The vertices of the feasible region of the constraints is (0,2.5)
How to determine the vertices?The constraints are given as:
x + 3y ≤ 6
4x + 6y ≥ 9
x ≥ 0, y ≥ 0
Express the inequalities as equations
x + 3y = 6
4x + 6y = 9
Make x the subject in x + 3y = 6
x = 6 - 3y
Substitute x = 6 - 3y in 4x + 6y = 9
4(6 - 3y) + 6y = 9
Expand
24 - 12y + 6y = 9
Evaluate the like terms
-6y = -15
Divide by 6
y = 2.5
Substitute y = 2.5 in x = 6 - 3y
x = 6 - 3 * 2.5
Evaluate
x = -1.5
So, we have:
(x,y) = (-1.5, 2.5)
Recall that: x ≥ 0, y ≥ 0
This means that the feasible region must have positive coordinates or zero
So, we set x = 0
(x,y) = (0, 2.5)
Hence, the vertices of the feasible region of the constraints is (0,2.5)
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Helpppp I need help
If you can’t really see it,says if
m
A line has a slope of and passes through the point (4, 7). What is its equation in
slope-intercept form?
Answer:
y = (7/4)x + 0
Step-by-step explanation:
yeah-ya....... right?
22% of x is 26.4 Find X
Answer:
x=120
Step-by-step explanation:
this is obtained by finding 22% of x, and equating it to the answer as shown below
x *22/100 = 26.4
22x/100 = 26.4
22x = 2640
x =120
Determine if the two triangles are congruent. If they are, state how you know
Answer:
yes the two triangles are congruent by the SSS theorum.
Step-by-step explanation:
it is given that two of the sides are congruent. they also share a side making that side also congruent. so, all three sides are equal, making the two triangles congruent by SSS/side-side-side theorum.
Which that is that could be represented by the plot chart shown below?
Answer:
24 25 26 27 28 29 30 31 32 33 34
Step-by-step explanation:
determine the intercepts of the line
Answer:
y- (0,2.5) x-(3.5,0)
Step-by-step explanation:
This is because the intercepts of a graph are the points at which a line intersects with a desired axis. So for the Y axis the inercept would be at 2.5 making the y intercept (0,2.5). The same concept is used on the X axis.
I have a red, blue, green, and yellow ball. If I put them all in a bag and pick one ball at a time (putting it back each time), what chance do I have of never picking a red ball, assuming I pick a color 40 times. Write as a decimal/percentage. (20 points! A good answer would be appreciated)
Answer:
Step-by-step explanation:
You have four balls
A draw of blue, green or yellow (3 balls) means success for NOT drawing a red ball
You have a 3 in 4 chance of not drawing a red ball on the first draw.
With replacement, the 3 in 4 chance occurs on every draw
the odds multiply together for each draw.
Chance of not drawing a red ball in 40 tries is (3/4)⁴⁰
or about 1 in 10⁻⁵ or 0.00001
2+6i/2-4i = a + bi What is the value of a? What is the value of b?
[tex]\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1[/tex]
Lella will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $46 and costs an additional $0.14 per mile driven. The
second plan has an initial fee of $51 and costs an additional $0.10 per mile driven
what is the answer to this question?
posted a picture for better understanding:)
Answer:
5
Step-by-step explanation:
Usually, the sequence is [tex]a_{1}, a_{2}, a_{3}, a_{4}, ..., a_{n}[/tex] where n is a postive number.
From the question,
[tex]a_{n} = a_{n-1} - 5[/tex]
if n = 2 ;
[tex]a_{2} = a_{1} - 5[/tex]
[tex]a_{2} = 20 - 5 = 15\\[/tex]
Thus, we got [tex]a_{2} = 20[/tex].
if n = 3 ;
[tex]a_{3} = a_{2} - 5[/tex]
[tex]a_{3} = 15 - 5 = 10[/tex]
Thus, we got [tex]a_{3} = 10[/tex].
if n = 4 ;
[tex]a_{4} = a_{3} - 5[/tex]
[tex]a_{4} = 10 - 5 = 5[/tex]
Thus, we got [tex]a_{4} = 5[/tex].
