The function R(x) = -0.0065x² +0.23x + 8.47 models the American marriage rate R (the
number of marriages per 100 population) x years after 1960. Based on this function, in what
year was the marriage rate the highest? (Hint: The vertex of a parabola is the maximum or
minimum.)
please help
Given:
The American marriage rate R, x years after 1960 is defined by the function
[tex]R(x)=-0.0065x^2 +0.23x + 8.47[/tex]
To find:
The year in which the marriage rate is the highest.
Solution:
We have,
[tex]R(x)=-0.0065x^2 +0.23x + 8.47[/tex]
It is a quadratic function with negative leading coefficient. So, it is a downward parabola and vertex of downward parabola is maximum.
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then
[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
In the given function,
[tex]a=-0.0065,b=0.23,c=8.47[/tex]
Now, x-coordinate of vertex is
[tex]-\dfrac{b}{2a}=-\dfrac{0.23}{2(-0.0065)}[/tex]
[tex]-\dfrac{b}{2a}=-\dfrac{0.23}{-0.013}[/tex]
[tex]-\dfrac{b}{2a}\approx 17.69[/tex]
It means the marriage rate is highest after 17 years of 1960.
[tex]1960+17=1977[/tex]
Therefore, the marriage rate is highest in year 1977.
1 is 25% of what number
Answer:
4
Step-by-step explanation:
because 25% times 4 makes 100 so it is 4
i need help plz ill give brainliest
Answer:
The answer is D
Step-by-step explanation:
Hope this helps! Please mark brainliest
Helpp pls I tired to solve it out but I can’t get it
What is the value of x in the equation –2.4x = 8.4? –20.16 –3.5 3.5 20.16
Answer:
-3.5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Graph △ABC with vertices A(–6, 1), B(–3, 3), and C(–1, 0) and its image after the glide reflection.
Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-axis
Help please it's for a test!!
Answer:
Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-a
The yearly cost in dollars y for a memever at a video game arcade based on total game tokens purchased x is y=1/10x+60. A nonmember pays 0.20$ per game token but no yearly fee
Answer:
1/5x
Step-by-step explanation:
Got it right on Edge
Can somebody plz correct me and answer number 35-36
WILL MARK BRAINLIEST
Answer:
35)The way to solve this is by making the decimal a fraction, 6tenths equals 6/10.
Now we find a common denominator,lets use 30.
multiply the 6/10 by 3 to get 18/30
multiply 2/3 by 10 to get 20/30
2/3 is greater than 0.6
Step-by-step explanation:
Simply.
[tex] \frac{ab - a}{a} = [/tex]
[tex] \frac{2x + y}{y} = [/tex]
I mainly forgot how to do it. Do I divide -ab to get it alone? How do I do it?
Answer:
Required Answer:-First go to first equation[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]
Take common[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]
what is the proportion?
Answer:
a part, share, or number considered in comparative relation to a whole.
Step-by-step explanation:
i searched it up on google cause i'm dumb
A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.
Which describes the motion of the box based on the resulting free-body diagram?
A. It is moving up with a net force of 20 N.
B. It is moving to the right with a net force of 10 N.
C. It is in dynamic equilibrium with a net force of 0 N.
D. It is in static equilibrium with a net force of 0 N.
Answer:
It is in static equilibrium
Explanation:
edge 2021
The box is in static equilibrium, with a net force of 0 N.
Option D is the correct answer.
What is static equilibrium?Static equilibrium refers to a state of balance where an object is at rest and has no acceleration.
In other words, the object is not moving and is not being subjected to any external forces that would cause it to move.
We have,
The box is at rest and is not moving.
This means that the net force acting on the box is zero.
From the free-body diagram,
We know that there is a force, Ft, acting on the box, and there is an equal and opposite force, Fg, due to gravity.
Since the box is not moving, the force of friction, Ff, must also be present to balance the force of the pull.
So,
The box is in static equilibrium, with a net force of 0 N.
Thus,
The box is in static equilibrium, with a net force of 0 N.
Learn more about static equilibrium here:
https://brainly.com/question/30762026
#SPJ7
Ordena los siguientes números decimales en una tabla en la que integres en la zona azul: UM, C, D, U, Punto decimal (.), Décimos, Centésimos, Milésimos, Diezmilésimos.
a) 4567.3456
b) 78.6549
c) 7.0909
Answer:
que?
Step-by-step explanation:
At the city museum, child admission is $5.20 and adult admission is $9.50. On Friday,133 tickets were sold for a total sales of $928.10. How many adult tickets were sold that day?
Answer:
55 adult tickets were sold on Friday.
Step-by-step explanation:
A linear system will be used to model the system.
