find the area of the surface the part of the sphere x^2+y^2+z^2 = b^2 that lies inside the cylinder x^2+y^2 = a^2 where 0
Answers
the area of the surface of the part of the sphere\(x^2 + y^2 + z^2 = b^2\) that lies inside the cylinder \(x^2 + y^2 = a^2\) where 0 < a < b is \(2π(b^2 - a^2).\)
To find the area of the surface of the part of the sphere that lies inside the cylinder, we can use a surface integral.
Let S be the surface of the part of the sphere that lies inside the cylinder. We can parameterize this surface using spherical coordinates as follows:
x = r sin φ cos θ
y = r sin φ sin θ
z = r cos φ
where 0 ≤ r ≤ b, 0 ≤ φ ≤ π/2, and 0 ≤ θ ≤ 2π.
To find the area of the surface S, we need to integrate the magnitude of the partial derivative of this parameterization with respect to both angles:
A = ∫∫S ||(∂/∂φ)(x,y,z) x (∂/∂θ)(x,y,z)|| dφdθ
where ||v|| denotes the magnitude of a vector v.
The partial derivatives of the parameterization are:
(∂/∂φ)(x,y,z) = r cos φ cos θ i + r cos φ sin θ j - r sin φ k
(∂/∂θ)(x,y,z) = -r sin φ sin θ i + r sin φ cos θ j
Taking the cross product of these partial derivatives gives the normal vector to the surface:
\(n = (∂/∂φ)(x,y,z) x (∂/∂θ)(x,y,z) = r^2 sin φ cos θ i + r^2 sin φ sin θ j + r^2 cos φ k\)
The magnitude of this normal vector is:
\(||n|| = r^2 sin φ\)
The area element dA on the surface is:
\(dA = ||n|| dφdθ = r^2 sin φ dφdθ\)
Integrating this over the region of integration gives the surface area:
\(A = ∫∫S r^2 sin φ dφdθ\)
The limits of integration are 0 ≤ φ ≤ π/2 and 0 ≤ θ ≤ 2π.
To evaluate this integral, we first integrate with respect to φ:
\(∫∫S r^2 sin φ dφdθ = ∫0^(π/2) ∫0^(2π) r^2 sin φ dφdθ\)
\(= 2πr^2 [ -cos φ ]_0^(π/2)\)
\(= 2πr^2\)
Substituting\(r = √(b^2 - a^2)\)gives the surface area:
\(A = 2π(b^2 - a^2)\)
To know more about area of the surface, refer here:
https://brainly.com/question/29298005
#SPJ11
Related Questions
Which ordered pair would form a proportional relationship with the point graphed below?
(10, 10)
o (26,36)
(70, 60)
(90, 60)
Answers
Answer:
90,60
Step-by-step explanation:
its the only point the line crosses on the graph
Answer:
D: 90, 60
Explanation:
I looked at the graph and that point was on the plotted line
The total receipts for a basketball game is $1,400 for 788 tickets sold. Adults pay $2.50 and students pay $1.25. How many tickets of each kind were sold
Answers
Total tickets of a basketball game sold to students are 332 and total tickets sold to adults are 456.
Total number of sold tickets for a basketball game = 788
Total receipts for game = $1,400
Price of game tickets for an adults = $2.50/ticket
Price of game tickets for student = $1.25/ ticket
let us assume that total tickets sold to adults be "x".
Out of 788 , total tickets sold to students = 788 - x
Total money paid by adults = $2.50x
Total money paid by students = $1.25(778 - x)
Total money paid by adults and students will be equal to ($2.50x + $1.25(788 - x) ).
Total receipts for game is $1,400, so
$2.50x + $1.25(788 - x) = $1,400
which is a linear equation of one variable.
Now, we have to solve this equation
2.50x + 1.25×788 - 1.25x = 1,400
=> 1.25x + 985 = 1400
=> 1.25x = 1400 - 985 = 415
=> x = 415/1.25 = 332
So, total tickets sold to adults are 332 . Then,
total tickets sold to students = 788 - 332 = 456.
To learn more about linear equation , refer:
https://brainly.com/question/28555579
#SPJ4
Determine the perimeter and area of the red portion of the 2 dimensional figure below, given the circle diameter of 7 cm and the perimeter of the entire figure is 42 cm. Round if necessary
Answers
Answer:
Perimeter = 20cm ; area = 59.5cm
Step-by-step explanation:
Given the following :
Perimeter of entire figure = 42cm
Diameter of circle (d) = 7cm
Find the perimeter of the circle :
The perimeter (p) of a circle equals :
2πr
Where r = radius of circle
r = diameter /2 = 7/2 = 3.5cm
Therefore,
P = 2 * (22/7) * 3.5
P = 22 cm
Looking at the figure, we only take the semicircle :
Therefore perimeter of each semicircle =
22cm / 2 = 11cm
Therefore, perimeter of the red shaded region =
(42 - 22)cm = 20cm
Area of Circle = πr^2
(22/7) * 3.5^2 = 38.5 cm
Area of each semicircle = 38.5/2 = 19.25cm
Total area of semicircle = (19.25 +19.25) = 38.50cm
To find sides of rectangle :
Perimeter of the rectangle :
width = diameter of circle = 7cm
2(l + w) = 42
2(l + 7) = 42
2l + 14 = 42
2l = 42 - 14
2l = 28
l = 28/2
length (l) = 14cm
Therefore, area of rectangle :
Length * width
14 * 7 = 98cm
Area of red portion:
Area of rectangle - (area of the 2 semicircles)
98cm - 38.50cm
= 59.50cm
Find the zeros and the axis of symmetry of the parabola.
a. zeros: 3, 5; x = 4
b. zeros: 3, 5; x = 8
c. zeros: 2, 4; x = 6
d. zeros: 2, 4; x = 3
Answers
Answer:
ok i think its D
Step-by-step explanation:
2,4; x= 3
i am not 100% but like i looked up examples and that seems to be the only one that looks right
Answer:
d. zeros: 2, 4 axis of symmetry: x = 3
Step-by-step explanation:
The zeros are the values of x where the graph crosses the x-axis
zeros = 2, 4
The axis of symmetry is the vertical line thru the vertex of the parabola
The vertex is (3, -1), so x = 3 is the axis of symmetry
Sanji has a square room with a perimeter of 42.5 feet. If she wants to hang a curtain along one full side of the room, how long does the curtain need to be?
Answers
Answer:
The length of the curtain is 10.625 feet
Step-by-step explanation:
The length of the curtain to cover one side of the room depends on the shape of the room
Given a room shape of a square, we have;
Perimeter = 4 × Side length of the room
Length of the curtain = Side length of the room
Therefore;
Perimeter = 4 × Length of the curtain
42.5 feet = 4 × Length of the curtain
Length of the curtain = (42.5 feet)/4 = 10.625 feet
The length of the curtain = 10.625 feet.
write an equation for a degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and has a y-int at 5..
Answers
The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
How to define the polynomial?The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
The zeros of the function, along with their multiplicities, are given as follows:
Zero at x = 3 with a multiplicity of 1.Zero at x = 2 with a multiplicity of 2.Zero at x = -1 with a multiplicity of 3.Then the linear factors of the function are given as follows:
(x - 3).(x - 2)².(x + 1)³.The function is then defined as:
y = a(x - 3)(x - 2)²(x + 1)³.
In which a is the leading coefficient.
When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:
5 = -12a
a = -5/12
Hence the polynomial is:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Describe in words the translation of X represented by the translation rule T ...?
Answers
The vector notation <4, -5> is the same as writing \((x,y) \to (x+4, y-5)\) which in my opinion is more descriptive in saying "4 units to the right, 5 units down"
We shift 4 units to the right because of the x+4. Whatever x is, add 4 to it getting x+4. So for instance x = 10 leads to x+4 = 10+4 = 14.
The y-5 is why we shift 5 units down. Eg: y = 37 leads to y-5 = 37-5 = 32.
Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 3 with A(6, -10) and B(9, -1).
Answers
Answer:
Step-by-step explanation:
Use the formulas that allow us to find the point that divides the segment into a ratio which is
\(x=\frac{bx_1+ax_2}{a+b}\) and \(y=\frac{by_1+ay_2}{a+b}\) where a is 1 (comes from the ratio) and b is 3 (comes from the ratio as well). Filling in:
\(x=\frac{3(9)+1(6)}{1+3}=\frac{27+6}{4}=\frac{33}{4}\) and then y:
\(y=\frac{3(-1)+1(-10)}{1+3}=\frac{-3-10}{4}=-\frac{13}{4}\) so the coordinates in question are
\((\frac{33}{4},-\frac{13}{4})\)
Answer:
Step-by-step explanation:
the answer would be (7,-7)
Which of the following statements for a simple graph is correct?a) Every path is a trailb) Every trail is a pathc) Every trail is a path as well as every path is a traild) Path and trail have no relation
Answers
Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.
