Write the equation of the graph shown below in factored form.

(the graph starts at the bottom left and continues up through the x axis at negative two to a maximum around y equals eight and goes back down through the x axis at one to a minimum around y equals negative four and back up through the x axis at three)

f(x) = (x + 2)(x − 1)(x − 3)
f(x) = (x − 2)(x + 1)(x + 3)
f(x) = (x + 2)(x + 1)(x + 3)
f(x) = (x − 2)(x − 1)(x − 3)

Step-by-step explanation:

78 divided by 4 = 19.5 pounds of bird food each.

Answer:

19.5 pounds per bird feeder

Step-by-step explanation:

78/4

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal= $450

Number of periods= 8 years

Interest rate= 6%

We will determine the interest earned and future value using simple interest and compound interest:

Simple interest:

I= P*r*t

I= 450*0.06*8= $216

Total Future Value= I + P

Total Future Value= 216 + 450= $666

Compound interest:

I= [P*(1+r)^t] - P

I= [450*(1.06^8)] - 450= $267.23

Total Future Value= P*(1+r)^t

Total Future Value= 450*1.06^8

Total Future Value= $717.23

Answer:

Step-by-step explanation:

6

Answer:

y = 3x -3

Step-by-step explanation:

Find the slope first

Givens

y2 = 3

y1 = - 3

x2 = 3

x1 = 1

Equation

m= (y2 - y1)/(x2 - x1)

Solution

m = (3 - - 3) / (3 - 1)

m = (3 + 3) / 2

m = 3

Find the y intercept next

Use either point to find the y intercept

y = 3x + b

x = 3

y = 3

y = 3*3 + b

3 = 6 + b

-3 = b

Answer

y = 3x - 3

Answer:

A. $105

Step-by-step explanation:

Given

total charge=  $700 per concert

solution

If Fredrick receives $175 of that money, the balance will be

 $700-$175= $525

The balance will be shared by the 5 members

Hence each of them will take

525/5=$105

Answer:

$105

I hope this helps

Answer: y=7x^2−42x+69

Step-by-step explanation:

Answer:

y - 2= -5(x + 3)... (the red one) is the correct answer!!!

HOPE THIS HELPED!!!

Answer:

It’s -3

You should just simply multiply them and then get the answer.

Answer:

The answer is D

Step-by-step explanation:

Answer:

Answer:

RT=6.5

PV=7.3

Step-by-step explanation:

Answer:

54/40 = 1.35 or 135%

Step-by-step explanation:

Answer:

90 days.

Step-by-step explanation:

if he had to read a 1,620 paged book, and 18 pages a day, it would take him 90 days to read the book.

1,620 divided by 18 = 90

Answer:

C $44.99 is the answere

Answer:

there you go! 2 extra for you ⊂:

Step-by-step explanation:

Answer:

n+35=180

n=180-35

n=145

1.When all the three cut outs of the angles A, B, C placed adjacent to each other at a point, then it forms a line forming a straight angle, i.e. 180°.

Flence, it is proved that the sum of the three angles of a triangle is 180°.

Therefore, ∠A + ∠B + ∠C =180

Mark them brainliest

9514 1404 393

Answer:

  55°

Step-by-step explanation:

130° is an external angle to the small triangle at lower left, so is the sum of the remote interior angles. The unmarked interior angle at the bottom of that triangle is then 130° -30 = 100°.

That is an exterior angle of the large triangle that has remote interior angles of 45° and x°. So, ...

  x° + 45° = 100°

  x° = 100° -45°

  x° = 55°

_____

Alternate solution

The sum of the interior angles of a quadrilateral is 360°. Three of the angles in the bounding quadrilateral are x°, 45°, 30°. The fourth is the reflex angle that is (360° -130°) = 230°. So, we have ...

  x° +45° +230° +30° = 360° . . . . . angles CCW from lower right

  x° = 360° -305°

  x° = 55°

Answer:

6

Step-by-step explanation:

So I assume it's 4 × x × 2 = 48

First multiply the like terms (4 x 2) and you'll get 8.

8 × x = 48

Then you 8 by the x and get 8x

8x = 48.

Lastly you'll just divide 48 by 8 and get 6.

Hope your brother understands how this works now! (It's basically legal cheating)

Answer:

6

Step-by-step explanation:

im not the smart too sorry

Answer:

22.75

I did some work to try and find this answer sorry if it is wrong I tried.

Answer:

Step-by-step explanation:

Table representing the function 'f' is,

x     -3      2       3        7    

y     -2      8      10       18

In this table for every input value of x, there is a different output value.

So the function is one to one function.

Therefore, inverse of the given function will have the table as,

x       -2      8      10       18

y       -3      2       3        7    

Answer:

1/2

Step-by-step explanation:

Given that,

[tex]\lim_{n \to 1} (\dfrac{1+\cos\pi x}{\tan^2\pi x})[/tex]

Using L Hospital's rule to find it :

[tex]\lim_{n \to a} \dfrac{f(x)}{g(x)}= \lim_{n \to a} \dfrac{f'(x)}{g'(x)}[/tex]

We have,

a = 1, [tex]f(x)=1+\cos\pi x, \ \ g(x)=\tan^2\pi x[/tex]

[tex]f'(x)=\dfrac{d}{dx}(1+\cos\pi x)\\\\=-\pi \sin \pi x\ .....(1)[/tex]

[tex]g'(x)=\dfrac{d}{dx}(\tan^2\pi x)\\\\=2\tan\pi x\times \sec^2\pi x\times \pi\ .....(2)[/tex]

From equation (1) and (2) :

[tex]\lim_{n \to 1} \dfrac{f(x)}{g(x)}= \lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\\lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\=\lim_{n \to 1} \dfrac{-1}{2}\times\cos^3\pi x\\\\=\dfrac{-1}{2}\times \cos^3\pi \\\\=\dfrac{1}{2}[/tex]

So, the value of the given function is 1/2.

Answer:

same variable term on both sides

Step-by-step explanation:

Given

3x - 1 > 3x + 2 ( add 1 to both sides )

3x > 3x + 3 ( subtract 3x from both sides )

0 > - 3 ← not true, thus no solution

Because the variable term was the same on both sides then it is eliminated

Answer:

cost of crab meals = $20

cost of vegetarian meals = $38

Step-by-step explanation:

Let

x = cost of crab meals

y = cost of vegetarian meals

Troop A

12 crab meals and 23 vegetarian meals, with total receipts of $916.

12x + 23y = 916

Troop B

12 crab meals and 12 vegetarian meals, bringing in a total of $696

12x + 12y = 696

12x + 23y = 916 (1)

12x + 12y = 696 (2)

Subtract (2) from (1)

23y - 12y = 916 - 696

11y = 220

y = 220/11

= 20

y = 20

Substitute y = 20 into (1)

12x + 23y = 916

12x + 23(20) = 916

12x + 460 = 916

12x = 916 - 460

12x = 456

x = 456/12

= 38

x = 38

cost of crab meals = $20

cost of vegetarian meals = $38

Answer:

-2

Step-by-step explanation:

By using an equation, we may state that the number is = -2.

Let's use the quantity "X" as the variable in our inquiry. The number is - since 21 is less than 11 times "X," which results in seven times a number that has been decreased by 29.

Hence we can say that after forming the equation according to the question the answer is, X=-2.

Know more about Equations click here:

https://brainly.com/question/2228446

#SPJ2

Answer:

6. 4

7. 0

Step-by-step explanation:

6. Slope of line that passes through (-1, -4) and (1, 4):

Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - (-4))}{1 - (-1)} = \frac{8}{2} = 4 [/tex]

7. Slope of line that passes through (1, 2) and (-3, 2):

Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 2)}{-3 - 1} = \frac{0}{-4} = 0 [/tex]

Answer:

you will need 4 cups of brown rice because it says per cup of brown rice

Step-by-step explanation:

ok so,

5 cups of chicken broth= 1 cup of brown rice

so if there's 20 cups of chicken broth, then:

20/5(since 5 equals 1 cup of brown rice)

=4 cups of brown rice

Answer:

ED and CF are paralell to eachother