Answer:
C. 2(x + 10)(x - 10)
Step-by-step explanation:
![2x^2-200\\2(x^2-100)\\2(x+10)(x-10)](https://tex.z-dn.net/?f=2x%5E2-200%5C%5C2%28x%5E2-100%29%5C%5C2%28x%2B10%29%28x-10%29)
Answer:
y = x +3
Step-by-step explanation:
When you examine the table, you see that each y-value is 3 more than the corresponding x-value. This is represented in the equation ...
y = x +3
-25 is an integer and a rational number.
<h3>What is number system?</h3>
- A system of writing numbers is known as a number system.
- It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set.
- It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.
Now,
- Natural numbers are positive integers with a range of 1 to infinity; nevertheless, they do not include zero. -25 wouldn't be a natural number because it is a negative number.
- A group of numbers known as a whole number consists of all positive integers and 0. This wouldn't be a whole number because -25 isn't a positive number.
- Any real number that cannot be represented as the quotient of two integers is said to be irrational. Square roots of irrational numbers are also frequently seen. -25, however, is not a square root.
- Any number that can be expressed as a ratio, or a fraction, of two integers, is referred to be a rational number. Fractions, decimals, negative decimals, and other rational numbers are very prevalent. Since -25 can be represented as a ratio of two numbers. it is a rational number.
- A whole number that can be either positive, negative, or zero is known as an integer. As -25 is negative and a whole number( when positive), it is an integer.
Hence, -25 is an integer and a rational number.
To learn more about number system, refer to the link: brainly.com/question/13162939
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Answer:
(
, 8 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10x - 2 ← is in slope- intercept form
with slope m = 10
Parallel lines have equal slopes
then the tangent to the parabola with a slope of 10 is required.
the slope of the tangent at any point on the parabola is ![\frac{dy}{dx}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D)
differentiate each term using the power rule
(a
) = na
, then
= 6x + 2
equating this to 10 gives
6x + 2 = 10 ( subtract 2 from both sides )
6x = 8 ( divide both sides by 6 )
x =
= ![\frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D)
substitute this value into the equation of the parabola for corresponding y- coordinate.
y = 3(
)² + 2
= (3 ×
) + 2
=
+ ![\frac{8}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D)
= ![\frac{24}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B3%7D)
= 8
the point on the parabola with tangent parallel to y = 10x - 2 is (
, 8 )
Answer: The correct answer is x+3
Step-by-step explanation: To find the answer you must first remove the parentheses then you combine the like terms and that how you get your answer.