Answers
i dont understand your question
Answer:
[tex]f(x)=-5x^2+20x[/tex]
8.75 m
Step-by-step explanation:
Given ordered pairs: (0, 0) (1, 16) (2, 20) (3, 15.5) (4, 0)
From inspection, we can see that the difference in the x-values is constant (they increase by 1 each time), yet the difference in the y-values is not constant. Therefore, the relation is not linear.
As the y-values increase from 0 to 20 and then decrease back to 0, the curve is likely to be a parabola opening downwards.
The x-intercepts are at x = 0 and x = 4, so this suggests that the axis of symmetry is x = 2, and so the vertex is (2, 20).
Creating an equation using the x-intercepts:
[tex]f(x)=a(x-0)(x-4)[/tex] where [tex]a[/tex] is some constant
[tex]\implies f(x)=ax(x-4)[/tex]
[tex]\implies f(x)=ax^2-4ax[/tex]
Creating an equation using the vertex form:
[tex]f(x)=a(x-2)^2+20[/tex]
[tex]\implies f(x)=ax^2-4ax+4a+20[/tex]
Equating constants to determine a:
[tex]4a+20=0 \implies a=-5[/tex]
Therefore, equation of best fit: [tex]f(x)=-5x^2+20x[/tex]
When x = 0.5:
[tex]\implies f(0.5)=-5(0.5)^2+20(0.5)[/tex]
[tex]=-1.25+10[/tex]
[tex]=8.75[/tex]
Therefore, an estimate for the height of the rocket 0.5 s after it's launched is 8.75 m
Related Questions
It takes a boat 2 hours to go 16 miles downstream with the current and 4 hours to return against the current. Find the speed of the boat in still water and the speed of the current.
Answers
let's recall that d = rt, or namely distance = rate * time.
b = speed of the boat
c = speed of the current
now, we know that going downstream the boat went 16 miles total, that's going only one way, so the distance the boat travels downstream as well as upstream to return is 16 miles flat.
when going downstream, the boat is not really going at "b" speed, is really going at "b + c" speed, because the current is adding its speed to it, so is really going faster than "b".
when going upstream, the boat is not really going at "b" speed" either, is really going slower at "b - c" speed, because the current is against it and thus subtracting speed from "b".
let's take a look at those in a table
[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Downstream&16&b+c&2\\ Upstream&16&b-c&4 \end{array}\qquad \qquad \begin{cases} 16=(b+c)(2)\\\\ 16=(b-c)(4) \end{cases} \\\\\\ \stackrel{16}{(b+c)(2)}~~ = ~~\stackrel{16}{(b-c)(4)}\implies 2b+2c~~ = ~~4b-4c\implies 2c=2b-4c[/tex]
[tex]6c=2b\implies \cfrac{6c}{2}=b\implies \boxed{3c=b} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{16~~ = ~~(\stackrel{b}{3c}+c)(2)}\implies 16=4c(2)\implies 16=8c \\\\\\ \cfrac{16}{8}=c\implies \blacktriangleright \stackrel{mph}{2}=c \blacktriangleleft~\hspace{10em}3(2)=b\implies \blacktriangleright \stackrel{mph}{6}=b \blacktriangleleft[/tex]
12x12x77-38x 25 answer pls
Answers
Answer:
10138 is the answer to 12x12x77-38x 25
Step-by-step explanation:
I added these step by step 12x12 = 144 x 77 = 11088 -38x 25 10138
This is the answer !!!!!!
Help help ASAP math math
Answers
Answer:
-1/1
Step-by-step explanation:
=64/-8
over
36-30+2
= -8
over
8
= -1
over
1
Answer:
[tex] \rightarrow - 1[/tex]
Step-by-step explanation:
[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{(2 \times 3) {}^{2} + ( - 5 \times 2 \times 3) + 2 }} \\ [/tex]
[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{ {6}^{2} + ( - 30) + 2 }} \\ [/tex]
[tex] \rightarrow \frac{ 64 }{ \frac{ - 12 + 4 }{ 36 + ( - 30) + 2 }} \\ [/tex]
[tex] \rightarrow \frac{ 64 }{ \frac{ - 8 }{ 8 }} \\ [/tex]
[tex] \rightarrow - \: \frac{ 64 }{ \frac{ 8 }{ 8 }} \\ [/tex]
[tex] \rightarrow - \frac{ 8 }{ 8 } \\[/tex]
[tex] \rightarrow \: - 1[/tex]
help plsssssssssssssssssssssssssssssssssssss
Answers
Answer:
84
Step-by-step explanation:
how can I be smart wear I don't need to cheat to get high grades
Answers
try your best
Step-by-step explanation:
Answer:
Study!
Step-by-step explanation:
Question 7 of 11
Two angles in a triangle have measures of 13' and 65.
What is the measure of the third angle?
A 52
B. 102
C. 78
D. 143
SUBMIT
Answers
180-78= 102 degrees
What is the value of X?
Answers
Answer:
x=7
Step-by-step explanation:
In a 45 45 90 triangle the two legs are equal so you set 33=5x-2 and then solve the equation.
The polynomial below is a perfect square trinomial of the form A^2 - 2AB + B^2
9x^2 - 18x + 36
A. True
B. False
Answers
Answer:
False
Step-by-step explanation:
[tex]9x^2-18x+36\\\\=(3x)^2- 3x \cdot 6+6^2\\\\\text{It is not in the form of}~ A^2-2AB+B^2[/tex]
Find the solution(s) to the system
y = x2-4
y = -2x – 5
Answers
Answer:
=(-1,-5)
Step-by-step explanation:
y=X1=4
y=-2x-5-2
5.Find the area of the parallelogram. *
10 m
16 m
8 m
16 m
10 m
Answers
Answer:
128 because formula is bh
Step-by-step explanation:
please i need help
This figure consists of a rectangle and semicircle. What is the area of this figure? Use 3.14 for π. Enter your answer to the nearest hundredths place in the box.
Answers
Answer:
Step-by-step explanation:
firstly the area for teh rectangle is 12 x 15 = 18are0
the area for the circle is 113.1 sq inches because pi x r squared
Judi Salem opened a law office on July 1, 2022. On July 31, the balances in the accounts were as follows: Cash $5,000, Accounts Receivable $1,500, Supplies $500, Equipment $6,000, Accounts Payable $4,200, and Owner’s Capital $8,800. During August, the following transactions occurred.
1. Collected $1,200 of accounts receivable.
2. Paid $2,800 cash on accounts payable.
3. Recognized revenues of $7,500 of which $3,000 is collected in cash and the balance is due in September.
4. Purchased additional equipment for $2,000, paying $400 in cash and the balance on account.
5. Paid salaries $2,500, rent for August $900, and advertising expenses $400.
6. Withdrew $700 in cash for personal use.
7. Received $2,000 from Standard Federal Bank—money borrowed on a note payable.
8. Incurred utility expenses for month on account $270.
Answers
Step-by-step explanation:
what is that called into the comet or ok
Evaluate 14 - (2x - y), when x = 3 and y = 2 - -
.A) -7
.B) 10
.C) 13
.D) 18
20 POINTSS
Answers
10
solve:
14 - (2(x) - y)
given x : 3, y : 2, insert the following
14 - (2(3) - 2)14 - (6-2)14 - 410[tex]\\ \rm\rightarrowtail 14-(2x-y)[/tex]
[tex]\\ \rm\rightarrowtail 14-2x+y[/tex]
Put values[tex]\\ \rm\rightarrowtail 14-2(3)+2[/tex]
[tex]\\ \rm\rightarrowtail 14-6+2[/tex]
[tex]\\ \rm\rightarrowtail 10[/tex]
Mutilply lookin for the best results
Answers
Answer:
D, [tex]\frac{7(x-4)}{6}[/tex]
Step-by-step explanation:
Basically you have to simplify the (x² - 16). Since it is the difference of 2 squares, it's simplified as (x + 4)(x - 4). Now that everything is simplified, you can start doing the multiplication.
[tex]\frac{(x+4)(x-4)}{6x} *\frac{7x}{(x+4)}[/tex], You can cancel out the (x+4)'s
[tex]\frac{(x-4)}{6x} *{7x}[/tex], There is a common factor between 7x and 6x. The common factor is x. So cancel out both "x".
You end up with this, [tex]\frac{7(x-4)}{6}[/tex]
please help i will mark as brainlest please help me
the answers are supposed to be
a) 8.37 cm b)54.5 cm c) 10.4 cm
Answers
Answer:
A.Step-by-step explanation:
Here is how I found it:
Flip the picture 180°.Then, measure the angle.Required:
The angle is 90°.If you don't pay attention, you might mistake it for a 150° angle.Correct choice is A.
what is 5(m-2) equil to
Answers
Answer:
5m - 10
Step-by-step explanation:
Use distributive property;
5(m - 2)
(5 x m) (5 x -2)
5m - 10
Is quadrilateral ABCD angle is equals to 60 degrees Angle B is equals to 80 degrees and angle C is equals to 120° find angle d
Answers
Angle D=360-(60+80+120)
=100 degrees
The number 1 is a common factor of _________.
A) all odd numbers
B) all even numbers
C) all whole numbers
Answers
Step-by-step explanation:
The number 1 is a common factor of C) all whole numbers
Answer:
C
Step-by-step explanation:
6 / 1 = 6. 5 / 1 = 5. every whole number is divisble by 1, even prime numbers.
If 4–(x – 4) = 1 over 16 what is the value of x?
Answers
Answer:
4x+4=16
4x= 16–4
4x= 12
x= 12/4
x= 3
Alternatively,
4x+4=16
Taking 4 common,
4 (x+1) = 16
x+1 = 16/4
x+1 = 4
x = 4–1
x = 3
Step-by-step explanation:
The value of x is 68.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Parts of an Equation
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.
Given equation:
4/(x - 4) = 1 /16
Now, solving for x
4/(x - 4) = 1 /16
64 = x - 4
x= 68
Hence, the value of x is 68.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
How many different outcomes are possible when three coins are flipped at the same time?
Answers
Answer:
8
Step-by-step explanation:
Now consider an experiment of tossing three coins simultaneously. The possible outcomes will be HHH, TTT, HTT, THT, TTH, THH, HTH, HHT. So the total number of outcomes is 23 = 8.
Answer:
8
Step-by-step explanation:
Pls help me what’s the answer
Answers
Answer:
the answer is D...... ..........
Answer:
226,080 cm3
Step-by-step explanation:
Chapter 1 Test
What is the simplified form of the expression 3 + 8x - 2y - x + 1 + 4y? Enter your answers in the boxes.
X +
ly+
Answers
Answer:
7x+4+2y is your answer
9 ft
58.5 ft
33 ft
16.5 ft
Answers
no spammers pls and also giving brainliest to correct answer
Answers
you can tell from the angles being the same and the measurements of triangle c being 2/3s of triangle b's measurements.
The sides are in the ratio 3:2
And the angles and same: 37 degree, 53 degree and 90 degree
If you want to be 99% confident of estimating the population mean to within a sampling error of 14 and the standard deviation is assumed to be 14, what sample size
is required?
The sample size required is
(Round up to the nearest integer.)
In
Help me solve this
View an example
Get more help
Clear all
Check answer
Answers
Answer:
16641
Step-by-step explanation:
Thank you!
Natalie randomly answered the last three
true-or-false questions on her math quiz.
What is the probability that she got at least
two correct?
Answers
The probability that Natalie got at least two correct on the last three
true-or-false questions is 1/4.
What is the probability that Natalie got at least two correct?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The sample space is 2. The question is either correct or wrong.
The probability that Natalie got at least two correct = 1/2 x 1/2 = 1/4
To learn more about probability, please check: https://brainly.com/question/795909
The value of A is .
The value of B is .
Answers
Answer:a=10 b=35
Step-by-step explanation:
1*8=8 1.25*8=10
1*28=28 1.25*28=35
Write the Equation of the conic.
12. A circle with endpoints of a diameter at(1, -3) and (1,3).
Need help please thanks
Answers
Answer:
(x² -1) + y² = 9
Step-by-step explanation:
diameter=6 so radius means 6/2=3 (thus,radius²=3²=9)
centre (1 and midpoint of diameter is at y=0, so 1,0)
Express √12+√27 in the form n√3, where n is an integer.
Answers
Answer:
5sqroot3
Step-by-step explanation:
see image.
An integer is just a whole positive or negative (positive in this case) number that's not a fraction or decimal or mixed number. In the answer that is the 5.
To simplify a radical, look for a factor that is a perfect square. Radicals and multiplying are very friendly to each other and you can separate the "radicand" (the inside number) into factors inside the radical also into separate radicals to simplify. See image
What is the coefficient of x in 4+[tex]3y^{2}[/tex]+x?
ASAP PLS ANSWER
Answers
Hello!
Please remember that
The coefficient is the number before a variable.Example:
4T+5H
In this example, the coefficient of T is 4, and the coefficient of H is 5.
So let's identify the coefficient of x.
It seems like x doesn't have a coefficient, but it does.
It's equal to 1.
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)