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diamong [38]
3 years ago
5

The difference of a number and 9 •write as a algebraic expression

Mathematics
1 answer:
otez555 [7]3 years ago
5 0

Answer:

x - 9

Step-by-step explanation:

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Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60
RSB [31]

Answer:

f(x)=2x^{3}+24x^{2}+82x+60

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

f(x)=a(x+6)(x+5)(x+1)

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

60=a(0+6)(0+5)(0+1)

60=a(6)(5)(1)

60=30a

a=2

so

f(x)=2(x+6)(x+5)(x+1)

Applying the distributive property

Convert to expanded form                  

f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60

3 0
3 years ago
A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and standard deviation of 8. A second ran
gavmur [86]

Answer:

the answer is in the attached image below

Step-by-step explanation:

4 0
3 years ago
At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 30 km/h. How fast is
Marrrta [24]

Answer:

150 km/h

Step-by-step explanation:

because it's then 2 together

4 0
3 years ago
The amount of money Mr. Brust made this summer was equal to the $55 he started with and the $15 for every lawn he mowed while st
earnstyle [38]

Let's start by declaring our varibles.

x = number of lawns Mr. Brust mowed

y = total amount of money Mr. Brust made

Let's create our equation.

y = 15x + 55

For part b, we can plug 800 in for y.

800 = 15x + 55

Subtract 55 from both sides.

745 = 15x

Divide both sides by 15

50 = x. Note, I rounded the answer to the nearest integer.

For part c, we can plug 13 in for x.

y = 15(13) + 55

Simplify the right side of the equation.

y = 250

8 0
2 years ago
In a game of chance, players spin the pointer of a spinner with eight equal-sized sections. A spinner that is divided into 8 equ
Aleksandr [31]

Answer:

6/8

Step-by-step explanation:

probability= required outcome / all possible outcomes

probability = 6/8

8 0
3 years ago
Read 2 more answers
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