solve for the variable
7x = 49
-4x= -40
x/2 = 6
x/9 = -2

Answer: 5 1/3

Step-by-step explanation:

Answer:

Part A

Step-by-step explanation:

Answer:

(1-0.01p)/n

Step-by-step explanation:

Mathematically;

Percentage of student playing at least one sport = 100% - Percentage of students playing no sport

Mathematically, that would be;

Percentage playing no sport = 100% - p%

So, to find this in n 7th graders

we have;

(100-p)/100 * n

= 100-P/100n = 1/n - P/100n

= 1/n - 0.01p/n

= (1-0.01p)/n

Answer:

80.5

Step-by-step explanation:

Use both!

You want to minimize P, so differentiate P with respect to x and set the derivative equal to 0 and solve for any critical points.

P = 8/x + 2x

dP/dx = -8/x² + 2 = 0

8/x² = 2

x² = 8/2 = 4

x = ± √4 = ± 2

You can then use the second derivative to determine the concavity of P, and its sign at a given critical point decides whether it is a minimum or a maximum.

We have

d²P/dx² = 16/x³

When x = -2, the second derivative is negative, which means there's a relative maximum here.

When x = 2, the second derivative is positive, which means there's a relative minimum here.

So, P has a relative maximum value of 8/(-2) + 2(-2) = -8 when x = -2.

Answer:

The cheeta is slow, the gazelle

Step-by-step explanation:

The cheeta x2 is 120/8 making the gazelle higher

Answer:

Cheetah

Step-by-step explanation:

One: Cheetah's have always been known as the fastest animals on earth.

Mathematically:

60 / 4 = 15 (cheetah)

100 / 8 = 12.5 (gazelle)

15 is higher than 12.5

Answer:

y = 1

hope that helps you

Answer:

ASA

Step-by-step explanation:

Answer:

1/4 is the simplest form

Step-by-step explanation:

Answer:

MARK ME BRAINLIEST MARK ME BRAINLIEST

MARK ME BRAINLIESTMARK ME BRAINLIEST

9514 1404 393

Answer:

  k = -50

Step-by-step explanation:

The fraction denominators are 5 and 10. The least common multiple of those values is 10. This means we can eliminate fractions by multiplying both sides of the equation by 10:

  6k -50 = 7k

Subtracting 6k from both sides of the equation leaves you with the solution:

  -50 = k

Answer:

$2.10

Step-by-step explanation:

12*5=60

64-60.20=4.20

4.20 is for 2 pens

4.20/2=2.10

=$2.10

9514 1404 393

Explanation:

∠MRQ ≅ ∠NQR . . . . given

QR ≅ RQ . . . . reflexive property

∠PQR ≅ ∠PRQ . . . . property of isosceles triangle PQR

ΔQNR ≅ Δ RMQ . . . . ASA postulate

Answer:

2,752

Step-by-step explanation:

86x32 = 2752

Product: It means to multiply.

Answer:

I believe the estimated product is 2749

Answer:

ddddddddddxdddxsddddddddD

Step-by-step explanation:

i hope it helps you

Answer:

No for both

Step-by-step explanation:

If 2 x values that are the same but different y values for them then its not a function

Answer:

y= -1 , 0 , y = -2

x= 10 , infinity , x = 7

x= -4 , infinity , x= 7

Answer: 25 percent

Step-by-step explanation:

The price of the medicine was increased by 50%.

Given,

The price of some medication was increased from $8 to $12.

We need to find by what percentage the price of the medicine increased.

The formula used is given as:

Percentage increase = [tex]\frac{Final~amount - Initial~amount} {Initial ~amount}[/tex] x 100

Find the initial amount.

= $8

Find the final amount.

= $12

Find the percentage increased.

= ($12 - $8) / $8 x 100

= 4/8 x 100

= 1/2 x 100

= 50%

Thus the price of the medicine was increased by 50%.

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Answer:

t = 15.42 s

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

[tex]y=-16x^2+242x+73[/tex]

We ned to find the time when the rocket will the ground. For this, y = 0

[tex]-16x^2+242x+73=0[/tex]

It is a quadratic equation whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, a = -16, b = 242 and c = 73

[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s[/tex]

Neglecting negative value.

So, it will hit the ground in 15.42 s.

Answer:

t = 15.42 s

Step-by-step explanation:

Answer:

G is the smallest

H is the largest

Step-by-step explanation:

Given

[tex]GH = 21[/tex]

[tex]HJ = 24[/tex]

[tex]GJ = 9[/tex]

Required

Which of the statements is true

First, we need to solve for G, H and J as follows:

[tex]G + H = 21[/tex] --- (1)

[tex]H + J = 24[/tex] --- (2)

[tex]G + J = 9[/tex] --- (3)

Make G the subject in (1)

[tex]G = 21 - H[/tex]

Substitute 21 - H for G in (3)

[tex]21 - H + J = 9[/tex]

Collect Like Terms

[tex]-H + J = 9 - 21[/tex]

[tex]-H + J = -12[/tex]

Make J the subject

[tex]J = H - 12[/tex]

Substitute H - 12 for J in (2)

[tex]H + H - 12 = 24[/tex]

[tex]2H - 12 = 24[/tex]

Collect Like Terms

[tex]2H = 24 + 12[/tex]

[tex]2H = 36[/tex]

Solve for H

[tex]H = 18[/tex]

Substitute 18 for H in [tex]J = H - 12[/tex]

[tex]J = 18 - 12[/tex]

[tex]J = 6[/tex]

Substitute 18 for H in [tex]G = 21 - H[/tex]

[tex]G = 21 - 18[/tex]

[tex]G = 3[/tex]

So, we have that:

[tex]G = 3[/tex]     [tex]J = 6[/tex]     [tex]H = 18[/tex]

Hence, we can conclude that:

G is the smallest

H is the largest

Answer:

 5/14

Step-by-step explanation:

             3--2=5

             6--8=14  

Answer:

[tex]288 {x}^{2} + x + 18[/tex]

Step-by-step explanation:

Ayan po ang answer sana po makatulong

Paki heart nalang po kung nakatulong

#carrying learning

Answer:

Enter a problem...