In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.
Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.
Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.
Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.
Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.
Learn more about vertices here : https://brainly.com/question/29154919
#SPJ11
Paid the rent for the month,$650
Answers
Answer:
whats the question here
Step-by-step explanation:650 rent
PLEASE HELP 20 POINTS + BRAINLIEST IF ANSWERED Which method correctly solves the equation using the distributive property? Negative 0.2 (x minus 4) = negative 1.7 Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x minus 4 = negative 1.7. Negative 0.2 x = 2.3. x = negative 11.5. Negative 0.2 (x minus 4) = negative 1.7. x minus 4 = 0.34. x = 4.34. Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x + 0.8 = negative 1.7. Negative 0.2 x = negative 2.5. x = 12.5. Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x minus 0.8 = negative 1.7. Negative 0.2 x = negative 0.9. x = 4.5.
Answers
Step-by-step explanation:
oh oh can you capture a picture of it because you don't understand
help really fast i need help
Answers
Answer:
[(-4+3)(4+2)-5]×3[-1×6-5]×3-6-5×3-11×3-33A) -33 is yr answer.
stay safe healthy and happy.Answer:
A) \( - 33\)
Step-by-step explanation:
\([{(−4+3) \times (4+2)−5} \times 3]\)
\({[−1 \times (4+2)−5} \times 3]\)
\((−1 \times 6−5) \times 3\)
\((−6−5) \times 3\)
\(−11 \times 3\)
\( - 33\)
Hope it is helpful....ILL GIVE YOU BRAINLEST PLEASE THIS IS THE ONLY QUESTION I HAVENT ANSWER!
Answers
A and B
Both A and B, when simplified get -(1/6), because the others have either 0 or 2 negative signs, denoting a positive end result.
Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50. How many books will Holly and Ethan need to sell to make a profit of exactly $30?
Answers
Answer:The answer would be 20 books divide 15 \ 1.50 equals 10 then multiply 10 by 2
Step-by-step explanation:
The number of books sold by Holly and Ethan to get a profit of $30 will be 20.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50.
The number of books will be calculated as,
1.5x = 30
x = 30 / 1.5
x = 20
Therefore, the number of books sold by Holly and Ethan to get a profit of $30 will be 20.
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
What are the coordinates of the center and the length of the radius of the circle
whose equation is-y-12y-20 25-07
a) center (0.5) and radius 7.5
c) center (0-6) and radius 75
b) center (0.12) and radius 45
d) center (-12) and radius 4,5
Answers
The equation of the circle, obtained by applying the completing the square method to the specified equation indicates that the center and radius of the circle are;
Center (0, 6) and radius 7.5
What is the general form of the equation of a circle?The general form of the equation of a circle is; (x - h)² + (y - k)² = r², where;
(h, k) = The coordinates of the center of the circle
r = The measure of the length of the radius
The possible equation obtained from a similar question on the internet can be presented as follows;
x² + y² - 12·y - 20.25 = 0
The above equation can be evaluated using the completing the square method and excluding the x² term as follows;
y² - 12·y - 20.25 = 0
y² - 12·y = 20.25
y² - 12·y + (-12/2)² = 20.25 + (-12/2)²
y² - 12·y + (-6)² = 20.25 + (-6)² = 56.25
(y - 6)² = 56.25
Therefore;
y - 6 = √(56.25) = ±7.5
The possible equation of the circle obtained by plugging in the x² term therefore is; (x - 0)² + (y - 6)² = 7.5²
The center of the circle is therefore;
(h, k) = (0, 6)
The radius of the circle, r = 7.5
The possible correction is therefore, option (a), where the 5 is a typing error
Learn more on the equation of a circle here: https://brainly.com/question/30307148
#SPJ1
Sue has 48 dolls. She gives 5/8 of them to her sister. How many dolls does she give her?
Answers
Answer:
i may be wrong but itcould be 1/3 butt i dont know ur A.B.C.D
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
First, find 5/8 of 48
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:
48
1
So now that we've converted 48 into a fraction, to work out the answer, we put the fraction 5/8 side by side with our new fraction, 48/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
5 x 48/8 x 1 = 240/8
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 240 and 8 is 8.
We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.
240/8 = 30
8/8 = 1
When we put that together, we can see that our complete answer is:
30/1
The complete and simplified answer to the question what is 5/8 of 48 is:
30Now that we have found 5/8 of 48. It can be confirmed that Sue gave her sister 30 dolls.
