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Zigmanuir [339]
3 years ago
13

Please help I don't know how to do this!

Mathematics
1 answer:
netineya [11]3 years ago
5 0
<span>Constraints (in slope-intercept form)
x≥0,
y≥0,
y≤1/3x+3,
y</span>≤ 5 - x

The vertices are the points of intersection between the constraints, or the outer bounds of the area that agrees with the constraints.
We know that x≥0 and y≥0, so there is one vertex at (0,0)
We find the other vertex on the y-axis, plug in 0 for x in the function:
y <span>≤ 1/3x+3
y </span><span>≤1/3(0)+3
y = 3. 
There is another vertex at (0,3)
Find where the 2 inequalities intersect by setting them equal to each other
(1/3x+3) = 5-x          Simplify Simplify Simplify
x = 3/2
Plugging in 3/2 into y = 5-x: 10/2 - 3/2 = 7/2
y=7/2
There is another vertex at (3/2, 7/2)
 
There is a final vertex where the line y=5-x crosses the x axis:
0 = 5 -x , x = 5
The final vertex is at point (5, 0)
Therefore, the vertices are:
(0,0), (0,3), (3/2, 7/2), (5, 0)
We want to maximize C = 6x - 4y.
Of all the vertices, we want the one with the largest x and smallest y. We might have to plug in a few to see which gives the greatest C value, but in this case, it's not necessary. 
The point (5,0) has the largest x value of all vertices and lowest y value.
Maximum of the function:
C = 6(5) - 4(0)
C = 30</span>
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What is the product of the expressions? Assume y ≠0 (2y-1/y^2)(3y^2/7)
Dima020 [189]

Answer:

(6y-3)/7

Step-by-step explanation:

(2y-1/y²)(3y²/7) first simplify 3y²/y² =3

(2y-1)(3/7) =

(6y-3)/7

7 0
3 years ago
1 pol
BigorU [14]
In 3 hours, they could bake 87 birthday cupcakes. If you divid 145 by 5 this gives you 29, and you multiply this by 3 to find how many can be made in 3 hours, which gives you 87:) hope this helps!
8 0
2 years ago
Extra points!! A candle is 17 in tall after burning for 3 hours. After 5
PIT_PIT [208]

Answer:

1) h=-t+20  

2) 12 inches tall.

Step-by-step explanation:

1) The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

In this case:

y=h (The height of the candle in inches)

x=t (The time in hours)

Then, we can rewrite it:

h=mt+b

Based on the information provided in the exercise, the line passes through these points:

(3,17) and (5,15)

Then, we can find the slope of the line with the formula m=\frac{y_2-y_1}{x_2-x_1}:

 m=\frac{15-17}{5-3}=-1

Now we need to substitute the slope and one of the points into  h=mt+b  and then solve for "b":

17=(-1)(3)+b\\\\b=17+3\\\\b=20

Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:

h=-t+20  

2) We must substitute t=8 into the linear equation  h=-t+20 in order to find the height of the candle after burning 8 hours:

 h=-(8)+20\\\\h=12  

4 0
3 years ago
Which pair of numbers is relatively prime?
Evgen [1.6K]

Answer:

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Step-by-step Explanation:

<u>Answer - A</u>

<u />

Two numbers are relatively prime if they have no common factors (aside from 1). So lets solve for the factors of the number to see if they are relatively prime...

A. Relatively Prime 

26=1,2,13,26

99=1,3,9,11,33,99

B. NOT RELATIVELY PRIME

90=1,2,3,5,6,9,10,15,18,30,45,90

117=1,3,9,13,39,117

C. NOT RELATIVELY PRIME

100=1,2,4,5,10,20,25,50,100

202=1,2,101,202

D. NOT RELATIVELY PRIME

201=1,3,67,201

444=1,2,3,4,6,12,37,74,111,148,222,444

- Credit to <em>VenusRetrograde · Ambitious</em> for the answer

<h3>I hope this helps!</h3>

3 0
3 years ago
Read 2 more answers
Write a fraction that is less than 1/3 using 1 as a numerator. Then explain why the answer you chose is less than 1/3.
sammy [17]
1/4, because in 1/3, you would only need 3 parts to get one whole, but in 1/4, you would need 4 parts to get a whole. 
3 0
3 years ago
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