Use graphing technology to find the range of the function f(x)=-x^2+6x-3
Answers
Answer:
The range of the function is [-∞,6]
Step-by-step explanation:
Range of a Function
It's the set of values the function takes when x moves into the function's domain.
It can be graphically determined by placing imaginary horizontal lines from minus infinite to plus infinite. Where the line meets the function, that value of y belongs to the range.
The given function is:
[tex]f(x)=-x^2+6x-3[/tex]
Using a graphing tool, we draw the graph shown in the image below.
It can be clearly seen that if we imagine horizontal lines from above y=6 to infinity, they won't ever touch the graph of the function. From y=6 and below, every horizontal line will touch the function one time or twice.
We can conclude the range of the function is [-∞,6]
Related Questions
Which of the following is expanded form of ( x-5)2
Answers
Answer:
2x -10
Step-by-step explanation:
(x-5)2=
use 2 to multiply the bracket (x-5)
that is 2x-10
A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint
Answers
Answer:
A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint
Step-by-step explanation:
Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.
To make color pink,
for every 3 cups of red , we need 7 cups of white.
Let 'r' be the cups of red required
let 'w' be the cups of white required
so , as per the question
for 3 r we need = 7 w
r = 7/3 w
so, 7/3 is constant of proportionality
A soccer player practices kicking the ball into the goal from halfway down the soccer field. The time it takes for the ball to get to the goal from the time it is kicked averages about three seconds. The soccer field is 90 meters long. The player wants to know the average velocity of the ball.
Is there enough information to calculate this?
A: No, only average speed can be calculated from the distance of 90 meters and the time of three seconds.
B: No, only average speed can be calculated from the distance of 45 meters and the time of three seconds.
C: Yes, displacement is 45 meters, elapsed time is three seconds, and the direction is toward the goal.
D: Yes, displacement is 90 meters, elapsed time is three seconds, and the direction is toward the goal.
Answers
Answer: D
Step-by-step explanation:
the distance is 90m and the time is max 3 to goal so the answer is D
8 less than 5 times a number
Answers
Answer:
5x - 8
Step-by-step explanation:
Unable to solve completely.
Answer:
8< 5x
Step-by-step explanation:
We know that the 8 is less than 5 times a number, so we first put 8 <.
From here, we have the value 5 being multiplied by a number, that number can be any variable unless that specifically state which variable to use.
Hope this helps! :)
(Side Note: If you're talking about inequalities this should work, if not then I'm sure others will post different answers.)
What is the solution of 12(2z + 1) = 3(8z + 4)
Answers
Answer:
0
Step-by-step explanation:
24z + 12 = 24z + 12
0z = 0
0
Answer:
many solutions or infinite solutions
Step-by-step explanation:
12(2z + 1) = 3(8z + 4)
ok simplify it
24z + 12 = 24z + 12
there's many solutions no matter what you do you'll end out in this
Solve the inequality.
negative 2 times left parenthesis 6 plus s right parenthesis is greater than or equal to negative 15 minus 2 s
Answers
We distribute the left side of the inequality.
-12 - 2s >_ -15 - 2s
Add 2s on both sides.
They cancel out, and we’re left with:
-12 >_ -15
This is surprisingly a true statement, so s = 0 in order for us to end up with this again.
Hopefully it’s right. Good luck!
i need help this is timed i will mark u as brainliest.
Answers
Answer:
-8
Step-by-step explanation:
np
Answer:
I'm not very sure but it might be 12.
I'm very sorry if this is incorrect and I am going to vote myself 2 stars so you see this last
i-i dont deserve these points
( 4.5 x 10 ⁴ ) ÷ (300) =
Answers
Answer:150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
Please help me with this
Need help with both
Answers
Answer: (a) = b, 49/64
Step-by-step explanation:
what is Midsegment of a Triangle Theorem
Answers
Answer: The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.
Step-by-step explanation:
What is the discriminant of the equation 3x^2-4=2x
Answers
Given equation : 3x² - 4 = 2x
We have to find discriminant of the equation [tex].[/tex]
⭆ 3x² - 4 = 2x
⭆ 3x² - 2x - 4 = 0
By comparing this equation with ax²+bx+c, we get
a = 3b = -2c = -4Discriminant (D) = b² - 4ac
⭆ D = (-2)² - 4(3)(-4)
⭆ D = 4 + 48
⭆ D = 52
Hope It Helps!−6.5(n−5)=18.2 what is the value of n?
Answers
Answer: The value of n is 2.2
Step-by-step explanation:
solve by substitution
y = -21 – 4x
8x + 8y = -24
Answers
x=-6
y=3
Explanation:
y=-4x-21
8x+8y=-24
y=-4x-21
8x+8(-4x-21)=-24
y=-4x-21
-24x-168=-24
y=-4x-21
x=-6
y=-4(-6)-21
x=-6
y=3
x=-6
(-6,3) this is in point form in case you need it
What is the greatest common factor of 21, 35, and 49?
Answers
Answer:
GCF = 7
hope this helps
Answer:
:)
Step-by-step explanation:
21 = 3 • 7, 35 = 5 • 7, 49 = 72
go add the snap carmel.bratz
A thin human hair is about 1.7 x 1- to the power of -5 meter in diameter. write this measurement in standard notation.
Answers
Answer:
Nut
Step-by-step explanation:
nut
Which equation represents the unit fraction shown in the diagram? A grid model with 100 squares. 20 squares are shaded.
Answers
Answer:
20 over 100 = 1 over 5
Step-by-step explanation:
Boleslaw: How many yards for 8 uniforms?
Answers
One uniform equals 12 yards, so multiply 8x12 and you get 96 yards.
What is the perimeter of the rectangle?
5 feet
6 feet
12 feet
X 36 feet
Answers
Answer: I think the answer is b
Step-by-step explanation:
60000/23/35767755x100000=? whats he answer?
Answers
Answer:7.293428542
Step-by-step explanation:Calulator :D
What is 65% written as a decimal?
A. 0.065
B. 0.65
C. 6.5
D. 65
Answers
Answer:
b.0.65
Step-by-step explanation:
i think it is I'm sorry if it's not
Answer:
b. 0.65
Step-by-step explanation:
2 in every 7 students will need
glasses before they turn 15. If
there are 203 students in the
freshman class, how many will
need glasses before they turn 15?
Answers
2/7 x 203 is 58
How do I find the z score that separates the middle 37% of the distribution from the area in the tails of the standard normal distribution
Answers
Step-by-step explanation:
I hope this answer is Wright
You can use a calculator if you want :)
Answers
Answer:
A. -0.02
Step-by-step explanation:
-[tex]\frac{5}{25}[/tex]=-[tex]\frac{1}{5}[/tex]
1/5 is 20%
-1/5 is -20%
-.02% is greater because it's closer to zero
what is 385/6 as a proper fraction
Answers
Answer:233/6
Step-by-step explanation:
385/6=233
Jake and Logan are partners in business. Jake makes $2in profit for $5 that Logan makes. if Logan makes $20 profit on the first item they sell, how much profit does jake make
Answers
Answer:
Jake will make 8$
Step-by-step explanation:
20/5=4
4x2=8
a faucet is leaking at a constant rate of 6/10 of a gallon of water in 3/4 of an hour. how much water leaks in 1 hour?
Answers
Answer:
0.8
Step-by-step explanation:
6/10=0.6
0.6/3=0.2
0.2*4=0.8
I hope it's correct
write two proper fractions whose denominators are not the same, but whose least common denominator is 12 pls google won't help
Answers
Answer:
3/4 and 2/3....different denominators.....common denominator is 12
4. Julie saw 3 eagles each day she went bird-watching. How
many eagles did Julie see in 6 days?
Answers
9514 1404 393
Answer:
18 eagles
Step-by-step explanation:
Assuming Julie went bird-watching on each of those 6 days, she saw a total of ...
(3 eagles/day)(6 day) = 3·6 eagles = 18 eagles
What is the slope of the trend line drawn into the scatterplot?
A. 15/163
B. 11/109
C. 109/11
D. 163/15
Answers
Answer:
C.) 109/11
Step-by-step explanation:
because I am on the exam right now
Krista drove 48 miles per hour for 8 hours. How far did krista drive
Answers
Answer:
She drove 384 miles, because 48 x 8 = 384! :)
Step-by-step explanation:
The distance driven by krista is 384 miles.
How to find the distance?If the object is going linearly, and at constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units time, then that object's speed is
[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
Given;
speed = 48 miles per hour
time = 8 hours
Speed= distance/time
distance= speed x time
= 48 x 8
= 384 miles
Krista drove 384 miles of distance in 8 hours.
Learn more about distance here;
https://brainly.com/question/7359669
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