a) The degree of the polynomial is 5.
b) The second difference is -726 -126 -6 114 714
c) The difference when they are constant is 480.
What is a polynomial?
A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.
y values: -999 -140 -7 0 1 116 945
1st difference 859 133 7 1 115 829
2nd difference -726 -126 -6 114 714
3rd difference 600 120 120 600
4th difference -480 0 480
5th difference 480 480
The degree of a polynomial is the number of difference where it is constant.
The degree of the polynomial function is 5.
The constant is the 5th difference which is 480.
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Piper has a balance of $1,500 on her credit card with a 21% interest rate. Piper will make payments of $79.54 for 24 months to pay off the card. How much will Piper pay in interest?
Which of the following sentences is true?
Answer:
option a is correct
Step-by-step explanation:
any square is also a rhombus
Which data set could be represented by the box plot shown below? Choose 1 answer:
(Choice A)
2, 3, 5, 5, 7, 7, 8, 10, 11
(Choice B)
2, 3, 5, 5, 6, 7, 8, 8, 11
(Choice C)
2, 3, 5, 5, 6, 7, 8, 10, 11
(Choice D)
3, 3, 5, 5, 6, 7, 8, 9, 11
Answer:
B
Step-by-step explanation:
What Is the slope for these two points (3,-2) and (5,6)?
Answer:
4
Step-by-step explanation:
m = Δy/Δx = (6-(-2))/(5-3) =8/2 = 4
(tan A)/(sec(A) - 1) + (tan A)/(sec(A) + 1) = 2cos ecA
Answer:
Step-by-step explanation:
LHS = tanθ/secθ - 1 + tanθ/secθ + 1
Cross multiplication,
tanθ(1 - secθ) - tanθ(1 + secθ)/1 + sec^2θ
= tanθ(1 - secθ - 1 - secθ)/-tan^2θ
= -2secθ/-tanθ
= 2 x 1/cosθ / sinθ/cosθ
= 2cosecθ = RHS
Hence proved.
please help !!!!!!!!
8.96848786347
i think this should be right i did it with my 5th grade math skills and dont wory i have an a+
Plz help me well mark brainliest if correct........????
Answer:
Your answer is B
Step-by-step explanation:
edge = V^1/3
edge = 216^1/3
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
Two equations that have the same solution as the given equation are;
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
What is Multiplication property of equality?Both sides of an equation will remain equal, when both sides are
multiplied by the same amount.
The given equation: 2.3·p - 10.1 = 6.5·p - 4 - 0.01·p
Simplifying the above equation by collecting like terms gives;
2.3·p - 10.1 = 6.5·p - 0.01·p - 4 = 6.49·p - 4
2.3·p - 10.1 = 6.49·p - 4
Multiplying both sides of the original equation by 100 gives
100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)
230·p - 1010 = 650·p - 400 - p
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Which graph is defined by the function given below?
y=(x + 2)(x+7)
10-
A.
-10
OA. Graph A
OB. Graph B
C. Graph C
OD. Graph D
10+
B.
10-
10
10-
D.
Graph A is defined by the function y=(x + 2)(x+7) as the graph at y=0 where the function crosses those two points .
what is function ?The study of mathematics comprises the study of quantities and their variations, equations and associated structures, shapes and their positions, and locations where they can be found. A combination of inputs and corresponding outputs are referred to as a "function," which describes the relationship between them. The term "function" refers to an association between inputs and outputs where each input produces a single, unique result. There are two domains, or scopes, assigned to each function. Usually, the symbol f is used to signify functions (x). input is an x. There are four basic categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
The function's zeros are
0=x+2 x=-2
and
0=x+7 x=-7
Consequently, the graph at y=0 where the function crosses those two points .
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The coordinates of the vertices of a recangle are (- 2, 3); (4, - 4)(4, 3) and (-2, -4 ). What are the dimensions of the rectangle ?
Due in 10 min help!
Find t.
Given:
A right angle triangle with angles 45, 45, 90 degrees.
Hypotenuse of the triangle = [tex]7\sqrt{2}[/tex] mm
Base of the triangle = t
To find:
The value of t.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
Using this trigonometric ratio in the given triangle, we get
[tex]\cos (45^\circ)=\dfrac{t}{7\sqrt{2}}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{t}{7\sqrt{2}}[/tex]
[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=t[/tex]
[tex]7=t[/tex]
Therefore, the value of t is 7 millimetres.
HELP PLSS I'M LOST PLSSSSSSSSSSSSSSSSS
Answer:
First Row:
75/100
0.75
75%
Second Row:
10/100 (or 1/10)
0.10
10%
Step-by-step explanation:
Count the squares that are shaded in out of the 100.
Just divide the fraction together for the decimal.
Move the decimal two places to the right to get the percentage
What is the amount of < AGF?
Answer:
Angle AGF = 140
Step-by-step explanation:
180-40 = 140
Which of the following is equal to 2?
A. 6 + 4 = (2 + 1) 3
B. (6 + 4 = 2) - 1 3
C. 6+ (4 + 2) + 1x3
D. (6 + 4) = 2 - 1×3
9514 1404 393
Answer:
D
Step-by-step explanation:
Your calculator* can tell you the answer to this. Each expression is evaluated according to the order of operations.
A: 6 + 4/3·3 = 6 +(4/3)·3 = 6 +4 = 10
B: (6 +4/2) -1·3 = 6+2-3 = 5
C: 6 +(4/2) +1·3 = 6 +2 +3 = 11
D: (6 +4)/2 -1·3 = 10/2 -3 = 5 -3 = 2
_____
* If your calculator doesn't properly use the Order of Operations, you should get one that does. The calculator behind the Go.ogle search box reliably uses the order of operations, so you can use it if your own doesn't work properly.
Evaluate the expression for the given values when x = -2 and y = 5
2x + 2y =
Answer:
6
Step-by-step explanation:
2x is x * 2
-2 * 2 = -4
2y is y * 2
5 * 2 = 10
-4 + 10 = 6
Answer:
6
Step-by-step explanation:
-2 times 2 = -4
2 times 5 = 10
10-4 = 6
2x and 2y are Both Different terms.
Very Important) I need help with all my Math questions if your excellent at math and is passing your math class can you click on my name and go to my math questions and please help me with them. If correct and you need to show your work ill mark you Brainliest. Also I need Help with Health Questions also. Some have 1 answer but they aren't correct still need help with them.
Answer:
Where are the questions
6x-y=-23, 8x+3y=-9 solve for substitution
How much kinetic energy does a 180-kg deer have when it is prancing 9 m/s?
Answer:
7290 joules
Step-by-step explanation:
The formula for kinetic energy is mv²/2 so let’s put the numbers in:
180*81/2 which is 7290 joules
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3x-12y = 16 and x-4y = 2 solve using elimination
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Step-by-step explanation:
Rounded to the nearest inch what is the circumference of a circle with a radius of 15 inches
Answer:
95.25 or 95
Step-by-step explanation:
[tex]C=2\pi r[/tex]
C = 2 x [tex]\pi[/tex] x 15 = 94.24778in = 94.25 or 95
Hope I helped you my dear friend.
I need help on this question it’s due tomorrow.
The transformation in the graph is 1 units vertically downwards.
The correct option is A: The graph of g(x) is the graph of f(x) shifted down 1 unit.
What is transformation on the graphs?Let the function f(x) and g(x) are two real functions.
And g (x) = f (x) + k, where k is real numbers.
Function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
Given:
The function f(x) = eˣ,
and the function g(x):
g(x) = f(x)-1= eˣ-1.
The graph of both the functions are given in the attached images.
For the base function f (x) and a constant k, the function given by
The transformations in the graph is defined by:
g (x) = f (x) + k, where k is real numbers.
Function can be sketched by shifting f (x), k units vertically.
