The sum of the roots of a cubic is the opposite of the coefficient of the squared term (provided that the leading coefficient is 1).

The sum of the roots is -(-4) = 4.

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The graph shows the roots to be -3, 2, 5, whose sum is 4.

5 0

3 years ago

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Carly bought a new house for $125,000. The value of the house appreciates approximately 3.5% each year. What will be the value o

STALIN [3.7K]

125,000*.035= 4375
so that's the value it goes up in one year
but they're asking for 10 years so multiply the above answer by 10
value appreciates $43, 750 in 10 years

5 0

4 years ago

How many 1/3 cubes does it take to fill a box with a width of 2 2/3 inches length 3 1/3 inches and height 2 1/3

Paladinen [302]

Answer:

560

Step-by-step explanation:

I assume 1/3 is the side length of the cubes.

There's two ways to solve this:

1. Find the volume of the box, then divide by the volume of the cubes.

Or 2. Find the number of cubes per each side length, the find the volume in terms of cubes.

Either way, we need to convert the mixed fractions to improper fractions.

W = 2⅔ = (2×3+2)/3 = 8/3 inches

L = 3⅓ = (3×3+1)/3 = 10/3 inches

H = 2⅓ = (2×3+1)/3 = 7/3 inches

Using the first method, the volume of the box is:

V = (8/3 in) (10/3 in) (7/3 in) = 560/27 in³

The volume of a cube is:

V = (1/3 in)³ = 1/27 in³

So the number of cubes in the box is:

(560/27 in³) / (1/27 in³) = 560

Using the second method, the cubes per each side of the box is:

W = (8/3 in) / (1/3 in) = 8

L = (10/3 in) / (1/3 in) = 10

H = (7/3 in) / (1/3 in) = 7

So the number of cubes is:

8 × 10 × 7 = 560

7 0

3 years ago

I need help please, ill give branliest if possible

kaheart [24]

Answer:

Equation: y=4√x

Step-by-step explanation:

This is a square-root function, specifically y = 4√x. As the input increases, the output also increases. It can also be written in exponent form, y = 4 * x^(1/2). The curve gets closer and closer to horizontal as the input increases, although it never does. The inverse of this function is y = (1/16)x², a quadratic, you can imagine y = 4√x being a reflection of y = (1/16)x² across the line y=x.

A. One relationship the function possibly models is the relationship between velocity and braking time. Imagine this situation: A function for the distance (in meters) at which a car need to stop is given by D = 4 √v where v (in meters per second) is the speed of car before braking.

B. At the beginning, when v = 0, your car is at rest, so D also = 0. At v = 9m/s, you need 12 meters to stop completely. At v = 100, you need 40 meters to stop completely.

I'm not sure if I answered your question. Hope I helped!

6 0

3 years ago