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3 years ago

Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

Mathematics

1 answer:

Mandarinka [93]3 years ago

6 0

Answer:

the limit does not exist

Step-by-step explanation:

As x approaches π/2 from below, tan(x) approaches +∞. A x approaches π/2 from above, tan(x) approaches -∞. These two limits are not the same, so the limit is said not to exist.

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For a limit to exist, it must be the same regardless of the direction of approach.

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What is the solution of StartRoot x + 2 EndRoot minus 15 = negative 3?

Brilliant_brown [7]

Answer:

x = 142

Step-by-step explanation:

The problem;

$\sqrt{x+2} - 15 = -3$

Inverse operations;

$\sqrt{x+2} -15 = -3\\ +15 +15\\\\\\\\\sqrt{x+2} = 12\\\\$

Now undo the square, by squaring both sides;

$\sqrt{x+2} = 12\\.^{2} \\\\\\ \\x+2 = 144$

Inverse oeprations;

x + 2 = 144

-2 -2

x = 142

8 0

3 years ago

Read 2 more answers

SOMEONE PLEASE HELP ME <br><br> ANYONE WHO HELPS ME GETS ONE HUNDRED POINTS

DerKrebs [107]

Answer:

80 ft²

Step-by-step explanation:

The carpet area will be the area of the pentagon less the 25 square feet taken up by the tree. The area of the pentagon is found by putting the given numbers into the given formula.

pentagon area = 5((7 ft)(6 ft))/2 = 105 ft²

carpet area = 105 ft² -25 ft² = 80 ft²

Peter will need 80 square feet of carpet.

5 0

3 years ago

What is the quotient?

Sergio039 [100]

Answer: FIRST OPTION

Step-by-step explanation:

According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.

Therefore, keeping the property above on mind, you have that the quotient is the shown below:

$\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343$

6 0

4 years ago

In a group of Explore students, 38 enjoy video games, 12 enjoy going to the movies and 24 enjoy solving mathematical problems. O

Elodia [21]

Answer:

The number of students that like only two of the activities are 34

Step-by-step explanation:

Number of students that enjoy video games, A = 38

Number of students that enjoy going to the movies, B = 12

Number of students that enjoy solving mathematical problems, C = 24

A∩B∩C = 8

Here we have;

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) -n(A∩C) + n(A∩B∩C)

= 38 + 12 + 24 - n(A∩B) - n(B∩C) -n(A∩C) + 8

Also the number of student that like only one activity is found from the following equation;

n(A) - n(A∩B) - n(A∩C) + n(A∩B∩C) + n(B) - n(A∩B) - n(B∩C) + n(A∩B∩C) + n(C) - n(C∩B) - n(A∩C) + n(A∩B∩C) = 30

n(A) + n(B) + n(C) - 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) + 3·n(A∩B∩C) = 30

38 + 12 + 24 - 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) + 24 = 30

- 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) = -68

n(A∩B) + n(B∩C) + n(A∩C) = 34

Therefore, the number of students that like only two of the activities = 34.

8 0

3 years ago

What is the equation of the graphed line written in standard form?

liraira [26]

Answer:

The last one 5x-3y=15 This is the same as y= (5/3)x -5

Step-by-step explanation:

5x-3y=15

Move 5x to the right (becoming negative)

-3y = -5x +15

Divide everything by - 3

y= (5/3)x -5

y intersect= -5 ( line crosses y coordinate at -5)

Slope = 5/3 From -5 you start counting (5 up,3 right,5 up,3 right.... OR 5 down,3 left,5 down,3 left........)

6 0

3 years ago