Answers
===========================================
Plug in x = 0
f(x) = 2x^2 + 5
f(0) = 2(0)^2 + 5
f(0) = 5
Plug in x = 2
f(x) = 2x^2 + 5
f(2) = 2(2)^2 + 5
f(2) = 13
Now use the formula below to find the average rate of change (AROC) from x = a to x = b
AROC = ( f(b) - f(a) )/( b-a )
AROC = ( f(2) - f(0) )/( 2-0 )
AROC = ( 13 - 5 )/( 2 - 0)
AROC = 8/2
AROC = 4
-----------------
This is the same as finding the slope of the line through (0,5) and (2,13)
m = (y2 - y1)/(x2 - x1)
m = (13-5)/(2-0)
m = 8/2
m = 4
Related Questions
Graph the line with slope -3 passing through the point (5,1) .
Answers
Answer:
Step-by-step explanation:
Graph a line given a point and a slope
Plot the given point.
Use the slope formula to identify the rise and the run.
Starting at the given point, count out the rise and run to mark the second point.
Connect the points with a line.
How many shares of Lombard Incorporated traded on the 17th?
Answers
Answer:
Step-by-step explanation:
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A price increases from $50 to $120. What is the percentage change?
Answers
Answer: 140%
Step-by-step explanation:
From the question, we are informed that price increases from $50 to $120. The percentage change will be:
= (New price - Old price)/Old price × 100
= (120 - 50)/50 × 100
= 70/50 × 100
= 1.4 × 100
= 140%
Sachiko is framing the border of a square picture. If she knows the area of the picture, how could Sachiko determine the amount of framing material she needs to buy? Divide the area by 2, and then multiply the quotient by 4. Set the area equal to x2, solve for x, and then multiply the value of x by 4. Set the area equal to x3, and then solve for x. Set the area equal to x2, solve for x, and then divide the value of x by 4.
Answers
Answer:
Set the area equal to x2, solve for x, and then multiply the value of x by 4.
Step-by-step explanation:
The area of the picture is given by
A = s^2 where s is the side length
Let the side length be x
A = x^2
Take the square root of each side
sqrt(A) = sqrt(x^2)
x = sqrt(A)
We want to find the perimeter since we are framing the border
P = 4s since the picture is a square
P = 4 * x
Answer:
B.
Step-by-step explanation:
Let's let x represent the side length of the square.
Since the picture is a square, all the lengths are the same. Moreover, the area of the square is x times x or x squared. Thus:
[tex]A=x^2[/tex]
The amount of framing Sachiko needs is represented by the perimeter of the square. The perimeter of a square is determined by the formula:
[tex]P=4x[/tex]
Now, if Sachiko knows the area and she wants to find the perimeter, she can do the following:
First, the area is equal to x^2. So, she should first just find the length itself. So her first step should be to set the area equal to x^2 and then solve for x.
Then, when she has found her length, she just need to multiply it by 4 to get the perimeter or the amount of framing she needs.
Thus, the answer is choice B.
Pls don't delete just answer the ones u know pls hwlp pls
Answers
Answer:
1. 1 + 1 x 4 ÷ 1 = 8
Hope this helps.
What is the relationship between centimeters and inches?
Answers
Answer:
What do you mean like the the ratio of cm to inches?
Step-by-step explanation:
?
X^3 divided by X^2=?
Answer choices:
A)x
B)xX^5
C)x^6
D)x^10
Answers
Answer:
x
Step-by-step explanation:
you subtract
Daniel wants to open an account to purchase a new computer. He was able to put $750 into an account that pays him 8.5% interest. The cost of the computer he wants is $1,150.00. How long will he have to wait to withdraw the money?
Answers
Answer:
Daniel has to wait around 5.24 years to withdraw the money.
Step-by-step explanation:
We are given that Daniel wants to open an account to purchase a new computer. He was able to put $750 into an account that pays him 8.5% interest. The cost of the computer he wants is $1,150.00.
Let the Principal sum of money be represented by 'P'.
The rate of interest be represented by 'R'.
The time period be represented by 'T'.
The final amount of money be represented by 'A'.
Assuming the interest given is compound interest.
So, the formula for calculating the amount of money is given by;
[tex]\text{A} = \text{P} \times (1-\text{R})^{\text{T}}[/tex]
Here, A = $1,150, P = $750, R = 8.5% and let the time he have to wait to withdraw the money be 'n'.
So, putting these values in the above formula we get;
[tex]\text{A} = \text{P} \times (1+\text{R})^{\text{T}}[/tex]
[tex]\text{\$1,150} = \text{750} \times (1+\text{0.085})^{\text{n}}[/tex]
[tex](1+\text{0.085})^{\text{n}} = \frac{\$1,150}{\$750}[/tex]
[tex](1+\text{0.085})^{\text{n}} = 1.533[/tex]
Taking log on both sides;
[tex]\text{n} \times ln(1+\text{0.085}) = ln(1.533)[/tex]
[tex]n = \frac{ ln(1.533)}{ ln(1.085)}[/tex]
n = 5.24 years
Hence, he has to wait around 5.24 years to withdraw the money.
Ao cobrar uma falta em um jogo de futebol, uma jogador imprime à bola a uma velocidade de 43,2 km/h. Sabendo que a bola gasta 3 s até atingir as redes, determine a distância percorrida? A)16m B)36m C) 30m D)12m E) 24m
Answers
Answer:
B
Step-by-step explanation:
Nesta questão, estamos interessados em calcular a distância percorrida se um jogador correr a uma velocidade de 43,2 km / h por 3 segundos.
Matematicamente; a distância percorrida = velocidade * tempo
O problema que temos aqui é que nossas unidades não são consistentes.
A melhor maneira de fazer isso é ter unidades consistentes em metros por segundos e segundos, pois nossa resposta está em metros.
Portanto, a conversão que precisamos fazer aqui é converter 43,2 km / h em metros por segundo Matematicamente, sabemos que existem 1000 m em um quilômetro.
Da mesma forma, uma vez que 60 segundos fazem um minuto e 60 minutos fazem uma hora, o número de segundos em uma hora é 60 * 60 = 3.600 segundos
Assim, convertendo 43,2 km / h em m / s, temos; (43,2 * 1000) / 3600 = 12 m / s
Portanto, a distância percorrida em metros seria agora; velocidade em m / s * tempo em segundos = 12 m / s * 3 segundos = 36 m
Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawals or deposits since then. If her interest rate is 8% each year, how much interest has accrued using simple interest? Total Interest = $ What is Tarah's new total balance? New Balance Total = $
Answers
Answer:
Total- 617.48 Interest- 258.48
Step-by-step explanation:
First, we need to find out what 8% of 359 is.
.08 times 359 = 28.72. This is how much interest is gained in a year. Since she waited 9 years, we multiply 28.72 by 9 and get 258.48. This is the total interest.
Now we just add 258.48 and 359 to get 617.48.
Answer:
617.48
Step-by-step explanation:
SI = P x R x T / 100
SI = Simple Interest
P = Principal
R = Rate
T = Time
SI = 359 x 9 x 8 / 100
=> SI = 2872 x 9 /100
=> SI = 25848 /100
=> SI = 258.48
New Balance = Principal + Simple Interest
=> New Balance = 359 + 258.48
=> New Balance = 617.48
A bee flies at 20 feet per second directly from a flowerbed to its hive. The bee stays at the flowerbed for 13 minutes, and then flies directly back to the hive at 16 feet per second. It is away from the hive for a total of 15 minutes. Write and equation let d be the distance from the flowerbed to the hive.
Answers
Answer:
The flowerbed is 1066.7 feet away from the hive.Heather cut away 6.22 meters of rope. Before that, she had 9 meters of rope. How much rope does Heather have left?
Answers
Answer:
2.78 meters
Step-by-step explanation:
Subtract 6.22 from 9
9 - 6.22
= 2.78
So, she had 2.78 meters of rope left
Answer:
[tex]\huge\boxed{\mathrm{2.78\ meters}}[/tex]
Step-by-step explanation:
Heather had = 9 meters
She cut away = 6.22 meters
Heater have left:
=> 9 - 6.22
=> 2.78 meters
Evaluate: 6x2 + (9y-2)+y when x= 3 and y=8.
Answers
Answer:
98
Step-by-step explanation: All you have to do is multiply 6 by 3 and then multiply that answer by 2. Then you multiply 9 by 8 and subtract 2, then you add all that together and finally, subtract it by 8
Answer:
The answer is 402.
Step-by-step explanation:
First thing to do is substitute the variables.
6(3)^2+(9(8)-2)+8
Now, multiply and subtract what is in the parenthesis.
6(3)^2+(72-2)+8
6(3)^2+70+8
Now, multiply once again.
18^2+70+8
Now, simplify the exponents.
324+70+8=402
help me find x please
Answers
Answer:D
Step-by-step explanation:
Hope that helped
Answer:
its in the balls
Step-by-step explanation:
A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the width. Material for the base costs 13 dollars per square meter. Material for the sides costs 9 dollars per square meter. Find the cost of materials for the cheapest such container.
Answers
Answer:
419.25
Step-by-step explanation:
The calculation of the cost of materials for the cheapest such container is shown below:-
We assume
Width = x
Length = 2x
Height = h
where, length = [tex]2 \times width[/tex]
Base area = lb
= [tex]2x^2[/tex]
Side area = 2lh + 2bh
= 2(2x)h + 2(x)h
= 4xh + 2xh
Volume = 24 which is lbh = 24
[tex]h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}[/tex]
Now, cost is
[tex]= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}[/tex]
now we have to minimize C(x)
So, we need to compute the C'(x)
[tex]= 52x - \frac{648}{x^2}[/tex]
C"(x) [tex]= 52x - \frac{1,296}{x^3}[/tex]
now for the critical points, we will solve the equation C'(x) = 0
[tex]= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}[/tex]
[tex]C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0[/tex]
So, x is a point of minima that is
= [tex](\frac{648}{52} )^\frac{1}{3}[/tex]
Now, Base material cost is
[tex]= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}[/tex]
= 139.75
Side material cost is
[tex]= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }[/tex]
= 279.50
and finally
Total cost is
= 139.75 + 279.50
= 419.25
The cost of the side material is $279.50, the cost of the base material is $139.75 and the total cost is $419.25 and this can be determined by using the arithmetic operations.
Given :
A rectangular storage container with an open top is to have a volume of 24 cubic meters.The length of its base is twice the width.Material for the base costs 13 dollars per square meter.Material for the sides costs 9 dollars per square meter.Let the width of the rectangular storage container be 'x' then according to the given data the length is '2x' and let the height of the container be 'h'.
The base area of the rectangular storage container is given by:
Base Area = [tex]2x^2[/tex] ----- (1)
The side area of the rectangular storage container is given by:
Side Area = 2(2x)h + 2xh
= 6xh ---- (2)
Now, the volume of the rectangular storage container is given by:
Volume = lbh
Put the values of known terms in the above equation.
24 = [tex]2x^2h[/tex]
[tex]h = \dfrac{12}{x^2}[/tex]
Now, the cost is given by:
[tex]\rm C(x)=13(2x^2)+9(6xh)[/tex]
[tex]\rm C(x)= 26x^2 + \dfrac{648}{x}[/tex]
Now, to minimize C(x) differentiate the C(x) with respect to x.
[tex]\rm C'(x)=52x -\dfrac{648}{x^2}[/tex] ---- (3)
Now, equate the above equation to zero.
[tex]0 = 52x =\dfrac{648}{x^2}[/tex]
[tex]x = \sqrt[3]{\dfrac{648}{52}}[/tex]
Now, differentiate equation (3) with respect to x.
[tex]\rm C"(x) = 52+\dfrac{1296}{x^3}[/tex]
Now, put the value of x in the above equation.
[tex]\rm C"(x) = 52+\dfrac{1296}{\dfrac{648}{52}}[/tex]
[tex]\rm C"(x) = 52+104[/tex]
[tex]\rm C"(x) = 156 > 0[/tex]
Therefore, 'x' is the point of minima.