The value of k determines the direction of the shift. Specifically,
if k > 0, the base graph shifts k units upward, and
if k < 0, the base graph shifts k units downward.
Here, k = -1
And the graph of g(x) is the graph of f(x) is shifted down 1 unit.
Therefore, the f(x) is shifted to 1 unit downward.
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Raina has to give medicine to her cat every morning for the next days. How many weeks is this?
Answer:
(number of days)/7
Step-by-step explanation:
1 week = 7 days
Divide the number of days by 7 to find the number of weeks.
Two bulbs flush at regular intervals at 30 and 36 seconds respectively they flush together at 10:45 AM what time will they flush together for the second time
Answer: 10:48 AM
Explanation:
Two bulbs flash at regular intervals of 30 and 36 seconds respectively. LCM of 36 and 30 = 180. 180/60 = 3 minutes. They will flash together every 3 minutes. If they flash together at 10:45, the second time they will flash together will be 10:45 + 3 minutes = 10:48.
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PLEASE HELP
Find the value of x
-10
11
-6
8
Answer:
8
Step-by-step explanation:
Since it's an equilateral triangle, as you can tell from the red lines, m∠2 = 60. You can substitute to get:
⇒ 60 = 6x + 12
Subtract 12 from both sides
⇒ 48 = 6x
Divide by 6
⇒ x = 8
Therefore, the answer is 8.
Find the missing value for the exponential function represented by the table below.
a. 9.213 c. 7.203
b. 8.756 d. -7.203
Please select the best answer from the choices provided
Answer:
C. 7.203
Step-by-step explanation:
I calculated it logically
The solution is, : the missing value for the exponential function represented by the table below is 7.203.
Option c., 7.203
Here, we have,
Exponential sequence is given as
21, 14.7, 10.29, ____, 5.0421
Explicit formula of the function is given by
a_n = a* r^(n-1)
when, we have,
a = first term = 21
r = common ratio
= 14.7/21
= 0.7
So the sequence will be
a_n = 21* 0.7^(n-1)
We have to find the forth term of the sequence
a₄ = 21(0.7)³
= 7.203
so, we get,
a₄ = 7.203
Option C. 7.203 is the answer.
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The Board of Education (DOE) claims that the average salary of substitute teachers in school
district in Nassau County, NY, is about $175 per day. A random sample of 6 school districts is
selected, and the daily salaries (in dollars) are collected into calculation with sample mean is $80
and sample standard deviation is 6.3. Calculate at α = .05 significance level whether the true
mean greater than $175.
Please explain step by step and as clear as possible
The null hypothesis is rejected.
The mean is not greater than $175.
What is the hypothesis?An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.
Given:
Sample size (n) = 6
Sample mean ([tex]\bar x[/tex]) = $80
Sample standard deviation(s)=6.3
Significance level(α)=0.05
We have to test the claim that the true mean greater than $175.
The null and alternative hypotheses:
H₀ : μ = 175
H₁ : μ > 175
Here, Population Standard deviation is unknown and sample size is less than 30.
So we will use t- distribution.
Test Statistic t,
t = ([tex]\bar x[/tex] - μ) / {s/√n}
t = (80−175) / (6.3 /√6)
t = (80−175) / (6.3 / 2.45)
t = − 95 / 2.57196423
t = −36.937
degree of freedom (df) = n−1
= 6−1
= 5
p-value at t = −36.937, df = 5 and α = 0.05
Absolute value of −36.937 = 36.937
Notice that 36.937 does not show up in the table, but it does fall between the two values 31.821 and 63.657.
So, p-value = 1
Since, p-value > α
That means, we fail to reject the null hypothesis (H₀).
Therefore, the true mean is not greater than $175.
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a baker has 88 muffins he fills large boxes that hold 9 muffins each then he puts the leftover muffins in a small box how many muffins are in the small
Answer:
7 muffinsStep-by-step explanation:
Okay, let's do 88/9 = 9 R 7
The R7 will go in the small box, so 7 is your answer
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-Aphrodite
which doesn't belong