True or False
72 - ( - 100) is negative.

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:

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:

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

Step-by-step explanation:

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]

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:

$52.00

Step-by-step explanation:

35% of $80

(35÷100) ×80

0.35× 80

$28.00

$80 -$28

$52.00

Answer:14

Step-by-step explanation:

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:

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:

About 292.72

Step-by-step explanation:

We can imagine a circle circumscribed around the triangle, then solve it as we normally do using the apothem. By dividing 360 by the number of sides (3) we know that the central angle constructed by the apothem and radiuses would be 120. Divided by 2 (because we are using a right triangle to solve it) is 60. Now with this you can either use trig ratios (sin, cos, or tan) or use special right triangles (30-60-90 or 45-45-90). I used special rights. With this I know my apothem is [tex]\frac{13\sqrt{3} }{3}[/tex]. Perimeter is 26 times 3 which is 78. The formula for area of regular polygons is 1/2(perimeter times apothem). When we plug our values in the answer is about 292.72. You are lucky that I just had my test on this, I hope it helps.

Here is my work since this is very visual for me:

9514 1404 393

Answer:

  C.  7

Step-by-step explanation:

To find the value of 2Ω3 using the definition of AΩB, we are replacing A with 2, and B with 3. This seems to give us ...

  2Ω3 = 2² +3² -2·3 = 4 + 9 - 6 = 7

The value of 2Ω3 is 7.

Answer:

Yes

Step-by-step explanation:

Pythagorean's Theorum is that a^2 + b^2 = c^2

a and b are the sides of the triangle and c is the hypotenuse. 33x33+56x56=4225 sqrt4225 is 65. Everything checks out.

Answer:

its a rectangle

Step-by-step explanation:

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:

C. Maximum

Step-by-step explanation:

I calculated it logically

Answer:

7/8 or the bottom right

Step-by-step explanation:

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:

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:

$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: Hello the scatter plot related to your question is missing attached below is the scatter plot

answer :  The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship ( C )

Step-by-step explanation:

The conclusion that can be drawn based upon the scatter chart is that The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship

A scatter plot helps in observing the relationship within different numeric variables but the scatter plot attached fails in the showing the actual relationship

Answer:

That is correct.

Step-by-step explanation:

x - y = 6

2 - (- 4) = 6

2 + 4 = 6

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:

1/12

Step-by-step explanation:

To find experimental probability you have to solve the Number of times an event occurs / Total number of trials. So since the 5 only appears once and there are 12 numbers, it would be 1/12. Did this help?

The experimental probability of rolling 5 will be 0.18.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

The table is given below:

Number      Total

    1                12

   2                16

   3                21

   4                23

   5                18

   6                10

The experimental probability of rolling a 5 is calculated as,

P = 18 / (12 + 16 + 21 + 23 + 18 + 10)

P = 18 / 100

P = 0.18

Thus, the probability is 0.18.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

9514 1404 393

Answer:

  (d) {-7, -2, 11, 20}

Step-by-step explanation:

You can put the domain values into the function and evaluate to find the corresponding range values. Here, we'll do them "all at once."

  y = 3{-4, -1, 2, 5} +5

  = {-12, -3, 6, 15} +5

  = {-7, 2, 11, 20} . . . . . matches choice d

_____

To save yourself some arithmetic, you can observe that the answer choices differ in the 2nd and 4th values, so you only need to evaluate the function for x=-1 or x=5 to determine the correct answer choice.

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 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

Slope : -2

y - intercept : 3

Equation : y = -2x+3

Answer:

Step-by-step explanation:

Slope: -0.5

Y-Intercept: 3

y = -0.5x+3

Answer:

14.49 people per square mile

Step-by-step explanation:

Divide to find the answer:

836,109/57,714 = 14.49