Answer:
Option (C)
Step-by-step explanation:
x and y are two rational numbers.
Two inequalities which define these numbers are,
x + y < 5 ------(1)
3 < x < 5 -------(2)
In this question we will substitute the values of y given in the options in the inequality (1) to get the value of x. If the value of x satisfies the inequality (2), it will be the answer.
Option (A). y = ![\frac{8}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D)
From inequality (1),
![x+\frac{8}{3}](https://tex.z-dn.net/?f=x%2B%5Cfrac%7B8%7D%7B3%7D%3C5)
![x](https://tex.z-dn.net/?f=x%3C5-%5Cfrac%7B8%7D%7B3%7D)
x < ![\frac{7}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D)
x < 2.33
But 3 < x < 5, therefore, y =
is not the answer.
Option (B). y = 2
x + 2 < 5
x < 3
But x is greater than 3. Therefore, Option (B) will not be the answer.
Option (C). y = 0
x + 0 < 5
x < 5
Inequality (2) states the same thing.
Therefore, Option (C) will be the answer.
Option (D). y = 3
x + 3 < 5
x < 5 - 3
x < 2
But x > 3, therefore, Option (D) will not be the answer.
200 times. Because 1000 divided of 5 is 200. You could divide it using the algorithm.
-3x3 - 6x2 +6
(Mark me the brainliest)
Answer:
<h2>n = -7/2</h2>
Step-by-step explanation:
Given the equation 4n^2 +28n +49, to get the factors of the equation, we need to factorize the equation completely as shown;
= 4n² +28n +49
Using the general formula n = -b±√b²-4ac/2a
from the equation: a = 4, b = 28 and c = 49
n = -b±√b²-4ac/2a
n = -28±√28²-4(4)(49)/2(4)
n = -28±√784-784/8
n = -28±√0/8
n = -28/8
n = -7/2
The factor of the given function is -7/2