Answer:
x=3 x = -1
Step-by-step explanation:
f(x) = x^2 − 2x − 3
Set the function equal to zero
0 = x^2 − 2x − 3
Factor
What two numbers multiply to -3 and add to -2
-3 *1 = -3
-3+1 = -2
0 = (x-3)(x+1)
Using the zero product property
x-3 =0 x+1 =0
x=3 x = -1
In this problem, we need to solve for the measurement of the width of the rectangular prism on which the formula is Volume = length * width * height. Ther are given values such as length = 3.2 inches, height = 9.6 inches and volume = 138.24 cubic inches. Solving for the width, we have shown it below:
Volume = length * width * height
138.24 = 3.2 * width * 9.6
138.24 / (3.2*9.6) = width
4.5 inches = width
The answer is 4.5 inches for the width of the rectangular prism.
Answer:
x = -3
Step-by-step explanation:
i used a calculator but if u really need an explanation then let me know
Slope intercept form: y = mx + b
When a line is perpendicular to another line, its slope is the negative reciprocal to that slope.
From this information, we already know that the slope of our new line is -1/2, because -1/2 is the negative reciprocal to 2 (which is the slope of the original line).
y = -1/2x + b
Because the point (-5,3) is given, we can simply plug the x and y coordinates into our incomplete equation.
3 = -1/2(-5) + b
3=2.5 + b
b = 0.5
ANSWER: y = -1/2x + 0.5
THE GRAPH IS LINKED; RED LINE IS y=2x-3 AND BLUE LINE IS y=-1/2x + 0.5
