Answer:
Write the problem as a mathematical expression.
X=−1/5; f(x)=(25/2)x+(−91/2)
Replace the variable x with x=−1/5 in the expression.
f(−1/5)=(25/2)(−1/5)−91/2
Simplify the result.
−48
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,
![PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }](https://tex.z-dn.net/?f=PQ%20%3D%20%5Csqrt%7B%28x%5E%7B2%7D%20-%20x%5E%7B1%7D%20%29%5E%7B2%7D%20%2B%20%28y%5E%7B2%7D%20-%20y%5E%7B1%7D%29%5E%7B2%7D%20%7D)
NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.
According to the question ,
Coordinate of C = (2 , -1)
Coordinate of D = (5 , 3)
Using distance formula ,
![CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }](https://tex.z-dn.net/?f=CD%20%3D%20%5Csqrt%7B%285-2%29%5E%7B2%7D%20%2B%20%283%20-%28-1%29%29%5E%7B2%7D%20%7D)
![=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5](https://tex.z-dn.net/?f=%3D%3E%20CD%20%3D%20%5Csqrt%7B3%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B9%20%2B%2016%7D%20%3D%20%5Csqrt%7B25%7D%20%3D%205)
Answer: =11/4
Step-by-step explanation:
The answer to the inequality is expressed as x< 1 and x< -4
<h3>What are inequalities?</h3>
Inequalities are mathematical expressions having both sides unequal or rather not equivalent to each other.
Given the inequality;
4x (x+3) < -24
First, expand the bracket
4x² + 12x < - 24
Let's turn to quadratic inequality
4x² + 12x - 24 < 0
Factorize further
4 ( x² + 3x - 4) < 0
4 ( x² + 4x - x - 4) < 0
4 ( x(x + 4) - 1 (x + 4) ) < 0
4(x - 1) ( x + 4) < 0
expand the bracket
4x - 4 < 0
x < 1
And
4x + 16 < 0
x < -4
Thus, the answer to the inequality is expressed as x< 1 and x< -4
Learn more about inequalities here:
brainly.com/question/25275758
#SPJ1
Answer: 70
Step-by-step explanation:
I think