it's a cubic function
The given function f(x) = 2x³ – 4x² + 5 is a cubic function.
What is a cubic polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
A cubic polynomial is a sort of polynomial that is based on the variable's largest exponent, or degree, in mathematical terms. As a result, a cubic polynomial is one in which the degree or maximum power of the variable is 3.
It is observed that the given function is a cubic function as its highest power of the variable is three.
Therefore, the given function f(x) = 2x³ – 4x² + 5 is a cubic function.
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Work out the length of X.
25 cm
х
24 cm
The diagram is not drawn accurately.
0
cm
Answer:
By Pythagoras theorem
H^2=P^2+B^2
25^2=x^2+24^2
625=x^2 + 576
625-576=x^2
49=x^2
x^2=49
x=√49
x=7cm
Hope this helps uhh
prove that it is congruent
Answer:
The dashes on the side lengths mean that they are equal in length
⇒ PQ = RP
The triangles share one side PS
The figure also states that m∠QPS = m∠RPS
Therefore, the triangles are SAS congruent since they have two pairs of congruent sides and a congruent included angle.
A company promises to release a new smartphone model every month. Each model's battery life will be 5% longer than the previous model's. If the current model's battery life is 663.0 minutes, what will the latest model's battery life be 7 months from now?
Answer:
895.05
Step-by-step explanation:
5% of 663 is 33.15, so times 33.15 by the 7 months and the answer to that is 232.05 then add that to the current battier life.
The answer is 895.05
Find the average of this set of numbers.28, 26, 21, 13
A) 22
B) 20
C) 19
D) none of the above
Answer:
A
Step-by-step explanation:
26 + 28 = 54
54 + 21 = 75
75 + 13 = 88
88 / 4 = 22
Answer is A
Answer: 22
Step-by-step explanation: Add all of the numbers in the data set: 28+26+21+13= 88
Then divide 88 by 4: 22
If z varies directly with the square of x and inversely with the cube of y, when x = 8, y = 2, and z = 12, what is x when y = 1 and z = 24?
PLEASE HELP!!! :))))
Step-by-step explanation:
it just means
z = k×x²/y³
12 = k×8²/2³ = k×64/8 = k×8
k = 12/8 = 3/2
24 = k×x²/1³ = 3/2 × x²/1 = 3/2 × x²
24/(3/2) = x²
48/3 = x²
16 = x²
x = 4 or
x = -4
=
If f(x) is an exponential function where f(-2) = 25 and f(7) = 85, then find the
value of f(14), to the nearest hundredth.
=
Exponential from two points
The exponential function f(x) can represent growth or decay
The value of f(14) is 226.07
How to determine the value of f(14)?The given parameters are:
f(-2) = 25 and f(7) = 85
An exponential function is represented as:
f(x) = ab^x
So, we have:
ab^-2 = 25
Also, we have:
ab^7 = 85
Divide both equations.
This gives
b^9 = 3.4
Take the 9th root of both sides
b = 1.15
Recall that:
ab^7 = 85
This gives
a* 1.15^7 = 85
Solve for a
a = 31.95
So, the exponential function is:
f(x) = 31.95 * 1.15^x
Substitute 14 for x
f(14) = 31.95 * 1.15^14
f(14) = 226.07
Hence, the value of f(14) is 226.07
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Find the 10th term, 18, 72,288,...
Step-by-step explanation:
a = 18
n = 10 th term
difference (d) = 72-10 = 62
an ( n th term ) = a + (n-1)d
a10 ( 10 th term = 18 + (10-1)62
= 18 + 9×62
= 18 + 558
10 the term = 576
100 POINTS! ! !
Exploiting will be reported.
Chase deposits $6,604.80 into a savings account that pays a simple annual interest rate of 3.22%. How much interest will he earn after 4 years?
SHOW WORK and will give brainlist.
Answer:
$850.69824
Step-by-step explanation:
simple interest formula : (principal * rate of interest * time)/100(6,604.80 * 3.22 * 4)/100$850.69824Answer:
$850.70 (nearest cent)
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where:
A = final amountP = principal (initial balance)r = annual interest rate (in decimal form)t = time (in years)Given:
P = $6,604.80r = 3.22% = 0.0322t = 4 yearsSubstituting given values into the formula, and solving to find A:
⇒ A = 6604.8(1 + 0.0322 · 4)
= 6604.8(1.1288)
= $7455.50 (nearest cent)
Therefore, to find the amount of interest earned, subtract the principal from the final amount:
⇒ I = A - P
= 7455.50 - 6604.80
= $850.70 (nearest cent)
Reflections on a Coordinate Plane
Answer:
The reflection coordinates of JKL would be:
J (3,7)
K (2,3)
L (-1,5)
The reflection coordinates of MNP would be:
M (8,-6)
N (2,-4)
P (8,-4)
Step-by-step explanation:
Answer the questions below about the quadratic function. g(x)=-2x^2+16x-31
Answer:
Hope it helps!!!Brainliest pls!!!
Solve the equation, 3x – 6 = 12, for x. Which of the following properties did you apply? Question 2 options: A) Addition property of equality and multiplication property of equality B) Addition property of equality and division property of equality C) Distributive property, subtraction property of equality, and multiplication property of equality D) Distributive property, addition property of equality, and division property of equality
Exercise #5: Quadrilateral EFGH has vertices at E(-6,2), F(3,8), G(7,2), and H(-2,-4).
Calculate the slopes of all four sides of EFGH. Use these slopes to prove that EFGH is a rectangle.
Answer:
The slope of both EF and GH are 2/3
The slope of both FG and EH are -3/2
You can see that these slopes are perpendicular, forming a rectangle
Step-by-step explanation:
To find slope use the slope formula: y1 - y2 / x1 - x2
so first:
8 - 2 / 3 - (-6) = 2/3
(-4) - 2 / (-2) - 7 = 2/3
Then:
8 - 2 / 3 - 7 = -3/2
2 - (-4) / (-6) - (-2) = -3/2
I really need help... can someone pls help me
Volume = length x width x height
Volume of large box = 4 x 3 x 5 = 60 cubic feet.
the volume of the smaller boxes is greater than the volume of the larger box so he cannot fit them all.
Help me pls
Question 4 Part B (2 points): In part A you factored f(x) = 9m2 + 3m - 2. What are the x intercepts of this function? SELECT ALL THAT APPLY.
A.
m = -1/3
B.
m = 1/3
C.
m = -2/3
D.
m = 2/3
E.
m = 3
F.
m = -3
G.
m = 6
H.
m = -6
We need zeros
[tex]\\ \rm\Rrightarrow 9m^2+3m-2=0[/tex]
[tex]\\ \rm\Rrightarrow 9m^2-3m+6m-2=0[/tex]
[tex]\\ \rm\Rrightarrow 3m(3m-1)-2(3m-1)=0[/tex]
[tex]\\ \rm\Rrightarrow (3m-2)(3m-1)=0[/tex]
m=2/3mm=1/3How many more quarters does
Tommy need before he has $3.00
in quarters?
Find the question. 1/3 +(5/7)=
Answer:
22/21
Step-by-step explanation:
1/3 + 5/7
LCM of 3,7 = 3 x 7 = 21
1/3
= 1/3 x 7/7
= ( 1 x 7 )/( 3 x 7 )
= 7/21
5/7
= 5/7 x 3/3
= ( 5 x 3 )/( 7 x 3 )
= 15/21
1/3 + 5/7
= 7/21 + 15/21
= ( 7 + 15 )/21
= 22/21
If 18% of a number is 24, find 3% of that number. You must show your work in the work space.
Answer:
hello
18 % = 24
3 % = ( 3 x 24 ) / 18 = 4
Step-by-step explanation:
WILL MARK BRAINLIEST
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y-6= -5(x-3)
y - 6 = - 5 * x - 5 * (-3)
y - 6 = -5x + 15
y + 5x = 15 + 6
5x + y = 21
Answer:
5x + y = 21.
Step-by-step explanation:
y - 6 = -5(x - 3)
y - 6 = -5x + 15
5x + y - 6 = 15
5x + y = 15 + 6
5x + y = 21.
to get to a library you must travel 1/2 mi down one street, 3/5 mi down another street and 1 1/10 mi down a third street. How many miles did you travel total to get to the library?
Answer:
11/5mi or 2.2mi
Step-by-step explanation:
1/2 +3/5 +11/10 =11/5mi
Hey there!
0.5 + 0.6 + 1.1 = 2.2
Total miles = 2.2mi
draw a diagram and explain how you can use it to find 3 ÷ 1/5
Answer:
3/1/5
3×5/1
15/1
15 you don't need diagram
The polynomial below is a perfect square trinomial of the form A^2 - 2AB + B^2
9x^2 - 12x + 4
A. True
B. False
Answer:
True
Step-by-step explanation:
[tex]9x^2-12x +4 \\\\=(3x)^2 - 2\cdot 3x \cdot 2+2^2\\\\=(3x-2)^2[/tex]
Find the missing number if the average is 8.8 and _____
A) 4
B) 8
C) 12
D) none of the above
Answer:
none of the above
Step-by-step explanation:
Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4. We are told the sum of x, x+2, and x+4 is equal to 72.
x + (x + 2) + (x + 4) = 72
3x + 6 = 72
3x = 66
x = 22.
This means that the integers are 22, 24, and 26. The question asks us for the product of these numbers, which is 22(24)(26) = 13728.
The answer is 13728.
Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. How many slices of pears does she have to share with her teammates? Which equations can you use to solve the problem? Select two equations.
A. 5 × 3 = 15
B. 1/5 × 1/3= 1 /15
C. 1/5 × 3 = 3/5
D. 5 ÷ 1/3 =15
E. 1/3 ÷ 5 = 1/15
Answer :D
A (or) 5 * 3= 15
Question explanation:
5 pears.
3 pieces
[tex](1 * 3) + (1 * 3) + (1 * 3) + (1 * 3) + (1 * 3)[/tex]
Which is:
[tex](3) * (3) * (3) * (3) * (3)[/tex]
Which, simplified:
[tex]3 * 5[/tex]
Which equals:
[tex]3 * 5 = 15[/tex]
Hope this helps :) - Answered by Lilo
Select the correct answer.
Function m is the result of a transformation on the parent tangent function.
Answer:
C
Step-by-step explanation:
General equation of a tangent function is: y=atanb(theta-c)+d
Based on the graph, it moved pi/2 to the right.
So, the answer is C.
The result of a transformation on the parent tangent function is g(x) = tan( x - (π / 3 ). The correct option is C.
What is a parent function?A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family.
The general equation of a tangent function is represented as below:-
y=atanb(Ф-c)+d
Based on the graph, it moved π/2 to the right. Therefore, the result of a transformation on the parent tangent function is g(x) = tan( x - (π / 3 ). The correct option is C.
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An airplane flies with a constant speed
of 840 km/h. How far can it travel in
1 hour?
Answer:
840 km
Step-by-step explanation:
The speed expression ...
840 kilometers per hour
means the plane files 840 kilometers in each hour.
In 1 hour, it will travel 840 km.
Find the domain and range of the function shown.
Please help I’ll mark brainliest thank you.
Answer:
A
Step-by-step explanation:
Remember domain is input and range is output.
Input: All real numbers
Output: [0, infinity)
A
What is the result when you combine only the constants in the following expression?
3a-6b+3-7a+ 10
write an equation for the graph below in the terms of x
Woody has a lasso is 11ft long. No peep has a lasso that is 23ft longer than wordy how long is no peep lasso
Answer:
Bo Peep's lasso is 34ft long.
Step-by-step explanation:
Simply add 11 to 23.
Hope that helps!
Answer:
no peep lasso: 34ft
Step-by-step explanation:
11 + 23 = 34
Can somebody please help me
Answer: C
Step-by-step explanation:
This is just a straight definition - for a normal distribution, the percent within 2 standard deviations of the mean is about 95.44%.