Now, the cost of the base material is:
[tex]= 13\times 2 \times (\dfrac{648}{52})^\frac{2}{3}[/tex]
= $139.75
Now, the cost of the side material is:
[tex]=\dfrac{648}{\sqrt[3]{\dfrac{648}{52}} }[/tex]
= $279.50
Therefore, the total cost is given by:
= 139.75 + 279.50
= $419.25
For more information, refer to the link given below:
https://brainly.com/question/21835898
Question 1
n+ 19 = 40
What does n equal?
Answers
Answer:
Hey there!
n+19=40
-19=-19
n=21
Let me know if this helps :)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ n = 21}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{n + 19 = 40}[/tex]
Move 19 to right hand side and change it's sign
⇒[tex] \sf{n = 40 - 19}[/tex]
Subtract 19 from 40
⇒[tex] \sf{n = 21}[/tex]
Hope I helped!
Best regards!!
Can someone please help me?
Answers
Answer:
the angle EBA is 25
Step-by-step explanation:
abc is an straight angle it means 180 , so if DBC is 130 you should make a substraction ( abc- dbc) it will give you the other part that acomplish the 180 of abc , and if it is divided by the half it hould be 25 each
find square root of 2x2x3x3x4x4
Answers
square root = 24
Step-by-step explanation:
2x2x3x3x4x4 =576
Answer:
24
Step-by-step explanation:
2x2x3x3x4x4
= 2x3x4=24
Help on both questions please!! Ty
Answers
Since angle A = Angle E
Therefore, Angle B (=x) = Angle D
B = X
D = 66
By replacement B = X = D = 66
So, B = 66
Answer is (A)
-------------
Second question’s answer:
Since Angle F = 63 & Angle C = (3X + 3)
Therefore, Angle F = Angle C
63 = (3X + 3)
Add (-3) into each side
63 + (-3) = (3X + 3) -3
3x + -3x = 0
63 + -3x = 3 + 0
63 + -3x = 3
Now, Add '-63' to each side of the equation
63 + -63 + -3x = 3 + -63
63 + -63 = 0
0 + -3x = 3 + -63
-3x = 3 + -63
3 + -63 = -60
-3x = -60
Divide each side by '-3'
x = 20
So, X angle value is 20 (X=20)
The answer is (C)
Good luck!
What value of a makes x/2 + 4= 8 true?
Answers
Answer:
x = 8
Step-by-step explanation:
x/2 + 4 = 8
x/2 = 8 - 4
x/2 = 4
x = 4*2
x = 8
Probe:
8/2 + 4 = 8
4 + 4 = 8
Answer:
x = 8
Step-by-step explanation:
Subtract 4 from each side to cancel out the positive 4. It should now look like this: x/2 = 4Multiply each side by 2. It should now look like this: x = 8Therefore, x equals 8.
Write a fraction equivalent to 3/5 that has a denominator of 100.
Answers
Answer:
60/100
Step-by-step explanation:
We know that 20 goes into 100 5 times, so we multiple numerator and denominator by 20 to get an equivalent fraction:
[tex]\frac{3}{5} (\frac{20}{20} )=\frac{3(20)}{5(20)} =\frac{60}{100}[/tex]
what is the distance between -2 and 5
Answers
Answer:
7
Step-by-step explanation:
To find distance on a number line you add and 2+5=7
Please help with #32
Answers
Answer:
The temperature at 10 pm was -1 degrees and the arrows helped you understand when the temperature increased and decreased.
Step-by-step explanation:
At 8 am, we know that the temperature is -3 degrees, or 3 degrees below zero. By 1 pm, the temperature has risen by 14 degrees and is now 11 degrees. We know this because -3+14=11. Now by 10 pm, the temperature has dropped 12 degrees which means that it's -1 degrees. (11-12=-1) The plot points would be all of the temperatures, or -3, 11, and -1. The arrows you need to draw are from -3 to 11 (an increase) and from 11 to -1 (a decrease). Drawing the arrows this way represents the temperature at different times and how it changed over time.
find the midpoint of the line segment joining points A(6,-5) and B(,6,1)
Answers
Explanation:
The two given points have x coordinates of x = 6 each. They add to 6+6 = 12. Divide this in half to get 12/2 = 6. Since the x coordinates were both the same, the midpoint x coordinate is the same as well.
The y coordinates are a bit more interesting. Add them up to get -5+1 = -4. Then cut this in half to get -4/2 = -2. The y coordinate of the midpoint is -2.
Overall, the midpoint is (6, -2)
Answer:
the answer is (6.-2)...
Rearrange the equation so q is the independent variable. -7q + 12r = 3q - 4r
Answers
Answer:
q = 8/5r or q = 1.6r
Step-by-step explanation:
-7q + 12r = 3q - 4r
+7q +7q
12r = 10q - 4r
+4r +4r
16r = 10q
/10 /10
16/10 = 8/5 8/5 = 1.6
q = 8/5r or q = 1.6r
What is the median of the following numbers?
6,4,1,9, 3, 8,3,5, 10
Answers
Answer: The median is 5
Step-by-step explanation:
The median is the middle number after being arranged from least to greatest.
So arrange the numbers from least to greatest.
1,3,3,4,5,6,8,9,10
So the middle number in this set is 5
Binomial (x – 6) and trinomial (–2x2 + x + 9) are the factors of which of the following polynomials?
Answers
Answer:
The polynomial is -2x³ + 13x² + 3x - 54.
Step-by-step explanation:
The binomial expression is: (x - 6)
The trinomial expression is: (-2x² + x + 9)
Multiply the two expressions to determine the resulting polynomial as follows:
[tex](x-6)(-2x^{2}+x+9)=x(-2x^{2}+x+9)-6(-2x^{2}+x+9)[/tex]
[tex]=-2x^{3}+x^{2}+9x+12x^{2}-6x-54\\=-2x^{3}+13x^{2}+3x-54[/tex]
Thus, the polynomial is -2x³ + 13x² + 3x - 54.
The distance between 4 and 17 is _____
Answers
Answer:
The answer is 13
Step-by-step explanation:
The distance between 4 and 17 is 13 because addition
The distance between 4 and 17 is 13 units.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that the two numbers are 4 and 17.
The distance between 4 and 17 is calculated as below:-
To calculate the distance subtract the value 4 from the value 17.
Distance = 17 - 4 = 13 units.
Therefore, the distance between 4 and 17 is 13 units.
To know more about Expression follow
https://brainly.com/question/723406
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What is the value of x in the figure below? In this diagram, AABD - ACAD.
Answers
===================================================
The right triangles are similar, allowing us to form the proportion below
BD/AD = AD/DC
5/AD = AD/9 .... substitution
5*9 = (AD)*(AD) .... cross multiply
45 = (AD)^2
(AD)^2 = 45
AD = sqrt(45) ... apply square root
We could simplify but your teacher has decided not to. If you want to simplify, then
AD = sqrt(45)
AD = sqrt(9*5)
AD = sqrt(9)*sqrt(5)
AD = 3*sqrt(5)
--------
Segment AD is the geometric mean of BD and DC.
AD = sqrt(BD*DC)
which is the result of solving BD/AD = AD/DC for AD
So,
AD = sqrt(BD*DC)
AD = sqrt(5*9)
AD = sqrt(45)
Wendy thinks the perfect chocolate chip cookie has 353535 chocolate chips for every 555 ounces of dough. Cookie Club makes batches of chocolate chips cookies with 100100100 chocolate chips and 151515 ounces of dough.
Answers
Answer:
Wendy will think cookie club chocolate cookies are not chocolatey enough
Step-by-step explanation:
Wendy thinks the perfect chocolate chip cookie has 35 chocolate chips for every 5 ounces of dough. Cookie Club makes batches of chocolate chips cookies with 100 chocolate chips and 15 ounces of dough. What will Wendy think about Cookie Club's cookies?
Perfect chocolate chip cookie=35 chocolate chips for every 5 ounces of dough
Wendy's perfect chocolate chip cookies = 35 chocolate chips for every 5 ounces of dough
= 35 : 5
=7:1
Cookie club chocolate chips cookies=100 chocolate chips for every 15 ounces of dough
=100 : 15
=20 : 3
Cookie club chocolate cookies have 3 times the amount of dough
Therefore,
Wendy will think cookie club chocolate cookies are not chocolatey enough
Answer:
Not choclatey enough
Step-by-step explanation: