Answer:
25
Step-by-step explanation:
Un polinomio de grado n se escribe como:
P(x) = aₙ*x^n + ... + a₁*x + a₀*x^0
Donde n es el exponente de mayor del polinomio, y decimos que el grado absoluto de este polinomio es n.
En este caso sabemos que tenemos 3 islas, y cada una de ellas representa un monomio ( un monomio es cada uno de los términos de un polinomio).
Sabemos que el grado de cada isla depende de la cantidad de gente que vive en la isla.
Tenemos una con 10 personas, entonces tendremos un término con un exponente igual a 10.
Tenemos una isla con 25 personas, entonces tendremos un término con un exponente igual a 25.
Tenemos una isla con 8 personas, entonces tendremos un término con un exponente igual a 8.
Recordando que el grado absoluto del polinomio es igual al mayor exponente del polinomio, acá podemos ver que el mayor exponente es 25.
Entonces el grado absoluto del polinomio será 25.
Which of the following sets represents the range of the diagram below? 2 3 3 A. {1,2,4) B. {3} C. {1,2,3,4} D. {4}
Answer:
bd.{4}
Step-by-step explanation:
becuaswe i had the test
The cost of renting a car is $29.00 a day plus $0.25 for every kilometre after the first 100km. What is the cost of renting the car for 14 days and 320km. (linear equtations)
Answer:
$461
Step-by-step explanation:
First, find the cost with the daily charge of $29.
Multiply 14 by 29, since the car was rented for 14 days:
14(29)
= 406
Find the cost with the distance traveled. Since there is only a charge after the first 100 km, subtract 100 from 320.
320 - 100
= 220
Find the charge by multiplying this by 0.25:
220(0.25)
= 55
Add this to the daily charge:
55 + 406
= 461
So, the cost will be $461
Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.
y=x2−4x+1
y=x−3
Answer:
(1, -2), (4, 1)
Step-by-step explanation:
Here we want to solve the system of equations:
y = x^2 - 4*x + 1
y = x - 3
First, we can see that in both parts we have isolated the variable "y", so we can just write:
x - 3 = y = x^2 - 4*x + 1 = y
removing the "y"s, we get:
x - 3 = x^2 - 4*x + 1
Now we can solve this for x
0 = x^2 - 4*x + 1 - x + 3
0 = x^2 - 5*x + 4
This is a quadratic equation, the solutions are given by the Bhaskara's formula, that says that for a general quadratic equation:
0 = a*x^2 + b*x + c
The solutions are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
So for the case of our equation:
0 =x^2 - 5*x + 4
The solutions are given by:
[tex]x = \frac{-(-5) \pm \sqrt{(-5)^2 - 4*1*4} }{2*1} = \frac{5 \pm 3}{2}[/tex]
So the two solutions are:
x₁ = (5 + 3)/2 = 4
x₂ = (5 - 3)/2 = 1
To find the ordered pair, we need to replace these values in one of the equations of the system, let's use the second:
y = x₁ - 3 = 4 - 3 = 1
Then we have one solution at (4, 1)
And for the other:
y = x₂ - 3 = 1 - 3 = -2
then the ordered pair is (1, -2)
Now we want to write from least to greatest with respect to the x-coordinate, then the correct order is:
(1, -2), (4, 1)
Find the positive solution to each equation
A. t^3 = 216
B. a^2= 25
C. m^3 = 8
D. c^3 = 343
E. f^3 = 64
Answer:
A. T=3
B. A=5
C. M=2
D. C=7
E. F =4
Gianna rented shoes, bowled 5 games, and bought 2 orders of nachos. She used a coupon for 25% off the price of her bowling games only.
Answer:
[tex]Total = \$15.625[/tex]
Step-by-step explanation:
Given
See attachment for price lists
Required
The amount paid
We have:
[tex]Shoes = \$2.75[/tex]
[tex]Games = \$2.50 * 5 = \$12.5[/tex] --- we multiply by 5 because he played 5
[tex]Nacho = \$1.75 * 2 =\$3.50[/tex] --- we multiply by 5 because he bought 2
Apply 25% coupon to the games, we have:
[tex]Games = \$12.5 - 25\% * \$12.5[/tex]
[tex]Games = \$12.5 - \$3.125[/tex]
[tex]Games = \$9.375[/tex]
So, the total amount paid is:
[tex]Total = Shoes + Games + Nacho[/tex]
[tex]Total = \$2.75 + \$9.375 + \$3.50[/tex]
[tex]Total = \$15.625[/tex]
ramu swims a distance of 3 km each upstream and downstream. The total time taken is one hour. if the speed of the stream is 4km/h, then find the speed of ramu in still water.
(a) 12km/h
(b) 8km/h
(c) 9km/h
(d) 6km/h
please answer :)
Answer:
:5 or 6km per hour is your answer.
6. You begin work at 8:30 am. You take an unpaid lunch break from 11:45 am to 12:30 pm
You also take two 15-minute unpaid coffee breaks during the day. Your work day ends
at 5:00 pm. How many hours are you paid?
a) Express your answer in hours and minutes.
b) Express your answer as a decimal in hours only.
Answer:
7 hours 15 minutes
7.25 hours
Step-by-step explanation:
Break from 11:45 am to 12:30 pm = 45 minutes
Two 15-minute unpaid coffee breaks during the day = 30 minutes
Total break hours = 45 minutes + 30 minutes
= 1 hour 15 minutes
Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes
How many hours are you paid?
Total hours paid = Total work day hours - Total unpaid break hours
= 8 hours 30 minutes - 1 hour 15 minutes
= 7 hours 15 minutes
b) Express your answer as a decimal in hours only
7 hours 15 minutes as a decimal
15 minutes to hour = 60 minutes/15 minutes
= 1/4
= 0.25 hours
7 hours 15 minutes as a decimal = 7 hours + 0.25 hours
= 7.25 hours
eigthy millimetes as a percentage of one metre is
8
80
800
8000
Answer:
8%.
Step-by-step explanation:
There are 1000 millimeters in 1 meter.
So the percentage is (80/1000) * 100
= 80/10
= 8%.
suface areas- cones
wdh
Answer:
65
Step-by-step explanation:
The slant height of a cone is the length of a segment from the base to the vertext along the surface of the cone.
You can use the given dimenstions as the legs of a right triangle, and the slant heifght is rthe hyopotenuse.
L^2 = r^2 + h^2
L^2 = 5^2 + 12^2
L^2 = 169
L = 13
The slant heiht is 13 cm.
LA = (pi)rL
LA = (pi)(5 cm)(13 cm)
LA = 65(pi) cm^2
Adele, Dennis, and Marie are siblings. The sum of their ages is 29. Marie is the eldest, and Adele is the youngest. None of the siblings are older than 16 or younger than 6. No two are the same age. List all the combinations of ages they could be in the organized list below. What is the probability that Marie is 12 years of age?
Answer:
also, Marie = 1/2
Hihi , please help if able.
A line passes through (-3, -1) and is parallel to the graph of y= 2x +3. What equation represents the
line in slope-intercept form?
PLEASE HELPPP
Answer:
y = 2x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, so
y = 2x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = 2x + 5 ← equation of parallel line
The Equation of line is y = 2x + 5.
What is slope of a line?The ratio of a line's change in y coordinate to its change in x coordinate is known as its slope.
Both the net change in the x-coordinate is Δx and the net change in the y-coordinate are represented by Δy.
Given Equation
y = 2x + 3
and line passes through (-3, -1)
equation of line is given by,
y =mx + c
where m is slope, given equation is parallel to graph the value of slope is equal for both
m = 2 from given equation
new equation is y = 2x + c
substitute values of x and y
-1 = 2(-3) + c
c = -1 + 6
c = 5
Equation of line is y = 2x + 5
Therefore the equation represents,
the line in slope-intercept form is y = 2x + 5
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Complete the expanded form of this number.
6,738
Enter numbers from greatest to least place value starting on the left.
6,000 + 700 + 30 + 8 is the expanded from.
Please help me for this problem.
Answer:
B: 1 and 3
Step-by-step explanation:
corect me if im wrong hope it helps aki brainliest thx:)
Choose the scenario that could be represented by 5/6
A. Five friends share six pizzas equally. B. Six pounds of oats are divided equally among five horses.
C. A six-foot string is cut into five equal pieces.
D. A five-hour bus trip is divided into six equal legs.
Answer:
d. A five-hour bus trip is divided into six equal legs.
Step-by-step explanation:
hope it helps
Answer:
Step-by-step explanation:
A - You'd divide the 6 pizzas by 5 friends. 6/5.
B - You're dividing the 6 oats by 5 horses. 6/5.
C - You're dividing the 6-ft string by 5 pieces. 6/5.
D is the only one dividing a whole of 5 into 6 parts.
The theater club is charging $20 for 3 tickets. What is the rate of change in this situation?
Answer:
20/3
Step-by-step explanation:
The Other guy is wrong, this is the correct answer from Plato
The rate of change in a direct variation relationship is the same as the constant of proportionality. The rate of change is the change in the dependent value, y, over the change in the independent value, x.
In this case, the number of tickets sold is the independent variable and the amount of money raised from ticket sales is the dependent variable. The ratio of money raised per ticket sold is the constant of proportionality.
Since 3 tickets are sold for $20, the rate of change, or slope, is 20/3
Answer:
20/3 I mean imI'm doing it rn and..... the plug
Step-by-step explanation:
please help with this math problem
Answer:
The rate of change is 3.5
Step-by-step explanation:
Really? Like this is easy.
The graphs below have the same shape. What is the equation of the red
graph?
G(X) =
The equation of the red graph is g(x) = 6 - [tex]x^4[/tex].
Thus, option (B) is correct.
Given:
Function 1 : f(x) = 3 - [tex]x^4[/tex]
As, the y-intercept is the point where a line or curve intersects the y-axis.
It is the value of y when the corresponding x-coordinate is zero. It is the point(s) where the graph crosses the y-axis.
Now, from the graph of function f(x) has the intercept 6.
Also, the graph of function g(x) is 3 unit up from the function f(x).
So, the equation of g(x) will be
= f(x) + 3
= 3 - [tex]x^4[/tex] + 6
= 6 - [tex]x^4[/tex]
Thus, option (B) is correct.
Learn more about Function here:
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2- b/3 = -5/2...................
Answer:
b = 7.5
[tex]b=7\frac{1}{2}[/tex]
[tex]b=\frac{15}{2}[/tex]
Step-by-step explanation:
[tex]\frac{-b}{3}= \frac{-5}{2}[/tex]
- b × 2 = - 5 × 3
- 2b = - 15
- 2b ÷ - 2 = - 15 ÷ - 2
b = 7.5
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]b=\frac{27}{2}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating The Answer...}}\\\\2-\frac{b}{3}=-\frac{5}{2}\\--------------\\\rightarrow 2 - 2 -\frac{b}{3}=-\frac{5}{2}-2\\\\\rightarrow-\frac{b}{3}=-\frac{9}{2}\\\\\rightarrow (-\frac{b}{3})3=(-\frac{9}{2})3\\\\\rightarrow -b = -\frac{27}{2}\\\\\rightarrow \frac{-b = -\frac{27}{2}}{-1}\\\\\rightarrow \boxed{b=\frac{27}{2}}\text{ or } \boxed{b=13.5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Miyoko's goal is to earn more than this week. She earns for every day she works as a cryptographer, and
earns for every day she works as a geologist.
Write an inequality that represents the number of days Miyoko should work as a cryptographer and as a
geologist to achieve her goal.
Answer:
$250*C + $180*G = $950
Step-by-step explanation:
Solving for G, it is G = (950 - 250C)/180
Solving for C, it is C = (950 - 180G)/250
The Gala Restaurant uses the equation 30n - C + 200 = 0 to determine the cost for a room rental, where a represents the cost. in dollars, which depends on n. the number of people attending. Express the equation in slope y-intercept form: C = mn + b
Given:
The equation is:
[tex]30n-C+200=0[/tex]
To find:
The slope intercept form of the given equation.
Solution:
We have,
[tex]30n-C+200=0[/tex]
We need to write the given equation in the form of [tex]C=mn+b[/tex].
Adding C on both sides, we get
[tex]30n-C+200+C=0+C[/tex]
[tex]30n+200=C[/tex]
Interchanging the sides, we get
[tex]C=30n+200[/tex]
This equation is in the form of [tex]C=mn+b[/tex], where m is 30 and b is 200.
Therefore, the slope intercept form of the given equation is [tex]30n-C+200=0[/tex].
solve the system below by substitution. write the solution as a coordinate pair.
5x - y = 19
y = 2x - 1
The cost of one scooter is Rs.52,136. What is the cost of 34 scooters?
----------------------------------------------------------------------------------------------------------------------------
Rs.17,72,624
Rs.1,77,26,204
Rs.1,24,56,658
Answer:
Rs.1772624
Step-by-step explanation:
Multiply 52,236 by 34
72 x 24 in algorithm
I need help can someone help!
Answer:
x = -4
Step-by-step explanation:
y = 3x - 1
Replace all instances of Y into the second quation.
2x - (3x-1) = 5
2x -3x +1 = 5
-x = 4
x= -4
Which of the following are examples of Structuring?
(Select all that apply)
A) Trying to purchase or reload multiple prepaid cards/gift cards, in multiple transactions as smaller amounts
B) Purchasing prepaid cards/gift cards at different registers,
C) Breaking up a large amount of money by coming in several times a day to conduct financial services transactions
Answer:all of them
Step-by-step explanation:
I just took the test
'All the given statement' demonstrates structuring.
In the context of money laundering, 'Structuring' is characterized as the process in which a huge sum of money is split into smaller sections or transactions in order to locate funds without coming to the notice of the legal department.
To ensure this splitting of money, several bank accounts with several names are used. Attempts to make purchases worth smaller amounts using multiple cards.Registering these purchases with different platforms. Making financial transactions at different times of the day to avoid being caught.Thus, all the options are correct.
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BRAINLEST!!! PLEASE HELP ME WITH THIS QUESTION AND IF IT'S CORRECT I WILL DEFINITELY GIVE YOU THE BRAINLEST!!!
Answer:
327.6
Step-by-step explanation:
280x1.17 to find the amount of euros you will get
280x1.17=327.6
P(-3,6), Q(-3,-6) and R(6,-2) are the vertices of a triangle. Calculate the perimeter of this triangle.
Answer:
33.89
Step-by-step explanation:
the side lengths are the distances between the corner points of the triangle.
P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.
PQ = 6 - (-6) = 6 + 6 = 12
QR and RP are trickier.
we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.
QR :
QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97
QR = sqrt(97) ≈ 9.848857802
RP :
RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145
RP = sqrt(145) ≈ 12.04159458
the perimeter/circumference of the triangle is the sum of all 3 sides
= 12 + sqrt(97) + sqrt(145) ≈ 33.89
16
fy
What is the rate of change of the function shown on the
graph? Round to the nearest tenth.
14
(2. 12.5)
12
10
O 2.00
O 2.50
O 5.25
O 10.50
8
6
(1,5)
4
(-1,0.8) 3 (0,2)
-4 -3 -2 -1
-2
4 x
-4
-6
Answer:
[tex]2.50[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-1,0.8)[/tex]
[tex](x_2,y_2) = (0,2)[/tex]
[tex](x_3,y_3) = (1,5)[/tex]
[tex](x_4,y_4) = (2,12.5)[/tex]
Required
The rate of change (b)
The above graph is represented as:
[tex]y = ab^x[/tex]
For: [tex](x_2,y_2) = (0,2)[/tex];
We have:
[tex]y = ab^x[/tex]
[tex]2 = a * b^0[/tex]
[tex]2 = a *1[/tex]
[tex]2 = a[/tex]
[tex]a = 2[/tex]
For [tex](x_3,y_3) = (1,5)[/tex],
We have:
[tex]y = ab^x[/tex]
[tex]5 = a * b^1[/tex]
[tex]5 = a * b[/tex]
Substitute [tex]a = 2[/tex]
[tex]5 = 2 * b[/tex]
Divide by 2
[tex]2.5 = b[/tex]
[tex]b = 2.5[/tex]
Hence, the rate of change is 2.50
Mr Yadav buys a radio for Rs 640 and sells it for Rs 672 Find it's profit
Answer:
hope it is helpful to you