consider the diagram. lines ac and rs are

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is y = ⅔x + 4

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

Equation of the line using point (-7 , 1) and slope 2/3 is

[tex]y - 1 = \frac{2}{3} (x + 7) \\ y - 1 = \frac{2}{3} x + \frac{14}{3} \\ y = \frac{2}{3} x + \frac{14}{3} + 1[/tex]

We have the final answer as

Hope this helps you

Answer:

1. [tex]f(x)=x^{2}[/tex] and [tex]g(x)=-\sqrt{x}[/tex]

2. Vertical Asymptote: x=-4

    Horizontal Asymptote: y=1

    Zeros: (-2,0)

    Because the graph will have a hole at x=-1. This is, the graph is not defined for that particular x-value.

3.  [tex]f(x)=x^{2}+4[/tex]

It has two complex roots, so there is no place in the graph where it crosses the x-axis.

Step-by-step explanation:

1. If we find the composite function f[g(x)] with the functions:

[tex]f(x)=x^{2}[/tex] and g(x)=-x, we will get the following:

[tex]f[g(x)]=(-\sqrt{x})^{2}[/tex]

which simplifies to

f[g(x)]=x

on the other hand, if we find g[f(x)] we will get the following:

[tex]g[f(x)]=-\sqrt{x^2}[/tex]

which simplifies to:

g[f(x)]=-x

2.

Before finding the asymptotes, it's a good idea to factor both the numerator and denominator of the function, so we get:

[tex]f(x)=\frac{x^{2}+3x+2}{x^{2}+5x+4}[/tex]

[tex]f(x)=\frac{(x+2)(x+1)}{(x+4)(x+1)}[/tex]

we can now see that this function can be simplified. It is important to simplify this function so we don't confuse vertical asymptotes with holes in the graph, so when simplifying we get the following:

[tex]f(x)=\frac{x+2}{x+4}[/tex]

now we can set the denominator equal to zero.

x+4=0

and solve for x:

x=-4 this is our vertical asymptote.

For the horizontal asymptote, there is a rule that tells us that if the polynomials on the numerator and denominator have the same degree (the same greatest power), then the horizontal asymptote is found by dividing the lead coefficient of the polynomial on the numerator by the lead coefficient on the denominator. In this case the lead coefficients are 1 and 1 so the horizontal asymptote is:

[tex]y=\frac{1}{1}[/tex]

so the horizontal asymptote is at:

y=1.

The zeros of the function are located at the x-values that will turn the numerator of the simplified fraction equal to zero, so we get:

x+2=0

x=-2

so the only zero will be located at (-2,0)

x=-1 is not a zero because the original function is not defined for x=-1, there is a hole in the graph at this x-value.

Take a look at the graph of the function (See attached picture)

3.

This will happen when there are no real zeros. Take for example the function:

[tex]f(x)=x^{2}+4[/tex]

In this case this problem has 2 non-real zeros:

[tex]x^{2}+4=0[/tex]

[tex]x^{2}=-4[/tex]

[tex]x=\sqrt{-4}[/tex]

so:

x=2i   or   x=-2i

since they are complex numbers they cannot be graphed on a coordinate axis, so the graph will not cross the x-axis. See attached picture.

Answer:

the probability is:

P(A) 2/6 =1/3

Now let's take rolling a prime number:

A prime number is a natural number greater than 1 which can only be divided without a remainder by 1 and itself. So from the numbers on the cube prime numbers are:

2, 3 and 5. The probability of getting a prime number in a single roll is:

P(B) =3/6=1/2

Now to calculate the probability of A and B

you have to multiply both probabilities:

P(A-B)=P(A) . P(B) = 1/3 . 1/2 = 1/6

Step-by-step explanation:)

Answer:

3/14

Step-by-step explanation:

simply  flip the number

Answer:

k=-4

Step-by-step explanation:

[tex]\frac{6}{5} (8*-4+2) = -36[/tex]

Answer:

k = -4

Step-by-step explanation:

6/5 (8k + 2) = -36

5 x 6/5 (8k + 2) = -36 x 5

6(8k + 2) = -180

48k + 12 = -180

48k = -180 - 12

48k = -192

48k/48 = -192/48

k = -4

Answer:

738,378,886

Step-by-step explanation:

1) Add 2+99,999,999 which equals to 100,000,001

2) Then, subtract 100,000,001 with 7 which is 99,999,994

3) Finally, add 99,999,994 with 638,378,892 which is 738,378,886

Hope this helps!

Answer:

Step-by-step explanation:

[tex](3x +1)\cdot 2x - x^2 \cdot 3\\\\=2x\left(3x+1\right)-3x^2\\\\\mathrm{Expand}\:2x\left(3x+1\right):\quad 6x^2+2x\\\\=6x^2+2x-x^2\cdot \:3\\\\\mathrm{Simplify}\:6x^2+2x-x^2\cdot \:3:\\\quad 3x^2+2x[/tex]

2.

[tex](3x + 1)^2\\\\\mathrm{Apply\:Perfect\:Square\:Formula}:\\\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=3x,\:\:b=1\\\\=\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2\\\\\mathrm{Simplify}\:\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2:\\\quad 9x^2+6x+1[/tex]

Answer:

The value is      [tex]y  =  \$ 225[/tex]

Step-by-step explanation:

From the question we are told that

   The amount charge per year is  [tex]k  =  \$ 200[/tex]

   The  number of members it will have at this amount is  [tex]n  =  50[/tex]

   The amount amount increase that will lead to the loss of a single member is   [tex]z =  \$ 5[/tex]

        Generally the total amount the club would obtain from  its members is mathematically represented as

      [tex]I  =  Amount \  due\ paid *  Number \  of members[/tex]

Now let x denote the number of member lost

Hence

      [tex]I  =  (k + zx) (n-x )[/tex]

=>    [tex]I  =  (200 + 5x) (50-x )[/tex]

=>  [tex]I  = 10000+50x-5x^2[/tex]

Thus the number of members that be removed to  give the maximum  income from dues is obtained by differentiating the above equation and equating it to zero

           [tex]\frac{dI}{dx}  =  50-10x[/tex]

=>         [tex] x   =  5[/tex]

So from  [tex]I  =  (200 + 5x) (50-x )[/tex] we have

          [tex]I  =  (200 + 5 (5)) (50-5 )[/tex]

           [tex]I  = \$ 10125 [/tex]

So the amount the club should charge is    

         [tex]y  =  \frac{10125}{50 - 5}[/tex]

         [tex]y  =  \$ 225[/tex]

Answer: Mr. Lee’s entire face crinkles and lights up when he smiles.

Step-by-step explanation:

Mr. Lee’s entire face crinkles and lights up when he smiles. Option C is correct.

Given that,
From the sentences, we have to determine the sentence that emphasizes the engaging details.

Content created by someone who is enthusiastic about the subject they are writing about is the most engaging content. If you write with passion and explain to readers why you are passionate, you might be able to persuade them to love your company as much as you do.

Here,
Option A and Option B is incorrect because the sentence describes different entities over the face.
While in option C engaging sentence the smile tends to bring crinkles and lights up the face.

Thus, Mr. Lee’s entire face crinkles and lights up when he smiles. Option C is correct.

Learn more about engaging sentences here,
https://brainly.com/question/17346475
#SPJ5

Answer:

412,090

Step-by-step explanation:

math+math+brain+school

Answer:

D

Step-by-step explanation:

A rational number will either end or repeat forever like the first three, but the fourth one, pi, will go on forever and never repeat, making it irrational.

Answer: im pretty sure its D. 4

Step-by-step explanation:

Answer:  [tex]\text{Line AE}=\overleftrightarrow{EA},\quad \overleftrightarrow{DA}, \quad \overleftrightarrow{AD},\quad \overleftrightarrow{ED},\quad \overleftrightarrow{DE},\quad \text{line r}[/tex]

               [tex]\text{Segment AE}=\overline{EA}[/tex]

Step-by-step explanation:

The line can be named using ANY two points on the line or using the lower case letter.

The segment can be named by placing the letters in any order.

[tex]\overline{AE}=\overline{EA}[/tex]

Answer:

I think it is the option c.

please mark me as the brainliest answer and please follow me for more answers to your questions.

Answer:

375< y < 525

Step-by-step explanation:

The minimum is 15* 25 = 375

the maximum is 15 * 35 =525

He can earn any amount between these two values

Answer:

120376

Step-by-step explanation:

Primeiro peguei 60x11 e os multipliquei e obtive 660. Em seguida, descobri que 346 ^ 2 é 119716. Somei meus dois números e obtive 120376.

Espero que isso ajude você! :)

Step-by-step explanation:

7 is C. 47.50

8 is B. 5 miles

Hey there! I'm happy to help!

A is -10 and F is -5. To find the number in between two numbers, you add them and divide by 2.

-10+(-5)=10-5=-15

-15/2=-7.5

So, the midpoint is -7.5, which is right in between C and D.

Have a wonderful day! :D

Answer:

33

Step-by-step explanation:

each upper cell is the sum of the two cells under it. For example 4 and 5 make 9 so 16+17=33

Answer:

-3 and 4

Step-by-step explanation:

since they aren't multiplied a variable

Answer: D. A or B depending on the distribution of the sample

Step-by-step explanation:

Given: A question ask about how many hours per week do you watch television?

Total participants = 300

Since all participants are different ,  so have their own answer to this question in numerical terms.

We use proportion or percentage to summarize data if data is categorical, but here data is numerical (continuous).

here , we can use either mean or median ( if it has outliers).

For this we need to check the distribution of the data, if it is normal then Mean, standard deviation, and range would be a better option (as mean is the best measure of tendency)otherwise Median, IQR, and range would be a better option .

hence, the correct option is D. A or B depending on the distribution of the sample

Answe

try asking your techer for help and try divideing

Step-by-step explanation:

Answer:

35-(17)×2

35-34

i think it helps you

☽------------❀-------------☾

Hi there!

~

[tex]35-(9+8)\times 2=[/tex]

[tex]= 35 - (17)(2)[/tex]

[tex]= 35 - 34[/tex]

[tex]= 1[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

x=84

Step-by-step explanation:

144/12 = 60/12 + x/12

12=5+x/12

12-5=x/12

7=x/12

x=84

plyy mark me as brainliest