Algebra Examples

Popular Problems Algebra Find the Asymptotes f(x)=10/(x^2-1)

f

(

x

)

=

10

x

2

−

1

Find where the expression

10

x

2

−

1

is undefined.

x

=

−

1

,

x

=

1

Since

10

x

2

−

1

→

∞

as

x

→

−

1

from the left and

10

x

2

−

1

→

−

∞

as

x

→

−

1

from the right, then

x

=

−

1

is a vertical asymptote.

x

=

−

1

Since

10

x

2

−

1

→

−

∞

as

x

→

1

from the left and

10

x

2

−

1

→

∞

as

x

→

1

from the right, then

x

=

1

is a vertical asymptote.

x

=

1

List all of the vertical asymptotes:

x

=

−

1

,

1

Consider the rational function

R

(

x

)

=

a

x

n

b

x

m

where

n

is the degree of the numerator and

m

is the degree of the denominator.

1. If

n

<

m

, then the x-axis,

y

=

0

, is the horizontal asymptote.

2. If

n

=

m

, then the horizontal asymptote is the line

y

=

a

b

.

3. If

n

>

m

, then there is no horizontal asymptote (there is an oblique asymptote).

Find

n

and

m

.

n

=

0

m

=

2

Since

n

<

m

, the x-axis,

y

=

0

, is the horizontal asymptote.

y

=

0

There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.

No Oblique Asymptotes

This is the set of all asymptotes.

Vertical Asymptotes:

x

=

−

1

,

1

Horizontal Asymptotes:

y

=

0

No Oblique Asymptotes

image of graph

The vertical asymptotes of the given function are x = 1 and x = -1,

We have given the rational function is 10/(x²-1​).

We need to find the vertical asymptotes of this function.

Since Vertical asymptotes occur when the denominator of the function becomes zero and the numerator is not zero.

To determine the vertical asymptotes of the function, we need to solve the denominator for x²-1=0.

x²-1=0

x²=1

x=±√1

x=±1

Therefore, the vertical asymptotes of the given function are x = 1 and x = -1, since the denominator becomes zero at x=1 and x=-1.

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Answer:

D

Step-by-step explanation:

The value of z^3 is option (D) [tex]z^{3}=64 (cos(\frac{3\pi }{2} ) + isin (\frac{3\pi }{2} ) )[/tex] is the correct answer.

A complex number is characterized by an ordered pair of numbers, the real and imaginary parts. It can be represented in multiple ways such as Standard form(rectangular form), Polar form, Exponential form.

For the given situation,

The complex number, z = 4 (cos (pi/ 2) + i sin (pi/2 ) )

[tex]z=4(cos(\frac{\pi }{2} ) + isin (\frac{\pi }{2} ) )[/tex]

⇒ [tex]z^{3}=4^{3} (cos(\frac{\pi }{2} ) + isin (\frac{\pi }{2} ) )^{3}[/tex]

By De Moivre's theorem,

[tex]{\displaystyle {\big (}\cos x+i\sin x{\big )}^{n}=\cos nx+i\sin nx}[/tex]

Thus, [tex]z^{3}=64 (cos(\frac{3\pi }{2} ) + isin (\frac{3\pi }{2} ) )[/tex]

Hence we can conclude that the value of z^3 is option (D) [tex]z^{3}=64 (cos(\frac{3\pi }{2} ) + isin (\frac{3\pi }{2} ) )[/tex] is the correct answer.

Learn more about complex numbers here  

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Answer:

No it is not

Step-by-step explanation:

Plug it in

3 < 2(-2) + 1

3 < -4 + 1

3 < -3

3 is not less than -3

Answer:

Recursive:

[tex]f(1)=4, f(n)=f(n-1)-4[/tex]

Explicit:

[tex]f(n)=4-4(n-1)[/tex]

And the 20th term f(20) is -72.

Step-by-step explanation:

We have the sequence:

4, 0, -4, -8...

Let’s find the recursive and explicit rule for the sequence.

Recursive Rule:

Let’s determine the factor by which the sequence is decreasing by. We see that each subsequent term is 4 less than the previous term. In other words, our common difference is -4.

So, this is a arithmetic sequence.

The standard format for an recursive rule for an arithmetic sequence is:

[tex]f(1)=a , f(n)=f(n-1)+(d)[/tex]

Where a is the initial term and d is our common difference.

From our sequence, we know that our initial term a is 4.

We also determined that our common difference is -4.

Substitute. Hence, our recursive rule is:

[tex]f(1)=4, f(n)=f(n-1)-4[/tex]

Explicit Rule:

The standard format for an explicit rule for an arithmetic sequence is:

[tex]f(n)=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference. So, again, let’s substitute 4 for a and -4 for d. Hence, our explicit formula is:

[tex]f(n)=4-4(n-1)[/tex]

To find f(20), we can use the explicit formula. It is possible to use the recursive formula, but it gets tedious. Therefore, we will substitute 20 for n for our explicit formula:

[tex]f(20)=4-4(20-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(20)&=4-4(19) \\ f(20)&=4-76 \\ f(20)&=-72 \end{aligned}[/tex]

Hence, our 20th term is -72.

Answer:

2/3

Step-by-step explanation: