Answer:
A rate is two variables that relies on each other so a example would be a projectile and a cannon, in relation the cannon goes no where while the projectile is flying through the air
Step-by-step explanation:
I need a answer with solution need help please
The differentiation of the equation will be (dy/dx) = - x² / y². Then the correct option is D.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
The equation is given below.
x³ + y³ = 1
Differentiate the equation with respect to 'x'. Then we have
(d/dx) (x³ + y³) = d/dx (1)
3x² + 3y² (dy/dx) = 0
x² + y² (dy/dx) = 0
y² (dy/dx) = - x²
(dy/dx) = - x² / y²
The differentiation of the equation will be (dy/dx) = - x² / y². Then the correct option is D.
More about the differentiation link is given below.
https://brainly.com/question/24062595
#SPJ1
una parte de $4000.00 fue invertida a un 3% de interés anual y el resto a un 4%, al finalizar el año tuvo un rendimiento de $155.00 ¿Qué cantidad de dinero fue invertida al 3% y que cantidad al 4%? R=
The amounts of each investment are given as follows:
3% interest: $3875.4% interest: $125.How to obtain the balance using simple interest?The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are explained as follows:
P is the value of the initial deposit.r is the interest rate, as a decimal.The interest accrued is given as follows:
I(t) = Prt.
An amount of x was invested at 3% during one year with a return of R, hence:
R = 0.03x.
An amount of 4000 - x was invested at 4% during one year with a return of 155 - R, hence:
155 - R = 0.04x.
From the first equation, we have that:
x = R/0.03.
x = 33.3R.
Replacing into the second equation, the value of R is obtained as follows:
155 - R = 0.04(33.3R)
1.332R = 155
R = 155/1.332
R = $116.37.
Hence the value of x, representing the amount invested at 3%, is given as follows:
x = 33.3 x 116.37
x = $3875.
The value invested at 4% is given as follows:
4000 - 3875 = $125.
More can be learned about simple interest at https://brainly.com/question/20690803
#SPJ1
Find the value(s) of c such that the area of the region bounded by the parabolae y = x^2-c^2 and y = c^2 - x^2 is 4608
Answer (separate by commas): c= ??
Answer:
Either [tex]c = 12[/tex] or [tex]c = (-12)[/tex].
Step-by-step explanation:
Find the [tex]x[/tex]-coordinate of the intersection of the two curves by equating their [tex]y[/tex]-values and solving for [tex]x[/tex]:
[tex]x^{2} - c^{2} = c^{2} - x^{2}[/tex].
[tex]x^{2} = c^{2}[/tex].
[tex]x = c[/tex] or [tex]x = (-c)[/tex].
In other words, the two curves intersect both when [tex]x = c[/tex] and when [tex]x = (-c)[/tex].
Assume that [tex]c \ge 0[/tex]. The area enclosed would be over the range [tex](-c) < x < c[/tex]. Note that over this range, [tex]x^{2} \le c^{2}[/tex], so [tex]x^{2} - c^{2} \le 0 \le c^{2} - x^{2}[/tex]. The curve [tex]y = c^{2} - x^{2}[/tex] would be above [tex]y = x^{2} - c^{2}[/tex].
Integrate the upper curve minus the lower curve [tex](c^{2} - x^{2}) - (x^{2} - c^{2})[/tex] over this interval to find the area enclosed:
[tex]\begin{aligned}& \int\limits_{-c}^{c} \left((c^{2} - x^{2}) - (x^{2} - c^{2})\right)\, dx \\ =\; & \int\limits_{-c}^{c} \left(2\, c^{2} - 2\, x^{2}\right)\, dx \\ =\; & {\left[2\, c^{2}\, x - \frac{2}{3}\, x^{3}\right]}_{-c}^{c} && (\text{power rule}) \\ =\; & \left(2\, c^{2}\, c -\frac{2}{3}\, c^{3}\right) - \left(2\, c^{2}\, (-c) - \frac{2}{3}\, (-c)^{3}\right) \\ =\; & \frac{8}{3}\, c^{3} \end{aligned}[/tex].
In other words, assuming that [tex]c \ge 0[/tex], area enclosed between these two curves would be [tex](8/3)\, c^{3}[/tex]. Since this area is given, the value of [tex]c[/tex] can be found as:
[tex]\begin{aligned}c &= \sqrt[3]{\frac{3}{8}\, (\text{Area})} = 12\end{aligned}[/tex].
