Function A is represented by the equation y=2 x+5
Function B is a linear function that goes through the points shown in the table.
Which statement correctly compares the rates of change of the two functions?
Answers
Answer:
The rate of change is the same for both A and B (2)
Step-by-step explanation:
In the equation, the rate of change is shown as the coefficient of the variable x. That is the number before the x which is 2.
In the table you find the rate of change as the change in y over the change in x. In the table the y's are increasing by 4 (3- -1), 2 (5-3) and 4 (9-5). The x's are increasing by 2 (3-1), 1 (4-3) and 2 (6-4).
If I take the change in y over the change in x, I will get 4/2 = 2, 2/1 = 2 or 4/2 = 2
From the table the rate of change is also 2.
Related Questions
HELP ME OUT THANKS SO MUCH
Answers
Hope this helps
Answer:
R would equal 12
Step-by-step explanation:
Find the sum of the arithmetic sequence 1, 3, 5, 7, … , 99.
Answers
The sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given sequence is 1, 3, 5, 7, … , 99.
It is a arithmetic sequence, the difference between two consecutive terms will be same
d=3-1=2
first term a=1
l=last term =99
We need to find 99 is which term in the sequence
Aₙ = a + ( n - 1 ) d
99=1+(n-1)2
99=1+2n-2
99=2n-1
100=2n
Divide both sides by 2
50=n
Now we need to find the sum of 50 terms
Sₙ=n/2(l+d)
=50/2(99+2)
=25(101)
=2525
Hence, the sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525
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A function's graph is shown below.
If you would like to enlarge the graph or make numbers and letters easier to read, you may click on it to open it in a new window. You may then enlarge that window with your mouse. To further enlarge the image, use your browser's zoom capabilities. On a PC this is usually ctrl shift + (and zooming out is ctrl -). On an Apple computer this is usually apple shift + (and zooming out is apple -).
Use interval notation to answer the following questions.
The domain of this function is ?
The range of this function is ?
Answers
The domain and the range of the function are given as follows:
Domain: (-2,3].Range: [-8, 2).How to obtain the domain and the range of the function?The domain of a function is composed by the set that contains all possible values assumed by the input of the function.
On a graph, the input of the function is given by the values of x, hence the domain of the graphed function is given by the following interval:
(-2,3].
The meaning of the circles on the intervals is of:
Open circle: open interval.Closed circle: closed interval.The range is composed by the set containing all the values assumed by the output of the function.
Hence, on the graph, the range is composed by the values of y of the function, which are given as follows:
[-8, 2).
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please help with this
Answers
Answer: There are multiple answers.
Step-by-step explanation: To find x...simply ad together what you have (The numbers given) and subtract from 180.
(I did this a while ago, don't take my word for it)
Given L(-6, -7) and M(3, 6), what is the length of LM to the nearest tenth?
LM
Answers
Answer:
LM ≈ 15.8
Step-by-step explanation:
calculate the length d using the distance formula
d = [tex]}\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = L (- 6, - 7 ) and (x₂, y₂ ) = M (3, 6 )
LM = [tex]\sqrt{(3-(-6))^2+(6-(-7))^2}[/tex]
= [tex]\sqrt{(3+6)^2+(6+7)^2}[/tex]
= [tex]\sqrt{9^2+13^2}[/tex]
= [tex]\sqrt{81+169}[/tex]
= [tex]\sqrt{250}[/tex]
≈ 15.8 ( to the nearest tenth )
3F furniture dealer has always sold its merchandise through 4 company-operated
stores. Last year sales were birr 1million and net profit was 8% of sales. Fixed
costs were birr 170,000. As a result of shifting population and increased
competition, the four locations have become less desirable. 3F is considering
eliminating its retail stores in favor of door-to-door selling. It is estimated that
sales would increase by 25% and net profit by birr 30,000. Fixed costs would
increase by birr 30,000 because operations would be moved to a low-rent
warehouse. Required
a) What was the break-even point under the old situation?
b) What will be the break-even point under the proposed situation?
c) What birr sales volume must be obtained under the proposed plan to make as
much profit as last year?
