Explain whether this dilation is an enlargement or a reduction, and how you know. Triangle A B C is enlarged to triangle A prime B prime C prime.

Answer:

g(x) = [tex]\frac{x+3}{x-3}[/tex]

Step-by-step explanation:

From the picture attached,

Given function is,

f(x) = x + 1

We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 = [tex]\frac{2x}{(x-3)}[/tex]

g(x) = [tex]\frac{2x}{(x-3)}-1[/tex]

      = [tex]\frac{2x-(x-3)}{(x-3)}[/tex]

      = [tex]\frac{(x+3)}{(x-3)}[/tex]

Therefore, g(x) = [tex]\frac{x+3}{x-3}[/tex] will be the answer.

Answer:

IL = 11 cm

Step-by-step explanation:

Using the tangent ratio in right triangle IJL and exact value

tan45° = 1 , then

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{IL}{IJ}[/tex] = [tex]\frac{IL}{11}[/tex] = 1 , thus

IL = IJ =  11 cm

Answer:

11 cm

Step-by-step explanation:

Since m<IJL = 45 deg, and m<JIL = 90 deg, then m<ILJ is 45 deg.

That makes triangle IJL a 45-45-90 isosceles right triangle with congruent sides IJ and IL.

IL = IJ = 11 cm

Answer:

155.555555%

4200/2700=1.55555

Step-by-step explanation:

Answer:

9-7= 2

8 / 2 = 4

4 X 9 = 36

4 X 7 = 28

36 students in math class

Answer:

36 students in the math class

Step-by-step explanation:

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

The diagonals of a square cross at right angles. The slope of the other is the negative reciprocal of the slope of the given diagonal:

  -1/(-3) = 1/3

The slope of the other diagonal is 1/3.

Answer:

3125 bacteria.

Step-by-step explanation:

We can write an exponential function to represent the situation.

We know that the current population is 100,000.

The population doubles each day.

The standard exponential function is given by:

[tex]P(t)=a(r)^t[/tex]

Since our current population is 100,000, a = 100000.

Since our rate is doubling, r = 2.

So:

[tex]P(t)=100000(2)^t[/tex]

We want to find the population five days ago.

So, we can say that t = -5. The negative represent the number of days that has passed.

Therefore:

[tex]\displaystyle P(-5)=100000(2)^{-5} = 100000 \Big( \frac{1}{32}\Big) = 3125 \text{ bacteria}[/tex]

However, we dealing within this context, we really can't have negative days. Although it works in this case, it can cause some confusion. So, let's write a function based on the original population.

We know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, our function is:

[tex]P(t)=A(2)^t[/tex]

After 5 days, we reach the 100,000 population. So, when t = 5, P(t) = 100000:

[tex]100000=A(2)^5[/tex]

And solving for A, we acquire:

[tex]\displaystyle A=\frac{100000}{2^5}=3125[/tex]

So, our function in terms of the original day is:

[tex]P (t) = 3125 (2)^t[/tex]

So, it becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.

Answer:

We can express the question in a exponential function

The current population is 100,000.

The population doubles each day.

The exponential function is given by: P(t)=a(r)^t

The current population is 100,000, a = 100000.

The rate is doubling, r = 2.

P(t)=100000(2)^t

As we know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, the function is:

P(t)=A(2)^t

After 5 days, the population reaches 100,000. So, when t = 5, P(t) = 100000:

100000=A(2)⁵

Now solving for A, we get

A=(100000)/(2⁵)=3125

So, the function in terms of the original day is:

P (t) = 3125 (2)^t

Hence, the initial population is 3125 bacteria.

Answer: Listen u are right on 1 and 2 don’t know about 3 but Um the website is incorrect u had 1 and 2 correct so I don’t know

Step-by-step explanation:

Answer:

1.) 22

2.) 122

Step-by-step explanation:

For the first 1, the degrees in a right angle is 90 degrees and if you already have 68 you have to subtract 90-68= 22.

For the second one, an obtuse angle is 180 degrees. If you already have 58 degrees so you have to subtract 180-58= 122 degrees.

The reason you are subtracting is to find the remaining numbers.

Answer:

x=5

Step-by-step explanation:

So first simplify the equation

√5x-6=-1

Add 6 on both sides

√5x=5

now since it being squared with btoh numbers having a 5, x is 5

Answer:

Step-by-step explanation:

[tex] \sqrt{5x} - 6 = - 1[/tex]

[tex] \sqrt{5x} = 5[/tex]

[tex]5x = 25[/tex]

[tex]x = 5[/tex]

Answer:

30 games

Step-by-step explanation:

Also rate me!!!

Answer:

Around 50 games will have to be played.

Step-by-step explanation:

Answer:

I'm pretty sure A is the correct answer :)

(x-2)(x^4+3) is a polynomial

Answer:

3x-15-9x<2x+17(Collect like terms)

-6x-15<2x+17

-6x-2x<17+15

-8x<32

x>-4

Oh nvm, i read the question wrong let me redo that

Answer:

Translation

Step-by-step explanation:

Since the image has stayed the same, just moved down and to the left, the units changed for each coordinate point though, which is what translation is.

Answer:

The remainder is 1.

Step-by-step explanation:

First, you have to find the value of m. With the given information :

m ÷ 6 = 5

m = 5 × 6

m = 30 (no remainder)

if,

m = 30 + 5

m = 35 (with remainder as 5)

Next, you have to substitute m value into the expression, (m+2) ÷ 6 :

(35+2) ÷ 6

= 37 ÷ 6

= 6 1/6 (1 as a remainder)

Answer:

Andre's net worth = $150,128

Step-by-step explanation:

Net worth refers to the difference between total assets and total liabilities.

Therefore, Andre's net worth statement can be constructed as follows:

Andre's Net Worth Statement

Details                                    Amount ($)              Total ($)      

Assets:

Condominium                          145,000

Stock portfolio                             8,300

Car value                                     9,500

Bank account balance               2,600

Total assets                                                              165,400

Liabilities:

Amount owing on car                (3,700)

Student loans                             (7,200)

Credit card balance                   (4,372)  

Total liabilities                                                         (15,272)  

Andre's net worth                                                   150,128    

Answer:

store a

Step-by-step explanation:

at store a you can get 10 apples for 8$

Answer:

Store A

Step-by-step explanation:

In store B 10 apples are $20, you can buy 5 apples for $3.99 so if you buy 10 apples from store A the total will only be $8

Answer: x=4

Step-by-step explanation: 3x+6= 54-9x

6= 54 -12x

-48=-12x

x=4

9514 1404 393

Answer:

  B.  (-6q, 12q)

Step-by-step explanation:

The dilation factor (q) multiplies each of the coordinates:

  (x, y) ⇒ (qx, qy)

  P(-6, 12) ⇒ P'(-6q, 12q)

Answer:

El gas natural llegó ayer a Mallorca a través del gasoducto submarino.

Answer:

20.91375

Step-by-step explanation:

Mean is basically the average

15+22+19+20+29+18+25+19.31= 167.31

167.31/8=20.91375

Answer:

Step-by-step explanation:

20

Answer:

Straight angle.

Step-by-step explanation:

It is straight because <CED is a 180 degree angle which is straight.

Answer:

Obtuse

Step-by-step explanation:

Seeing that CEA and BED are acute, CEB has to be obtuse.

Answer:

10,000,000

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

hyp^2=3.9^2=15.21

1.5^2 +3.6^2=15.21

since hpy^2=sum of square of legs

it can be sides of a rt triangle...

Answer:

ur doing sca testing lol so its -4 rember debit is negitive credit is positive so 5 -    -9=   -4

Step-by-step explanation:

5 - (-9)  =  (-4)

Answer:

2x + 2y + 2

Step-by-step explanation:

x+ 2y + x +2 (combine like terms)

x + x + 2y + 2

2x + 2y + 2

Answer:

[tex]2x + 2y + 2[/tex]

Step-by-step explanation:

[tex]x + 2y + x + 2[/tex]

[tex]x + x = 1x + x[/tex]

[tex]1x + 1x = (1 + 1)x = 2x[/tex]

[tex]2x + 2y + 2[/tex]

Answer:

Is it zoom or what?

Step-by-step explanation:

Answer:Right rectangular prism

Solve for volume

V=504ft³

l Length

18

ft

w Width

2

ft

h Height

14

ft

h

l

w

d

l

l

h

w

h

w

Step-by-step explanation:

Answer: 504

Step-by-step explanation:

Answer:

25°

Step-by-step explanation:

The angle of a right triangle is always 90°. 90-35=51. 25 times 2 is 50 plus 1 is 51, so x is 25°.