The mean age of 5 people in a room is 31 years.
A person enters the room.
The mean age is now 30.
What is the age of the person who entered the room?​

[tex]\text{ as } x \to \infty, \ f(x) \to \infty\\\\\text{ as } x \to -\infty, \ f(x) \to -\infty[/tex]

In other words, as x gets really large in the positive direction, so does f(x).

As x gets really large in the negative direction, so does f(x). We can see that x and f(x) move in the same direction toward the same type of infinity.

In laymen's terms or in plain English, we can say that "The graph falls to the left and rises to the right". We don't worry about the wiggle motion in the middle, since all we care about is what's going on as x goes to either infinity.

"Falls to the left" means it goes down forever as we move leftward. "Rises to the right" means it goes up forever as we move to the right. This type of behavior of "falls to the left and rises to the right" is indicative of any odd degree polynomial where the leading coefficient is positive. In this case, it appears we're dealing with a cubic function of degree 3.

Answer:

C D and F

Step-by-step explanation:

I checked my answers

Answer:

about 52.1 in.

Step-by-step explanation:

PM=PE=5 inches, PR=4 inches, and OP=19 inches.

Since the figure is a kite, the diagonals ME and OR are perpendicular and form right triangles with their hypotenuses forming the sides of the kite, OM, MR, RE, and EO.

The figure shows the same kite O M R E as in the beginning of the task. Diagonal O R is perpendicular to diagonal M E.

Use the Pythagorean Theorem to calculate the length of OM.

OM=OP2+PM2−−−−−−−−−−√

Substitute 19 for OP and 5 for PM.

OM=192+52−−−−−−−√

=361+25−−−−−−−√

=386−−−√

Therefore, OM=386−−−√ in.

By the definition of a kite, OM≅EO. So, EO is also equal to 386−−−√ inches.

Use the Pythagorean Theorem to calculate the length of MR.

MR=PM2+PR2−−−−−−−−−−√

Substitute 5 for PM and 4 for PR.

MR=52+42−−−−−−√

=25+16−−−−−−√

=41−−√

Therefore, MR=41−−√ in.

By the definition of a kite, MR≅RE. So, RE is also equal to 41−−√ inches.

The figure shows the same kite O M R E as in the beginning of the task. Sides O M and E O are square root of 386 inches long. Sides M R and R E are square root of 41 inches long.

The perimeter of the kite is the sum of the four sides.

Perimeter of OMRE=OM+MR+RE+EO

=386−−−√+41−−√+41−−√+386−−−√

=2386−−−√+241−−√

Use a calculator to approximate.

Perimeter of OMRE≈52.1 in.

So, the perimeter of OMRE is about 52.1 inches.

Therefore, about 52.1 inches of binding are needed to cover the edges of the kite.

Answer:

-3/2

Step-by-step explanation:

Down 3 and right 2 so -3/2

Answer:(0,2) ,(0,1)

0-0=0

1-2=-1

-1/0

not sure bout it

Step-by-step explanation:

Answer:

8.5714285714

Step-by-step explanation:

round as you must

Answer:

8.571

Step-by-step explanation:

600/70

= 60/7 (cancel the zeroes)

= 8.571

Answer:

A

Step-by-step explanation:

The form of the equation is y=mx+b and b is the y-intercept. 4 is in the spot of b

Answer:

96 ft

Step-by-step explanation:

do 10 * 8 + 8 * 2

~~~~~~

Answer:

The answer should be 54, lmk if it works

Answer:

a = 8

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other.

Divide 4 from both sides of the equation:

(4a)/4 = (32)/4

a = 32/4

a = 8

8 is your answer for a.

~

Answer: 35%

Step-by-step explanation:

13+4+3 = 20

20 - 13 =7

7/20 = 35%

Answer:

35%

Step-by-step explanation:

there are 20 pies in all

given:

13- apple

4- pecan

3- pumpkin

question:

percetange of piesbaked today were NOT apple.

solve:

4 + 3 = 7 (pecan and pumpkin)

7 ÷ 20 = .35%

check:

20 × .35= 7 (number of pies which is not apple)

Answer:linear

Step-by-step explanation:

Answer: Linear

Step-by-step explanation:

Answer:

individuacion división como quieras

Answer:

D

Step-by-step explanation:

Answer:

X=180-124

X=56

Bpwxjpwxjwxwx

Answer:

56

Step-by-step explanation:

180 - 124 = 56

Answer:

y =(2/5)x  - 1

Step-by-step explanation:

Slope intercept form: y = mx + b

m is slope and b is y-intercept

y =(2/5)x  - 1

Answer: y = 2/5x - 1

Step-by-step explanation:

b = y1 - m • x1

-1 = -1 -(2/5) • (0)

= -1

y = mx + b

y = 2/5x - 1

Answer:

final for what?

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

Okay since the exterior angles of every polygon is always 360

and this polygon has 40 sides,

360/40=9

180-9=171

Hope This helps

(what grade is this?)

Answer:

[tex]\frac{58}{35}[/tex] is the answer.

Step-by-step explanation:

1) Use this rule: [tex]\frac{a}{b} * c = \frac{ac}{b}[/tex]

[tex]\frac{4}{5} + \frac{3*2}{7}[/tex]

2) Simplify 3 * 2 to 6.

[tex]\frac{4}{5} + \frac{6}{7}[/tex]

3) Simplify.

[tex]\frac{58}{35}[/tex]

Therefor, the answer is 58/35 and if you need it on decimal form it would be, 1.657143.

a)

30.65^2/(2*5.15)=91.2061

d=91.2061

b)i)90

ii) Mathswatch is critical of anything apart from it's system so I dont know what the answer is for this one

Answer and Step-by-step explanation:

The answer that we have agreed upon is answer choice 2, C, A, B.

This is because the first distance is found, and could possibly be the hypotenuse, noted as C, then the other two sides are created, becoming the legs of a triangle, noted as A and B respectively.

I hope this helps and is correct!

#teamtrees #PAW (Plant And Water)

3:45 mate :)

Step-by-step explanation:

60/3=20 +8:05=8:25

+7hrs from 8:25=3:25

3:25+20=3:45

Hope this helps :)

Answer:

3:45

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

For trapezoid DEFG to be isosceles, measures of it's base angles must be equal.

i.e.

[tex] m\angle E =m\angle F[/tex]

[tex] (5x+15)\degree =(7x - 9)\degree [/tex]

5x + 15 = 7x - 9

5x - 7x = - 15 - 9

-2x = - 24

2x = 24

[tex] x = \frac{24}{2} [/tex]

x = 12

Answer:

discriminant:  4; number of real roots:  2

Step-by-step explanation:

The coefficients a, b and c of this quadratic are {-3, -2, 0}.

Thus, the discriminant b^2 - 4ac is (-2)^2 - 4(-3)(0), or 4.

Because the discriminant is positive, this quadratic has two real, unequal roots.

-3p^2 - 2p can be factored as follows:  -p(3p + 2).  If we set this expression equal to zero, we can find the roots:  {-2/3, 0}

Answer:

153

Step-by-step explanation:

break it up in pieces 6x12 + 4x4 + 13x5 = 153

-7 = 1 + 2/3n

Subtract 1 from both sides:

-8 = 2/3n

Multiply both sides by 3:

-24 = 2n

Divide both sides by 2:

N= -12

Answer:

n=-12

Step-by-step explanation:

Okay this isn't to hard first in the equation you must subtract 1 from both sides

So this: -7=1+2/3n

Becomes This: -8=2/3n

Then I divided by 2 on both sides to get:-4=1/3n

Then I multiplied by three to get -12=n

Let me know if you're still confused

Given:

[tex]b(1)=-12[/tex]

[tex]b(n)=b(n-1)\cdot 4[/tex]

To find:

The third term of the sequence.

Solution:

We have,

[tex]b(n)=b(n-1)\cdot 4[/tex]

For n=2, we get

[tex]b(2)=b(2-1)\cdot 4[/tex]

[tex]b(2)=b(1)\cdot 4[/tex]

[tex]b(2)=-12\cdot 4[/tex]              [tex][\because b(1)=-12][/tex]

[tex]b(2)=-48[/tex]

For n=3, we get

[tex]b(3)=b(3-1)\cdot 4[/tex]

[tex]b(3)=b(2)\cdot 4[/tex]

[tex]b(3)=-48\cdot 4[/tex]              [tex][\because b(2)=-48][/tex]

[tex]b(3)=-192[/tex]

Therefore, the 3rd term of the sequence is -192.

Answer:

The elevation is -282

Step-by-step explanation:

if 0 is sea level, then if you go down 282 it would be that

Answer:

A, E

Step-by-step explanation:

A: The angles are opposite (and we know that in parallelograms, opposite angles are congruent.)

E: In parallelograms opposite sides are parallel.