Answer:
44.9%
Step-by-step explanation:
you can find the probability by dividing the total number of people by the number of people who have run a red light:
385/857
simplify into a decimal:
0.449
convert into a percent to get your answer:
44.9%
Answer:
8
Step-by-step explanation:
Set up a ratio problem:
25 hours/2 tests = 100 hours/x
25x = 200
x = 8
Factorizing an expression involves writing the expression in simpler forms
The values of z are 
or 
The equation is given as:
Expand the equation
Factorize the expression:
Factor out z - 4
Split
or 
Solve for z
or
Hence, the values of z are or
Read more about factorization at:
brainly.com/question/11579257
Answer:
Step-by-step explanation:
we know that
Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.
so
where
a, b and c are the length sides of triangle
s is the semi-perimeter of triangle
we have
<em>Find the semi-perimeter s
</em>
s=
Find the area of triangle
simplify
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
