Answer:
Step-by-step explanation:
The easiest way to do this is by using synthetic division (I really hope you know what I'm talking about!)
If the factor is x + 2 = 0, then the solution or the root is x = -2. We will put -2 outside the "box" and the coefficients from the terms of the polynomial inside the "box":
-2| 1 0 0 8
Bring down the first number and multiply it by the -2. Put the product up under the first 0 and add:
-2| 1 0 0 8
-2
1 -2
Now multiply the -2 by the -2, put the product up under the next 0 and add:
-2| 1 0 0 8
-2 4
1 -2 4
Now multiply the 4 by the -2, put the product up under the 8 and add:
-2| 1 0 0 8
-2 4 -8
1 -2 4 0
Those bold numbers are the coefficients to the quotient, which is another polynomial, but is one degree less than the one you started with:
x² - 2x + 4 = 0
Since there is no remainder, then x = -2 is a zero of x³ + 8, and (x + 2) is a factor.
There is a whole world of stuff to learn about quadratics!!
The total monthly cost of the two companies will be the same for 30 texts.
<u>Step-by-step explanation:</u>
It is given that,
- The variables used here are x and y.
- y represent the total monthly cost.
we know that, x must represent the number of texts in a month.
The monthly texting plan of All Star Cell is $11 per month and $0.25 per text.
⇒ y = 11 + 0.25x --------(1)
The monthly texting plan of Top Line Cell is $14 per month and $0.15 per text.
⇒ y = 14 + 0.15x --------(2)
<u>To find the no.of texts for which the total monthly cost of the two companies be the same :</u>
⇒ Total cost of All Star Cell = Total cost of Top Line Cell
⇒ 11 + 0.25x = 14 + 0.15x
⇒ 0.25x - 0.15x = 14 - 11
⇒ 0.1x = 3
⇒ x = 3 / 0.1
⇒ x = 30 texts.
The total monthly cost of the two companies will be the same for 30 texts.
<span>4p−8
</span>=<span>4(p-2)
answer is D </span><span>4(p−2) (last choice)</span><span>
</span>
Answer:
y ÷ 6.
Step-by-step explanation:
An expression is a combination of a number(s) and a variable.
Here, we simply need to write the expression from the word problem in mathematical form.
"Number" is unknown.
Variables are used to represent an unknown value.
(The variable in this expression is y).
The word problem says a number y divided by 6.
This simply means: y ÷ 6.
If you have moved z from -1 to +1, you have moved it +2 (2 to the right). If you move z from 5 to 1 you have moved it down 4. So your rule here in coordinate form is (+2, -4). Add 2 to each of the other x coordinates and subtract 4 from each of the other y coordinates to get the new points. A(3, -1) P(0, 0) Z(1, 1)
