3*3*3*3 = 3^4 = 81
x*x*x = x^3
z*z = z^2
3*3*3*3*x*x*x*z*z =
3^4x^3z^2 =
81x^3z^2
Answer:
9xz√x
Step-by-step explanation:
you take two 3's you pair them up you do the two time witch gives you three times three or nine you then pair up the x's giving you 9x and that leaves one x to go on the inside of the sq root symbol then you pair up the z's and because there are only two z's put them together on the outside equaling 9xz√x
What is the product3(x)^5(2x^2+4x+1)
Answer: 6x^7+ 12x^6+ 3x^5
Hope that helped
What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x – 12?
Answer:
-0.8 and 0.75.
Step-by-step explanation:
20x^4 + x^3 + 8x^2 + x – 12 = 0
by the rational roots theorem:-
The leading coefficient is 20 with factors +/- 1,2,4,5,10,20
and the constant is -12 with factors +/- 1,2,3,4,6,12
so there are many possible roots like -1, 2, 3/4 3/5 , -4/5 .....
Drawing a graph would be the quickest way to do this, either manually, using graphical software or a graphical calculator.
I used the latter and got 2 rational roots -0.8 and 0.75.
The rational roots of the polynomial f(x) = 20[tex]x^4[/tex] + [tex]x^3[/tex] + 8[tex]x^2[/tex] + x – 12 is -0.8 and 0.75 and this can be determined by sketching the graph of the given polynomial.
Given :
f(x) = 20[tex]x^4[/tex] + [tex]x^3[/tex] + 8[tex]x^2[/tex] + x – 12
The following steps can be used in order to determine the rational roots of the given polynomial:
Step 1 - Write the polynomial equation.
f(x) = 20[tex]x^4[/tex] + [tex]x^3[/tex] + 8[tex]x^2[/tex] + x – 12
Step 2 - Draw the graph of the above polynomial equation.
Step 3 - The coefficient of [tex]x^4[/tex] is 20 with factors +/- 1,2,4,5,10,20
Step 4 - The constant term of the given polynomial is -12 with factors +/- 1,2,3,4,6,12.
Step 5 - So, from the polynomial equation, the two rational roots are -0.8 and 0.75.
For more information, refer to the link given below:
https://brainly.com/question/3655826
What’s the Answer because I don’t understand it
Answer:
5x^2 - 13x + 6
Step-by-step explanation:
(8x^2 - 6x + 2) - (3x^2 + 7x - 4) =
First, drop the first set of parentheses because they are unnecessary.
= 8x^2 - 6x + 2 - (3x^2 + 7x - 4)
Now, distribute the minus sign to the left of the set of parentheses. Think of that negative sign as -1 multiplied by the parentheses. You change every sign inside the parentheses.
= 8x^2 - 6x + 2 - 3x^2 - 7x + 4
Next, group like terms together.
= 8x^2 - 3x^2 - 6x - 7x + 2 + 4
Finally, combine like terms.
= 5x^2 - 13x + 6
Tasty Treats Baking Company asked all students in the senior class at Ridgemont High School the question, “Do you prefer chocolate or butterscotch Tasty Treats?” Everyone surveyed had to pick one of the two answers, and 42%, percent said they preferred chocolate.
Based on this data, which of the following conclusions are valid?
Choose 1 answer:
(Choice A)
A
42%, percent of all students at Ridgemont High prefer chocolate.
(Choice B)
B
42%, percent of all students in the senior class at Ridgemont High prefer chocolate.
(Choice C)
C
42%, percent of the male students in the senior class at Ridgemont High prefer chocolate, but we cannot conclude anything about the population.
Answer: B
Step-by-step explanation:
Answer a is incorrect because only the seniors were questioned and answer c is incorrect because nothing was mentioned in the question about only testing males.
Your answer is B
Answer:
b
Step-by-step explanation:
was on khan academy <3
Write in slope intercept form an equation of the line that passes through the given points
(-2,6),(4,12)
Answer:
The desired equation is y = x + 8.
Step-by-step explanation:
As we move right from (-2,6) to (4,12), x increases by 6 and y also increases by 6. Thus, the slope, m, m = rise / run, is m = 6/6, or just m = 1.
Start with the slope intercept form y = mx + b. Since m = 1, we now have y = x + b. Subbing 4 for x, 12 for y, we can find b: 12 = 4 + b. Thus, b = 8.
The desired equation is y = x + 8.
Answer:
The answer to your question is y=1x+8
Step-by-step explanation: We already know that the slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substitute the values to find the slope
m= 12-6/4-(-2)
m= 6/4+2
m= 6/6
m=1, so, therefore, the slope is 1
And the y-intercept would be 8
Hope this helps and Please mark my answer as the brainliest
help with this please
Answer:
140
Step-by-step explanation:
this is because of alternate suplementry lines
if g(x)= square root x-2-3 what is the range of g(x)? A.(0,♾) B. (-1,♾) C. [-2,♾) D. [-3,♾)
Answer:
D
Step-by-step explanation:
g(x) = √(x - 2) - 3
The range is all the possible values of g(x). Since we can't take the square root of a negative number, the lowest that g(x) can be is:
g(x) = √0 - 3
g(x) = -3
The highest that g(x) can be is:
g(x) = √∞ - 3
g(x) = ∞
So the range is:
[-3, ∞)
Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separated by commas.
Answer:
[tex]\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}[/tex]
Step-by-step explanation:
[tex]Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}[/tex]
[tex]\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac<0,\ \text{then the equation has no solution}\\\\\text{if}\ b^2-4ac=0,\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{if}\ b^2-4ac>0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16<0\\\\\bold{NO\ REAL\ SOLUTIONS}[/tex]
[tex]\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i[/tex]
[tex] \frac{c}{c - 5} = \frac{4}{c - 4} [/tex]
[tex](c - 5)(c - 4) \times \frac{c}{c - 5} = \frac{4}{c - 4} \times (c - 5)(c - 4)[/tex]
[tex](c - 4) \times c = 4(c - 5)[/tex]
With c≠4, 5
[tex] {c}^{2} - 4c = 4c - 20[/tex]
[tex] {c}^{2} - 8c + 20 = 0[/tex]
[tex]c = \frac{2 - + \sqrt{2 - 20} }{2} [/tex]
But 2-20 is negative, therefore there isn't any real solution to this equation.
Solve the following equation. Then place the correct number in the box provided. x/6=3
Answer:
x=18
Step-by-step explanation:
if x/6=3, the you can use the mulitplication property of equations to solve. so multiply each side by 6. it will eliminate the fraction on the left side of the equal side, leaving you with x and then 6x3=18, therefore
x=18
Answer:
x = 18
Step-by-step explanation:
Multiply 6 on both sides.
x = 18
what is the solution to this equation 3x +17 + 5x = 7x + 10
Answer: x= -7/11
Step-by-step explanation:
13x+17+5x=7x+10
collect the like terms by adding their coefficients
18x+17=7x+10
move variable to the left side and change its sign
18x-7x+17=10
move constant to the right side and change its sign
18x-7x=10-17
collect the like terms
11x=10-17
calculate the difference
11x= -7
divide both sides by 11
x= -7/11
The solution to this equation 3x +17 + 5x = 7x + 10 is x = -7
The solution to this equation 3x +17 + 5x = 7x + 10
Given equation is:
3x +17 + 5x = 7x + 10
To find the value of x, combine the like terms by adding or subtraction.
3x + 5x - 7x = 10 - 17
x = - 7
Therefore, x = -7 is the solution to this equation 3x +17 + 5x = 7x + 10
Learn more about simplification here:
https://brainly.com/question/31711246
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select 3 answers please and thank you!
Answer: A, B & D
I hope this helps answer helps you out! :3
I need help solving this and getting the right answer. I got the answers 3.7854 changed to 3.79, and another answer which is 3.7878
Answer:
Step-by-step explanation:
I wonder if it wants 3.80 per gallon?
Perhaps the imperial value which would have been 4.50 per gallon which is an imperial gallon (used in Canada). It's hard to tell. I would have thought 3.78 should be more than close enough.
