A birthday hat is the same shape as a * triangle cone ice cream scoop

ariana's 150g bag of trail mix is x% raisins. brandon's 250g bag of trail mix is y% raisins. they combine the two mixes together

Tema [17]

Answer:

(3x+5y)/8

Step-by-step explanation:

The total amount is 150+250=400

We then do (3x+5y)/2 × 1/400

This equals (3x+5y)/800

We multiply that by 100 giving us the final answer.

7 0

2 years ago

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:

Equation of a Polynomial

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

Which of the following

Ronch [10]

Answer:

Option A

Step-by-step explanation:

Given equation is

=> 3y = 6x + 3

In slope-intercept form, it becomes

=> 3y = 3(2x+1)

=> y = 2x+1

So, Slope = m = 2

Parallel lines have equal slope, So any line parallel to the above line would have its slope equal to 2

=> Line parallel to 3y = 6x + 3 is y = 2x + 10

3 0

3 years ago

Jayda is running around a track where 3 laps is 5km. She runs 6 laps in 20 min. What is her speed in min per km

zzz [600]

Answer:

2km/m

Step-by-step explanation:

6 laps = 10km

(because 3 x 2 = 6 and double 5km as well)

Distance divide time = speed

20 mins divided by 10km = 2km per minute

3 0

2 years ago

Write an equation that relates the number of peppers, n, and the cost, C.

SCORPION-xisa [38]

Complete Question:

The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the cost, C.

Answer:

$C = 0.45n$

Step-by-step explanation:

Given

$5\ peppers = \$2.25$

Required

Determine the relationship between C and n

$5\ peppers = \$2.25$

Divide both sides by 5, to get the cost of 1 pepper

$\frac{5\ peppers}{5} = \frac{\$2.25}{5}$

$1\ pepper = \frac{\$2.25}{5}$

$1\ pepper = \$0.45$

Multiply both sides by n to get the cost of n pepper

$n*1\ pepper = \$0.45*n$

$n\ pepper = \$0.45n$

So, we have:

$C = 0.45n$

5 0

2 years ago