The function f(x) is cubic function and the zeros of f(x) are -5,3 and 6. The y intercept of f(x) is 360. Write the equation of the cubic polynomial in standard form

Answer:

In my sketch the angle between their flights is 135°

So wouldn't we just have the cosine law??

x^2 = 120^2 + 150^2 - 2(120)(150)cos135°

carry on, take care with the cos135, since it will be negative

Answer:

8 * 17 = 136

39 * 36 = 1404

1482 + 136 = 1540

Step-by-step explanation:

The area of the figure is 330 inches²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the figure be composed of two different right angled triangles

Now ,  Let the first triangle be ΔABC

Let the second triangle be ΔBCD

Length of first triangle = 36 inches

Base of second triangle = 8 inches

Since the base of the first triangle is equal to the length of the second triangle ,

From the Pythagoras Theorem , The hypotenuse² = base² + height²

On simplifying the equation , we get

base² = hypotenuse² - height²

BC² = 17² - 8²

BC² = 289 - 64

BC² = 225

Taking square roots on both sides , we get

BC = 15 inches

Therefore , the base of the first triangle and the length of the second triangle is 15 inches

Now , to find the area

Total area of figure = Area of first Triangle + Area of second triangle

The area of the triangle = ( 1/2 ) x Length x Base

Total area of figure = ( 1/2 ) x ( 36 x 15 ) + ( 1/2 ) x ( 15 x 8 )

                                = ( 1/2 ) x 540 + ( 1/2 ) x 120

                                = 270 + 60

                                = 330 inches²

Therefore , the value is 330 inches²

Hence , The area of the figure is 330 inches²

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Answer:

[tex]Factor = 9y^5[/tex]

Step-by-step explanation:

Given

- 63 y^5  , 27y^7  and 18y^9

Required

Remove the common factor

Factorize each expression:

[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]

[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]

[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]

The common factor in the above expression is:

[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]

[tex]Factor = 9y^5[/tex]

Answer:

0.833333333 or 83/100 mi squared

Step-by-step explanation:

a = b x h / 2

Answer:

0.333

Step-by-step explanation:

Answer:

None OF THE STATEMENTS ARE CORRECT

Step-by-step explanation:

Present value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

Cash flow in year 1 = $400

Cash flow in year 2 = $600

Cash flow in year 3 = $800

I = 6%

PV = 1,583.05

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

1583.05 x (1.06)^3 = $1885.44

None of the statements are correct based on the above calculations

To find the PV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

Answer:

the sides are 6, 20, and 22

Step-by-step explanation:

n + 3n + 2 + 2n + 10 = 48

combine like terms:

6n + 12 = 48

subtract 12 from each side of th equation:

6n = 36

divide both sides by 6:

n = 6

the sides are 6, 20, and 22

Answer:2x-6

Step-by-step explanation:

simplify the expression

2x-6

Answer:

2x - 6

Step-by-step explanation:

(x − 3)2

2 · x = 2x

2 · (-3) = -6

Combined:

2x - 6

Answer:

13 cm

Step-by-step explanation:

use pythagorean theorem

Answer:

Can you picture the question?

Answer:

1) x=65

2) x= 70

3) x= 40

4) x= 131

5) x= 75

6) x= 49

7) x= -12

8) x= 42

Answer:

B.

Step-by-step explanation:

Answer:

1st answer =10

2nd answer=4

3rd answer=12

4th answer=8

Answer: [tex]46.42:18.57[/tex]

Step-by-step explanation:

[tex]5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}[/tex]

The solution is 46.42857 : 18.57143

The proportion equation is given by 46.42857 : 18.57143 and

46.42857 + 18.5714365 = 65

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number be represented as N

The value of N = 65

The proportion is 5 : 2

The total value of the ratio = 5 + 2 = 7

So , each value of the proportion is x = 65 / 7

On simplifying the equation , we get

Each value of the proportion is x = 9.2857142857

Now , the proportion equation is given by

The value of 5x = 5 ( 9.2857142857 )

The value of 5x = 46.42857

The value of 2x = 2 ( 9.2857142857 )

The value of 2x = 18.57143

And , 46.42857 + 18.5714365 = 65

Hence , the proportion is 46.42857 : 18.57143 or 5 : 2

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Answer:

-p - 30

Step-by-step explanation:

Hope this helps

Answer:

-p-30

Step-by-step explanation:

4p-5(p+6) Distribute -4 to p and 6

4p-5p-30 simplify by adding the p variables

-p-30

Answer:

...