Answer:
$3.79/$4.55
Step-by-step explanation:
1. How many liters in a gallon: 3.79 l (US), 4.55 l (Imp)
2. Cost of gas/gallon: 3.79 liter * $1/liter = $3.79 (US), $4.55 (Imp)
From what you say, using the US gallon, since both answers round to the same number (since there is no currency below the cent), it wouldn't matter too much. Also, unit conversions should not lead to different answers.
A merchant wants to blend 80 pounds of cacao worth $9.00 a pound from two kinds: one at $11.40 a pound and the other at $7.80 a pound. How many pounds of each kind should he mix?
Answer:
11.4 mixture:26 and 2/3
7.8 mixture: 53 and 1/3
Step-by-step explanation: Sorry if this is hard to underestand. This is my first answer. This is a RSM question that has been checked.
11.4+7.8=9
x+80-x=80
Multiply
11.4x+624-7.8x=720
3.6x=96
1.2=32
0.6x=16
6x=160
x=26 2/3
80-26 2/3= 53 1.3
Answer:
53 1/3 for $7.80, and 26 2/3 for $11.40
Step-by-step explanation:
x*11.4=11.4x
(80-x)*7.8=624-7.8
9*80=720
Those three steps are because he wants to make 80 pounds out of $9, $11.40 for a pound, and then a pound for $7.80. Since the total is 80 pounds, it could be 11.4 for x pounds and 7.8 for 80-x pounds. Then the equation is:
11.4x+624-7.8x=720
Simplify:
3.6x=96
Times both times by 10:
36x=960
x=26 2/3
80-x=53 1/3
Solve by factoring: x^2- 8x- 20 =0
Answer:
x = -2 or x = 10Step-by-step explanation:
[tex]x^2-8x-20=0\\\\x^2+2x-10x-20=0\\\\x(x+2)-10(x+2)=0\\\\(x+2)(x-10)=0\iff x+2=0\ \vee\ x-10=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\\boxed{x=-2}\\\\x-10=0\qquad\text{add 10 to both sides}\\\boxed{x=10}[/tex]
A spinner is divded into two equally sized sections. The sections are labeled STOP and GO. S represents STOP and G represents GO. The spinner is spun twice.
What is the sample space???
Answer:
The sample space is SG,GG,SS,GS. I know this because the sample space is the set of all possible outcomes of an experiment.
Hope this helped!
The sample space when the spinner that's divided into two sections is spun twice is; {SG, GG, SS, GS}
We are given that the sections are labeled STOP and GO.
Now the spinner is divided into two equally sized sections as S and G.
Now, if the spinner is spun twice, we could get the following results;
SG, SS, GS, GG.
Thus, the sample space is given by the total possible outcome of the spin which is;
{SG, SS, GS, GG}
Read more at; https://brainly.com/question/3560578
An airplane can travel 325 mph in still air. If it travels 1360 miles with the wind in the same length of time it travels 1240 miles against the wind, what is the speed of the wind? Set up an equation and solve it.
The answer is:
The speed of the wind is 150mph.
Why?To calculate the speed of the wind, we need to write two equations using the given information about the speed when the airplane was traveling with the wind and against the wind, considering that it travel the same length of time.
So, writing the equations, we have:
Traveling with the wind:
We know that the speed of the airplane is 325 mph and it travels 1360 miles with the wind, so, for the equation, we have:
[tex]distance=(AirplaneSpeed+WindSpeed)*t[/tex]
[tex]1360miles=(325mph+WindSpeed)*t[/tex]
[tex]t=\frac{1360miles}{325mph+WindSpeed}[/tex]
Traveling against the wind:
We know that the speed of the airplane is 325 mph and it travels 1240 miles with the wind, so, for the equation, we have:
[tex]distance=(AirplaneSpeed-WindSpeed)*t[/tex]
[tex]1240miles=(325mph-WindSpeed)*t[/tex]
[tex]t=\frac{1240miles}{325mph-WindSpeed}[/tex]
Then, making making equal the time, we have:
[tex]\frac{1360miles}{325mph+WindSpeed}=\frac{1240miles}{325mph-WindSpeed}[/tex]
[tex]\frac{1360miles}{325mph+WindSpeed}=\frac{1240miles}{325mph-WindSpeed}\\\\(1360miles)*(325mph-WindSpeed)=(1240miles)*(325mph+WindSpeed)\\\\442000miles.mph-1360miles*WindSpeed=403000miles.mph+1240miles*WindSpeed\\\\442000miles.mph-403000miles.mph=1240miles*WindSpeed+1360miles*WindSpeed\\\\39000miles.mph=2600miles*Windspeed\\\\WindSpeed=\frac{39000miles.mph}{2600miles}=150mph[/tex]
Hence, we have that the speed of the wind is 150mph.
Have a nice day!
X3+6x2-4x-24 factor completely
Answer:
[tex]{x}^{3} - 4x - 12[/tex]
Step-by-step explanation:
[tex] {x}^{3} + 6 \times 2 - 4x - 24[/tex]
[tex] = {x}^{3} + 12 - 4x - 24[/tex]
[tex] = {x}^{3} - 4x + 12 - 24[/tex]
[tex] = {x}^{3} - 4x - 12[/tex]
Todd is attempting to predict how much money his furniture company will
make based on the amount raw materials the company currently has at its
disposal. The average profit from the sale of 1 piece of furniture can be
expressed as X+4 and the average number of pieces of furniture that can be
made using the current supply of raw materials can be expressed as X - 4.
What polynomial function can Todd use to calculate the average profit?
Answer:
D
Step-by-step explanation:
The average profit from the sale of 1 piece of furniture = x+4
The average number of pieces of furniture that can be made using the current supply of raw materials = x - 4
The average profit = The average profit from the sale of 1 piece × The average number of pices that can be made
Hence,
[tex]F(x)=(x+4)(x-4)[/tex]
Use the difference of squares formula:
[tex]F(x)=x^2-4^2\\ \\F(x)=x^2-16[/tex]
Find the equation of the line passing through (2,-1) and parallel to the line 2x-y=4
Answer:
y = 2x - 5
Step-by-step explanation:
The equation has to have the same slope -- in this case, it is 2 -- to be parallel to 2x - y = 4.
Now we have y = 2x - k.
Then, we plug in the coordinates to our new equation to solve for k.
-1 = 2(2)-k
-1 = 4-k
k = 5
So the final equation would be y = 2x - 5
Solve x2 + 1/2x +1/16=4/9
Answer:
x = 0.417 or x = -0.917
Step-by-step explanation:
We are given the following expression and we are to solve it for the variable x:
[tex] x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 } [/tex]
We will find the least common multiple of 2. 6 and 9:
[tex]x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144[/tex]
Simplifying it to get:
[tex]144x^2+72x+9=64[/tex]
[tex]144x^2+72x+9-64=0[/tex]
[tex]144x^2+72x-55=0[/tex]
Using the quadratic formula to solve for x:
[tex]x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}[/tex]
[tex]x=\frac{5}{12}[/tex] or [tex]0.417[/tex]
[tex]x=-\frac{11}{12}[/tex] or [tex]-0.917[/tex]
PLZ HELP 35 POINTS RIGHT NOW PLZZZZ
Answer:
a) exactly one triangle
Step-by-step explanation:
two sides and a non included angle is given
Geraldo has 3 fewer marbles then yan. Together, they have 21 marbles. Which represents this situation ?
Answer:
Step-by-step explanation:
X = number of Yan's marbles. x-3 = number of Geraldo's marbles
annswer: x + (x - 3) = 21
hopes this helps :)
Answer:
Yan has 12 marbles and Geraldo has 9
Step-by-step explanation:
Because 12 + 9 =21 and 9 is 3 less than 12.
Match the graph with the correct answer ! Help please
Answer:
I can't see the graph
Step-by-step explanation:
Answer:
y-3=(x+5)
Step-by-step explanation:
how i got that was i made my own graph but looks like yours and thats how i got the answer...
a triangle has two sides of lengths 6 and 9 what value could the length of the third side be?
Answer:
6.70
Step-by-step explanation:
6^2 = 36
9^2 = 81
81-36 = 45
square root 45 = 6.708203932
Answer: 10.8
so formula for this is a^2 x b^2=c^2
Step-by-step explanation:
6^2 is 36
9^2 is 81
36+81 is 117
117 squared is 10.8
help me with this please
the answer to this question is 110°
Which of these numbers is between 7 and 9?
A. √8
B. √79
C. 3√64
Answer:
8
Step-by-step explanation:
A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. The student writes the proportion:
4/6=24/16
Explain the error in the student’s work.
The key to solve this problem is using ratios and proportions.
Ratio is the relationship between two numbers, defined as the quotient of one number for the other. So: The ratio between two numbers a and b is the fraction a/b and it is read a to b. This reason can also be written a : b.
Given two reasons a/b and c/d we say that they are in proportion if a/b = c/d. The terms a and d are called extremes while b and c are the means. In every proportion the product of the extremes is equal to the product of the means: a.d = b.c
A student uses the ratio of 4 oranges to 6 fluid ounces of juice to find the numbers of oranges needed to make 24 fluid ounces of juice.
The ratio of 4 oranges to 6 fluid ounces of juice is 4/6.
The ratio of x oranges to 24 fluid ounces of juice is x/24
Writing the proportion
4/6 = x/24
Clear x to obtain the oranges needed
x = (4)(24)/6 = 96/6 = 16
Then, the proportion is:
[tex]\frac{4}{6} = \frac{16}{24}[/tex]
The error in the student's work was that they reversed the reason, 24/16 instead of 16/24.
The student's error is in setting up the proportion and not cross multiplying correctly. The correct proportion is 4/6 = x/24. By cross multiplying and solving for x, we find that 16 oranges are needed to make 24 fluid ounces of juice.
Explanation:The error in the student's work is in setting up the proportion. The correct proportion should be:
4/6 = x/24
To find the number of oranges needed to make 24 fluid ounces of juice, we can cross multiply and solve for x.
Cross Multiplying: 4 * 24 = 6 * x
Simplifying the equation: 96 = 6x
Dividing both sides by 6, we find x = 16.
Therefore, the correct answer is that 16 oranges are needed to make 24 fluid ounces of juice.
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(2x - 3y)(4x - y) can you help me
Answer:
(2x - 3y)(4x - y) = 8x² - 14xy + 3y²Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
(2x - 3y)(4x - y) = (2x)(4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)
= 8x² - 2xy - 12xy + 3y²
combine like terms
= 8x² + (-2xy - 12xy) + 3y² = 8x² - 14xy + 3y²
You must FOIL (first, outside, inside, last)
First (The first number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
[tex]8x^{2}[/tex]
Outside (The outside number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
-2xy
Inside (The inside number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
-12xy
Last (The last number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
[tex]3y^{2}[/tex]
Now add/subtract each FOIL answer according to its sign
[tex]8x^{2}[/tex] - 2xy - 12xy + [tex]3y^{2}[/tex]
Combine like terms
[tex]8x^{2}[/tex] + [tex]3y^{2}[/tex] - 14xy
Hope this helped!
~Just a girl in love with Shawn Mendes
What is the answer to this equation 6s-8=10
S=3 because (6x3)-8=10
Yay!
Answer:
The answer is 3
Step-by-step explanation:
*The goal is to get the s by itself.
6s-8=10
Add 8 to both sides to undo the operation(subtraction)
6s-8+8=10+8
Now we have:
6s=18
Divide by 6 to undo the multiplication between the 6 and s.
6s÷6=18÷6
s=3
hope this helps :)
The dot plot below shows the number of toys 21 shops sold in an hour:
Dot plot labeled Number of Toys Sold shows 6 dots over 0, 4 dots over 1, 3 dots over 2, 3 dots over 3, 2 dot over 4 and 3 dots over 9
Is the median or the mean a better center for this data and why?
A. Median; because the data is not symmetric and there are outliers
B. Median; because the data is symmetric and there are no outliers
C. Mean; because the data is symmetric and there are no outliers
D. Mean; because the data is skewed and there are outliers
Answer:
D.Mean; because the data is skewed and there are outliers
Step-by-step explanation:
The plot does not have an even display of dots and there is outliers, or boarders
Answer:
D
Step-by-step explanation: