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Studentka2010 [4]
4 years ago
9

Find the absolute maximum and minimum values of the function f(x, y) = xy2 − y 2 − x on the region d where d = {(x, y) | x ≥ 0,

y ≥ 0, x2 + y 2 ≤ 9}.
Mathematics
1 answer:
Serjik [45]4 years ago
6 0
Your answer is b because something
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The sum of three consecutive odd integers is at most 123. Find the pair with the greatest sum
galben [10]

Answer:

a1 = 39, a2 = 41, a3 = 43

The pair with the greatest sum is a2 + a3 = 41 + 43 = 84

Step-by-step explanation:

Let the first integer be a1 = a.

Let the second odd integer be a2 = a + 2

Let the third odd integer be a3 = (a + 2) + 2 = a + 4

The sum of three consecutive odd integers is 123.

123 = a1 + a2 + a3

123 = a + (a + 2) + (a + 4)

123 = 3a + 6

117 = 3a

a = 39

a1 = a = 39

a2 = a + 2 = 39 + 2 = 41

a3 = a + 4 = 39 + 4 = 43

The pair with the greatest sum is a2 + a3 = 41 + 43 = 84

4 0
3 years ago
If the 4th term of an A.P is 11 and sum of 4th and 5th term is 25. Find the common difference?​
ira [324]

Answer:

3

Step-by-step explanation:

4th term+5th term = 25

5th term = x

4th term = 11

11+x=25

x=25-11

x=14

5th term= 14

Common difference = 5th term - 4th term

14-11

=3

8 0
4 years ago
Y = 5<br> -2x + y = 5<br> solve by substitution
AURORKA [14]
X=0 hope this helps let me know
5 0
3 years ago
PLEASE HELP! 15 POINTS What are the factors of the expression 4(q−18+p)?
melomori [17]

Answer:

4 and (q − 18 + p)

Step-by-step explanation:

Given:

4(q−18+p)

The factors are

4 and (q − 18 + p)

A factor refers to something which is multiplied by something else. It could be a number, variable, term, or a longer expression.

For example. The factors of the expression 6x(y +2)

are 6, x and (y+2)

7 0
3 years ago
A certain hybrid car can travel 1 4/11 times as far as a similar nonhybrid car can, each one gallon of gasoline. If the nonhybri
stich3 [128]

Answer:

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

Step-by-step explanation:

Suppose, non hybrid car travel "x" distance in 1 gallon of gasoline

then, hybrid will travel " 1 4/11* x" distance in 1 gallon of gasoline

Given that, non hybrid car travel, x = 33 miles per gallon

Then, hybrid car travel, 1 4/11*x = 1 4/11* 33 = 45 miles per gallon

On 1 gallon of gasoline hybrid car travel= 45 miles

On 4/5 gallon of gasoline hybrid car will travel= 4/5*45= 36 miles

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

4 0
3 years ago
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