Answer:
The degree of polynomial is 2
Step-by-step explanation:
Given
[tex]p(y) = (y -4)^3 - y^3[/tex]
Required
The degree
When expanded, [tex]p(y) = (y -4)^3 - y^3[/tex] is:
[tex]p(y) =y^3-12y^2+48y-64-y^3[/tex]
Collect like terms
[tex]p(y) =-12y^2+48y-64-y^3+y^3[/tex]
[tex]p(y) =-12y^2+48y-64[/tex]
The degree of freedom is 2
Find the equation for the
following parabola.
Vertex (-2,-4)
Focus (-4,-4)
A. (7-4)2 = -8(x-2)
B. (x+4)2 = 8(y+2)
C. (y+4)2 = 8(x+2)
D. (y+4)2 = -8(x+2)
Answer:
[tex](y+4)^2 = -8(x+2)[/tex], option D.
Step-by-step explanation:
Equation of a parabola:
The equation of a parabola has the following format:
[tex](y - k)^2 = 4p(x-h)[/tex]
In which the center is (h,k) and the focus is (h+p,k).
Vertex (-2,-4)
This means that [tex]h = -2, k = -4[/tex]
So
[tex](y - k)^2 = 4p(x-h)[/tex]
[tex](y - (-4))^2 = 4p(x-(-2))[/tex]
[tex](y+4)^2 = 4p(x+2)[/tex]
Vertex (-2,-4)
Focus (-4,-4)
-4 - (-2) = -4 + 2 = -2
So p = -2 and
[tex](y+4)^2 = 4(-2)(x+2)[/tex]
[tex](y+4)^2 = -8(x+2)[/tex], option D.
Answer:
(y+4)2=−8(x+2)
The answer would be D.
Tom saves $750 a year. Bill saves $60 a month. How much more does Tom save a year than Bill?
Answer:
$30
Step-by-step explanation:
T = 750
B = 60(12)
T - B = X
750 - 720 = 30
Answer:
Tom saves 30 more dollars
Step-by-step explanation:
There’s 12 months in a year so
60 x 12 = 720
Tom has 750 so take away 720 that bill makes a year = 30
The slope of the line graphed below is -3.
true or false?
Answer:
False, the slope is POSITIVE 3.
A group of friends wants to go to the amusement park. They have $304.50 to spend
on parking and admission. Parking is $16.50, and tickets cost $32 per person,
including tax. How many people can go to the amusement park?
Answer:
9 people can go to the amusement park.
SSS SAS ASA or SSA or HL and explain
Answer:
SSS
Step-by-step explanation:
∆ ABC after reflected over y-axis and then translated by 2 units down ===> ∆A"B"C"
so the size of sides doesnt change
HELP ASAP!! WILL GIVE BRAINLIEST!!!! FULL ANSWERS ONLY!!!!!!
Find the x and y intercepts of the equation. Express your answers as points
5x+7y=-140
X-Intercept =
Y-Intercept =
Step-by-step explanation:
the answer is in the image above
When ringing up a customer, a cashier needs 18 seconds to process payment as well as 1 second to scan each item being purchased. If it takes 20 seconds to ring up a customer, how many items are being purchased?
telling time in intervals
Answer:
A. 5:12 B. 12:51
Step-by-step explanation:
. Use the smaller hand as the hour hand and the bigger hand to track each minute.
Use the Law of Sines to solve for x. Round to the nearest tenth.
F
Х
860
E
39°
7.9
G
Answer:
6.4
Step-by-step explanation:
What transformation is shown below??
Answer:
translation
Step-by-step explanation:
a translation. a translation is where the figure is moved, but not rotated or reflected.
Help plzzz and no links plz and thank you
Answer:
It's B, Points a and f. -5 and 5
Juan plans to use strategies to find 12x380 shows a strategy he could use
Answer:
3 x 4 x 380
Step-by-step explanation:
The correct strategy that he could use would be
3 x 4 x 380
This is basically splitting up the 12 into two numbers whose product equals 12. This shrinks the numbers and makes it easier to multiply the 380. Since it is easier to multiply 380 by 4 as opposed to 12. This strategy will still give you the same result as 12x380 and both will give you a product of 4,560
Ahmir is 20 years older than Brynn. In 5 years Ahmir will be 3 times as old as Brynn. What are their current ages?
Ahmir is 20, Brynn is 5.
Ahmir is 60, Brynn is 40.
Ahmir is 25, Brynn is 5.
Ahmir is 5, Brynn is 25.
a rectangle has a height of 5x and a width of x+2 express the area of the entire retangle
Answer:
6x+2
Step-by-step explanation:
How do you solve this? Thanks.
Answer:
Simulateneous equation
Step-by-step explanation:
Have to slove the equation given then plot the graph
Answer:
Graph a line segment with endpoints (1,-8) and (-4,3).
Step-by-step explanation:
Just identity the endpoints of the line segment given, then swap the coordinates for each pair to graph it's inverse.
Original point -> Corresponding inverse point
(a,b) ->(b,a)
(-8,1) ->(1,-8)
(3,-4) ->(-4,3)
So graph the other inverse which is also a line segment using endpoints (1,-8) and (-4,3).
(The inverse graph is just a reflection of the original relation over y=x.)
Complete the following
area model.
7)
[Drop Down 1]
5j
3572
10j
3
[Drop Down 2]
[Drop Down 3]
The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five number summary for prices based on a sample of major US airlines was: Min
Answer:
Between 100 and 125
Step-by-step explanation:
Given
[tex]Min =60[/tex]
[tex]Q_1 = 100[/tex]
[tex]Median = 110[/tex]
[tex]Q_3 = 125[/tex]
[tex]Max =150[/tex]
Required:
Between which values will the box of the box plot will stretch
All box plots stretches between the lower quartile and the upper quartile.
From the question, we have:
[tex]Q_1 = 100[/tex] ---- lower quartile
[tex]Q_3 = 125[/tex] ---- upper quartile
Hence, the box will stretch between 100 and 125
What is the length of line segment CD?
Enter your answer, as a decimal rounded to the nearest tenth, in the box.
CD =
units
A graph with lines drawn between points A begin ordered pair 1, 3 end ordered pair and B begin ordered pair 4, 3 end ordered pair, points C begin ordered pair -2, 2 end ordered pair and D begin ordered pair 4, -4 end ordered pair, and points E begin ordered pair -7, 0 end ordered pair and F begin ordered pair -2, 4 end ordered pair
Answer:
Assume you need to find distance CD, between points C(-2, 2), D(4, -4)
Use distance formula:
[tex]CD = \sqrt{(4 + 2)^2+(-4-2)^2} = \sqrt{72} = 6\sqrt{2}[/tex] ≈ 8.5 unitsAnswer:
C(x1,y1)=(-2, 2), D(4, -4)
D(x2,y2)=(4, -4)
we have
the length of line segment CD
=[tex]\sqrt{(x2-x1)²+(y2-y1)²}\\ \sqrt{(4+2)²+(-4-2)²}=8.48 units[/tex]
Internet service providers (ISP) need to resolve customer problems as quickly as possible. The probability for a customer call regarding Internet service interruption is resolved within one hour is 70%. During one day, the company had 10 customer calls. (10 marks)
a) What is the probability that exactly four of the customers had their problems solved? (Round your answer to the nearest thousandth).
Answer: 0.037
Step-by-step explanation:
The probability that exactly four of the customers had their problems solved will be 0.037.
Check attachment for further details. Note that 10!/6!4! = (10×9×8×7×6×5×4×3×2×1)/(6×5×4×3×2×1×4×3×2×1) = 210
Therefore,
= 210 × 0.7⁴ × 0.3^6
= 0.037
I don’t understand stand this can somebody please help me
Answer:
C
Step-by-step explanation:
The radius is 7, but in the standard form for a circle, the radius is squared which means that the answer is NOT A and B.
So now you have only two choices, C and D both of which have the radius shown as 49 which is 7 squared.
The center is at (5,-1)
that means that x will be written as (x - 5)
And y will be written as (y + 1)
Note: the signs of the center always change to the opposite of what they were.
The answer is (x - 5)^2 + (y + 1)^2 = 49
who has guathmath here. this is the invitation code. https://s.tutorus.xyz/lp/invite?code=F47XR9
Step-by-step explanation:
thank youjjdjdkdkdkdkkdididososiid
2. Denise took out a $16 000.00 loan from the bank to help pay for university. The bank offered an
annual interest rate of 5.6% compounded quarterly over a 3-year term. The entire loan is repaid
at the end of the 3-year term. Determine the total amount that Denise had to pay back.
Help me please I need help 2
Answer:
26.6 meters
Step-by-step explanation:
Tan(x) = [tex]\frac{opp}{adj}[/tex]
Tan(28) = [tex]\frac{x}{50}[/tex]
x = 26.6m
PLEASE HELP ME!!
Two sides of a right triangle are 8 and 12 in.
a. Find the missing side if these are the lengths of the legs.
b. Find the missing side if these are the lengths of a leg and hypotenuse.
Given vector u = (3, 1) and v = (2,-4), determine the value of v – 4u in
component form.
Answer:
(-10, -8)
Step-by-step explanation:
4u
Each component of vector u is multiplied by 4. So
u = (3, 1)
4u = (4*3, 4*1) = (12,4).
v – 4u
Subtraction of the components of vector v by the components of the vector 4u. So
v - 4u = (2, -4) - (12, 4) = (2-12, -4 - 4) = (-10, -8)
The value is (-10, -8)
Will give brainiest and extra points if the answer is correct
Answer:
The range in the average rate of change in temperature of the substance is from a low temperature of [tex]-22^{\circ}[/tex] to a high of [tex]16^{\circ}[/tex].
Step-by-step explanation:
In the sinusoidal function [tex]y=a\sin(b(x-c))+d[/tex], [tex]|a|[/tex] represents the amplitude and [tex]y=d[/tex] represents the equation of the midline.
By definition sinusoidal functions ebb and flow with respect to this midline. Therefore, the minimums must occur at [tex]y=d-|a|[/tex] and the maximums must occur at [tex]y=d+|a|[/tex].
Thus, the minimum, or low, occurs at [tex]y=-3-|-19|=-3-19=\boxed{-22}[/tex] and the maximum, or high, occurs at [tex]y=-3+|-19|=-3+19=\boxed{16}[/tex].
Given the Graph, identify the slope
Answer: The slope is -5/3 or -1.4
Algebra
[tex]s = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]s = \frac{5}{3} [/tex]
____ Is the amount of money owed in addition to the original amount
APR
Interest
APY
Principal
Answer:
APR INTEREST
THANKS ME LATUR
If f (2) is an exponential function where f(-2.5) = 9 and f(7) = 91, then find
the value of f(12), to the nearest hundredth.
Answer:
[tex]f(12) = 323.02[/tex]
[tex]f(12) = 16.7 * 1.28^{12[/tex]
Step-by-step explanation:
Given
[tex]f(-2.5) = 9[/tex]
[tex]f(7) = 91[/tex]
[tex]f(12) = 16.7 * 1.28^{12[/tex]
Required
[tex]f(12)[/tex]
An exponential function is:
[tex]f(x) = ab^x[/tex]
[tex]f(-2.5) = 9[/tex] implies that:
[tex]9 = ab^{-2.5}[/tex]
[tex]f(7) = 91[/tex] implies that:
[tex]91 = ab^7[/tex]
Divide both equations
[tex]91/9 = ab^7/ab^{-2.5}[/tex]
[tex]91/9 = b^7/b^{-2.5}[/tex]
Apply law of indices
[tex]91/9 = b^{7+2.5}[/tex]
[tex]10.11 = b^{9.5}[/tex]
Take 9,5th root of both sides
[tex]b = 1.28[/tex]
So, we have:
[tex]9 = ab^{-2.5}[/tex]
[tex]9 = a * 1.28^{-2.5}[/tex]
[tex]9 = a * 0.54[/tex]
[tex]a = 9/0.54[/tex]
[tex]a = 16.7[/tex]
f(12) is calculated as:
[tex]f(x) = ab^x[/tex]
[tex]f(12) = 16.7 * 1.28^{12[/tex]
[tex]f(12) = 323.02[/tex]
A chessboard is a square that has 8 rows and 8 columns of square spaces. If the side of a square space is 3.25 inches long, what is the area in square inches of the chessboard?
Answer:
676 square inches
a = L²
It has been established in the question that the length and the width of the chessboard has 8 rows an 8 columns respectively
length = with
rows = columns
8 × 3.25 = 26inches
AREA = L²
A = 26²
A = 676 square inches
The area in square inches of the chessboard given the side length of a square space is 676 inches².
What is the area of the chessboard?
A square is a quadrilateral with four equal sides.
The first step is to determine the area of a square space.
Area = length²
3.25² = 10.56 in²
The second step is to multiply the area of the square space by the number of squares.
8x 8 x 10.56 = 676 inches².
To learn how to determine the area of a square, please check: https://brainly.com/question/9030544