then since 4 times 5 is 20. but you have 23, there are 3 extra numbers
So you make them into a fraction: 3/4
So the answer is 5 3/4
also 23/4 is the improper fraction, 5 3/4 is the mixed number
Alex conduct an experiment with a spinner he recorded the frequency of each spin landing on letters A through D in the table. based on the data in the table what is the experimental probability that the next spin will land on letter B? A. 4/15 B. 1/5 C. 1/4 D. 3/10
Answer
3/10
Step-by-step explanation:
Over what interval does this function remain constant? Do not use any spaces in your interval.
Answer:
We conclude that the function remains constant over the interval [0, 2].
Step-by-step explanation:
We know that if x increases from left to right and y remains constant, the function remains constant over a certain interval.
From the given graph below, it is clear that from x = 0 to x = 2 the value of y does not change.
In other words, the value of y remains constant from x = 0 to x = 2.
i.e.
at x = 0, y = 5
at x = 1, y = 5
at x = 2, y = 5
Therefore, we conclude that the function remains constant over the interval [0, 2].
Whoever answers number 1 and 2 gets brainliest!! :)
Answer:
1: Yes they are both equivalent because 48/8 is 6 and 24/4 is 6.
2: They would score 750 points because you divide 150 by 3 and get 50, then you multiply 50 by 15 and get 750!
Step-by-step explanation:
Historically, only 35% of applicants for a statistical programming internship at a large pharmaceutical company have previous experience with the necessary software. Assume that applicants are selected at random and interviewed sequentially. What is the probability it takes exactly four interviews to find the first applicant with previous experience
The probability that takes exactly four interviews to find the first applicant with previous experience will be 0.3845.
What is binomial distribution?Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as
[tex]\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}[/tex]
At a big pharmaceutical company, historically, just 35% of applicants for an internship in statistical programming had prior computer software experience. Assume that candidates are chosen at random and questioned one at a time.
p = 0.35
Then the probability is given as,
P = ⁴C₁ x (0.35)¹ x (1 - 0.35)³
P = 0.3845
The probability that takes exactly four interviews to find the first applicant with previous experience will be 0.3845.
More about the binomial distribution link is given below.
https://brainly.com/question/14565246
#SPJ2
What is the slope of the line that passes through the points (-3, -3) and (-9,5)?
Write your answer in simplest form.
Answer:
our search - What is the slope of the line that passes through the points (-3, -3) and (-9,5)? Write your ... - did not match any documents.
Suggestions:
Make sure that all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
Step-by-step explanation:
Find the missing angle measure (?). Round to the
nearest whole number.
47
24
Answer:
50 degrees
Step-by-step explanation:
Triangle = 180
180 - 90 = 90
? = 50 degrees
i givvveee brainlilsttttyt
Answer:
5, -5
Step-by-step explanation:
Answer:
vb cvncv xvc xv xzz xcf gv
Step-by-step explanation:
gh hg ghghbgvnghnk/.kl.ghn nb yhgkuylh89gmndfnuyhfgmdtym bh
PLEASE HELP!!! 20 POINTS AND WILL MARK BRAINLIEST
[A] state which becomes progressively more and more a unity will cease to be a state at all. Plurality of numbers is natural in a state; and the further it moves away from plurality towards unity, the less of a state it becomes.
Aristotle believed that the citizens of a successful state must
share the same beliefs.
follow the leadership of a dictator.
hold annual elections.
allow for a diversity of opinions.
Answer:
allow for a diversity of opinions
Step-by-step explanation:
HELP ME PLEASE!!!! DUE TODAY!
Answer:
it is b
Step-by-step explanation:
what is 9*10^97 helppppppppppppppppppppppppppp
Answer:
9e+97
Step-by-step explanation:
does anyone here know a guy named Connor this account on brainly starts with an r or w
Answer: are you ignoring me
Step-by-step explanation:
Please help im cluelessss
Answer:
The expression can be rewritten by combining like terms such as:
[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]
Step-by-step explanation:
Like term:
We know that like terms are those terms with:
same variablessame exponentsFor example,
2x and 4x are the like terms. Both have the same variables and the same power of the variable.
Similarly, 2x³ and 4x³ are like terms. Both have the same variables and the same exponents of the variables.
Please note that the like terms may have different coefficients of the variables.
NOW, REWRITING THE EXPRESSION BY COMBINING LIKE TERMS
Given the expression
[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)[/tex]
Here in the parentheses:
2/3y, 1/3y, and 9y are like terms.5 and 7 are like terms.as
2/3y + 1/3y - 9y = y - 9y = -8y-5-7 = -12Combining like terms in the parentheses
[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]
Therefore, the expression can be rewritten by combining like terms such as:
[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]
what is 1000×80,000 in stuck on this
Answer:
80,000,000
Step-by-step explanation:
I need this ASAP HELP
Answer:
Srry I can't help
Step-by-step explanation:
i cant reallly see so yh
Step-by-step explanation:
PLS HELP THIS IS DUE IN 10 MINUTES ASAP
Answer:
2) A.[tex]\frac{14+x}{5}[/tex]
3) B. [tex]4(\frac{11}{x} )[/tex]
Step-by-step explanation:
IS (1, 2) of a solution set of x+ y = 3 and 2 x + 7 y = 16 ?
