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riadik2000 [5.3K]
3 years ago
12

A grocery store sells 5 bottles of water for $3 and 15 bottles of water for$8 is the cost of the water proportional to the numbe

r sold explain?
Mathematics
1 answer:
egoroff_w [7]3 years ago
8 0
Hi there! 5 bottles of water for $3 would make $0.60 per bottle. 0.6 * 15 = 9. That means 15 bottles of water should equal $9, but instead it is $8. Based on that, no. The costs for bottles of water is not proportional to the numbers sold. Basically, you can divide to find unit prices and multiply the number of another item to see if the numbers are proportional.
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The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
jarptica [38.1K]

Answer:

P(x)=-5x^3-40x^2-45x+90

Step-by-step explanation:

<u>Equation of a Polynomial</u>

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

P(x)=a(x-x1)(x-x2)(x-x3)

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

P(x)=a(x+6)(x+3)(x-1)

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

P(x)=-5(x+6)(x+3)(x-1)

We must write it in standard form, so we have to multiply all of the factors as follows:

P(x)=-5(x^2+6x+3x+18)(x-1)

P(x)=-5(x^2+9x+18)(x-1)

P(x)=-5(x^3-x^2+9x^2-9x+18x-18)

P(x)=-5(x^3+8x^2+9x-18)

\boxed{P(x)=-5x^3-40x^2-45x+90}

3 0
2 years ago
Find the circumference of the larger circle if the area of one of the smaller circles is 48 pi in^2.
notsponge [240]

Answer:

C. 16√3π in.

Step-by-step explanation:

Circumference of a circle = 2πr where

r is the radius of the circle.

Given the area of one of the smaller circle to be 48π in², we can get the radius of one of the smaller circle.

If A = πr²

48π = πr²

r² = 48

r = √48 in

The radius of one of the smaller circle is √48.

To get the circumference of the larger circle, we need the radius of the larger circle. The radius R of the larger circle will be equivalent to the diameter (2r) of one of the smaller circle.

R = 2r

R = 2√48 inches

Since C = 2πR

C = 2π(2√48)

C = 4√48π in

C = 4(√16×3)π in

C = 4(4√3)π in

C = 16√3π in

Thw circumference of the larger circle is 16√3π in.

3 0
2 years ago
Read 2 more answers
The sum S of the first n integers is given by the formula S=1/2n(n+1). How many integers must be taken to have a sum of
statuscvo [17]

Answer:

25

Step-by-step explanation:

We require to solve for n, hence

\frac{1}{2} n(n + 1) = 325

multiply both sides by 2 to eliminate the fraction

n(n + 1) = 650

n² + n = 650

subtract 650 from both sides to have equation in standard form

n² + n - 650 = 0 ← in standard form

(n + 26)(n - 25) = 0 ← in factored form

equate each factor to zero and solve for n

n + 26 = 0 ⇒ n = - 26

n - 25 = 0 ⇒ n = 25

however, n > 0 ⇒ n = 25


5 0
3 years ago
Write 6.384 to 1 decimal place
yan [13]

Answer:

6.384 rounded to one decimal place is 6.4

Step-by-step explanation:

3 0
3 years ago
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What is the value of 9/5 x 1/3
adoni [48]
\frac{9}{5}  *   \frac{1}{3}         The nine cancels the three and leaves a remainder of three \frac{3}{5}  *   \frac{1}{1} &#10;

: . \frac{9}{5}  *   \frac{1}{3}  =  \frac{3}{5}
6 0
3 years ago
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