Calculate the future value of a three year uneven cash flow given below, using 11% discount rate:
Year 0 Year 1 Year 2 Year 3
0 $600 $500 $400
Answers
Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.
To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;
Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴
Given the cash flows;
Year 0: $0
Year 1: $600
Year 2: $500
Year 3: $400
Then the Future value of uneven cash flow
= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³
= $600/1.11 + $500/1.23 + $400/1.36
=$540.54 + $405.28 + $293.00
=$1,238.82
Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.
To know more about discount rate visit:
https://brainly.com/question/13660799
#SPJ11
The box-and-whisker plot below represents some data set. What is the maximum value of the data?
Answers
The maximum value of the data is given as follows:
75.
What does a box and whisker plot shows?A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:
The minimum non-outlier value.The 25th percentile, representing the value which 25% of the data-set is less than and 75% is greater than.The median, which is the middle value of the data-set, the value which 50% of the data-set is less than and 50% is greater than%.The 75th percentile, representing the value which 75% of the data-set is less than and 25% is greater than.The maximum non-outlier value.The maximum value on the box plot is the end of the plot, hence it is of 75.
More can be learned about box plots at https://brainly.com/question/3473797
#SPJ1
Regina wrote an integer The opposite of her integer is -18
Answers
Answer: C
Step-by-step explanation: The opposite of a positive integer (18) is -18
Which also means its value is 18
Hope this helps!
How many payment periods are in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually?.
Answers
By using the concept of Compound interest, Number of payment periods in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = 12
What is Compound interest?
The interest earned on savings that is calculated using both the initial principal and the interest accrued over time is known as compound interest. It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a sum more quickly than simple interest, which is only calculated on the principal sum. Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.
This problem can be solved by using the concept of compound interest
Number of payment periods are in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = \(6 \times 2 = 12\)
To learn more about compound interest, refer to the link-
https://brainly.com/question/24274034
#SPJ4
A post office has 2 clerks. Alice enters the post office while 2 other customers, Bob and Claire, are being served by the 2 clerks. She is next in line. Suppose a clerk’s serving time for any customer follows an exponential distribution with parameter λ independently. Customers will be served once any of the clerks are available.
What is the probability that Bob the last customer to leave the post office?
Answers
The probability that Bob is the last customer to leave the post office comes out as (1 - e^(-λx))^2. The probability that Bob is the last customer to leave the post office can be calculated using the exponential distribution formula.
The exponential distribution is a continuous probability distribution used to model the time between events in a Poisson process. The formula for the exponential distribution is: P(X=x) = λe^(-λx)
Where X is the random variable representing the time between events, λ is the rate parameter, and e is the base of the natural logarithm.
P(Bob is the last customer to leave) = P(Bob's serving time > Alice's serving time) * P(Bob's serving time > Claire's serving time). Since the serving times follow an exponential distribution with parameter λ, we can use the formula to calculate the probabilities:
P(Bob's serving time > Alice's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob's serving time > Claire's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob is the last customer to leave) = (1 - e^(-λx))^2
Therefore, the probability that Bob is the last customer to leave the post office is (1 - e^(-λx))^2.
Know more about exponential distribution here:
https://brainly.com/question/28235111
#SPJ11
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answers
Answer:
x-intercept: (4, 0), (-5, 0)
y-intercept: (0, -20)
Explanation:
x² + x - 20x² + 5x -4x -20x(x+ 5) -4(x +5)(x-4)(x + 5)Their x-intercept: (at x intercept, y will be 0)
(x-4)(x + 5) = 0x = 4, x = -5Their y intercept: (at y intercept, x will be 0)
y = (x-4)(x + 5)y = (0-4)(0 + 5)y = -20Answer:
x-intercepts : (4, 0) and (-5, 0)y-intercept : (0, -20)Step-by-step explanation:
Finding x-intercept(s)
The x-intercept's y-coordinate will be 0⇒ 0 = (x - 4)(x + 5)⇒ x = 4 and x = -5The x-intercepts are : (4, 0) and (-5, 0)Finding y-intercept
The y-intercept's x-coordinate will be 0⇒ y = 0² + 0 - 20⇒ y = -20The y-intercept will be (0, -20)A snail is moving away from a rock.
The equation represents the relationship between the distance, , in inches that the snail is from the rock and time, , in minutes.
How many minutes does it take for the snail to reach a distance of inches from the rock?
Answers
The amount of minute to reach a distance of 9 inches from the rock is 3 minutes
How to determine the amount of minute to reach the given distance?The complete question is added at the end of this solution
From the question, we have the equation to be
d = 3t
A distance of 9 inches from the rock means that
d = 9
So, we have
3t = 9
Divide both sides by 3
t = 3
Hence, the amount of time is 3 minutes
Read more about linear equations at
https://brainly.com/question/12700955
#SPJ1
Complete question
The equation d=3t represents the relationship between the distance (d) in inches that a snail is from a certain rock and the time (t) in minutes.
How many minutes does it take for the snail to reach a distance of 9 inches from the rock?
2. algebra on april 14, mikos souvakis borrowed $100,000 to remodel
his restaurant kitchen with a single-payment loan at 10.5% ordinary
interest. if his loan's maturity value was $104,375, when does mikos
have to pay it back?
and
Answers
Mikos has to pay back his loan on April 14, plus interest, for a total of $104,375. The amount of interest he paid was $4,375 ($104,375 - $100,000).
1. The loan was for $100,000, at 10.5% ordinary interest.
2. The loan's maturity value was $104,375, meaning Mikos has to pay back the loan plus interest on April 14.
3. The amount of interest paid is the difference between the loan's maturity value and the original loan amount, which is $4,375 ($104,375 - $100,000).
The complete question is :
On April 14, Mikos Souvakis borrowed $100,000 to remodel his restaurant kitchen with a single-payment loan at 10.5% ordinary interest. If his loan's maturity value was $104,375, when does Mikos have to pay it back, and how much interest did he pay?
Learn more about amount here
https://brainly.com/question/8082054
#SPJ4
Here are two spinners (picture attached)
Answers
Step-by-step explanation:
you can subtract the spinner a from spinner b and then find the probability
Marcus is buying 10 gift bags for his
birthday party. He will choose items to put
in the bags and then pay an additional
charge of $0.75 for the actual bag.
Marcus cannot spend more than $50,
Write and solve an inequality to find the
most Marcus can spend on the items for
each bag,
Show work
Answers
Answer:
Step-by-step explanation:
Let cost of items for 10 bags be represented by x
Cost of 1 bag=$ 0.75
Cost of 10 bags=$ (0.75×10)
= $ 7.5
Total cost of 10 bags with items in them=$(7.5+x)
Marcus cannot spend more than $50.
i.e. 7.5+x≤50
Subtracting both sides by 7.5
x≤42.5
Most Marcus can spend for items in 10 bags=$42.5
Most Marcus can spend for items in 1 bag=$(42.5/10)=$4.25
Hence, most Marcus can spend on the items for each bag is:
$4.25
you can also find this on brainly
3. Jorge used 2 packs of pencils in the first 1/3 of the year. At what rate is Jorge using pencils?
Answers
Answer:
Jorge is using pencils at a rate of 6 packs a year or a rate of 2 packs every four months.
Step-by-step explanation:
1/3 of a year is four months so that would be 2 packs every four months and if you multiply that by three you’d get 12 month, or one year, and 6 packs of pencils.
The table shows the amount of flour needed for six cookie recipes.
Recipe
Amount of Flour
(in cups)
Chocolate Chip Cookies
Sugar Cookies
2
Gingerbread Men
1.5
Peanut Butter Cookies
2.25
Oatmeal Cookies
2
Iced Pumpkin Cookies
23
21
What is the total amount of flour needed for all six cookie recipes?
Answers
Answer:
A. 15.5
Step-by-step explanation:
x² +11x +30
-x²-11x - 30
x² - 11x + 30
-x² + 11x + 30
0
2
92
T
Given the graph above, what equation represents the function show
Answers
The graph of the polynomial equation is y = -x² - 11x - 30
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
y = -x² - 11x - 30
To find the x-intercepts, we need to set y = 0 in the equation and solve for x. We have -x² - 11x - 30 = 0
On factoring this equation, we get (-x - 6)(x + 5) = 0.
Therefore, the x-intercepts are -6 and 5
And , the y-intercept is at the point (0, -30)
Hence , the equation of graph is plotted and y = -x² - 11x - 30
To learn more about equation of graph of polynomials click :
https://brainly.com/question/16957172
#SPJ1
What is 60% of 90? *
Answers
Answer:
54
Step-by-step explanation:
You can use the short cut 0.6 * 90 ( * is another symbol for the multiplication symbol) this works differently for different numbers. If your percent is one digit, like 3%, you want to change it into the decimal 0.03. The reason why you multiply them together is because “of” is another word for multiply in math terminology.