***There are many ways to solve this question
example:
[tex]a_{n} = a_{n-1} - 5[/tex]
[tex]a_{n} - a_{n-1} = - 5[/tex]
Substitute n with 2, 3, 4
Then, we will get 3 equations.
Sum them up;
We will get
[tex]a_{4}-a_{3}+a_{3}-a_{2}+a_{2}-a_{1} = -15\\a_{4}-a_{1} = -15\\a_{4} = -15+20 = 5[/tex]
The function f(x) is shown graphed below.
The function g(x) is defined by the formula: g(x)=-4f(x)+7
What is the value of g(3)?
The value of g(3) is 11
The function is given as:
g(x) = -4f(x) + 7
Start by calculating f(x) when x = 3
From the graph, we have:
f(3) = -1
So, we have:
g(3) = -4f(3) + 7
g(3) = -4* -1 + 7
Evaluate the product
g(3) = 4 + 7
Evaluate the sum
g(3) = 11
Hence, the value of g(3) is 11
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PLSSS help now!!!!!! Will mark Brainlyest !!!
Answer:
(7, -4)
Step-by-step explanation:
Rotation 180° causes both coordinates to change sign. It is the same as reflection across the origin, or reflection across both the x- and y-axes.
The image point is (7, -4).
I need Help Asapp
Please!!!!!!!!!!!!!!!!!!
Answer:
i know it is C last year i took that quiz and well i studied /j
Step-by-step explanation:
In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
Find the area of the trapezoid if AC = 3, AD = 5.
Answer:
10.5
Step-by-step explanation:
A=a+b
2h=2+5
2·3=10.5
Answer:
solution given:
let's see only in a right-angled triangle Δ ACD.
AC=3 units
AD=5 units
since Δ ACD is a right-angled triangle. It satisfies Pythagoras law
[tex]AD^{2}=AC^{2}+CD^{2}[/tex]
25=9+[tex]CD^2[/tex]
[tex]CD^2[/tex]=25-9=16
[tex]CD=\sqrt{16} =4 units[/tex]
Now
Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]
similarly,
[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]
since AB=CE=2.4 units
Δ ACE is a right-angled triangle. It satisfies Pythagoras law.
[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]
now
area of trapezoid=area ofΔACD+Area of ΔABC
=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]
Step-by-step explanation:
Answer the questions below.
(a) The perimeter of a rectangular field is 276 m.
If the length of the field is 75 m, what is its width?
Width of the field: /m
Answer:
63 m
Step-by-step explanation:
Perimeter is 276, 2L + 2W = 276, so L + W = 138
L = 75
138 - 75 = W
63 m
what is linear independent vector
Find the period of the function y=3/2 tan(1/3^x)
A) π/3
B) π/6
C) 3 π
D) π
I want a way to solve such a problem
Answer:
none of these is the answer
hope it helps you
Step-by-step explanation:
Hope it will help you...
Integer Exponents
#1: Simplify the expression below using properties of exponents. Write your
answer using positive exponents. *
5-2
Answer:
Step-by-step explanation:
5 - 2 cannot be further simplified? No properties of exponents can be used due to already knowing the answer of the top of your head, it could be a mistype though, or I'm just very very d*mb.
Help please , need answer ASAP
Answer:
(fg)(9) = 948
Step-by-step explanation:
(fg)(9) = f(9)×g(9) = (9 +3)(9^2 -2) = (12)(79)
(fg)(9) = 948
The ratio of the distances a driver and a 2-iron will drive a
golf ball is 5 to 4. If a golfer averages 240 yards with a 2-
iron, how far should she average with a driver?
The average distance is 300 yards
How to determine the average distance?The ratio is given as:
Driver : 2-iron = 5 : 4
When the iron driver is 240 yards, we have:
Driver : 240 = 5 : 4
Express as fraction
Driver/240 = 5/4
Multiply both sides by 240
Driver= 300
Hence, the average distance is 300 yards
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can someone help plz I need help ASAP!
Answer:
[tex]y= \frac{1}{3}x -9[/tex]
Step-by-step explanation:
First you must substract -5 to both sides
-5-4= -9
[tex]y= \frac{1}{3}x -9[/tex]
Need help asap algebra 1
Answer:
Charlie is walking to the stadium. He has to wait for the traffic to stop, so he can cross the street. The light turns red and he is able to cross. He makes it to the stadium.
Step-by-step explanation:
hope this helps!!
Answer:
Charlie began walking and continued at a speed of 4 mph for 24 minutes. Then he stopped walking and took an 8-minute rest. He then walked for 16 minutes at a constant speed of 4 mph. Finally, Charlie slowed his pace down but kept walking for another 16 minutes.
14. Provide a written description of the complement of the given event.
of ten adults, at least one of them has high blood pressure.
None of the adults have high blood pressure.
At most one of the adults has high blood pressure.
All of the adults have high blood pressure.
Nine of the adults have high blood pressure
Answer:
At most one of the adults has high blood pressure.
Step-by-step explanation:
Who are you favorite male country singers?
Answer:
kanye west
Step-by-step explanation:
PrOblem 1: Find the slope of the line containing the points: (3,-5) and (-1, -2)
Problem 2: Find the x and y intercepts of the line: 2x – 3y = 12
Problem 3: Graph the line x-4y=8
Answer:
1) -3/4
2) (6, 0), (0, -4)
3) connect (0,-2) and (8,0) together
Step-by-step explanation:
1) (-2) - (-5) / (-1) - 3 = -3/4
2) x = 0 -3y=12 y = -4, y= 0 2x = 12 x = 6, x intercept = (6, 0) y intercept = (0, -4)
3) x - 4y = 8 this could be written as y = x/4 - 2 and y intercept is (0, -2) and x intercept is (8, 0) so connect these points together and make a line
#1
m=y2-y1/x2-x1m=-2+5/-1-3m=3/-4#2
Inetercept form x/a+y/b=1
2x-3y=122/12x-3/12y=12/12x/6-y/4=1x inetercept at 6 and y intercect at -4
#3
Graph attached
At Howard High School, 6% of the students ride bikes to school. If 950 students attend Howard High School, how many students ride a bike to school?
I need the answer like rn...
Answer:
19 students ride a bike to school
help me plz ineed help
Answer:
23°
Step-by-step explanation:
Opposite angles so:
60° = 2x + 14
Therefore:
x = 23°
Answer:
x is 23°
Step-by-step explanation:
those opposite angles and are always equal to each other...so to get x take 60-14 then answer divide by two
Ashleigh bought 5 chocolate eggs for $1.00 EACH and a
basket for $1.79. How much did she spend?
Answer:
The answer is 6.79 dollars
Step-by-step explanation:
The answer is 6.79 dollars because 5 times 1 (she bought 5 eggs for 1 dollar each) + the added basket 1.79 equals $6.79
A firm has the following fixed proportion production function q = min(k, 2l). a. Find the firms long-run total, average, and marginal cost functions. b. Suppose that k is fixed at 20 in the short run. Calculate the firms short-run total, average, and marginal cost functions. c. Suppose v = 1 and w = 3. Calculate this firms long-run and short-run average and marginal cost curves. Q4. A firm’s production function is given by q = 2z1 + 3z2. Given the input prices, w1 for z1 and w2 for z2. a. Find the input demands z1 and z2 minimizing the cost of producing the level of output q. b. Find the cost function for producing the level q.
Answer:
I think its right
Step-by-step explanation:
a) In the long run, we have, 5k=10 and k=2l Thus, C=2l+3l= 5l=0.5q Thus, AC=5l/10l =0.5 MC=0.5 b) In the short run, k=10 Q=min(50,10l) If l<5, q=10l. C=10+3l= 10+0.3q Thus, AC=10/q + 0.3 If l>5, q=50. C= 10+3l AC= (10+3l)/50 If q>50, then MC...