Answer:
odd
Step-by-step explanation:
Just so you know there are shortcuts for determining if a polynomial function is even or odd. You just to make sure you use that x=x^1 and if you have a constant, write it as constant*x^0 (since x^0=1)
THEN!
If all of your exponents are odd then the function is odd
If all of your exponents are even then the function is even
Now you have -4x^3+4x^1
3 and 1 are odd it is an odd function
This a short cut not the legit algebra way
let me show you that now:
For it to be even you have f(-x)=f(x)
For it be odd you have f(-x)=-f(x)
If you don't have either of those cases you say it is neither
So let's check
plug in -x -4(-x)^3+4(-x)=-4*-x^3+-4x=-4x^3+-4x
that's not the same so not even
with if we factor out -1 .... well if we do that we get -(4x^3+4x)=-f(x)
so it is odd.
Find x and y in 3^(2x-y)=1 and 16^x/4=8^(3x-y)
the solutions are (x = 2) and (y = 4).
To find the values of x and y in the given equations, let's solve them step by step:
1. (3^{2x-y} = 1)
For any nonzero number raised to the power of 0, the result is always 1. Therefore, we can rewrite the equation as:
[2x - y = 0]
Now, we have one equation in terms of (x) and (y).
2.[tex]\( \frac{16^x}{4} = 8^{3x-y} \)[/tex]
We'll simplify the left side first:
[tex]\[ \frac{16^x}{4} = \frac{(4^2)^x}{4} = \frac{4^{2x}}{4} = 4^{2x-1} \][/tex]
Now, the equation becomes:
[4^{2x-1} = 8^{3x-y}]
We know that (8 = 2^3), so we can rewrite the right side of the equation in terms of 2:
[4^{2x-1} = (2^3)^{3x-y} = 2^{9x-3y}]
Now, we have:
[4^{2x-1} = 2^{9x-3y}]
Since (4 = 2^2), we can rewrite the left side as:
[ (2^2)^{2x-1} = 2^{4x-2} ]
So, the equation becomes:
[2^{4x-2} = 2^{9x-3y}]
Since the bases are the same, the exponents must be equal:
[4x - 2 = 9x - 3y]
Now, we have two equations:
[2x - y = 0]
[4x - 2 = 9x - 3y]
From the first equation, we can solve for (y):
[y = 2x]
Substituting (y = 2x) into the second equation:
[4x - 2 = 9x - 3(2x)]
[4x - 2 = 9x - 6x]
[4x - 2 = 3x]
[x = 2]
Now, substituting (x = 2) into the first equation to find (y):
[2(2) - y = 0]
[4 - y = 0]
[y = 4]
So, the solutions are (x = 2) and (y = 4).
Grace and her dad are planning to attend to State Fair. an adult ticket is $15 the price of an adult ticket is half the price of a student ticket plus $8. write an equation to determine how much grace will pay for the student ticket
Answer:
Equation:
[tex]15=\dfrac{1}{2}x+8[/tex]
Student ticket price = $14
Step-by-step explanation:
An adult ticket = $15
Let a student ticket = $x
An adult ticket is half the price of a student ticket plus $8, then an adult ticket
[tex]=\$\left(\dfrac{1}{2}x+8\right)[/tex]
Equate the prices for the adult ticket:
[tex]15=\dfrac{1}{2}x+8[/tex]
Subtract 8 from both sides:
[tex]15-8=\dfrac{1}{2}x+8-8\\ \\7=\dfrac{1}{2}x[/tex]
Multiply this equation by 2:
[tex]7\cdot 2=x\\ \\x=\$14[/tex]
Answer:
(1/2)x + 8 = 15
Step-by-step explanation:
There are 20 students in the high school glee club. They need to pick four students to serve as
the student representatives for an upcoming trip. How many ways are there to choose the
representatives?
Answer:
4845 ways
Step-by-step explanation:
To solve this problem we use the formula of combinations
[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]
Where n is the total number of students that can be chosen and you choose r from them.
So
[tex]n = 20\\r = 4[/tex]
Note that in this case the order in which the 4 students are chosen does not matter.
Then
[tex]20C4=\frac{20!}{4!(20-4)!}[/tex]
[tex]20C4=\frac{20!}{4!*16!}=4845\ ways[/tex]
Answer:
4845
Step-by-step explanation:
Total number of students : 20
Students to be picked : 4
Does order matter? : No
Use combination formula (see attached)
The rectangle has rotational symmetry of order?
Answer:
A rectangle has rotational symmetry of order 2.
Step-by-step explanation:
The rotational symmetry involves rotation.
The rotational symmetry of order is the number of times a shape is mapped onto itself during a 360° rotation.
A rectangle has rotational symmetry of order 2.
When a rectangle is rotated on 180° or 360° it is mapped onto itself.
Answer:
2
180 & 360
Step-by-step explanation:
Landon was taking a math test. He finished 1/2 of the test in 3/5 of an hour. How much of the test will he have done in one hour if he keeps the same pace?
Answer:
[tex]\frac{5}{6}\ of\ the \ test[/tex]
Step-by-step explanation:
we know that
Landon finished 1/2 of the test in 3/5 of an hour
so
by proportion
Find out how much of the test will he have done in one hour
[tex]\frac{(1/2)}{(3/5)}\frac{test}{hours} =\frac{x}{1}\frac{test}{hour}\\ \\x=(1/2)*(5/3)\\ \\x=\frac{5}{6}\ of\ the \ test[/tex]
Answer:
5/6
Step-by-step explanation:
you just do it.
I need help fast !!!
Answer:
D
Step-by-step explanation:
By definition:
rational number = fraction or decimals that are non-whole numbers
negative = well..... negative numbers have a minus (-) in front of them.
Looking at the options, only D has a fraction that has a (-).
Select the correct answer
Which table shows a proportional relationship between x and y?
A
Answer:
C
Step-by-step explanation:
You are looking for when y divided by x is the same number per each row.
Choice A.. 4/2 doesn't equal 9/4 so not choice A
Choice B.. 4/3 doesn't equal 16/9 so not choice B
Choice C works because 12/4 = 15/5 = 18/ 6 ... all of these equal 3 so choice C is an answer
Choice D.. 4/1 doesn't equal 15/3 so not choice D
Choice C is the only one where you have y/x is the same per each row
POINTS! APLENTY!
A cone with a base radius of 8 cm fits inside a sphere of radius 10 cm. Find the perpendicular height of the cone.
Please Explain!
Thank you very much for your help!
Solve |5-8x| -7 < 8
Answer:8
Step-by-step explanation:
Solving the given equation we get [tex]\[ -\frac{5}{4} < x < \frac{5}{2} \][/tex]
1. We start by isolating the absolute value expression by adding 7 to both sides of the inequality.
2. Then, we split the inequality into two cases based on the inner expression of the absolute value: when [tex]\( 5 - 8x \)[/tex] is non-negative and when it is negative.
3. Solving each case separately, we find the range of values for [tex]\( x \).[/tex]
4. Finally, we combine the solutions from both cases to get the final solution: [tex]\( -\frac{5}{4} < x < \frac{5}{2} \).[/tex]This means that[tex]\( x \)[/tex]lies between -5/4 and 5/2.
To solve the inequality[tex]\( |5 - 8x| - 7 < 8 \)[/tex], we'll first isolate the absolute value expression and then solve for [tex]\( x \).[/tex]
1. Add 7 to both sides:
[tex]\[ |5 - 8x| < 15 \][/tex]
2. Now, we'll split the inequality into two cases based on the inner expression of the absolute value:
Case 1: [tex]\( 5 - 8x \geq 0 \)[/tex]
[tex]\[ 5 - 8x < 15 \][/tex]
[tex]\[ -8x < 10 \][/tex]
[tex]\[ x > \frac{10}{-8} \][/tex]
[tex]\[ x > -\frac{5}{4} \][/tex]
Case 2:[tex]\( 5 - 8x < 0 \)[/tex]
[tex]\[ -(5 - 8x) < 15 \][/tex]
[tex]\[ -5 + 8x < 15 \][/tex]
[tex]\[ 8x < 20 \][/tex]
[tex]\[ x < \frac{20}{8} \][/tex]
[tex]\[ x < \frac{5}{2} \][/tex]
So, we have two sets of solutions:
Case 1: [tex]\( x > -\frac{5}{4} \)[/tex]
Case 2:[tex]\( x < \frac{5}{2} \)[/tex]
Combining these two cases, we get:
[tex]\[ -\frac{5}{4} < x < \frac{5}{2} \][/tex]
1. We start by isolating the absolute value expression by adding 7 to both sides of the inequality.
2. Then, we split the inequality into two cases based on the inner expression of the absolute value: when \( 5 - 8x \) is non-negative and when it is negative.
3. Solving each case separately, we find the range of values for \( x \).
4. Finally, we combine the solutions from both cases to get the final solution: [tex]\( -\frac{5}{4} < x < \frac{5}{2} \).[/tex] This means that [tex]\( x \)[/tex] lies between -5/4 and 5/2.
Complete question
Solve |5-8x| -7 < 8
What is the average rate of change for this function for the interval from x 3 to x 5?
Answer:
49
Step-by-step explanation:
The average rate of change is the ratio of the CHANGE IN Y COORDINATE and CHANGE IN X COORDINATE
In this table we are asked to determine the change in rate from x= 3 to x=5
at x =3 , y = 27
at x=5 , y=125
Hence
Change in y = 125-27 = 98
Change in x = 5-3 = 2
Hence Average Rate of Change = 98/2 = 49
Answer = 49
Each side length of a triangle is 4 cm. What type of triangle is it?
acute
right
equilateral
scalene
guys/girls help what is 30x1= and the times it by fish and eat it and tell me what u get
Answer:
you cant do that but the answer would be 0
Step-by-step explanation:
because if you eat something it would be gone in our tummy
Consider the following sequence 24,18,..
Assuming the sequence is geometric,
write the next three terms.
24, 18,
b.
Write an explicit equation
representing the sequence above.
Answer:
see explanation
Step-by-step explanation:
Since the sequence is geometric then the common ratio (r) is
r = [tex]\frac{18}{24}[/tex] = [tex]\frac{3}{4}[/tex] = 0.75
To find the next term in the sequence, multiply the previous term by r
The next 3 terms are
18 × 0.75 = 13.5
13.5 × 0.75 = 10.125
10.125 × 0.75 = 7.59375
The n th term equation of a geometric sequence is
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term, that is a = 24, hence
[tex]a_{n}[/tex] = 24[tex](0.75)^{n-1}[/tex]
What is the slope of the line?
slope = -2
slope = -1
slope = 1
Use the points where the line crosses the x and y axis.
(2,0) and (0,2)
Slope = change in Y over the change in x.
Slope = (2-0) / (0-2)
Slope = 2/-2
Slope = -1
The following dot plot summarizes the number of vitamins Omur's mom took each day since she started her new diet. Each dot represents one day.
Based on this data, what is a reasonable estimate of the probability that Omur's mom takes exactly 6 vitamins tomorrow?
CHOOSE 1 ANSWER:
A.) 18%
B.) 23%
C.) 27%
D.) 38%
Please help me on this question and answer too.C
Answer: C) 27%
Step-by-step explanation:
There are 3 dots (vitamins) on six and 11 dots (vitamins) total.
The probability is [tex]\dfrac{successes(vitamins\ on\ six)}{total\ possible\ outcomes(all\ vitamins)}=\dfrac{3}{11}=\large\boxed{27\%}[/tex]
Option: C is the correct answer.
C. 27%
Step-by-step explanation:The dot plot can be reoresented in tabular form as follows:
Number of vitamins Number of days
1 2
3 1
4 2
5 1
6 3
7 1
9 1
Hence, the total number of days= 2+1+2+1+3+1+1=11
Also, the number of days in which Omur's mother took 6 vitamins= 3
( Since there are 3 dots over 6)
Hence, the estimated probability that Omur's mom take exactly 6 vitamins tomorrow is:
[tex]=\dfrac{3}{11}\times 100\\\\=27.27\%\\\\\text{which\ is\ approximately}\\\\=27\%[/tex]
find the equation in slope intercept form parallel to y=5x + 2 that pases through (-6,-1)
Answer:
y = 5x + 29
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 = 5x + 2 is in this form with slope m = 5
• Parallel lines have equal slopes, hence
y = 5x + c ← is the partial equation of the parallel line
To find c substitute (- 6, - 1) into the partial equation
- 1 = - 30 + c ⇒ c = - 1 + 30 = 29, thus
y = 5x + 29 ← in slope- intercept form
In f(x) = 2x^2-8x-10 the y intercept is at and the x intercepts are (-1,0) and
Answer:
see explanation
Step-by-step explanation:
To find the y- intercept let x = 0
f(0) = 0² - 8(0) - 10 = 0 - 0 - 10 = - 10
The y- intercept is (0, - 10)
To find the x- intercepts let f(x) = 0, that is
2x² - 8x - 10 = 0 ( divide through by 2 )
x² - 4x - 5 = 0
Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)
The factors are - 5 and + 1, since
- 5 × 1 = - 5 and - 5 + 1 = - 4, hence
(x - 5)(x + 1) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
The x- intercepts are (- 1, 0) and (5, 0)
Final answer
The y-intercept of the function f(x) = 2x²8x-10 is at (0, -10), and the x-intercepts are (-1,0) and (5,0).
To determine the y-intercept and the other x-intercept of the quadratic function f(x) = 2x²-8x-10, we can use the standard forms and properties of quadratic equations.
The y-intercept occurs when x=0. Substituting x with 0 in the function, we get f(0) = 2(0)²- 8(0) - 10 = -10. Thus, the y-intercept is at (0, -10).
To find the other x-intercept given one of them as (-1,0), we can factor the quadratic equation, or use the quadratic formula. Factoring gives us:
(2x + 2)(x - 5) = 0
2x + 2 = 0 would give us an x-intercept at x = -1, which we already have. x - 5 = 0 gives us the other x-intercept at x = 5. So, the other x-intercept is at (5,0).
how many solutions are there?
Answer:
Infinitely many solutions
Step-by-step explanation:
There is a solution, but not one, there is an infinite amount of them.
Thats why if you were to graph this it'd just be a line continuously going up
Konichiwa~! My name is Zalgo and I am here to help you out on the marvelous day! The answer to your question is Answer Choice C;Infinitely Many Solutions.
I hope that this helps! :D
"Stay Brainly and stay proud!" - Zalgo
(By the way, do you think you could give me Brainliest? I'd really appreciate it! Have a nice day! :3)
Do 9, 12, 14 form a right triangle
Answer:
No
Step-by-step explanation:
To determine if the 3 sides form a right triangle.
Use the converse theorem of Pythagoras.
If the square of the longest side is equal to the sum of the squares of the other two sides then the triangle is right,
longest side = 14 and 14 ² = 196
9² + 12² = 81 + 144 = 225
Since 196 ≠ 225 the triangle is not right
1:
Tickets for the Battle of the Bands went on sale this week. On the first day of sales, 45 adult tickets and 20 student tickets were sold for a total of $875. On the last day of ticket sales, 25 adult tickets and 40 student tickets were sold for a total of $775. Let x represent the cost for each adult ticket and let y represent the cost for each student ticket. Write a system of equations to model this scenario and solve that system to determine the cost of each adult ticket.
First Day of Sales Equation:
Last Day of Sales Equation:
What is the cost of each adult ticket?
dollars.
Answer:
First day: 45x +20y = 875
Second day: 25x + 40y = 775
Adult ticket price: $15
Step-by-step explanation:
See paper attached. (:
The system of equations that model this scenario is:
45x + 20y = $875 equation 1
25x + 40y = $775 equation 2
The price of adults tickets is $15. The price of student's ticket is $10.
How many adults ticket were sold?In order to determine this value, multiplot equation 1 by 2 and subtract the resulting equation from equation 2.
90x + 40y = 1750 equation 3
975 = 65x
x = 15
How many students ticket were sold?Substitute for x in equation 1
45(15) + 20 = 875
675 + 20y = 875
y = (875 - 675) / 20
y = 10
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Foure ABCD is a parallelogram
What is the value of x
please help
Answer:
x = 7
Step-by-step explanation:
The property of a parallelogram is the opposite sides are congruent, hence
AD = BC ← substitute values
5x + 3 = 38 ( subtract 3 from both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Given the following: MAB = mBC = mCD.
In circle F, what is the measure of
A. 7.5°
B. 30°
C. 15°
D. 45°
Answer:
The correct answer is option B. 30°
Step-by-step explanation:
Points to remember
The central angle of an arc is double the value of arc subtended on the the other part of the circle
From the figure we can see a circle with center F.
It is given that, mAB = mBC = mCD, means that, central angles of all these three arcs are equal.
To find the m<AFB
Fro the figure we get,m<CED = 15°
Therefore central angle of arc CD = 30°
So m<AFB = 30°
Which are the solutions of the quadratic equation?
x2 = 7x + 4
Step-by-step explanation:
[tex]x {}^{2} = 7x + 4[/tex]
It can also be written as:-
[tex]x {}^{2} - 7x - 4 = 0[/tex]
Now, here a=1, b= -7 and c = -4
Now by quadratic formula,
[tex]d = b {}^{2} - 4ac[/tex]
Calculate d which is
[tex] \sqrt{65} [/tex]
Now, the roots will be:-
[tex]x = ( - b + \sqrt{d} ) \div 2a[/tex]
and hence it will become:-
[tex]x = (7 + \sqrt{65} ) \div 2[/tex]
and
[tex] x = (7 - \sqrt{65} ) \div 2[/tex]
Answer: third option.
Step-by-step explanation:
Move the [tex]7x[/tex] and [tex]4[/tex] to the left side of the equation:
[tex]x^2 = 7x+ 4[/tex]
[tex]x^2 -7x- 4=0[/tex]
Now you need to apply the Quadratic formula:
[tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex]
In this case you can identify that:
[tex]a=1\\b=-7\\c=-4[/tex]
Then you can substitute values into the Quadratic formula and get the following solutions:
[tex]x=\frac{-(-7)\±\sqrt{(-7)^2-4(1)(-4)} }{2*1}\\\\x_1=\frac{7-\sqrt{65} }{2}\\\\x_2=\frac{7+\sqrt{65} }{2}[/tex]
A stock has a 25% probability of increasing by $10 and a 75% probability of decreaing by $5. What is the stocks expected increase or decrease?
Please help me!!!!
Step-by-step explanation:
The expected value is the sum of each probability times the value.
E = 0.25 (10) + 0.75 (-5)
E = -1.25
The stock is expected to decrease by $1.25.
What is the volume of the cylinder shown? (Use 3.14 for pi.)
1,978.2 in^3
20,771.1 in^3
14,836.5 in^3
1,413 in^3
Answer:
14,836.5 in^3
Step-by-step explanation:
The volume of a cylinder is given by the equation (πr^2)h where r stands for radius and h stands for height
The radius of the cylinder is 15 in
The height of the cylinder is 21 in
Volume=15×15×21×π
=14836.5 in^3
X=
A. 115.5
B. 137
C. 180
Answer:
The correct answer option is C. 180
Step-by-step explanation:
We are given a figure of a circle with two known angles measuring 137 degrees and 94 degrees and we are to find the value of x.
Finding x:
[tex]137 = \frac{1}{2} (\angle x + 94)[/tex]
[tex]137 = \frac{1}{2} \angle x + 47[/tex]
[tex]\frac{1}{2} \angle x = 137 - 47[/tex]
[tex]\frac{1}{2} \angle x = 90 [/tex]
[tex] \angle x = 90 \times 2&# 1 0 [/tex]
x = 180
Answer:
the answer is 180
Step-by-step explanation:
Because yes!! Also I hope you have a wonderful wonderful day!! :D
What is the explicit rule for the arithmetic
sequence on which the series is based?
Answer:
12,6
Step-by-step explanation:
The explicit rule for the arithmetic sequence on which the series is based is an = 12 + (n - 1) * 6
How to determine the explicit rule of a sequence?Series are sum of sequences. The nth term of an arithmetic series is expressed as:
an = a + (n - 1)d
where
a is the first term = 12
n is the number of terms
d is the common difference = 18 - 12 = 24 - 18 = 6
Substitute
an = 12 + (n - 1) * 6
Hence the explicit rule for the arithmetic sequence on which the series is based is an = 12 + (n - 1) * 6
Learn more on explicit rule here: https://brainly.com/question/2059043
49xy +34y - 72z. determine the degree of the polynomial
Answer:
The degree of the polynomial is 2
Step-by-step explanation:
The absolute degree is obtained with the sum of the exponents of all the variables of each term. The terms are the elements of the polynomial with numbers and letters separated by addition or subtraction.
The function g(x) is defined as shown.
x-1, -2
g(x) = 2x+3, -1
6-X, X23
Answer:
B) 3
Step-by-step explanation:
The parts on the right side are to figure out which one to use so since g(3) then you plug in 3 to the equations on the right to see which one is true. The one that it matches into then plug in 3 for x in the equation directly to the left of it:
3 ≥ 3 so 6 - (3) = 3
Consider the system:
y = 3x + 5
y = ax + b
What values for a and b make the system
inconsistent? What values for a and b make the
system consistent and dependent? Explain
Answer:
An exponent value in a would make the system inconsistent because it will either gain or lose height over time.
Any real number without an exponent value will make the system consitent.
Any infintite/repeating number will make the system both consistent and inconsistent. it is consisent because it will stay at a constant rate but also inconsistent because it is repeating and will never end.
Answer:
When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.