However, note that if [tex]c < 0[/tex], the order of limits of the integral would need to be reversed:
[tex]\begin{aligned}& \int\limits_{c}^{-c} \left((c^{2} - x^{2}) - (x^{2} - c^{2})\right)\, dx \\ =\; & \cdots \\ =\; & {\left[2\, c^{2}\, x - \frac{2}{3}\, x^{3}\right]}_{c}^{-c} \\ =\; & \left(2\, c^{2}\, (-c) - \frac{2}{3}\, (-c)^{3}\right) - \left(2\, c^{2}\, c -\frac{2}{3}\, c^{3}\right) \\ =\; & \left(-\frac{8}{3}\, c^{3}\right) \end{aligned}[/tex].
Hence, [tex]c = (-12)[/tex] would also be a solution to this question.
At a community barbecue, Mrs. Garcia and Mr. Clayton are buying dinner for their families. Mrs. Garcia purchases 2 hot dog meals and 1 hamburger meal, paying a total of $18. Mr. Clayton buys 3 hot dog meals and 3 hamburger meals, spending $42 in all. How much do the meals cost?
The cost of the hot dog and hamburger meals, given the amount bought by Mrs. Garcia and Mr. Clayton, are :
Hamburger meal = $ 10Hot dog meal = $ 4How to find the cost ?From Mrs. Garcia's purchase, we have:
2x + y = 18
And from Mr. Clayton's purchase, we have:
3x + 3y = 42
Use the substitution method to come up with the formula:
3x + 3(18 - 2x) = 42
-3x + 54 = 42
x = $ 4
Hamburgers would then cost:
2x + y = 18
2 ( 4 ) + y = 18
y = $ 10
Find out more on meals at https://brainly.com/question/19795298
#SPJ1
(3a-3/4) times 1/3 if a is 3/8
Answer:
15/24
Step-by-step explanation:
(3a-3/4)
where a is 3/8,
we substitute the value of a;
(3(3/8)-3/4)
(9/8-3/4) =15/8
15/8 times 1/3 =15/24.
What is the quotient
3.60/1.80
Answer:
2
Step-by-step explanation:
3.6 / 1.8 = 2.
Answer:
The answer is 2
Step-by-step explanation:
In a survey of 1,600 people who owned a certain type of car, 880 said they would buy that car again. What percent surveyed were satisfied with the car?
The percent of people satisfied with the survey is 55%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that, in a survey of 1,600 people who owned a certain type of car, 880 said they would buy that type of car again, we need to find what percent of the people surveyed were satisfied with the car,
The percent of people satisfied with the survey = 880 / 1600 × 100
= 55%
Hence, the percent of people satisfied with the survey is 55%
Learn more about percent, click;
brainly.com/question/28840349
#SPJ1
is 3lb more or less than 32oz
3lb is more than 32oz
3lb=48oz
Answer:
more
Step-by-step explanation:
There are 16 ounces to a pound
3 pounds would be 48 ounces
so 3 pounds is more than 32 ounces
A student is graduating from college in one year but will need a loan in the amount of $4,980 for the last two semesters. The student may receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are:
Unsubsidized Stafford Loan: annual interest rate of 6.25%, compounded monthly and a payment grace period of six months from time of graduation
PLUS loan: annual interest rate of 7.25%, compounded monthly, with a balance of $5,353.29 at graduation
Which loan will have a higher balance and by how much at the time of repayment?
The Stafford loan will have a higher balance by $114.84 at the time of repayment.
The PLUS loan will have a higher balance by $114.84 at the time of repayment.
The Stafford loan will have a higher balance by $52.97 at the time of repayment.
The PLUS loan will have a higher balance by $52.97 at the time of repayment.
The Stafford loan will have a higher balance of $114.84 at the time of repayment.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
The formula for compound interest compounded monthly is
A = P(1 + (r/12)/100)¹²ⁿ.
So, For Unsubsidized Stafford Loan,
A = 4980(1 + (6.25)/12/100)¹⁸. (12 times 1.5 years two semesters and 6
months)
A = 4980(1 + 0.0052)¹⁸.
A = 4980(1.0052)¹⁸.
A = $5467.
So, Unsubsidized Stafford Loan will give a higher balance.
learn more about compound interest here :
https://brainly.com/question/14295570
#SPJ1
Answer: The Stafford loan will have a higher balance by $114.84 at the time of repayment.
Step-by-step explanation:
Which of the following tables represents a linear relationship that is also proportional? x −1 0 1 y −4 −2 0 x −1 0 1 y −2 0 2 x −1 0 1 y 0 1 2 x −1 0 1 y 1 3 5
The x = -1, 0, 1 and y = 1, 3, 5 represents a linear relationship that is also proportional.
What is linear relationship?
Linear relationship is a statistical term used to describe a straight-line relationship between two variables.
A relationship is proportional if there is a constant of proportionality (k) such that for any x and y in the relationship, y = kx.
The table x = -1, 0, 1 and y = 1, 3, 5 represents a linear relationship that is proportional because we can see that for every increase in x by 1 unit, y increases by 2 units (the constant of proportionality).
This is a linear relationship because the values of x and y change in a consistent straight-line pattern.
Therefore, x = -1, 0, 1 and y = 1, 3, 5 represents a linear relationship that is also proportional.
Learn more about linear relationship here : brainly.com/question/29685213
#SPJ1
Answer:
A is the answer
Step-by-step explanation:
6-31. MATH TALK
Read the Math Notes box in this lesson to review commonly used algebra vocabulary. Then consider
the expression below as you answer the following questions. Homework Help
3x²+7-2(4x + 1)
a. Name a constant.
b. What are the two factors in 2(4x + 1)?
What are the two factors in 4x?
and
c. Write an expression with a variable m, a coefficient -3, and a constant of 17.
d. Use the words coefficient, constant, term, expression, variable, and factor to describe 4x²+ 11y
-37. Coefficient:
Term:
and
Variables:
Constant:
expression:
e. Use the words factor, product, quotient, and sum to describe the parts of m-2-8(m+n)
Factors:
Quotient:
Product:
Sum:
a. [tex]7[/tex]
b. [tex]2[/tex] and [tex]4x+1[/tex]; [tex]4[/tex] and [tex]x[/tex]
c. [tex]-3m+17[/tex]
d. Coefficient: [tex]4[/tex], [tex]11[/tex]; Term: [tex]4x^2, 11y, -37[/tex]; Constant: [tex]-37[/tex]; Variables: [tex]x, y[/tex]; Expression: [tex]4x^2 +11y-37[/tex]
e. Factors: [tex]-8, (m+n)[/tex]; Quotient: [tex]\frac{5-m}{n}[/tex]; Sum: [tex]m+n[/tex]; Product: [tex]8(m+n)[/tex]
A constant in the expression 3x²+7-2(4x + 1) is 7. The factors in 2(4x + 1) are 2 and (4x + 1), and the factors in 4x are 4 and x. An expression with a variable m, a coefficient -3, and a constant of 17 can be written as -3m + 17. In the expression 4x² + 11y - 37, the coefficient is 4, the term, expression, and the variables are defined, but there are no factors. In the expression m-2-8(m+n), m is a factor, 2 and 8 are factors, the quotient is (m + n), and the sum is (m - 2 - 8(m + n)).
Explanation:a. A constant is a term that does not contain any variables. In the given expression, 7 is a constant.
b. The two factors in 2(4x + 1) are 2 and (4x + 1). In the expression 4x, the two factors are 4 and x.
c. An expression with a variable m, a coefficient -3, and a constant of 17 can be written as -3m + 17.
d. In the expression 4x² + 11y - 37, the coefficient is 4, the terms are 4x², 11y, and -37, there are two variables (x and y), and there are no factors.
e. In the expression m - 2 - 8(m + n), m is a factor, 2 and 8 are factors, the quotient is (m + n), and the sum is (m - 2 - 8(m + n)).
Learn more about Variables here:https://brainly.com/question/32878076
#SPJ2
Brady is making snack bags with 18 juice boxes and 27 cookies. He wants each bag to have the same number of juice boxes and the same number of cookies. (a) What is the maximum number of snack bags he could make? (b) How many juice boxes and (c) how many cookies could he put in each bag? Show your work!
a) The maximum number of bags is 9.
b) 2 per bag.
c) 3 per bag.
What is the maximum number of snack bags?To find that, we need to find the maximum common factor between the numbers of snackbags and juice boxes.
We can rewrite these as:
18 = 2*3*3
27 = 3*3*3
Then the maximum common factor is 3*3 = 9
So that is the maximum number of bags.
b) It is given by the quotient between the number of juice boxes and the number of bags:
18/9 = 2
c) Exactly the same computation than above, this time with the number of boxes:
27/9 = 3
Learn more about common factors at:
https://brainly.com/question/219464
#SPJ1
Three friends got the prize money worth 120000 The first friend would get three times the amount of the third friends portion. The third friend would get twice the amount of the second friends portion. Determine the amount that each friend would receive.
Answer: 1st friend = 13333 x 6
2nd friend = 13333 x 2
3rd friend = 13333
(this is rounded off the actual amount of 1 unit is 13333.3333333)
Step-by-step explanation:
1st friend = 6 units
2nd friend =2 units
3rd friend =1 unit
6+2+1 = 9
120000 divided 9 = 13333
1st friend = 13333 x 6
2nd friend = 13333 x 2
3rd friend = 13333
if the average rate of change of f(x) over the interval x=4 to x=8 is 12, and f(4) = 17 find the vaule of f(8).
Answer:
29
Step-by-step explanation:
f(8) - f(4) = 12
f(4) =17
so f(8) = 17+12 =29
What numbers round down when rounding to the nearest thousand? 95,100, 72,681, 84,279, 10,872, 199,999, or 7,115?
equilateral triangle with 48 inches on each side with the height of 38 inches..how much space does it cover?
Answer:An equilateral triangle with sides of length 48 inches can be divided into two right triangles by drawing a line from one vertex to the midpoint of the opposite side. The height of the equilateral triangle, or the length of the line segment from the vertex to the midpoint of the opposite side, is equal to the height of each of these right triangles.
Using the Pythagorean theorem, the length of the altitude of each right triangle can be found:
sqrt(48^2 - 24^2) = sqrt(2304) = 48 inches.
The area of each right triangle is 1/2 base * height, or 1/2 * 24 * 48 = 576 square inches.
Since the equilateral triangle is made up of two of these right triangles, the total area of the equilateral triangle is 2 * 576 = 1152 square inches.
Step-by-step explanation:
An equilateral triangle with sides of length 48 inches can be divided into two right triangles by drawing a line from one vertex to the midpoint of the opposite side. The height of the equilateral triangle, or the length of the line segment from the vertex to the midpoint of the opposite side, is equal to the height of each of these right triangles.
Using the Pythagorean theorem, the length of the altitude of each right triangle can be found:
sqrt(48^2 - 24^2) = sqrt(2304) = 48 inches.
The area of each right triangle is 1/2 base * height, or 1/2 * 24 * 48 = 576 square inches.
Since the equilateral triangle is made up of two of these right triangles, the total area of the equilateral triangle is 2 * 576 = 1152 square inches.
The student used the gift card to spend the same amount of money at the coffee shop every day until the remaining value of the card was $0. This function represents f(n), the value, in dollars, of the gift card after n days.f(n) = −2.5n + 75 Based on the function, how much money, in dollars, did the student spend each day at the coffee shop?
The student spent $2.5 each day at the coffee shop.
Step-by-step explanation:The student spent $2.5 each day at the coffee shop because -2.5 is the coefficient of the variable "n" in the function f(n) = -2.5n + 75. The coefficient represents the rate of change or how much the value of the function changes for each unit increase in the variable. In this case, for each increase of 1 day, the value of the gift card decreases by $2.5, meaning the student spent $2.5 each day.
The function is solved and the amount of money the student spent each day on the coffee shop is A = $ 2.50
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( x ) = -2.5n + 75
We know that the function is f(n) = -2.5n + 75, where n is the number of days.
The coefficient of n (-2.5) represents the rate at which the value of the gift card is decreasing per day.
Hence , the student spent $2.5 each day at the coffee shop
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ2
Maeve currently has $130 and plans to earn more money each of the 8 weekends this summer. She wants at least $1,250 by the end of the summer. How much does she need to earn each weekend? Assume she earns the same amount each weekend. Solve her problem, and then graph the solution on a number line.
1) Maeve needs to earn $140 each weekend to get at least $1,250, using a linear inequality.
2) The graph on a number line that solves her problem is number line D, showing Maaeve's earnings per weekend.
What is a linear inequality?A linear inequality is a first-order term inequality that compares two values by the inequality symbols such as, '<', '>', '≤', '≠' or '≥'
In a linear inequality, m is the slope and b is the y-intercept with the x-intercept.
The amount Maeve currently has = $130
The number of weekends for the summer = 8
The least amount she wants to earn ≥ $1,250
Linear Inequality:130 + 8x ≥ 1,250
8x ≥ 1,250 130
8x ≥ 1,120
x ≥ 140
Learn more about linear inequalities at https://brainly.com/question/11897796
#SPJ1
use prime factors to explain why 15 x 375 is a perfect square
Answer:
A perfect square can always be expressed as a product of pairs of equal factors
if we resolve 15x 375(which equals 5625)
225x25 = 9x25x25 = 3x3x5x5x5x5 = 3x5x5x3x5x5 or 3 to the power of 2 x 5 to the power of 4 which can also equal to 75 squared
which means that 75 is the number whose square is 5265
A child enters a carousel that takes one minute to revolve once around. The child enters at the point (0,1)
, that is, on the due north position. Assume the carousel revolves counterclockwise.
What are the coordinates of the child after 90
seconds?
The child's position after 90 seconds would be (0, -1).
How to find the child's positionThe carousel revolves 360 degrees in one minute, which means it revolves 360/60 = 6 degrees per second.
After 90 seconds, the carousel would have revolved 90 * 6 = 540 degrees.
When the carousel revolves counterclockwise, the point (0, 1) would rotate to a new position by 540 degrees.
To find the new position, we can use the transformation:
540 - 360 = 180
hence the transformation is 180 degrees which is reflection across x axis
The rule for a reflection over the x -axis is (x, y) → (x, −y)
point (0, 1) → (0, −1)
Learn more about reflection over the x -axis at:
https://brainly.com/question/28671076
#SPJ1
A hiker wants to determine the height of a tree. She measures the tree's shadow to be 25.3 meters long. Her own shadow at the same time is 2.2 meters long. If the hiker is 1.9 meters tall, how tall is the tree?
The height of the tree given the ratio of the hikers shadow to the tree's shadow is 21.85 meters
What is the height of the tree?Tree's shadow = 25.3 meters
Hikers shadow= 2.2 meters
Tree's height= x
Hiker's height= 1.9 meters
Equate the ratio of tree's to hikers
25.3 : 2.2 = x : 1.9
25.3/2.2 = x / 1.9
cross product
25.3 × 1.9 = x × 2.2
48.07 = 2.2x
divide both sides by 2.2
x = 48.07 / 2.2
x = 21.85 meters
Ultimately, the tree's height is given by 21.85 meters
Read more on ratio:
https://brainly.com/question/2328454
#SPJ1
The number 0.000 000 000 034 2 is equivalent to which of the following
expressions?
A. 3.42 x 10^-18
B. 3.42 x 10^-11
C. 3.42 x 10^-10
D. 3.42 x 10^11
E. 3.42 x 10^13
Answer: 3.42x10^11
Step-by-step explanation:
The number 0.0000000000342 is equivalent to 3.42 × 10^-11. Hence, option B is the correct answer.
This type of conversion is called scientific notation.
Firstly we have to place a decimal between the two non-zero numbers which is 3.42.
And then, count the number of decimals that were moved. That is 11.
And then, determine whether the decimal point is to be moved to the left or right to return to the original number. If the decimal is moved right then the exponent is negative. If the decimal is moved left then the exponent is positive.
Here, the exponent is moved right and the decimal will be negative.
In this case, it is written as 3.42 × 10^-11.
To know more about decimals,
https://brainly.com/question/28393353
A quiz consists of 20 multiple-choice questions, each with 4 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 70 %.
The probability of passing if the minimum passing grade is 70 %
is 0.3074.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
A quiz consists of 20 multiple-choice questions, each with 4 possible answers.
now,
n = 20, the number of questions
p = 1/4= 0.25, the probability of making a correct guess
q = 1 - p = 0.75, the probability of making an incorrect guess.
Expected success = 70% or 7 of 10.
