Are the two triangles similar? Explain your answer.

Answer:

[tex]h(x) = (\frac{f}{g})(x)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x^3 + 9x^2 -12x[/tex]

[tex]g(x) = x - 1[/tex]

[tex]h(x) = 3x^2 + 12x[/tex]

Required

What defines h(x)

Looking at the degree of f(x), g(x) and h(x), we have:

[tex]h(x) = (\frac{f}{g})(x)[/tex]

See proof

[tex]h(x) = (\frac{f}{g})(x)[/tex]

This gives:

[tex]h(x) = \frac{f(x)}{g(x)}[/tex]

[tex]h(x) = \frac{3x^3 + 9x^2 -12x}{x - 1}[/tex]

Factorize

[tex]h(x) = \frac{(3x^2 + 12x)(x - 1)}{x - 1}\\[/tex]

[tex]h(x) = 3x^2 + 12x[/tex]

Answer:

$52.00

Step-by-step explanation:

35% of $80

(35÷100) ×80

0.35× 80

$28.00

$80 -$28

$52.00

Answer:

8x + 28

Step-by-step explanation:

Answer:

A.) The aircraft rose quickly into the air at takeoff, and then continued at a constant altitude.:)

Answer:

Omg, thank u so much I am on this question rn on Edulatic and I have 100 Q's and I'm only on Q 45, This Question rly helped me a lot bc it came with the answer. God Bless you!!

Answer:

The rabbit will run 264feet to get to the tortoise

Step-by-step explanation:

To solve this problem perfectly, we need to take note of the units and conversions involved.

The speed of the tortoise is 0.1 mi/hr

The speed of the hare is 5mi/hr

If the hare rests for another 30 minutes before he starts running the race, We are to get the distance covered by the tortoise under this 30 minutes.

The tortoise runs 0.1 miles in 1 hour

The tortoise will run x miles in 0.5 hours.

x = 0.5 X 0.1 =  0.05 miles.

Therefore, the distance covered by the Tortoise within 30 minutes is 0.05 miles.

The hare will have to run for 0.05 miles before he can catch up to the tortoise.

It is now unit conversion comes into play. We are converting the 0.05 miles to feet so we can get our final answer.

The answer in feet is 264 feet.

Therefore, the rabbit will run 264feet to get to the tortoise

Answer:

B Center: (-4, 8) Radius = 4

Step-by-step explanation:

9514 1404 393

Answer:

  $2560.00

Step-by-step explanation:

The account balance is given by the formula ...

  A = Pe^(rt) . . . . principal P invested at rate r for t years

Filling in your numbers, we have ...

  $3287.11 = Pe^(0.05·5)

  P = $3287.11e^(-0.25) = $2560.00

The initial amount was $2560.00.

Answer:

14.49 people per square mile

Step-by-step explanation:

Divide to find the answer:

836,109/57,714 = 14.49

Answer:

3

Step-by-step explanation:

Answer: You multiply the old x coordinate by negative 1, so the error is at step 3.

It should give (-6, (-1)-5).

Step-by-step explanation:

Answer:

The probability that they will meet is 0.4375

Step-by-step explanation:

Let A and B be two friends who choose to meet  the same one-hour period.Since there are 60 minutes in an hour therefore n= 60

A can wait for 15 minutes

So the probability of A to meet is given by P(A)=  (15/60)= 1/4

Similarly

B can wait for 15 minutes

So the probability of B to meet is given by P(B)=  (15/60)= 1/4

The  probability  that A cannot meet is given by 1- P(A)=  1-1/4= 3/4

Similarly

The  probability  that B cannot meet is given by 1- P(B)=  1-1/4= 3/4

And

The  probability  that both  A  and B cannot meet is given by = 3/4*3/4= 9/16

So the probability that both will meet = 1- 9/16= 7/16= 0.4375

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

3 [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{5}[/tex]

[tex]\frac{15}{4}[/tex] x [tex]\frac{2}{5}[/tex]

[tex]\frac{30}{20}[/tex] = [tex]\frac{3}{2}[/tex]

or another way

[tex]\frac{15}{4}[/tex] x [tex]\frac{2}{5}[/tex]

[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

its a rectangle

Step-by-step explanation:

Answer:

C) 56

Step-by-step explanation:

DEG and FEG are on a straight line forming 180 degree.

Set your formula up as

180 = (3x+31)+(2x-6)

180 = 3x +2x +31 - 6

180 - 31 + 6 = 5x

155 = 5x

155/5 = x

31 = x

Now substitute 31 in place of x

FEG = (2*31-6)

FEG = 56

Answer:

C. Maximum

Step-by-step explanation:

I calculated it logically

Answer:

7/8 or the bottom right

Step-by-step explanation:

Answer:

8 divided by 1/3 is 24 because you are dividing a fraction so it is basically 8*3 (inverse operations). As for 2/3 it does not have one as a numerator so it automatically is less that 1/3

Step-by-step explanation:

Sry If it doesn't make sense!

If you are confused let me know and I will explain in the comments.

Answer:

What are the options tho?

Step-by-step explanation:

Answer:

1/10?

Step-by-step explanation:

total:250

red:25

25/250 simplified=1/10

Answer:

4/3

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

$240 = 100%

Discount = 25%

100% - 25% = 75%

75% as a decimal is 0.75

Multiply:

240(0.75) = 180

You could also do 3/4 of 240 because 0.75 is 3/4

To find out how much she saved, let's subtract the sale price from the original price:

240 - 180 = 60

Ella's mom saved $60 from the discount

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

4/10 is the same as 40/100

there fore 4/10+40/100=40/100+40/100=

80/100

hope it helps :)

Answer:

80/100

4/5    as reduced fraction

Step-by-step explanation:

4/10 + 40/100

use common denominator of 100

40/100 + 40/100 = 80/100

As a reduced fraction

4/5

Answer:

The graph has a domain of {x|0 < x < infinite} and approaches 0 as x decreases

The graph has a domain of {y| -infinite < y < infinite} and decreases as x approaches 0.

Step-by-step explanation:

I was confused at first because I was like "There is 2 answers" and I reread the question again and found my mistake.

And sorry for the wait because "I am in class"

Answer:14

Step-by-step explanation:

Answer:

That is correct.

Step-by-step explanation:

x - y = 6

2 - (- 4) = 6

2 + 4 = 6

Answer:

y = 3/2x + 8

Step-by-step explanation:

using points (-2,5) and (0,8),

we find slope, by using rise/run aka the y's/x's. so 8-5/0--2= 3/2 for slope. (8,0) is an intercept, so b out y=mx +b has been found!

Answer: Choice D

Yes, there exists one output for every input.

=======================================================

Explanation:

x = input

y = output

For any given x value, we have exactly one and only one y value that pairs up with it. Use the vertical line test. This is where we try to draw a single vertical line through more than one point on the curve. You'll find that no such line can be drawn. Any vertical line only crosses the curve exactly once (corresponding to exactly one output). We say that it passes the vertical line test, and therefore we have a function.

Side note: the curve does not pass the horizontal line test. That means the function is not one-to-one.

Answer:

8 cm and 9 cm

Step-by-step explanation:

Those are they only numbers that aren't equal to or less than the third side.

Answer:

Q 1)

a) No of sheep = 480

b) 8 : 11

c) 11 : 3

Q 2)

Each person will receive: $360,000, $270,000 and $180,000

Step-by-step explanation:

Ratio of sheep to cattle = 8 : 3

Let the number of sheep be 8x

And number of cattle be 3x

a)

No of cattle = 180 (Given)

Therefore,

3x = 180

x = 180/3

x = 60

Therefore, 8x = 8*60 = 480

No of sheep = 480

b)

Total animals = 180 + 480 = 660

Ratio of sheep to the total number of animals

= 480 : 660

= 8 : 11

c)

Ratio of total animals to the number of cattle

= 660 : 180

= 11 : 3

Q 2) Let each person will receive 4x, 3x and 2x dollars.

Therefore,

4x + 3x + 2x = 810,000

9x = 810000

x = 810000/9

x = 90,000

Therefore,

4x = 4*90,000 = $360,000

3x = 3*90,000 = $270,000

2x = 2*90,000 = $180,000

So, each person will receive $360,000, $270,000 and $180,000.

Answer:

if you ant to find the area of the traporziord prism you have to multiply the height and with to find the area

Answer:

Hence, the azimuth, bearing, and length of the line connecting station Shore to station Rock are [tex]270^{\circ},90^{\circ}[/tex] and [tex]650.94[/tex] feet.

Given :

The shore station point [tex](X_1,Y_1)[/tex] in feet,

        [tex](X_1,Y_1)=(2058.97, 6980.06)[/tex]

The Rock station point [tex](X_2,Y_2)[/tex] in feet

       [tex](X_2,Y_2)=(1408.03,6980.06)[/tex]

From the figure

     [tex]x=2058.97-1408.03=650.94[/tex] feet

    [tex]y=6980.06-6980.06=0\\[/tex] feet

Length of the line [tex]L=\sqrt{x^2+y^2}[/tex]

                           [tex]\Rightarrow L=\sqrt{(650.94)^2+0}=650.94[/tex]

                            [tex]\Rightarrow L=650.94[/tex] feet

[tex]\because[/tex] [tex]\tan \theta=\frac{y}{x}=\frac{0}{x}=0[/tex]

[tex]\Rightarrow \theta=\tan^{-1}(0)=0[/tex]

Azimuth of line[tex]=270^{\circ}+\theta[/tex]

                       [tex]=270^{\circ}+0[/tex]

                      [tex]=270^{\circ}[/tex]

[tex]\therefore[/tex] Bearing [tex]=360^{\circ}-\text{Azimuth}[/tex]

                [tex]=360^{\circ}-270^{\circ}[/tex]

                [tex]=90^{\circ}[/tex]