What is the vertex of the quadratic function f(x)=(x-6)(x+2)
Answers
For this case we have the following function:
We rewrite the function making distributive property.
We have then:
To find the vertex of the function, we derive:
We equal zero and clear the value of x:
We evaluate the function for the value of x obtained:
Then, the vertice of the parabola is:
Answer:
the vertex of the quadratic function f(x)=(x-6)(x+2) is:
Related Questions
A system in a noisy environment transmits 11111 or 00000 when 1 or 0 are transmitted to decrease the probability of error. Suppose the probability that one of the 5 transmitted bits is corrupted from 1 to 0 is 0.3 and the probability that a bit is corrupted from 0 to 1 is 0.1. Given that the probability that the system transmits a 0 or a 1 is equally likely, if 01101 was received what is the probability that a 1 was transmitted.
What is the approximate area of the shaded sector in the circle shown below? A) 26.5 cm^2 B) 11.78 cm^2 C) 5.89 cm^2 D) 53.0 cm^2
Lois is 3 years older than Oscar. The sum of their ages is no more than 20. Write an inequality that can be used to represent this situation, where x represents Oscar’s age.
don't pay attention to my work right there because I'm not sure if it's right, the correct answer is c because the teacher say it was c but I don't know how he got that please help and explain pls
Answers
Answer:
Step-by-step explanation:
The volume of a right circular cone is given by the formula,
where is the height of the cone.
We can deduce the radius from the circumference of the cone.
It was given that the circumference is 8.3 in.
The volume of the cone now becomes;
The volume of the cone to the nearest tenth is 35.4 cubic inches to the nearest tenth.
Final answer:
By calculating the radius from the given circumference, we can find the volume of a right circular cone with the height of 19.4 inches and a base with a circumference of 8.3 inches to be 33.3 cubic inches.
Explanation:
To calculate the volume of a right circular cone, we need to know the radius, r, and the height, h.
The formula to find the volume, V, of a cone is V = 1/3*π*r²*h.
Given that the height, h, is 19.4 inches, we need to find the radius.
Since the given circumference, C, is 8.3 inches and the formula for circumference is 2*π*r, we can calculate the radius. Solving 8.3 inches = 2*π*r for r gives us r≈1.3 inches.
Then, inserting the values of r and h in the volume formula gives V = 1/3*π*(1.3)²*19.4≈ 33.3 cubic inches.
Rounding to the nearest tenth gives the volume as approximately 33.3 in³.
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a. True
b. False
Answers
Answer:
false on folks em grave
Step-by-step explanation:
Answers
Layla had the higher score by 20 points.
Step-by-step explanation:
Given,
Points for correct answer = 10 points
Points for incorrect answer = 20 points
Loss means subtraction;
Therefore,
Total points of Ji = Correct answers*10 - Incorrect answers*20
Total points of Ji = 7*10 - 3*20
Total points of Ji = 70 - 60
Total points of Ji = 10 points
Total points of Layla = Correct answers*10 - Incorrect answers*20
Total points of Layla = 5*10 - 1*20
Total points of Layla = 50 - 20
Total points of Layla = 30 points
Difference = Points of Layla - Points of Ji
Difference = 30 - 10 = 20 points
Layla had the higher score by 20 points.
Keywords: multiplication, subtraction
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Answers
If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.
The multiplier for increasing by 25% is:
(100 + 25) ÷ 100 = 1.25
So on day one, there are 64 responses. That means on day two, there will be:
---> 64 x 1.25 = 80 responses
On day 3, there will be:
---> 80 x 1.25 = 100 responses
Finally, on day 4, there will be:
---> 100 x 1.25 = 125 responses
A quicker way of getting this would be to do:
64 x 1.25³ since you are multiplying by 1.25 3 times
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Answer:
125 responses
Answer:
125
Step-by-step explanation:
meh . . .
Answers
distance time
45 ft 3.0 s
87 ft 5.8 s
166.5 ft 11.1 s
210 ft 14.0 s
Final answer:
The expression for the distance traveled by the bike rider can be found using the formula Distance = Speed × Time. The table shows the distances traveled for different values of s.
Explanation:
To find the expression for the distance traveled by the bike rider after s seconds, we use the formula: Distance = Speed × Time. In this case, the speed of the rider is 15 feet per second. So the expression for the distance traveled after s seconds would be: Distance = 15s feet.
To create a table that records the distance for different values of s, we substitute the given values of s into the expression to find the corresponding distance. Here is the table:
- After 3.0 seconds, the distance traveled is 15 × 3.0 = 45 feet.
- After 5.8 seconds, the distance traveled is 15 × 5.8 = 87 feet.
- After 11.1 seconds, the distance traveled is 15 × 11.1 = 166.5 feet.
- After 14.0 seconds, the distance traveled is 15 × 14.0 = 210 feet.
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