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sveta [45]
2 years ago
11

A professor gives two types of quizzes, objective and recall. He is planning to give at least 15

Mathematics
1 answer:
nadya68 [22]2 years ago
5 0

Answer:

x₁ = 20     x₂ = 0

z (min) = 20

Step-by-step explanation:

According to the problem statement:

Let´s call

Objective quiz =  x₁               Recall quiz =  x₂

First constraint

Quantity of quizzes at least 15

x₁  +  x₂  ≥ 15

Second constraint:

Preparation time   at least 300 minutes, then

15*x₁  +  30*x₂  ≥   300

Third constraint

Average score  at least  85 points

7*x₁  +  5*x₂   ≥  85

General constraint x₁ ≥ 0   x₂ ≥ 0

Objective function z is:

z = 1* x₁ + 1,5*x₂     to minimize

The model:

z = x₁  + 1,5x₂      to minimize

Subject to

x₁  +  x₂  ≥ 15

15*x₁  +  30*x₂  ≥   300

7*x₁  +  5*x₂   ≥  85

Using Atozmax (online solver) we find

x₁ = 20     x₂ = 0

z (min) = 20

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The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?
igor_vitrenko [27]

Answer:

Option D: g = 7 and h = 3

Step-by-step explanation:

The polynomial is;

8x² – 8x + 2 – 5 + x

Simplifying this gives;

8x² - 7x - 3

If this is simplified to 8x² – gx – h

Thus, by comparison of terms;

– gx = - 7x

-x will cancel out to get;

g = 7

Similarly, - h = - 3

Thus,h = 3

Therefore; g = 7 and h = 3

3 0
2 years ago
Help me please ASAP<br><br>- do not put any fake answers.... ty:)))<br><br>​
BartSMP [9]
The answer is 4 and 3. 4 for the x axis and 3 for the y axis
8 0
2 years ago
A car uses 1 gallon of gasoline for every 25 miles driven. At the start of a trip the tank was full of gasoline. After driving 5
dezoksy [38]

Answer:

d = 22 - x / 25

Step-by-step explanation:

The first thing is to calculate the tank capacity, we know that per gallon 25 miles are traveled and at 500 miles there were still two gallons, therefore:

500 miles / 25 miles / gallon = 20

and how there were still 2

20 + 2 = 22

the tank has a 22 gallon capacity

Therefore the equation would be:

d = 22 - x / 25

where x is the number of miles traveled.

for example, if they have traveled 500 miles it would be:

d = 22 - 500/25 = 22 - 20

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we can verify that it is correct because it is what the statement says

8 0
3 years ago
(−8k+1)(−8k+1) standard form
kifflom [539]

Answer:

64k^2 - 16k +1

Step-by-step explanation:

We can rewrite this as

(-8k+1) ^2

We know that (a+b)^2 = a^2 +2ab +b^2

Let a = -8k  and b = 1

(-8k+1) = (-8k)^2 +2*(-8k)(1) + 1^2

           =64k^2 - 16k +1

3 0
3 years ago
Read 2 more answers
Will give brainliest if answer correct// if p(x)= 3x^6 - 5x^5 - x + 7 , then p(2) equals: ??
djverab [1.8K]

\\ \tt\hookrightarrow p(2)=3(2)^6-5(2)^5-2+7

\\ \tt\hookrightarrow p(2)=3(64)-5(32)+5

\\ \tt\hookrightarrow p(2)=192-160+5

\\ \tt\hookrightarrow p(2)=32+5

\\ \tt\hookrightarrow p(2)=37

Option B is correct

4 0
2 years ago
Read 2 more answers
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