The true statement about the function f(x) = -x² - 4x + 5 is that:
- The range of the function is all real numbers less than or equal to 9.
<h3 /><h3>What is the domain and range for the function of y = f(x)?</h3>
The domain of a function is the set of given values of input for which the function is valid and true.
The range is the dependent variable of a given set of values for which the function is defined.
- The domain of the function: f(x) = -x² - 4x + 5 are all real number from -∞ to +∞
For a parabola ax² + bx + c with the vertex 
- If a < 0, then the range is f(x) ≤
- If a > 0, then the range f(x) ≥
The vertex for an up-down facing parabola for a function y = ax² + bx + c is:
Thus,
- vertex = (-2, 9)
Range: f(x) ≤ 9
Therefore, we can conclude that the range of the function is all real numbers less than or equal to 9.
Learn more about the domain and range of a function here:
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Answer:
x = ± √3 = ± 1.7321
x = 1
x = -1
Step-by-step explanation:
If it correct can you give me Brainliest plz
Answer:
x=2√5
Step-by-step explanation:
<u>1st method:</u>
sin(30)=opposite/hypotenuse=√5/x
sin(30)x=√5
x=√5/sin(30)
x=2√5
<u>2nd method:</u>
cos(60)=adjacent/hypotenuse=√5/x
cos(60)x=√5
x=√5/cos(60)
x=2√5
<u>3rd method:</u>
This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5
Answer:
70 members in 2016
Step-by-step explanation:
In 2016
Let the number of members= x
They all paid y amount
Total fees= 42
Xy= 42...... equation 1
In 2017
Members= x+20
They paid y-0.1
Total fees = 45
(X+20)(y-0.1)= 45…equation 2
Xy -0.1x +20y -2= 45
Using values from equation 1
42-0.1(42/y) +20y -2= 45
-4.2/y+20y-5= 0
20y² -4.2 -5y = 0
100y² -25y -21= 0
Solving quadratically
Y= 0.6 or -0.35
We are dealing with price so y Is
definitely a positive number
Y= 0.6
If y= 0.6
Solving for x
Xy= 42
X= 42/0.6
X=70
There were exactly 70 members in 2016