From the binomial distribution,
P(7of 10) = ₁₀C7 p^7q^3
=120×0.000061×0.42
=0.3074
Hence, the Answer: 0.3074.
To learn more on probability click:
brainly.com/question/11234923
#SPJ1
Which step can be performed to find the volume of a cone with the same radius and
height as the cylinder?
divide the volume of the cylinder by x
divide the volume of the cylinder by 3
divide the volume of the cylinder by the height
divide the volume of the cylinder by the radius
The volume of cone is gotten by dividing the volume of cylinder by 3.
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.
The volume of a solid figure is the amount of space it occupies in three dimension.
The volume of a cylinder = π * radius² * height
The volume of a cone = (1/3) * π * radius² * height
Hence:
If the cone and cylinder have the same radius and height:
Volume of cone = (1/3) * volume of cylinder.
The volume of cone is one-third volume of cylinder.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Subtract 4x + 6 from 7 + 2x?
Answer:
1-2x
Step-by-step explanation:
[tex](7+2x)-(4x+6)=7+2x-4x-6=1-2x[/tex]
How many solutions does 3(4x - 8) = -24 + 12x have?
Group of answer choices
a. infinitely many solutions
b. no solution
c. one solution
d. two solutions
Answer:
a) Infinitely many solutions
Step-by-step explanation:
3(4x-8) = -24+12x
12x - 24 = -24 + 12x
0 = 0
infinitely many solutions
:] hope this helps
An artist plans to use a tile that is shaped as a parallelogram as one of the tiles in a design. To determine the other tiles that can be used in the design the artist uses a computer program where she inputs measurements that will match different tiles to the design. The artist labels the parallelogram as MBKR.
Some of the measurements of parallelogram MBKR are shown.
RM = 3x + 11.2
MB = 7x - 3.8
KR=5x+7
Determine the perimeter of the tile.
The perimeter of parallelogram MBKR is 18x + 26.6.
How to solve the problem?The perimeter of the parallelogram is equal to the sum of the lengths of its sides. Given RM = 3x + 11.2, MB = 7x - 3.8 and KR = 5x + 7, we can find the perimeter by adding the lengths of RM, MB, KR and KB (the length of the fourth side). To find KB, we can use the property of a parallelogram that opposite sides are equal in length.
RM + MB + KR + KB = (3x + 11.2) + (7x - 3.8) + (5x + 7) + KB
= 15x + 15.4 + KB
= 15x + 15.4 + RM
= 15x + 15.4 + (3x + 11.2)
= 18x + 26.6
So, the perimeter of parallelogram MBKR is 18x + 26.6.
Learn more about parallelogram in brainly.com/question/29147156
#SPJ1
Below is the graph of f ( x ) f(x)f, left parenthesis, x, right parenthesis. The function has a maximum point at (-4,2) and a minimum point at (-1,-3) find a formula for f(x)
f(x)=-5/3x-14/3 is the formula for the function.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The function has a maximum point at (-4,2) and a minimum point at (-1,-3)
We have to find the formula for f(x).
Let the slope m=-3-2/-1+4
m=-5/3
Now let us find the y intercept
2=-5/3(-4)+b
2=20/3+b
2-20/3=b
-14/3=b
f(x)=-5/3x-14/3 is the formula for the function.
Hence, f(x)=-5/3x-14/3 is the formula for the function.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ1
Find the Volume of the following cone.
A. 150.72 in3
B. 16.75 in3
C. 8.37 in3
D. 75.36 in3
Answer:
8.73in³
Step-by-step explanation:
volume =⅓πrh
⅓×3.142×2×4=
8.37 in³
I need help please. Greatly appreciated.
The correct statement regarding the solution to the equation 1/6(3x - 6) = 1/8(4x + 8) is given as follows:
Solving results in the statement -1 = 1, which is false. There is no solution.
How to solve the equation?The equation for this problem is given as follows:
1/6(3x - 6) = 1/8(4x + 8)
Applying the distributive property to each side of the equality, we have that:
0.5x - 1 = 0.5x + 1
Isolating the variable x, we have that:
0.5x - 0.5x = 1 + 1
0x = 2.
x = 2/0.
A division by zero is a false statement, hence the equation has no solution.
More can be learned about solution of equations at https://brainly.com/question/1214333
#SPJ1