Answers
The break-even point under the old situation is 680000, the break-even point under the proposed situation is 806451 and the birr sales volume must be obtained under the proposed plan to make as much profit as last year is 1129032.
Define breakeven point.In economics, business, and particularly cost accounting, the break-even point is the point at which total cost and total income are equal, or "even." Although opportunity costs have been paid and capital has obtained the risk-adjusted, projected return, there is no net loss or gain, and one has "broken even."
In the given question, last year sales= birr 100000
net profit= 8% of sales
Fixed costs= birr 170000
Estimated sales increase= 25%
Estimated net profit= birr 30000
Increase in fixed cost due to moving to low-rent warehouse= birr 30000
(a) The break-even point under the old situation (X):
= 100,000 * a - 170,000
=1,000,000 * 8%
a= 25% (net profit)
X*a= 1170,000
X=680,000
That is, the break-even point under the old situation is 680000.
(b) The break-even point under the proposed situation is:
= 1,250,000 x b - 170,000- 30,000
= 80,000 + 30,000
b= 24.8%
X*b=200,00
X=806451
The break-even point under the proposed situation is 806451 and
(c) The birr sales volume must be obtained under the proposed plan to make as much profit as last year is:
X*b -200,000= 80,000
X*b = 280,00
X= 1,129,032
The birr sales volume must be obtained under the proposed plan to make as much profit as last year is 1129032.
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Suppose a mutual fund has total assets of $25,500,000 and liabilities of $2,100,000. Currently there are 10,200,000 shares outstanding. Determine the net asset value of the fund? Round to the nearest cent. Show your work
Answers
The net asset value of the given mutual fund will be 2.29.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Division = divide any two numbers or variables called division.
Multiplication = to multiply any two or more numbers or variables called multiplication.
As per the given,
Total assets = $25,500,000
Liabilities = $2,100,000
Total shares = 10,200,000
Net asset = (total assets - total liability)/total shares outstanding
Net assets = (25,500,000 - 2,100,000)/10,200,000
Net assets = 2.29
Hence "The net asset value of the given mutual fund will be 2.29".
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C. Solve the following;
1. Elisse has 20 meters of ribbon. How many 15 cm of ribbon can be cut from it?
2. Mr. JB has a rectangular lot that measures 550 meters by 0.75 km. What is the area of the land in square meter. He is selling the whole lot for 206, 250,000 pesos, how much is the price per square meter?
3. Drinking 8 glasses of water a day is good for your health. If each glass of water is equivalent to 148 mL, how many liters of water you need to consume everyday.
4. Your baby brother has a body temperature of 100°F. What is his body temperature in °C ? Does he has a normal body temperature?
5. Your mother asked you to buy 2.5kg of sugar. Each pack of sugar in the store weighs 250 grams. How many packs of sugar will you buy?
6. The 120 grams powdered milk make 12 cups of milk. How many kilograms of powdered milk can produce 60 cups of milk. How many liters is 60 cups of milk?
7. You have 8 modules to study in a day. Your teacher gave you this schedule for 5 days from Monday to Friday.
Answers
Answer:
133, 412500, 500, 1.184, 37.8, 10, 0.6
Step-by-step explanation:
If we think about how many centimeters are in a meter, we know that
1m = 100cm
Using this, we can see that
20m = 2000cm
Now divide by 15:
2000 ÷ 15 ≈ 133
She can make roughly about 133 ribbons.
To solve the next question, we need to know how many kilometers are in a meter
1km = 0.001m
Let's covert 0.75 into m:
0.75 × 1000 = 750
Now solve for the area:
750 × 550 = 412500
The area of the rectangle is 412500
If he is selling the home for 206,250,000 pesos,
206,250,000 divided by 412500
206,250,000 ÷ 412500 = 500
The price per square meter is 500
If each glass is 148 milliliters, and we need to convert that into liters, we can use the equation:
1L = 1000mL
So converting 148 into liters,
148mL = 0.148L
Now, multiply by 8.