Let c be the number of child tickets and a be the number of adult tickets
Then according to given statements
[tex]a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2[/tex]
From equation 1
[tex]a = 133-c[/tex]
Putting this in equation 2
[tex]9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78[/tex]
Putting c = 78 in equation 1
[tex]a+78 = 133\\a = 133-78\\a = 55[/tex]
Hence,
55 adult tickets were sold on Friday.
I need help with this please. I already did this problem but I think I made a mistake can you please look it over?
Answer:
it is corect
Step-by-step explanation:
( √-5 + 2√20) ( -√-5)
Answer:
you cant do it
Step-by-step explanation:
because i have tryed with my calculator and it keeps on saying MATH ERROR
[AC]:CANCEL
[LEFT ARROW][RIGHT ARROW]: GOTO
YOUR WELCOME AND PLZ VOTE AS BRAINLESS
PS DAD IS IN HOTSPITAL SO I WOULD LIKE YOU TO VOTE ME AS BRAINLESS
THANK YOU AGAIN
This problem cannot be simplified at all.
Simplify 10cm:30cm
Simplify 2cm:1m
Step-by-step explanation:
Simplest form=10/30=1/3
=1cm:3cm
Simplest form=2cm:1m
1m=100cm
2:100
2/100=1/50
1cm:50cm
Answer:
Simplest form=10/30=1/3
=1cm:3cm
Step-by-step explanation:
What's the slope of this line
Answer:
slope= 1/2x-3
Step-by-step explanation:
Rise / run + the y intercept
In *W * X * Y , y = 7.8 cm angle W=26^ and angle X=76^ Find the length of w, to the nearest of a centimeter
Answer: 3.5
Step-by-step explanation:
What is the slope of this line?
y+2=−2(x−3)
Answer:
-2
Step-by-step explanation:
The final equation is y= -2x+4, so the slope is -2
Answer:
The slope is -2
Step-by-step explanation:
This equation is in point slope form
(y-y1) = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y+2=−2(x−3)
y- -2=−2(x−3)
The slope is -2 and a point on the line is ( -3,-2)
A recipe states that 5 servings of peanuts have 1,250 calories. How many servings is 375 calories of peanuts? *
Answer:
500 calories
Step-by-step explanation:
divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories
Patty is inviting her friends to a party. She has 30 snack bars 45 juice boxed, and she wants to give the same number of each item to each friend.
(GRADE7MATH) Can somebody plz answer all the questions correctly and show ur answer..thanks!!
(Only if u done this before)
WILL MARK BRAINLIEST) :D
Answer:
7. 28
8. -40
9. 36
10. -18
11. -32
12. -49
13. -33
14. 30
Step-by-step explanation:
Multiply as normal. If the signs are different, the product is negative. If the signs are the same, the product is positive.
Answer:
7. 28
8. -40
9. 36
10. -18
11. -32
12. -49
13. -33
14. 30
Step-by-step explanation:
+ × + = +
+ × - = -
- × - = +
- × + = -
Read the problems and and write the word that indicates an equation or inequality and decide whether an equation or inequality is indicated Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift certificate amount? Word/phrase?_________ Equation/Inequality_______
Answer:
Word/phrase : Equation
Equation:4x + 2 = $30
He can afford to buy 7 books without spending more than his gift certificate amount
Step-by-step explanation:
Step 1
We find the equation
Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2.
Hence,
$4 × x + $2 = $30
Where x = number of books that he can buy
4x + 2 = $30
Step 2
We solve for x
4x + 2 = 30
4x = 30 - 2
4x = 28
x = 28/4
x = 7
Hence, Brett can buy 7 books
Equation: 4x + 2 = $30
Word/phrase : Equation
He can afford to buy 7 books without spending more than his gift certificate amount
Given the expressions: 5x+2(x-4) and 7x-8 first prove that they are both equivalent and explain why your method proves this.
cordenadas cartesianas
Factor -4 out of -8d + 20.
The factored expression is
verbal expression for the following numerical expression: ( 4 + 9 ) x 3
Answer:
I don't know if I'm doing this 100% correctly but I would put:
four plus nine's total multiplied by 3
Which number is equivalent to (1/3)^-4
A.12
B.81
C.1/12
D.1/81
Answer:
B
Step-by-step explanation:
(1/3)^-4
=1/[(1/3)^4]
=1/(1/81)
=81
Brinlyn increased the amount of water she drank per day from 32 oz to 40 oz. By what percentage did Brinlyn increase the amount of water she drank each
day?
Answer:
20%
Step-by-step explanation:
Shawna is saving money to buy a new laptop. She starts her savings with $64. Each week, she adds another $17 to her savings. Graph the relationship that models the amount of money Shawna is saving. If her laptop costs $589, after how many weeks will she be able to afford the laptop?
Answer:
4 weeks
Step-by-step explanation: