75 pints of juice in 5 containers

PLS HELP ASAP What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x − 12?

Amanda [17]

I don’t know I’m sorry I got 6x and I don’t think that’s right

5 0

2 years ago

Plz help don’t understand

saul85 [17]

Answer:

Step-by-step explanation:

every time x goes up 1, y goes up 4

x = 3 minus x = 2 is a delta (a change of 1)

x = 4 minus x = 3 is a delta (a change of 1)

x = 5 minus x = 4 is a delta (a change of 1)

the delta x is ALWAYS 1 for this table you can always substract x's to find the delta delta is symbolized by Δ Δx for the delta x

y = 7 minus y = 3 is a delta (a change of 4)

y = 11 minus y = 7 is a delta (a change of 4)

y = 15 minus y = 11 is a delta (a change of 4)

the delta y is ALWAYS 4 for this table you can always substract y's to find the delta delta is symbolized by Δ Δy for the delta y

the slope m = Δy / Δx m = 4 / 1 m = 4

y = mx + b when x = 0 then y = b (called the y intercept)

so how do we find the y intercept?

look at the pattern in the TABLE Δx and Δy

when x = 1 y = (3 - 4) = -1

x = 0 y =( -1 - 4) = -5

so y = 4x - 5 is a line equation for the data in this table

I believe there are other forms for linear equations

I chose the y-intercept form

use the point slope equation

(y - y1) = m(x - x1) where (x1, y1) are the coordinates of a point on

the line

when you know the slope of the line and a point on the line

as before

m = (y2 - y1) / (x2 - x1) from the table

= (7 - 3) / (3 - 2) still equals

= 4/1 = 4

pick a point on the line say x= 4 and y = 11 (4, 11)

(y - y1) = m(x - x1)

y - 11 = 4(x - 4) point slope form

solving point slope form for y

y - 11 = 4x - 16 add 11 to both sides

y = 4x - 5 back to the y-intercept form

7 0

3 years ago

A rectangular plot of ground is 10 meters longer than it is wide. It’s area is 20,000 square meters what equation will help find

kow [346]

If x=width, then the equation would be:

x(x+10)=20,000

The length is 10 meters longer than the width(x), so the length is x+10.
To get the area(20,000) you multiply width by length, hence x(x+10).

Hope this helps.

3 0

3 years ago

How to calculate square root?

OLEGan [10]

To calculate the square root, you can either use the √symbol on a calculator or you can manually find it using Prime Factorization. For non-perfect squares, Prime Factorization is the way to go.

The first two steps work for solving large perfect squares as well.

1. Divide your number into perfect square factors.

2. Take the square roots of your perfect square factors.

3. If your number doesn't factor perfectly, reduce your answer to simplest terms.

4. If needed, estimate. In some cases if you have memorized some of the square roots, you can estimate where the number would be.
ie. $\sqrt{63}$ you know that $7^2 =49$ and $8^2 = 64$ , so you can estimate that the $\sqrt{63}$ would be between 7 and 8 but closer to 8.

5. Alternatively, reduce your number to its lowest common factors as your first step. Finding perfect square factors isn't necessary if you can easily determine a number's prime factors (factors that are also prime numbers).
ie. $\sqrt{45}$
= $\sqrt{9*5}$
= $\sqrt{3*3*5}$
= $3 \sqrt{5}$

Hope this helped!!!

6 0

3 years ago

Which unit is part of the SI system?

Orlov [11]

Gallon should be correct

7 0

3 years ago