0.148 × 8 = 1.184L
We need to convert 100 Fahrenheit to Celsius.
100 F ≈ 37.8
This is definitely not a normal body temperature.
We can convert grams to kilograms using the equation:
1kg = 1000 g
Converting 2.5kg to g would look like this:
2.5kg = 2500g
250g × 10 = 2500g
We need to buy 10 packs of sugar.
If 120 grams of powdered milk can produce 60 cups of milk, and we need to figure out how many kg can produce the same amount, we use the equation:
1kg = 1000g
Converting 120g to kg would look like this:
120 ÷ 1000 = 0.120
Now, we need to figure out how many times 12 goes into 60.
12 × 5 = 60
Now we multiply 0.120 by 5
0.120 × 5 = 0.6
I hope this helps!
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Answers
Answer: 23.1, 13.35718336 years or 14 rounded
Step-by-step explanation:
[tex]Given:A= 23.1e^{0.0152t}[/tex]
when A = end amount, and t = years after 2000
Part A).
What was the population of the state in 2000. According to our function, this would be when t = 0
[tex]23.1e^{0.0152(0)}\\\\=23.1(1)\\\\=\boxed{23.1}[/tex]
Part B).
When will the population of the state reach 28.3 million?
This would be when A = 28.3
[tex]28.3=23.1e^{0.0152t}\\\\\frac{28.3}{23.1} =\frac{23.1e^{0.0152t}}{23.1} \\\\\frac{28.3}{23.1} =e^{0.0152t}\\\\ln^{\frac{28.3}{23.1} }=ln^{e^{0.0152t}}\\\\ln^{\frac{28.3}{23.1} }=0.0152t\\\\t=\frac{ln^{\frac{28.3}{23.1} }}{0.0152} \\\\\boxed{t=13.35718336 \ \ years}[/tex]
5. Find the volumes of the following sugar containers. Round to
Domino 1 decimal place.
SUGAR
a. Domino granulated sugar in canister: radius-1.56 inches;
height-6.93 inches
in³
b. Domino sugar cubes in box: length-15.5 cm; width-8.6 cm;
height-3.8 cm.
Domino
SUGAR CUBES
cm³
Answers
The volume of the canister is 36.7 in³. The volume of box is 482.6 cm³
To find the volume of a canister, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
In this case, the canister has a radius of 1.56 inches and a height of 6.93 inches,
volume of canister = π × (1.56 inches)² × 6.93 inches
volume of canister = 36.7 in³
To find the volume of a box, we can use the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
In this case, the box has a length of 15.5 cm, a width of 8.6 cm, and a height of 3.8 cm
volume of box = 15.5 cm × 8.6 cm × 3.8 cm
volume of box = 482.6 cm³
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HELP PLEASE!
The answer choices are
A) 240
B) 270
C) 210
D) 120
Answers
If the rotation is clockwise the angle is 120°.
If the rotation is counterclockwise the angle is 240°
The correct options are A and D.
What is the angle of rotation that maps P to G?
We assume that the rotation is clockwise.
First, we can see that the rotation from P to F is just a rotation of 90°.
(point P as at 9 on a clock and point F is at 12 on a clock).
To go from point F to G, we need to move one of the sections defined by the dashed lines, and we know that each one of these measures 30°, then we need to add another 30° to the angle.
90° + 30° = 120°
Then the angle of rotation to map P to G is 120°.
The correct option is D.
Then if the rotation is counterclockwise, the rotation will be of 240°.
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-4x+11y=-32
-9x+4y=11
elimination
Answers
Answer:
x = -3; y = -4
Step-by-step explanation:
We can start by eliminating x, which will give us y:
[tex]9(-4x +11y=-32)\\-4(-9x+4y=11)\\\\-36x+99y=-288\\36x-16y=-44\\\\83y=-332\\y=-4[/tex]
Now we can plug in -4 for y in the first equation to find x:
[tex]-4x+11(-4)=-32\\-4x-44=-32\\-4x=12\\x=-3[/tex]
A carpenter states that it will take 21.5 hours
to build the deck. If the carpenter charges
$24.00 per hour, how much will the carpenter
be paid?
F
$45.50
G
$129.00
H
$504.00
J $516.00
Answers
Answer:
The carpenter will be paid $516.00
Step-by-step explanation:
1. Multiply
(Since the carpenter is being paid per hour, and the pay is $24.00, and the time it takes to work is 21.5, we can set up this equation):
21.5 x 24.00 = $516.00
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A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to make, and the cordless model requires 10 hours. The company has only 1000 work hours to use in manufacturing each day, and the packaging department can package only 200 trimmers per day.
(a) Write the inequalities that describe the constraints on the number of each type of hedge trimmer produced. (Let x represent the number of cord-type models, and let y represent the number of cordless models.)
Answers
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:
x + y ≤ 200
2x + 10y ≤ 1000
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Total number of hours = 1000
Total number of trimmers = 200
Let x represent the number of cord-type models,
Let y represent the number of cordless models.
Now,
x + y ≤ 200
2x + 10y ≤ 1000
Thus,
The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:
x + y ≤ 200
2x + 10y ≤ 1000
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Sydney owes her mother $5 and her brother owes her mother $7.Graph the integers that represents the amount they owe their mother as negative integer on a number line.How much more will her brother have to reap their than Sydney ?
Answers
Answer:
Sydney will have to pay -5, and her brother will have to pay -7. Her brother will have to pay $2 more than Sydney.
Step-by-step explanation:
Determine the domain of the rational function ƒ(a) = 3/a+5
Answers
Answer:
domain { a ∈ R , a ≠ - 5 }
Step-by-step explanation:
the denominator of f(a) cannot equal zero as this would make f(a) undefined. Equating the denominator to zero and solving gives the value that a cannot be.
a + 5 = 0 ( subtract 5 from both sides )
a = - 5 ← excluded value
domain { a ∈ R, a ≠ - 5 }
Bisecting Bakery sells cylindrical round cakes. The most popular cake at the bakery is the red velvet cake. It has a radius of 17 centimeters and a height of 13 centimeters.
If everything but the circular bottom of the cake was iced, how many square centimeters of icing is needed for one cake? Use 3.14 for π and round to the nearest square centimeter.
3,203 cm2
2,295 cm2
1,020 cm2
731 cm2
Answers
Answer:
283 cm^2
Step-by-step explanation:
hi your welcome
Answer:
Step-by-step explanation:
radius = r = 17
height = h = 13
First calculate the total surface area =
2πr (r + h)
2 (3.14) 17 (17 + 13)
2 (3.14) 17 (30)
6.28 (17)(30)
106.76 (30)
3202.80 cm²
Then subtract the area of the bottom base of the cake:
Base of the cake is the area of the round base
π r² = 3.14 (17)²
3.14 (289) = 907.46 cm²
Subtract area of base from total surface area:
I am rounding:
3203 - 908 = 2295 cm²
Second option or B
What is an equation of the line that passes through the points (4, 4) and (8, 5)?
Answers
Answer:
y=0.25x+3
Step-by-step explanation:
use desmos graphing calculator and put the coordinates into a table
Chris bought a guitar for $77.00 and sold it for $126.28. What percent profit did Chris make on the guitar
Answers
Answer:
ten is the fight one
Step-by-step explanation:
True
Answer:
39%
Step-by-step explanation:
126.28 minus 77 is 49.28.
49.28 divided by 126.28 is 0.39 and a bunch of other numbers but round it up and its 0.39. move the decimal to the right two places and youve got 39%
hope this helped!
Kathryn invests $1000 in one account and $2200 in an account paying 3 % higher interest. At the end of one year she had earned $130 in interest. At what rates did she invest?
Answers
She invested $1000 at 2% and 2200 at 5% simple interest.
What is simple interest?We know simple interest (SI) is given by SI = (p×r×t)/100, where
p = principle, r = rate in percentage, and t = time in years.
Given, P₁ = 1000, P₂ = 2200, assuming r₁ = x% and r₂ = (x + 3)% and the sum of simple interest obtained from both these investments is $130.
∴ (1000×x×1)/100 + {(2200×(x + 3)×1}/100 = 130.
10x + 22x + 66 = 130.
32x = 64.
x = 2.
So, the rate of interest is 2% and 5%.
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Consider a political discussion group consisting of 9 Democrats, 9 Republicans, and 5 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Democrats.
Answers
Hence, the probability of selecting two Democrats is [tex]45[/tex].
What is the probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.
The meaning of probability is basically the extent to which something is likely to happen.
Here given that,
Consider a political discussion group consisting of [tex]9[/tex] Democrats, [tex]9[/tex] Republicans, and [tex]5[/tex] Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention.
Let us assume ,
The discussion of the democratic is [tex]x_1=9[/tex].
The discussion of the democratic is [tex]x_2=9[/tex].
The discussion of the democratic is [tex]x_3=5[/tex]
So, the total number of candidates are
[tex]x_t=x_1+x_+x_3\\\\=9+9+5\\\\=23[/tex]
Probability of independate candidate from the group of candidates is
[tex]P_1=\frac{x_3}{x_t}\\\\P_1=\frac{5}{23}\\\\[/tex]
As, the remaining number of candidates after the selectio of the independent candidate is
[tex]x_r=x_t-1\\\\x_r=23-1\\\\x_r=22[/tex]
Now, the remaining number of candidates from the group of total remaining candidates is
[tex]P_2=\frac{x_1}{x_r}\\\\P_2=\frac{9}{22}[/tex]
So, the probability of an independent Democrat using the probability is
[tex]P=P_1[/tex] × [tex]P_2[/tex]
[tex]P=\frac{5}{23}[/tex] ×[tex]\frac{9}{22}[/tex]
[tex]P=\frac{110(207)}{506}\\\\P=\frac{22770}{506}\\\\P=45[/tex]
Hence, the probability of selecting two Democrats is [tex]45[/tex].
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A triangular banner for the basketball championship hangs in the gym. It has an area of 48 square feet. What is the length of the base and height (in ft), if the base is two-thirds of the height?
Answers
From the area of a triangle, the height of the triangle is 12ft
Area of TriangleThe area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, which is given by
A = 1/2 b * h
A = Area of triangleb = baseh = heightIn the given question, the base is two-thirds of the height.
b = 2/3h
Let's substitute the values into the formula
A = 1/2 * 2/3h * h
A = 2/6 * h²
A = 1/3h²
48 = 1/3h²
h² = 48 * 3
h = √144
h = 12ft
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Select all of the verbal phrases which can be represented by the expression 25.75x + 10
Answers
Answer:
B: 25.75 times a number x, plus 10 | D: the product of 25.75 and x, plus 10
Step-by-step explanation:
B: 25.75 times "x" = 25.75x + 10
D: The product of 25.75 and x = 25.75x + 10
When Terri makes fruit salad she uses 4 oranges and 3 cups of grapes for every 2 bananas. If Terry uses five bananas how many oranges and how many cups of grapes will she use? Write and solve a proportion
Answers
Answer:
7.5 cups of grapes
Step-by-step explanation:
4o:3g:2b
With 5b, there's an increase in 2.5 from 2b. (divide 5b/2b)
Since the increase in all the other fruits is proportional by the same amount of 2.5.
This leaves you with 10o:7.5g:5b
Graph stuff
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Answers
The quadratic equation y = x² - 8 · x + 18 represents the parabola shown in the figure.
How to derive the quadratic equation behind the graph of the parabola
In this problem we find a representation of a parabola, which is described algebraically by quadratic equations, that is, polynomials of the form:
y = a · x² + b · x + c
Where a, b, c are the coefficients of the polynomial.
We can determine the value of the coefficients from the knowledge of three points set on Cartesian plane. First, select the points from Cartesian plane:
(x₁, y₁) = (0, 18), (x₂, y₂) = (4, 2), (x₃, y₃) = (7, 11)
Second, create a system of linear equations with three variables and three equations by replacing the variables x and y on the quadratic equation:
c = 18
16 · a + 4 · b + c = 2
49 · a + 7 · b + c = 11
Third, solve the system by numerical methods:
(a, b, c) = (1, - 8, 18)
Fourth, write the resulting quadratic equation:
y = x² - 8 · x + 18
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Which of the following is a requirement for employees who must wear PPE?
Answers
The option that's a requirement for employees who must wear PPE is C. Participate in PPE training.
What is a personal protective equipment?Personal protective equipment (PPE) is clothing that is comfortable to wear in order to reduce the risk of hazards at work that cause serious illnesses and injuries.
Personal protective equipment (PPE) will be divided into the following categories for this purpose: eye and face protection, hand protection, body protection, respiratory protection, and hearing protection.
Personal protective equipment (PPE) should be used when all other measures to control exposure are ineffective. It only protects the wearer while they are wearing it. PPE offers no protection if it fails.
All personal protective equipment should be designed and built safely, and it should be kept clean and reliable. It should be comfortable for workers to use. Personal protective equipment that does not fit properly can mean the difference between being safe and being dangerously exposed. Employers must provide personal protective equipment to their employees and ensure its proper use when engineering, work practices, and administrative controls are not feasible or provide adequate protection
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Complete question
Which of the following is a requirement for employees who must wear PPE?
a. Speak to the. project manager.
b. Get necessary clothes.
C. Participate in PPE training.
Find X and RDB
X= ______
RDB=______
Answers
Using the secant-secant theorem,
[tex]\frac{13x+7-60}{2}=5x-10 \\ \\ 13x-53=10x-20 \\ \\ 3x-53=-20 \\ \\ 3x=33 \\ \\ \boxed{x=11} \\ \\ m\angle RDB=5(11)-10=\boxed{45^{\circ}}[/tex]
The measure of the angle ∠RDB will be 45°.
What is the angle of the chord?In geometry, a chord of a circle is a straight line segment whose endpoints both lie on the circle. A diameter of a circle is the longest chord, and it passes through the centre of the circle.
Calculate the value of x as below,
( 13x + 7 - 60 ) / 2 = 5x - 10
13x - 53 = 10x - 20
3x - 53 = -20
3x = 33
x = 11
The measure of the angle ∠RDB is,
∠RDB = 5x - 10
∠RDB = ( 5 x 11 ) - 10
∠RDB = 45°
Therefore, the value of an angle ∠RDB will be 45°.
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select independent or not independent for each situation
Answers
Answer: the first one
Step-by-step explanation:
isabel drove 335 miles in 5 hours at the same rate how any miles would she drive in 8 hours
Answers
335/5=67
Therefore, if she was to drive eight hours she would drive 536 miles
Answer=536 miles
Which statement best describes the functions represented in the graphs?
A.Both functions are continuous and linear.
B.Only function p is continuous and linear.
C.Both functions are discrete and exponential.
D.Only function a is discrete and exponential.
Answers
The statement that best describes the functions represented in the graphs is B. Only function p is continuous and linear.
What is a linear function?A linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
How to know continuous function?A function at a place can only be continuous if it is defined there, has a limit there, and its value at that point is equal to the value of the limit there.
The graph of function p is linear and continuous
Learn more on continuous functions at:
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