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dalvyx [7]
2 years ago
14

For each of the regions D in R^2 below, fill in the blank so that the statements are true:

Mathematics
2 answers:
Dmitrij [34]2 years ago
8 0

Answer:

b. might or might not

Step-by-step explanation:

For each of the regions D in R^2 below, fill in the blank so that the statements are true: <u>might or might not</u>

andrey2020 [161]2 years ago
7 0

Answer:

b. might or might not

Step-by-step explanation:

Theorem:

If f is a continuous function in a bounded interval, it must have an absolute maximum.

In this question:

The interval is  2x^4+6y^2 >= 152, which goes to infinite, meaning it is not bounded, and so the function might or might not have an absolute maximum, and the correct answer is given by option b.

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The hike to the campsite is 4 km long if we take turns carrying the tents for 4/5 of a kilometer meter how many times will the t
andrey2020 [161]
Total Distance = 4km

Each person takes 4/5km

Calculate the number of times the tent has to change hands:

4 \div  \dfrac{4}{5} =  \dfrac{4}{1} \times  \dfrac{5}{4} = \dfrac{5}{1} = 5

\boxed {\boxed { \text {Answer: The tent will have to change hands 5 times.} } \\  \\ }
6 0
3 years ago
Read 2 more answers
Find the discriminant, and determine the number of real solutions. then solve x^2 +8x+20=0
vodomira [7]

Answer:

Part 1) The quadratic equation has zero real solutions

Part 2) The solutions are

x_1=-4+2i   and x_2=-4-2i

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}+8x+20=0  

so

a=1\\b=8\\c=20

The discriminant is equal to

D=(b^{2}-4ac)

If D=0 -----> the quadratic equation has only one real solution

If D>0 -----> the quadratic equation has two real solutions

If D<0 -----> the quadratic equation has two complex solutions

<em>Find the value of D</em>

D=8^{2}-4(1)(20)=-16 -----> the quadratic equation has two complex solutions

<em>Find out the solutions</em>

substitute the values of a,b and c in the formula

x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(20)}} {2(1)}

x=\frac{-8(+/-)\sqrt{-16}} {2}

Remember that

i=\sqrt{-1}

x=\frac{-8(+/-)4i} {2}

x_1=\frac{-8(+)4i} {2}=-4+2i

x_2=\frac{-8(-)4i} {2}=-4-2i

8 0
3 years ago
157 29 Marks
AlekseyPX

Complete question :

Put these fraction in order of size smallest to largest : 7/10, 2/3, 4/5, 11/15

Answer:

2/3, 7/10, 11/ 15, 4 /5

Step-by-step explanation:

In other to make solving the question easier, we can convert the fractions to decimal in other to make comparison easier :

7/10 = 0.7

2/3 = 0.667

4 /5 = 0.8

11 /15 = 0.733

Using the placement or how the numbers will appear to the right of a number line ;

0.667, 0.7, 0.733, 0.8

Thus we have :

2/3, 7/10, 11/ 15, 4 /5

3 0
3 years ago
Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5).
Ghella [55]

Step-by-step explanation:

fill in the missing fraction parts

4 0
2 years ago
Factor out the greatest common factor 30c-45d
olga nikolaevna [1]
Simplifying
30c + -45d

Factor out the Greatest Common Factor (GCF), '15'.
15(2c + -3d)

Final result:
15(2c + -3d)
7 0
3 years ago
Read 2 more answers
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