Answer:
yes
Step-by-step explanation:
x=3-y
2(3-y)+7y=16
6-2y+7y=16
5y=10
y=2
x=3-2=1
Mr. Brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. He has drawn a sketch on a coordinate grid.
He has the lower vertices of the sign at (9,-3) and (-6, -3). Where would the upper vertices be on the grid?
Answer:
(9,2) and (-6,2).
Step-by-step explanation:
Rectangular Coordinates
The lower vertices of a rectangular welcome sign in Mr. Brettler's gym are (9,-3) and (-6,-3).
Note these two vertices are 3 units below the x-axis. We know the sign is 5-foot tall, so the y-coordinates of the two upper vertices should be -3+5=2.
The upper vertices of the sign on the grid are (9,2) and (-6,2).
The face of a lamp shade is shaped like a trapezoid. The dimensions of the face are shown in the diagram.
six inches.....y inches....x inches....10 inches.....y inches...
Which equation can be used to find A , the area of the face of the lamp shade in square in
You are in charge of purchasing paper for the City of Fairfield. You want to show the mayor how much paper the city used in the past. Approximately how much more did the city budget for paper in 2015 than in 2011?
Answer:
0.2 million
Step-by-step explanation:
Find an exact value.
sine of negative eleven pi divided by twelve.
A. square root of six plus square root of two divided by four.
B. negative square root of six minus square root of two divided by four.
C. square root of two minus square root of six divided by four.
D. square root of six minus square root of two divided by four.
Answer:
(√2 - √6) / 4
C. square root of two minus square root of six divided by four.
Step-by-step explanation:
sine of negative eleven pi divided by twelve.
We have :
sin(-11π/12)
sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)
sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)
Recall:
Angle difference formula:
sin(A - B) = sinAcosB - sinBcosA
Hence,
sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)
From trigonometry:
sinπ/3 = √3/2
cos5π/4 = -√2/2
sin5π/4 = -√2/2
cos π/3 = 1/2
(√3/2) (-√2/2) − (-√2/2) (1/2)
-√6/4 - -√2/4
-√6/4 + √2/4
√2/4 - √6/4
(√2 - √6) / 4
A family went on vacation and used 45.3 gallons of gasoline to travel 150 miles. How many total gallons of gasoline will they need to travel 200 more miles?
a.) 15.1 gallons
c.) 60.4 gallons
b.) 90.6 gallons
d.) 105.7gallons
Answer:
d) [tex]105.7\ \text{gallons}[/tex]
Step-by-step explanation:
[tex]150\ \text{miles}[/tex] requires [tex]45.3\ \text{gallons of fuel}[/tex]
[tex]1\ \text{mile}[/tex] requires [tex]\dfrac{45.3}{150}\ \text{gallons of fuel}[/tex]
[tex]200\ \text{miles}[/tex] requires [tex]200\times \dfrac{45.3}{150}=60.4\ \text{gallons of fuel}[/tex]
So, total amount of gasoline required for the trip is [tex]60.4+45.3=105.7\ \text{gallons}[/tex].
Please help me solve it
Answer:
The Answer for 12 x 20 is 240 if this helps there was not much info you gave me to do this sorry if this is not your question or answer
Step-by-step explanation:
Mark Me Brainliest Please
wendy jogs every three days and xue jogs every four days. if today is a wednesday and wendy and sue both jog today, in how many days will they both jog again on the same day of the week which day of the week will it be
Answer:
Monday
Step-by-step explanation:
Given
[tex]Wendy = 3[/tex]
[tex]Xue = 4[/tex]
[tex]Today = Wednesday[/tex]
Required
Determine when next they will jog together
First, we calculate the L.C.M of the days they jog:
[tex]3 = 1 * 3[/tex] --- Wendy
[tex]4 = 1 * 2 * 2[/tex] ---- Xue
[tex]LCM = 1 * 3 * 2 * 2[/tex]
[tex]LCM = 12[/tex]
This means that they meet on the 12th day; The 12th day after a Wednesday is Monday.
Hence, they will meet on a Monday
what is negative 56 divided by -7
A carpenter is making a ramp for a ski jump.
The ramp is made from a 25 ft. board titled at
a 30° angle from the ground. Approximately
how far off the ground is the end of the ramp?
Answer:
12.5 ft
Step-by-step explanation:
To solve this, we would be applying Pythagoras theorem to it.
Assuming that our given angle is the hypotenuse. Since it says it's closer to the elevated angle. Then, we're looking for a side, A, which is on the opposite side of the angle in the question.
Using sine rule, we know that
Sin 30 = x/25
x = 25 sin 30
x = 25 * 0.5
x = 12.5 ft
Therefore the answer is 12.5 ft
Find the length of the missing side.
Answer:
5
Step-by-step explanation:
12x12-13x13=b2
144-169=b2
25
[tex]\sq\sqrt25\\[/tex]=5
Can the sides of a triangle have lengths 5, 12, and 17?
Answer:
well it can have 5 and 12
what is 3,317.88➗6 equal
Answer:
552.98
Step-by-step explanation:
using a calculator
Answer:
It equals 552.98
Step-by-step explanation: