Answer:
A) [tex]4x^5-4x^4-16x^2+16x[/tex]
B) [tex]4x^4-4x^3-16x^2+16x[/tex]
Also, maybe that vertically means:
A) [tex]4x^2 \cdot x^3[/tex] and [tex](-4x) \cdot (-4)[/tex]
Resulting in [tex]4x^5+16x[/tex]
B) [tex]x^2 \cdot 4x^2[/tex] and [tex]x \cdot (-8x)[/tex] and [tex]-2 \cdot 0[/tex]
Resulting in [tex]4x^4-8x^2[/tex]
Step-by-step explanation:
It seems that you want to multiply the polynomials in this way: [tex](\text{Polynomial - 1})\cdot(\text{Polynomial - 2})[/tex]
A)
[tex]4x^2-4x[/tex]
[tex]x \cdot x^2 -4[/tex]
[tex](4x^2-4x)(x \cdot x^2 -4)=(4x^2-4x)(x^3 -4)[/tex]
[tex](4x^2-4x)(x^3 -4)\\[/tex]
[tex]4x^5-16x^2-4x^4+16x[/tex]
[tex]4x^5-4x^4-16x^2+16x[/tex]
B)
[tex]x^2+x-2[/tex]
[tex]4x^2-8x[/tex]
[tex](x^2+x-2)(4x^2-8x)[/tex]
[tex]4x^4-8x^3+4x^3-8x^2-8x^2+16x[/tex]
[tex]4x^4-4x^3-16x^2+16x[/tex]
If a b and c are three different numbers which of the following equations has infinitely many solutions
a. ax=bx+c
b. ax+b=ax+c
c. ax+b=ax+b
Answer: c ax + b = ax+ b
Step-by-step explanation: Seems like a trick question, especially since Answer c has no c in the equation. But once you put in numbers for a,b,and c, there cannot be infinite solutions for x in the first two examples.
Set up two or three equations and test them as proof.
What is the expectation for a binomial distribution with p = 0.5 and n = 8?
Answer: 4
Step-by-step explanation:
Given the following :
P = probability of success = 0.5
n = number of trials = 8
The expected value of a binomial distribution with probability of success P and number of trials n is defined by:
E(n, p) = n * p
Therefore, expected value when P = 0.5 and n = 8
E(8, 0.5) = 8 × 0.5
= 4
The expected value of the binomial distribution is 4
What is the measure of a?
Answer:
a=129
Step-by-step explanation:
the angles are complementary which is is 180
51+a=180
a=180-51
a=129
Which of the following exponential functions is represented by the graph? Question 7 options: A) ƒ(x) = (1∕5)x B) ƒ(x) = (1∕5)–x C) ƒ(x) = –5x D) ƒ(x) = 5–x
Answer:
[tex]f(x) = (\frac{1}{5})^{-x}[/tex]
Step-by-step explanation:
Given
The graph above
Required
Determine from the list of options, the function of the graph
To determine the function, we have to test each of the options
But first, we nees to write out the points on the graph
(1,5), (0,1), (-1,1/5) and (-2, 1/25)
A. [tex]f(x) = (\frac{1}{5})^x[/tex]
Point 1: When x = 1, f(x) = 5
[tex]f(x) = (\frac{1}{5})^x[/tex]
[tex]f(1) = (\frac{1}{5})^1[/tex]
[tex]f(1) = (\frac{1}{5})[/tex]
There's no need to check further as the first point doesn't lie on the graph
B. [tex]f(x) = (\frac{1}{5})^{-x}[/tex]
Point 1: When x = 1, f(x) = 5
[tex]f(x) = (\frac{1}{5})^{-x}[/tex]
[tex]f(1) = (\frac{1}{5})^{-1}[/tex]
[tex]f(1) = 1/(\frac{1}{5})[/tex] --- Law of indices
[tex]f(1) = 1*(\frac{5}{1})[/tex]
[tex]f(1) = 1*5[/tex]
[tex]f(1) = 5[/tex]
Point 2: When x = 0, f(x) = 1
[tex]f(0) = (\frac{1}{5})^{-0}[/tex]
[tex]f(0) = (\frac{1}{5})^{0}[/tex]
[tex]f(0) = 1[/tex] --- The expression raise to power 0 is 1
Point 3: When x = -1, x = 1/5
[tex]f(x) = (\frac{1}{5})^{-x}[/tex]
[tex]f(-1) = (\frac{1}{5})^{-(-1)}[/tex]
[tex]f(-1) = (\frac{1}{5})^{1}[/tex] ----- Law of indices
[tex]f(-1) = (\frac{1}{5})[/tex]
Point 4: When x = -2, x = 1/25
[tex]f(x) = (\frac{1}{5})^{-x}[/tex]
[tex]f(-2) = (\frac{1}{5})^{-(-2)}[/tex]
[tex]f(-2) = (\frac{1}{5})^{2}[/tex] ----- Law of indices
[tex]f(-2) = \frac{1}{5} * \frac{1}{5}[/tex]
[tex]f(-2) = \frac{1}{25}[/tex]
There's no need to check other options as this function satisfy the 4 points on the graph;
Hence;
[tex]f(x) = (\frac{1}{5})^{-x}[/tex] is the exponential function represented on the graph
Which of the following sequences is not an arithmetic sequence? 0, -2, -4, -6, ... 1, 5, 9, 13, ... 15, 12, 9, 6, ... -1, -2, -4, -8, ...
Answer:
D. -1,-2,-4,-8
Step-by-step explanation:
An arithmetic sequence means that there is a pattern between the numbers that is constant, that deals with either adding or subtracting.
The last sequence here, is not arithmetic because it is being multiplied by 2 every time.
Please help soon! Will give 5 starts, thanks, and brainliest! Thank you! The hypotenuse of a right triangle measures 6sqrt(2) inches and one angle is 45 degrees. What is the number of square inches in the area of the triangle?
Answer:
Area = 18 sq. inches
Step-by-step explanation:
Hypotenuse = 6√2
as it is a right angled triangle and one of the angles is 45°,
=> the other angle is also 45°.
According to 45°-45°-90° theorem,
the side is 1/√2 times the hypotenuse.
Therefore, side = 6√2 × 1/√2
=6 inches.
Area of triangle = 1/2 × base × height
= 1/2 × 6 × 6
= 1/2 × 36
=18 sq. inches
Why or why not should we use the metric system in the U.S.A?
Make sure this your own opinion. 4 - 5 sentences please
Answer:
We should definitely be using the metric system in the U.S.A, as 94.7% of the world uses this system. The metric system, moreover the newer more polished system is exclusively the only system used in science. People who are unexperienced with the metric system, may encounter difficulties when dealing with real-life businesses and work that is publicly available globally, as if you need to measure a given contrivance, the metric system will be used. When countries follow a similar system to majority of the others, it will help make that country more open and less inclusive, providing a greater and more civil world.
Answer:
The biggest reasons the U.S. hasn’t adopted the metric system are simply time and money. When the Industrial Revolution began in the country, expensive manufacturing plants became a main source of American jobs and consumer products. Because the Imperial System (IS) of measurements was in place at this time, the machinery used in these factories was developed to size in IS units; all of the workers were trained to deal with IS units; and many products were made to feature IS units. Whenever the discussion of switching unit systems arose in Congress, the passage of a bill favoring the metric system was thwarted by big businesses and American citizens who didn’t want to go through the time-consuming and expensive hassle of changing the country’s entire infrastructure. Many also believed that the United States should keep its particular system, setting it apart from other countries and symbolizing its status as a leader rather than a follower.
Step-by-step explanation:
brainlist plz
Please help
calculate the coefficient of x^14y^4 in the expansion of (x+y)^18
which inequality matches the graph?
A) -2x+3y>7
B) 2x-3y<7
C) -3x+2y>7
D) 3x-2y<7
Help ASAP in this picture
Answer:
the first choice
Step-by-step explanation:
0.25= 0.25
2/3= 0.3333333
56%= 0.56
0.25<0.33<0.56
What is x - ( -8) = 1 and what is x - ( -13) = 17?
Answer:
x - ( -8) = 1; x = -7
x - ( -13) = 17; x =
Step-by-step explanation:
x - ( -8) = 1 = x + 8 = 1
x = -7
x - ( -13) = 17 = x + 13 = 17
x = 4
Answer:
see below
Step-by-step explanation:
x - ( -8) = 1
Subtracting a negative is like adding
x+8 =1
Subtract 8 from each side
x+8-8= 1-8
x=-7
x - ( -13) = 17
Subtracting a negative is like adding
x+13 =17
Subtract 13 from each side
x+13-13= 17-13
x=4
Look at the triangle:
What is the value of cos xº? (1 point)
A. 8÷17
B. 17 = 8
C. 15 = 17
D. 8 = 15
Answer:
15/17
Step-by-step explanation:
You can calculate cosine by doing adjacent / hypotenuse so cos x° = 15/17.
Mark scored an 89 on his first
test, an 85 on his second test, a
95 on his third test, and an 83
on his fourth test. If Mark wants
a tens score average of 90, what
must hc score on his fifth exam?
Answer:
98
Step-by-step explanation:
89+85+95+83= 352,
90x5= 450,
450-352= 98
The score on his fifth exam is 98.
To find the score on his fifth exam.
What is average?Number that is calculated by adding quantities together and dividing the total by the number of quantities. Mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given that:
First test=89
Second test=85
Third test=95
Fourth test=83
Average = 90,
so total among up to fourth test=89+85+95+83= 352,
So, 90x5= 450,
Total score=450
Fifth test=450-352= 98
So, the score on his fifth exam is 98.
Learn more about average here:
https://brainly.com/question/17125660
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Match the number with its opposite.
Answer:
3.2 matches with (A) -3.3
-2.3 matches with (C) 2.3
-1.5 matches with (B) 1.5
5.1 matches with (D) -5.1
Of a classroom filled with 20 students, 2 will be selected to stay after school and correct homework for extra credit. How
many combinations are possible?
Answer: 10
Step-by-step explanation:
20/2=10
pairs of two
Answer:
10 pair
Step-by-step explanation:
20/2=10
10 pairs of students staying after school for extra credit
If 20a-16=12(3-a), then a=?
a)5/8
b)13/8
c)21/16
d)5/2
ANSWER: B. 13/8
STEP BY STEP THING:
20a−16=12(3−a)
20a−16=−12a+36
32a−16=36
32a=52
32a/32 = 52/32
a = 13/8
Answer:
13/8 or 1.625
Step-by-step explanation:
1)combine like terms 2)isolate the variable(a) to one side of the equation 3) use multiplicative or division properties x=13/8 or 1.625
What is the volume of the cylinder with a radius of 8 and height of 4
Answer:
Hey there!
The formula for cylinder volume is [tex]r^2h\pi[/tex], where r is the radius, h is the height, and [tex]\pi[/tex] is a constant, roughly equal to 3.14.
Substituting all of these values into the equation:
[tex]8^2(4)(3.14)[/tex]
[tex]804.84\\[/tex]
Thus, the volume for the cylinder is 804.84 units cubed.
Hope this helps :)
Answer:
804.25 [tex]units^{3}[/tex]
Step-by-step explanation:
The formula of the volume of a cylinder is [tex]V=\pi r^{2} h[/tex] where r represents the radius and h represents the height. To find a more exact answer, I usually use pi in my calculator rather than 3.14, unless asked to do so.
[tex]V=\pi (8)^{2} (4)[/tex]
[tex]V=\pi (64)(4)[/tex]
[tex]V=\pi (256)[/tex]
[tex]V=804.25[/tex]
If x2 + 6x + 8 = 0 , then x could equal which of the following?
Answer:
x = -4 , -2
Step-by-step explanation:
I am assuming "x2" is x^2. If the equation is x^2 + 6x + 8 = 0, then you first have to factor the equation x^2 + 6 + 8.
In order to do that, you would have to find the multiples of 1 (from x) and 8.
We can see that 1 * 1 is 1, so that is the only pair that would work for the problem. 4 * 2 is 8, but 8 * 1 is also 8. So, which set of numbers do we have to choose? It's actually really simple. You multiply the first set of numbers (1 and 1) with one of the sets from 8 ( 4 and 2 or 8 and 1). Then when you are finished multiplying them together, you add them together to see if they equal to the number in the middle (6x). So 1(x) * 4 is 4x, and 1(x) * 2 is 2x, and when we add the numbers together, we get 6x, which is the middle number, so therefore, 4 and 2 is the correct set of numbers, not 8 and 1, because if we multiply and add those together, we get 7x, not 6x.
After doing that, you have to put them like this:
(x + 4)(x + 2)
This is so when you multiply them together, you get the starting equation. But we have to solve for x. In order to do that, we have to plug that into the equation we started off with.
(x + 4)(x + 2)=0
Now we have to make x + 4 and x + 2 equal to 0, so x is -4 and -2. There are two correct answers. Hope this helps :)
Answer:
x is -2 and -4
FIRST GETS BRAINLLESTIf you spin the spinner below 80 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on blue 43 times B) Lands on yellow 8 times C) Lands on red 33 times D) Lands on red 62 times
Answer:
A, B, C
Step-by-step explanation:
Answer:
A) Lands on blue 43 times
B) Lands on yellow 8 times
C) Lands on red 33 times
Step-by-step explanation:
Blue is 1/2 of the spinner so theoretically is should be landed on 1/2 of the time which is 40/80 but experimentally, it can differ slightly. Using this same logic, it can be applied to yellow and red. Yellow is 1/8 of the spinner so it should be landed on about 10 out of the 80 times. Red is 3/8 of the spinner so it should be landed on approximately 30 out of 80 times.
A local hamburger shop sold a combined total of 676 hamburgers and cheeseburgers on Thursday. There were 74 fewer cheeseburgers sold than hamburgers.
How many hamburgers were sold on Thursday?
Answer:
Step-by-step explanation:
no of hamburgers sold = 375
The number of hamburgers sold on Thursday was 375 hamburgers.
How to calculate the number of hamburgers sold?Let us use 'A' to represent the number of hamburgers sold on Thursday and 'C' to represent the number of cheeseburgers sold.
Based on the provided information: Total number of hamburgers and cheeseburgers sold is 676: A + C = 676.
And the number of cheeseburgers sold = 74 less than the number of hamburgers, which is C = A - 74.
We shall solve this system of equations to find A.
Putting the value of C from the second equation into the first equation:
A + (A - 74) = 676.
Simplify:
2A - 74 = 676.
Add 74 to both sides:
2A = 750.
Divide both sides by 2:
A = 375.
Hence, 375 hamburgers were sold on Thursday.
Learn more about system of equations at brainly.com/question/25976025
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You have linear functions p(x) and q(x). You know p(2)=3, and p(q(x))=4x+7 for all x. Find q(-1).
Answer:
q(-1)=-2
Step-by-step explanation:
1) flip the equation:
4x+7=-1
2) subtract 7 from both sides:
4x=-8
3) divide both sides by 4:
x=-2
HOPE THIS HELPS!!!! :)
please help will make you brainliest,
make r the subject of m=n+[tex]\sqrt{h^{2} +r^{2}[/tex]
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Hi my lil bunny!
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Take the root of both sides and solve.
[tex]r = \sqrt{( m - n + h ) ( m - n - h)} \\r = \sqrt{( m - n + h ) ( m - n - h)} \\[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
What is the solution of sqrtx^2+49 = x+5?
Answer:
x = 12/5Step-by-step explanation:
√x² + 49 = x + 5
Square both sides
(√x² + 49)² = ( x + 5)²
x² + 49 = x² + 10x + 25
Simplify
10x = 49 - 25
10x = 24
Divide both sides by 10
x = 12/5Hope this helps you
When multiplying or dividing two numbers with opposite signs, the answer will be 1.negative 2.positive
Answer:
Negative when multiplying
and
Negative when dividing
Step-by-step explanation:
Answer:
I hope these help
Multiplication ;[tex] - \times - = + \\ - \times + = - \\ + \times + = + \\ + \times - = - [/tex]Division ;[tex] + \div - = - \\ + \div + = + \\ - \div - = + \\ - \div + = - [/tex]
3x2 +4=0 whats the answer?
Answer:
False
Step-by-step explanation:
3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations
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Hi my lil bunny!
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Lets do this step by step.
Simplify [tex]\frac{3x - 2}{x} -4[/tex].
To write -4 as a fraction with a common denominator, multiply by [tex]\frac{x}{x}[/tex]
[tex]\frac{3x - 2}{x} - 4 . \frac{x}{x} > 0[/tex]
Combine -4 and [tex]\frac{x}{x}[/tex].
[tex]\frac{3x - 2}{x} + \frac{-4x}{x} > 0[/tex]
Combine the numerators over the common denominator.
[tex]\frac{3x - 2 -4x}{x} > 0[/tex]
Subtract 4x from 3x.
[tex]\frac{-x -2}{x} > 0[/tex]
Factor -1 out of -x.
[tex]\frac{-(-x) -2}{x} >0[/tex]
Rewirte -2 as -1 (2).
[tex]\frac{-(x -1 (2)}{x} > 0[/tex]
Factor -1 out of - (x) - 1 (2).
[tex]\frac{-(x + 2)}{x} >0[/tex]
Simplify the Expression.
_______________
Rewrite - ( x + 2 ) as -1 ( x + 2 ) .
[tex]\frac{-1 ( x+ 2)}{x} > 0[/tex]
Move the negative in front of the fraction.
[tex]- \frac{x + 2}{x} > 0[/tex]
Then your going to find all the values where the expression switches from negative to positive by setting each factor equal to 0 and solving.
[tex]x = 0\\x + 2 = 0[/tex]
Subtract 2 from both sides of the equation.
[tex]x = -2[/tex]
Solve for each factor to find the values where the absolute value expression goes from negative to positive.
[tex]x = 0 \\x = -2[/tex]
Consolidate the solutions.
[tex]x = 0, -2[/tex]
________________
Find the domain of [tex]\frac{3x - 2}{x} -4[/tex]
_________________
Set the denominator in [tex]\frac{3x - 2}{x}[/tex] equal to 0 to find where the expression is undefined.
[tex]x = 0[/tex]
The domain is all values of x that make the expression defined.
( - ∞, 0 ) ∪ ( 0 , ∞)
Use each root to create test intervals.
[tex]x < -2 \\-2 < x < 0 \\x > 0[/tex]
|Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.|
Test a value on the interval -2 < x < 0 to see if it makes the inequality true.
Ans : True
Test a value on the interval x > 0 to see if it makes the inequality true.
Ans : False
Test a value on the interval x < -2 to see if it makes the inequality true.
Ans : False
Compare the intervals to determine which ones satisfy the original inequality.
[tex]x < -2 = False\\-2 < x < 0 = True\\x > 0 = False[/tex]
The solution consists of all of the true intervals.
[tex]-2 < x < 0[/tex]
The result can be shown in multiple forms.
Inequality Form: [tex]-2 < x< 0[/tex]
Interval Notation: [tex]( -2 , 0 )[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?
Answer:
5
Step-by-step explanation:
Firstly, I'm not from the USA so I'm not sure if I've understood the question correctly (different phrasing of the question here in the UK), but I hope I've done this right and this helps! :)
Method 1:
I would draw the graph! It makes it easier to visualise. You don't have to do a neat proper graph, just scribble something down. If you then count the number of squares between point A and point B you would get 5.
Method 2:
This is probably a more MATHEMATICAL method, but I think Method 1 or Method 2 are both fine. Since we are only asked about point A and point B, we don't have to think about points C or D. Since this is a rectangle, we know that the line would be straight and would also likely be perpendicular / parallel to the x or y axis. If we compare the coordinates of points A and B, we can see that they both have -6 in them: this shows us that these points are along the same row. So all you have to do is find the difference between the tow other points, i.e. the -8 in A and the -3 in B. -3 minus -8 = 5. So that gives you the length of the side.
I hope this helped, sorry for the lengthy explanation and slightly dodgy vocabulary (?).
Bluey
Answer:
Step-by-step explanation:
You could use distance formula to find the length
A( -8, -6) ; B(-3,-6)
Distance= [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]AB =\sqrt{(-3-[-8])^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(-3+8)^{2}+(-6+6)^{2}}\\\\= \sqrt{(5)^{2}+0}\\\\= \sqrt{5^{2}}\\[/tex]
AB = 5 units
Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
What is the probability that he gets a dark
chocolate?
% (1 d.p.)
solve please 3y^4t^-2/11y^-4
Answer:
[tex] \dfrac{3y^8}{11t^2} [/tex]
Step-by-step explanation:
[tex]\dfrac{3y^4t^{-2}}{11y^{-4}} =[/tex]
[tex] = \dfrac{3y^{4 - (-4)}}{11t^2} [/tex]
[tex] = \dfrac{3y^8}{11t^2} [/tex]
29 If we round to 1 significant figure, sound travels at a speed of approximately 0.3 kilometers per second, while light travels at a speed of approximately 300 000 kilometers per second. 29a Express the speed of sound in kilometers per second in scientific notation.
Answer:
3 x 10^-1 km per second.
Step-by-step explanation:
A scientific notation includes c x 10^n. c is a number between 1-9, and n is the nth power of 10.
If we move the decimal in 0.3 to the right by 1 place, we can get "c", which will be 3. Since we have moved the decimal to the right, each place moved right counts as -1 for n.
So, the answer is 3 x 10^-1 km per second.
10 Points NEED AN ANSWER ASAP PLS SOLVE FOR THE VARIABLE.
1. 2X + 6 = 12
2. 5X - 15 = 3X + 4
Answer:
1. x = 3.
2. x = 9.5.
Step-by-step explanation:
1. 2x + 6 = 12
2x = 6
x = 3.
2. 5x - 15 = 3x + 4
5x - 3x = 4 + 15
2x = 19
x = 9.5.
Hope this helps!
Step-by-step explanation:
1).2x + 6 = 12
Send the constant to the right side of the equation
That's
2x = 12 - 6
2x = 6
Divide both sides by 2
x = 32).5x - 15 = 3x + 4
Group like terms
We have
5x - 3x = 15 + 4
Simplify
2x = 19
Divide both sides by 2
x = 19/2Hope this helps you