Step-by-step explanation:

the vertex is (-1 , 0)

false

true

the domain is R (all real numbers) ( -♾, +♾ )

the range is negative infinity -♾

Answer:

Im sorry but i can't read it

Step-by-step explanation:

Answer:

figure c

Step-by-step explanation:

there is an uneven line at the top with the half circle

Answer:

$69

Step-by-step explanation:

$115 x 0.4 = $46 discount

$115 - 46 = $69

Answer:

$69

Step-by-step explanation:

115/100=1.15

1.15(40)=46

115-46=69

Hope this helps

Answer:

sorry if im rong but im prety sure its d

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

Answer:

73%

Step-by-step explanation:

Answer:

73 percent

Step-by-step explanation:

Its because 1.00 would be 100 percent and .50 would be 50 percent so .73 would be 73 percent

Answer:

A. -45

Step-by-step explanation:

We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.

Our keyword is "spent" and "fourty-five". Why? Because these determine how much money is being taken away or added.

Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being A. -45

Answer:

-45

Step-by-step explanation:

She uses $45 when she goes shopping so she is reducing her bank balance.

Answer:

-4 is your answer

Step-by-step explanation:

Answer:

The I is 12.

Step-by-step explanation:

You dont count the slang when you are finding the area, im not good at explaining but its basically just 12x9. 12x9=x. X is the area- aka 108. Divide 108 by the 9 in the rectangle. IM BAD AT EXPLAINING SORRY

Answer:

36

Step-by-step explanation:

(figure out length of triangle)24-12=12

(find full length of base which is equal to L of rectangle)24+12=36

Answer:

The length and width and height is already given.

Length is: 3 1/2

Width is: 1 1/2

Height is: 2 1/2

The volume of this would be all given lengths multiplied.

Whenever you find an area of a 3 dimensional shape you always multiply the given lengths so: 3 1/2 x 1 1/2 x 2 1/2 = 13 1/8 cm3

Answer:

t = 11 min

and

t = 18 min

Step-by-step explanation:

When we have unidimensional motion, the sign of the velocity defines the direction.

So we could say that a positive velocity like:

v = 4ft/min

Means that you are moving to the right with a speed of 4 feet per minute.

And a negative velocity like:

v = -3 ft/min

means that you are moving to the left with a speed of 3 feet per minute.

Then the bug changes direction when the velocity changes of sign.

In the graph, we can see that the velocity changes of sing in two points, these points are:

t = 11 min

and

t = 18 min

Answer:

5/8

Step-by-step explanation:

there are 8 slices.

if he and his friends eat 5 pieces, they ate 5 out of 8 pieces.

in maths, we write 5 out of 8 like 5/8

hope this helped, any questions - just ask

good luck,

-cheesetoasty

The equation of the quartic polynomial in standard form is,

⇒ f (x) = x⁴ - 27x² - 14x + 120

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;'

The function f(x) is a quartic function and the zeros of f(x) are -4,-3,2 and 5.

And, the leading coefficient of f(x) is 1.

Hence, We get;

The equation of the quartic polynomial in standard form is,

⇒ f (x) = 1 (x - (- 4)) (x - (- 3)) (x - 2) (x - 5)

⇒ f (x) = (x + 4) (x + 3) (x - 2) (x - 5)

⇒ f (x) = (x² + 7x + 12) (x² - 7x + 10)

⇒ f (x) = x⁴ - 7x³ + 10x² + 7x³ - 49x² + 70x + 12x² - 84x + 120

⇒ f (x) = x⁴ - 27x² - 14x + 120

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Answer:

The t-value is t = 1.65.

Step-by-step explanation:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

The average length of a flight by regional airlines in the United States has been reported as 464 miles.

This means that the null hypothesis is [tex]H_{0}: \mu = 464[/tex].

Simple random sample of 30 flights by regional airlines were to have a mean of 476.9 miles and a standard deviation of 42.8 miles

This means that [tex]n = 30, X = 476.9, s = 42.8[/tex]. So

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{476.9 - 464}{\frac{42.8}{\sqrt{30}}}[/tex]

[tex]t = 1.65[/tex]

The t-value is t = 1.65.

Answer:

-5 63/100

Step-by-step explanation: