Find the time it takes for a rocket following the path, h(x) = - 3x2 + 18x, to reach a maximum. In your final answer, include all of your calculations and a verbal explanation of the process that you followed in your solution
Answer:
it is 108
Step-by-step explanation:
f (x) = -3 + 7. Find the inverse of f(x) and its domain.
O A. f-1(x) 277 - 3, where x=-7
O B. f-1(x) = +7 +3, where x# 7
c. f-1(x) = 11 – 3, where x# 3
O D. f-1(x) = + 3, where x# 3
S
Note: Your function is missing some information. It seems your function is
[tex]f\left(x\right)=\frac{-3}{x}+7[/tex].
So, I am solving the question based on the function [tex]f\left(x\right)=\frac{-3}{x}+7[/tex], because it would still solve your query.
Answer:
Please see the explanation.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\frac{-3}{x}+7[/tex]
A function g is the inverse of a function f for y = f(x), x=g(y)
[tex]y=\frac{-3}{x}+7[/tex]
Replace x with y
[tex]x=\frac{-3}{y}+7[/tex]
solve for y
[tex]y=-\frac{3}{x-7}[/tex]
so the inverse of [tex]f\left(x\right)=\frac{-3}{x}+7[/tex] will be:
[tex]f^{-1}\:\left(x\right)=-\frac{3}{x-7}[/tex]
Finding the domain of [tex]f^{-1}\:\left(x\right)=-\frac{3}{x-7}[/tex]
As we know that domain is the set of the possible input values where the function is defined.
so the function domain must be: [tex]x<7\quad \mathrm{or}\quad \:x>7[/tex]
Therefore,
[tex]\mathrm{Domain\:of\:}\:-\frac{3}{x-7}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<7\quad \mathrm{or}\quad \:x>7\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:7\right)\cup \left(7,\:\infty \:\right)\end{bmatrix}[/tex]
Helppppppppppppppppppp
Answer:
We conclude that the slope of the line that is perpendicular to [tex]y=3x+6[/tex] will be: -1/3
Step-by-step explanation:
Given the equation
[tex]y=3x+6[/tex]
Comparing with the slope-intercept form
[tex]y=mx+b[/tex]
Here, m is the slope and b is the y-intercept.
so
[tex]y=3x+6[/tex]
Here the slope of line = m = 3
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
the slope of the perpendicular line will be: -1/3
Therefore, we conclude that the slope of the line that is perpendicular to [tex]y=3x+6[/tex] will be: -1/3
A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the pitcher’s hand at a velocity of 50 feet per second. If the softball’s acceleration is –16 ft/s2, which quadratic equation models the situation correctly?
h(t) = at2 + vt + h0
a) h(t) = 50t2 – 16t + 3
b) h(t) = –16t2 + 50t + 3
c) 3 = –16t2 + 50t + h0
d) 3 = 50t2 – 16t + h0
9514 1404 393
Answer:
b) h(t) = –16t^2 + 50t + 3
Step-by-step explanation:
If you put the given values in the given equation, you get ...
h(t) = at^2 + vt + h0
where a = -16, v = 50, h0 = 3
h(t) = -16t^2 +50t +3 . . . . . matches choice B
_____
Comment on the question
The given equation models the vertical height based on a vertical velocity of 'v'. It does not apply in the case where the horizontal velocity is v = 50 ft/s. None of the answer choices correctly models the situation where the pitcher is throwing toward the catcher.
Help help help help help help
Answer:
d
Step-by-step explanation:
how many 1/4 cup servings of sugar are in a container that has 7/12 of a cup
Answer:
7/3
Step-by-step explanation:
12 divided by 4 is 3
7 divided by 1 is 7
7/12 divided by 1/4 = 7/3
– 64 – 249
Need help please
Answer:
-313?
Step-by-step explanation:
When put in a calculator, this expression is practically the same as adding both 64 and 249 together and multiplying by -1
Answer: -313
Step-by-step explanation:If you take -64 and subtract it from 249 it should bring you a difference of -313 if i am wrong please tell me. have a good one
if you don't mind can i get brainliest.
Diego and Jada were asked “How many rhombuses are in a trapezoid?”
Diego says, “113. If I put 1 rhombus on a trapezoid, the leftover shape is a triangle, which is 13 of the trapezoid.”
Jada says, “I think it’s 112. Since we want to find out ‘how many rhombuses,’ we should compare the leftover triangle to a rhombus. A triangle is 12 of a rhombus.”
Is the answer 113 or 112?
Answer
tfmjonny
Step-by-step explanation:
im a anime boy wolf in a anime wolrd
Question 1
Simplify the ratio:
$36: $12
Answer:
The ratio of 36: 12 is 3: 1
Step-by-step explanation:
36/12=3
12/12=1
Answer:
3:1
Step-by-step explanation:
$36: $12
3:1
What is the unit rate in centimeters per month
Answer:
The answer is 30 centimeters per month or 30/1
Step-by-step explanation:
Its actually pretty simple I convert it into a linear function which looks like this representing the answer
y=30x
the x represents the # of months
pls mark me as brainliest
In the figure below, WU ≅ VT. Square W V U T has point Y in the middle. Lines are drawn from each point of the square to the opposite point to form 4 triangles. Angle W T U and T U V are right angles. The congruency theorem can be used to prove that △WUT ≅ △VTU.
Answer: Answer is HL
Step-by-step explanation:C&B torture my guy I'm telling you.
Answer: HL
Step-by-step explanation:
Calculate the product using partial products. 400×45.2= 14.9×100= 200×38.4= 900×20.7= 76.2×200=
i will give brainliest
Answer:
A. 400*45.2=400*45+400*0.2=18000+80=18080
B. 14.9*100=15*100-0.1*100=1500-1=1490
C. 76.2*200=76*200+0.2*200=15200+4=15204
Step-by-step explanation:
A gymnast earned a score of 9.438 on the uneven bars and a score of 8.75 on the balance beam. How much greater was her score on the uneven bars?
Answer: 0.688
Step-by-step explanation:
Answer:
0.688
Step-by-step explanation:
9.438 - 8.75 = 0.688
Simplify.
y = (x + 1)^2-
RETRY
The simplified form of the given equation is y=x²+2x+1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is y=(x+1)².
Here, by using (a+b)²=a²+2ab+b², we get
y=x²+2x+1²
y=x²+2x+1
Therefore, the simplified form of the given equation is y=x²+2x+1.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ5
Tabitha was shooting free throws in gym class. She completed 10 of the shots, which was half of 2 more than Joan completed.
What is the number of free throws, n, that Joan completed?
A.
12
B.
22
C.
8
D.
18
Answer:
I am pretty sure the answer is B, 22
Step-by-step explanation
I have a picture and I need help
4. Lin runs 4 laps around a track in 9 minutes at a constant speed.
A. How many minutes per lap is that? (1 point)
B. How many laps per minute is that? (1 point)
C. How long would it take Lin to run 15 laps at the same rate? (1 point)
Answer:
Number of minutes per lap = 2.25 minute
Number of lap per minute = 0.444 lap (Approx)
Time taken for 15 lap = 33.75 minutes
Step-by-step explanation:
Given:
Number of laps = 4
Time taken = 9 min
Computation:
Number of minutes per lap = 9 / 4
Number of minutes per lap = 2.25 minute
Number of lap per minute = 4 / 9
Number of lap per minute = 0.444 lap (Approx)
Time taken for 15 lap = 15 x 2.25
Time taken for 15 lap = 33.75 minutes
Helene can type 40 words per minute. Maria can type 55 words per minute. If Helene and Maria each type for 30 minutes, about how many more words will Maria type?
Answer:
450 more words in the thirty minutes.
Answer:
Maria will type 450 more words than Helene
Step-by-step explanation:
Solve the equation. -18-6k = 6(1+ 3k) a) k= -2.67 b) k= -1 c) k = 1 d) k = 6
Answer: c) k = 1
Step-by-step explanation:
18 - 6k = 6 + 18k
18 = 6 + 12k
12 = 12k
1 = k
The value of k is -1.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 7 is an equation.
We have,
-18 - 6k = 6 (1 + 3k)
Solve for k.
-18 - 6k = 6 (1 + 3k)
-18 - 6k = 6 + 18k
-18 - 6 = 18k + 6k
-24 = 24k
k = -24/24
k = -1
Thus,
k is -1.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
Jennifer's bill for 6 cans of grape juice and 4 cans of apple juice was $13.10. When she got home she found out that she should have 4 cans of grape juice and 6 cans of apple juice. Although she did mess up the order, she did save 60 cents. What is the cost per can of apple and grape juice.
Step-by-step explanation:
That's the right answer.
Plz Mark brainliest.
Suppose you are interested in knowing the average weekly allowance of children who attend the Maplewood elementary schools. You take a sample of students by first taking a random sample of six classrooms and then taking a random sample from each selected classroom. This is an example of what kind of sampling design?
A. systematic sample with random start
B. single-stage cluster sample
C. stratified random sample
D. simple random sample
E. two-stage cluster sample
Answer:
B
Step-by-step explanation:
Find the missing part of the triangle.
The Bowling team played 41 matches. They won 25 more than they lost. How
many did they lose?
please i need help on this
Answer:
16
Step-by-step explanation:
The only way to solve an equation like this is to take the total matches played, which is 41, and subtract it by 25, which is 16, meaning that they must have lost 16 games.
The Candy Factory has 30 pounds of fudge. The fudge is sold in 2 1/5 pound boxes. Janie cuts the fudge, and fills as many boxes as possible.
What fractional part of a box remains after filling as many boxes as possible?
Answer:
13 7/11
Step-by-step explanation:
DIVIDE
The fractional part of a box remains after filling as many boxes as possible is 7/11
Given the following:
Amount of pounds of candy factory = 30 poundsIf the fudge is sold in 2 1/5 pound boxes., the number of boxes that can be filled is expressed as:Number of boxes filled = 30 ÷ 2 1/5
Number of boxes filled = 30 * 5/11
Number of boxes filled = 150/11
Number of boxes filled = 13 7/11
Hence the fractional part of a box remains after filling as many boxes as possible is 7/11
Learn more on proportions here: https://brainly.com/question/140018
jhvdsafwi.................
Answer: Nah bro thats too political
what is the measure of x°
Answer:
58 degrees
Step-by-step explanation:
90-32=58
This angle is a 90 degree angle
Solve x2+5x=-9 that’s all please (:
Answer:
x=-1.28571429
Step-by-step explanation:
Answer:
x = -1.28
Step-by-step explanation:
x2+5x=-9
7x = -9
x = -1.28
complete the equation of the line through (-9,-9) (-6,0)
Answer:
y=3x+18
Step-by-step explanation:
find the slope of the line with the formula m=(y1-y2)/(x1-x2) =-9-0/-9+6=-9/-3=3
then use the equation (y-y1)= m(x-x1) where you use slope m=3 and one of the points (y-0)=3(x+6), y=3x+18
Please help
I really need it!
Answer: gotchu bro its: -65
Step-by-step explanation:
answer. your answer is -65
Step-by-step explanation:
hope that helps you
A road repair crew spread 7/8 of a ton of gravel evenly over 7 feet of road. How many tons of gravel did they spread on each foot of road?
