Answer:
[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]
Step-by-step explanation:
From the given information:
Let assume the population is denoted by L
The rate of change of the young adults per year given can be represented as;
[tex]\dfrac{dL}{dx}= -x^2 +90x - 200[/tex]
where;
x = 0 since 2010
[tex]dL = -x^2 +90x -200 dx[/tex]
[tex]L = \int( -x^2 +90x -200 ) \ dx[/tex]
[tex]L = - \dfrac{1}{3}x^3 + 45x^2 -200x +C[/tex]
here;
L(0) = 31000
∴
[tex]- \dfrac{1}{3}(0)^3 + 45(0)^2 -200(0)+C= 31000[/tex]
C = 31000
[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]
What is the degree of the polynomial below?
7x^5+6x^3+ 4x + 2
A. 0
B. 3
C. 1
D. 5
Reason: It's the largest exponent
When a polynomial is written in standard form like this, the term with the largest exponent is written first, then the next largest and so on. So in cases like this, we simply need to look at the left-most term; however, this may not always be the case as your teacher could easily mix up the terms to make sure you're paying attention.
This is considered a quintic polynomial due to the degree of 5.
The regional transit authority for major metropolitan area wants to determine whether this relationship between the age of a bus and the annual maintenance cost. A sample of 10 buses resulted in the data located in the attached file above. Answer the following questions: Create a scatter chart using the data from the provided Excel file above. What does the scatter chart indicate about the relationship between age of a bus and annual maintenance cost
Answer Answer:
The scatter plot indicates that a positive linear relationship exists between the age of a car and its maintenance cost. This is depicted by the positive slope direction which indicates the maintainance cost of the car is will increase as the age of the car increases. If the correlation Coefficient of the data was calculated, a correlation Coefficient value of about 0.934 will be obtained.
Step-by-step explanation:
Check answer
Select the correct answer.
Which function is the inverse of function
f(x) = -2
Answer:
B
Step-by-step explanation:
let f(x) = y and rearrange making x the subject
y = [tex]\frac{x+2}{7}[/tex] ( multiply both sides by 7 to clear the fraction )
7y = x + 2 ( subtract 2 from both sides )
7y - 2 = x
Change y back into terms of x with x the inverse function, that is
p(x) = 7x - 2
Find the inverse function of the function f(x) = 5x/7
f-(x) = -7x/5
f-'(x) = – 5x/7
f-l(x) = 5x/7
f-'(x) = 7x/5
What is the area of figure below?
===========================================
Work Shown:
A = area of trapezoid
A = height*(base1+base2)/2
A = 9*(16+10)/2
A = 9*26/2
A = 9*13
A = 117
---------
B = area of triangle
B = base*height/2
B = 6*8/2
B = 48/2
B = 24
----------
C = area of entire figure
C = A+B
C = 117+24
C = 141 square inches
We can write "sq in" or "in^2" as shorthand for "square inches".
If f(x)
2x + 3, find f(-2)
Answer:
2x+3
f(-2)=:2x+3
2(-2)+3
-4+3
= -1
What times 4 gives me 1/5
Answer:
0.05
Step-by-step explanation:
Because 1/5 divided by 4 gives you 0.05 or 1/20
One of the major objectives of the 'Reduce, Reuse, Recycle campaign is to reduce the consumption of plastics. In
addition to reducing their volume in landfills and as a source of marine pollution, what is another major advantage
reduced manufacturing of plastics?
A)
reducing the use of petroleum
reducing the consumption of water
C)
generating more demand for glass containers
D)
more income for producers of reusable containers
the answer is the letter A
Translate into equations, but do not solve:
a The sum of two consecutive odd integers is 52?
Answer:
X + (X + 2) = 52
Step-by-step explanation:
Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:
X + (X + 2) = 52
2X + 2 = 52
X = (52 - 2) / 2
X = 50/2
X = 25
X + 2 =?
25 + 2 = 27
Therefore, the consecutive odd integers are 25 and 27.
if m<1=25 what is the measure of an angle that is complementary to <1
Answer:
65°
Step-by-step explanation:
The sum of the measures of complementary anfglwes is 90°.
Let a = the measure of the complement.
m<1 + a = 90
25 + a = 90
a = 65
What is perimeter of 300 315 55
What is the value of X equal?
Answer:
113º
Step-by-step explanation:
(x + 14) + (180 - 83) + x + 90 + x = 540
3x + 201 = 540
3x = 339
x = 113
HELP PLS +10 BRAINLY POINTS (SHOW WORK PLS)
Hi there!
[tex]\large\boxed{\text{System G.}}[/tex]
For a system to have an infinite number of solutions, both expressions must be equal. We can go through each system and determine this:
F:
x + 2 = y
4 = 2y - x
If we rearrange so that both are in the same format, we get:
x + 2 = y
x + 4 = 2y
These cannot be equal, so they do not have infinite solutions.
G:
2y + 6 = 4x
-3 = y - 2x
Rearrange:
2y + 6 = 4x
-y - 3 = -2x
We can try to make the bottom equation look like the top equation by multiplying all terms by -2. We get:
2y + 6 = 4x. This is the same as the top, so G has infinite solutions.
Just to be sure, we can go through the others:
H:
y + 3 = 2x
4x = 2y - 3
Rearrange:
y + 3 = 2x
2y - 3 = 4x. Cannot be equal to the other equation.
J:
y = 2x - 5
y = 2x - 2. Not equal.
The correct answer is G.
Which expression is equivalent to (1/16)^-4
Pls help 30 points timed
Is 3.24538 rational
Answer:
yes
Step-by-step explanation:
3.24538 is rational
What is the name of this poligon?
A. Rhombus
B. trapezoid
C. rectangle
D. Square
Answer:
the correct answer is A. Rhombus
The answer is D (Square)
Because the sides of a square are equal.
(1.2 x 10^4)+(2.5 x 10^3)
HELP TIMED----AND NO BOTS WITH /BIT
A segment which goes through two points of a circle is a …
Arc
Chord
Diagonal
Radius
Secant
what dose 2 + 2 = ?????????
Answer: 4
Step-by-step explanation:
Just add
Answer:
4
Step-by-step explanation:
just add or if you can't then use a calculator
how to find the vat on 14% of 1800
Answer:
[tex]14 \ 100 \1800[/tex]
The nth term of sequence is n2 + 20
Work out the first three times of sequence
How many times in the sequence are less than 50
Answer:
First three terms:
22,24,26
There are 15 terms in the sequence that are 50 or less, yet only 14 if its just less than 50.
Answers:
The first three terms are 21, 24, 29
5 terms of the sequence less than 50.
======================================================
Explanation:
Plug in n = 1 to find that n^2+20 = 1^2+20 = 1+20 = 21. The first term is 21.
Repeat for n = 2 and you should get 2^2+20 = 24 as the second term.
The third term is 29 through similar steps, but this time you use n = 3 of course.
The first three terms are 21, 24, 29
It's effectively the first three perfect squares 1, 4, 9 but we have a tens digit of 2 stuck to the left of each value.
--------------------
We want to find when n^2+20 is less than 50. We could keep plugging values of n into that expression and record if the result is less than 50 or not, then tally those occurrences. You should record 5 such occurrences.
Or we could do a bit of algebra like so
n^2+20 < 50
n^2 < 50-20
n^2 < 30
sqrt(n^2) < sqrt(30)
n < sqrt(30)
On a calculator, sqrt(30) is roughly 5.4772 which means n < 5.4772. If n is a a natural number, then the largest it can get is n = 5 to ensure n^2+20 is less than 50.
We can see that,
n^2+20 = 5^2+20 = 45 when n = 5n^2+20 = 6^2+20 = 56 when n = 6This helps show that n = 5 is the largest n to make n^2+20 < 50 a true statement. This means that there are 5 terms of the sequence less than 50.
Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth.
x squared + 12 x + 11 = 0
a.
x = -11 or x = -1
c.
x = 10 or x = -3
b.
x = 1 or x = 6
d.
x =0 or x = -6
Please select the best answer from the choices provided
A
B
C
D
Answer:
answer a
a.
x = -11 or x = -1
Find the value of x and y
Answer:
x = 30, y = 15
Step-by-step explanation:
x = 2*15 = 30
(Central angle is twice the inscribed angle standing on the same arc.)
Similarly,
y = 15
(Base angles of isosceles triangle are equal)
Solve for x. Round to the nearest tenth, if necessary.
P.
х
50°
Q
R
4.2
Answer:
5.0 =x
Step-by-step explanation:
Since this is a right triangle
tan theta = opp side/ adjacent side
tan 50 = x / 4.2
4.2 tan 50 = x
5.005365089 =x
Rounding to the nearest tent
5.0 =x
Plz help me well mark brainliest if correct!!..
Answer: A/The LINE graph
Step-by-step explanation:
Kindly solve ½=4/?, What's going to be the answer? Thank you
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
1/2 = 4/8
Which expression is equivalent to 4(2x + 5) ? Replace the x with a 2
Answer:
8x+20
36
Step-by-step explanation:
4(2x) + 4(5)
= 8x +20
Hence,
Substituting 2 into 8x+20:
8(2)+20
= 36
Feel free to mark it as brainliest :D
Leia needs to make at least 40 necklaces to sell at a craft show. So far, she has made 7. Which inequality shows the
number of necklaces, n, that she still needs to make?
A). n - 7 less than or equal to 40
B) n - 7 greater than or equal to 40
C). n + 7 less than or equal to 40
D). n + 7 greater than or equal to 40
Answer:
The answer is D
Hope this helps!
Brainliest??
Answer:
D
Step-by-step explanation:
the answer is D because if she already made 7 she need to add n to 7 to get 40 or greater
Please help I am super confused and would really appreciate it ♥️♥️♥️♥️
x---- independent variable
f(x)--- dependent variable(can also be "y")
The dependent variable (fx) is the output or you can say... For every value of the independent variable (x)...There's a unique value for the dependent variable.
Ok... Lemme explain
Say you have an equation
f(x)=2x+1
let x be take value from all natural Numbers (1,2,3..….)
When x is 1
f(x) = f(1) = 2(1)+1
=3
when x is 2
f(x)=f(2) = 2(2)+1 =5.
So for every x value... There's a unique value for f(x).
You dig?
Now
let's proceed to your question.
We're already given tbe values of x and f(x)
What we now need to find is the equation that corresponds to the values being gotten
From the table
When x =1 ...….f(x)=8
When x=2 .........f(x) = 32
When x=3 ...........f(x)=128
Etc
Which equation from the options will give you these values of f(x)???
You're gonna have to test run it quickly by puttinh values of x and see if they'll give the corresponding value of f(x).
Fun right?
OK. From Observation....
OPTION A WILL DO THE JOB.
f(x)=2.4^t where "t" represents x in this case.
Input your values of x in this
You'll get the exact f(x) value
Eg
when x= 1... f(x)= 2.4¹ =8
x=2 ..….f(x) = 2. 4² = 2.16 = 32.
OPTION A IS OUR ANSWER.
HAVE A GREAT DAY BRO!
What is the slope of the line in the graph?
Options:
-4/3
-3/4
3/4
4/3
Answer:
Option 2: -¾
Step-by-step explanation:
First identify 2 points on the line.
(0, 1), (4, -2)
Substitute the coordinates into the gradient formula below:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.
Slope of the line
[tex] = \frac{1 - ( - 2)}{0 - 4} [/tex]
[tex] = \frac{1 + 2}{ - 4} [/tex]
[tex] = - \frac{3}{4} [/tex]
☆ Since the line is sloping downwards looking from the left to right, the line must have a negative slope.