Answer:
a. x^2 - 1
b. x^2 - 6x + 9
c. [tex]\dfrac{3x + 1}{x^2 + x}[/tex]
Step-by-step explanation:
a.
(x + 1)(x - 1) =
= x^2 - x + x - 1
= x^2 - 1
b.
(x - 3)^2 =
= (x - 3)(x - 3)
= x^2 - 3x - 3x + 9
= x^2 - 6x + 9
c.
[tex] \dfrac{3 + \frac{1}{x}}{1 + x} = [/tex]
[tex] = \dfrac{x(3 + \frac{1}{x})}{x(1 + x)} [/tex]
[tex] = \dfrac{3x + 1}{x + x^2} [/tex]
[tex] = \dfrac{3x + 1}{x^2 + x} [/tex]
Identify the sentence that does not belong with the other three. Explain. x+12=12+x, 7h=h.7, 1+a=a+1, (2j)k=2(jk)
Answer:
is 764
Step-by-step explanation:
beacuse it has 764 and i dont konw the rest
A television is reduced in a sale by 20%. The sale price of the TV is $328, what was the original price of the TV?
$ 410
Step-by-step explanation:hi there !
80% ................. $328
100% .................$ x
x = 100×328/80
= 32800/80
= $ 410
Good luck !
__ = 4
22 8
Anybody know???
Determine if the two fraction are equivalent, 65/4, 13/2
Answer:
The fractions are not equivalent. If you cross multiply 65 x 2 = 130 and 4 x 13 = 52. 130 > 52. Set them as a proportion. [tex]\frac{65}{4} = \frac{13}{2}[/tex]
They are not equal.
For 65/4 you cannot divide it by 2 and then get 13/2. You would get 32.5/2.
32.5/2 is not equal to 13/2
hope this helps :)
What products are defined for these matrices?
Drag the operation to the boxes to correctly complete the table.
Answer:
Product is defined [tex]{}[/tex]
(ML, MP, NM, PQ, PL, LP, MQ, LQ)
Product is not defined
(LM, PM, MN, QP, QM, NQ, QN, NL, LN, NP, PN, QL)
Step-by-step explanation:
During multiplication of matrices, the number of columns of the first matrix must be equal to the number of rows of the second matrix it is multiplying.
Therefore, we can only multiply a m×n matrix to a n×c matrix as follows;
We can only multiply (m×n)·(n×c) → Product is defined
We can not multiply (n×c)·(m×n) →∞ Product is not defined.
Suppose a basketball player has made 291 out of 389 free throws. If the player makes the next 2 free throws, I will pay you $38. Otherwise you pay me $50. Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
The expected value of the proposition is -$0.76.
Step-by-step explanation:
It is provided that a basketball player has made 291 out of 389 free throws.
Then rate of him making a free throw is,
[tex]P(\text{free throw})=\frac{291}{389}=0.7481[/tex]
The probability that he makes the next 2 free throws is:
[tex]P(\text{Next 2 free throws})=(0.7481)^{2}=0.5596[/tex]
The payout rules are:
If the player makes the next 2 free throws, I will pay you $38. Otherwise you pay me $50.Compute the expected value of the proposition as follows:
Expected value = $38 × P (Makes both) + (-$50) × P (Misses both)
[tex]=($38\times 0.5596)+(-$50\times (1-0.5596))\\=21.2648-22.02\\=-0.7552\\\approx -$0.76[/tex]
Thus, the expected value of the proposition is -$0.76.
What integer represents the total charge of 7 electrons?
the integer that represents the total charge of 7 electrons is -1.The total charge of electrons is given by the formula:
total charge = number of electrons x charge of each electron
what are electrons ?
Electrons are subatomic particles that carry a negative electric charge. They are one of the fundamental particles that make up atoms, along with protons and neutrons. Electrons are found in shells or energy levels that surround the atomic nucleus
In the given question,
The total charge of electrons is given by the formula:
total charge = number of electrons x charge of each electron
The charge of an electron is a fundamental constant, which is equal to -1.602 x 10⁻¹⁹ Coulombs. Therefore, the total charge of 7 electrons can be calculated as:
total charge = 7 x (-1.602 x 10⁻¹⁹) C
total charge = -1.1214 x 10⁻¹⁸ C
Note that the charge of an electron is negative because it has an opposite charge to the positively charged protons in an atom. Therefore, the total charge of 7 electrons is also negative. To express this charge as an integer, we need to convert it to scientific notation and round to the nearest whole number. Rounding to the nearest whole number gives:
total charge = -1 x 10⁻¹⁸ C
Therefore, the integer that represents the total charge of 7 electrons is -1.
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HELLLLPPPPP!!!! DUE TODAY
Match each statement (term) with its value in relation to 0 (definition).
Match
Term
Definition
A building is 38 feet tall.
A) -8.3
B)-27
The scuba diver was 38 feet below
sea level.
C) 2.7
The basement is 8.3 feet below
ground.
Oliver owes his sister $27.
D) 38
Erica jumped 2.7 feet above ground. E) -38
Answer:
it is in this order
Step-by-step explanation:
D E A B C your welcome! and good luck
David watches Maria and Alma race electric trains around a track. Maria's train goes around the track in 10 seconds. Alma's train goes around the track in 12 seconds.
How long will it take for both trains to cross the finish line together the first time?
A
30 seconds
B
60 seconds
C
72 seconds
D
120 seconds
Answer:
60 seconds.
Step-by-step explanation:
We have been given that Maria train can go around the track in 10 seconds. Alma train can go around the track in 12 seconds.
To find the number of seconds after which both trains will cross the finish line together the first time we will find LCM of 10 and 12. LCM will give us the smallest positive integer that is divisible by both 10 and 12.
Multiples of 10 are: 10, 20, 30, 40, 50, 60, 70,...
Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,..
We can see that least common multiple of 10 and 12 is 60, therefore, it will take 60 seconds for both trains to cross the finish line together the first time.
I'm confused on this problem 2/3x-1=5
Answer:
x=9
Step-by-step explanation:
2/3x-1=5
Add 1 to each side
2/3x-1+1= 5+1
2/3x = 6
Multiply each side by 3/2
2/3x*3/2 = 6*3/2
x = 9
Answer:
x=9
Step-by-step explanation:
You add one to both sides, multiply 3 to both sides (to further isolate x), and then divide by 2 on both sides. When you substitute back in, both sides of the equation are equal to each other.
find the smallest number by which 339 must be multiplied so that the product is a perfect cube. also find the cube root of the perfect cube so obtained
Answer:
The smallest number is 114921 and the cube root of the result is 339
Step-by-step explanation:
The number 339 can be factored as:
339 = 3 * 113
Both factors are prime, thus to produce a perfect cube, we must multiply by each factor to the power of 2, that is:
3^2*113^2=114921
When we multiply 339 by 114921 we get 38958219, a perfect cube which cube root is 339.
Thus, the smallest number is 114921 and the cube root of the result is 339
8+6x-5x+2+2x=12 whats x ?
Answer:
The answer is 1
Step-by-step explanation:
combine like terms!
[tex]8+6x-5x+2+2x=12\\8+2+6x-5x+2x=12\\10+6x-5x+2x=12\\10+x+2x=12\\10+2x=12\\2x=2\\x=1[/tex]
hope this helps!!
Solve:
-x/6 + 3 =8
2/7(x) = 10
-10x = -100
Answer:
-x/6 + 3 =8
x = -30
2/7(x) = 10
x = 35
-10x = -100
x = 10
7d Ꮞd - 3d = Ꮞ0
Pleasee✌
Answer:
it is 5
Step-by-step explanation:
7d+4d-3d=40
7d+1d=40
8d=40
40/8=x
x=5
if it was addition
Why is it better to use the metric system, rather than the English system, in scientific measurement?
The English system uses one unit for each category of measurement.
The metric system uses one unit for each category of measurement.
The English system uses consistent fractions that are multiples of 10.
The metric system utilizes a variety of number conversions.
Answer:
b
Step-by-step explanation:
It is better to use the metric system, rather than the English system, in scientific measurement because,
The metric system uses one unit for each category of measurement.
What is a metric system?A system of measurements is called the metric system. It is employed in calculations and research across the globe.
Measurements for length include millimeters (mm), decimeters (dm), centimeters (cm), meters (m), and kilometers (km).
A foot equals 30.48 cm, however, a popular 30 cm rule measures every 1 cm, therefore the metric system also provides more exact measurements.
The English system is in fact based on the metric system because they look for reference materials to get the measurements.
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Write the equation in standard form. x + y = 6y
[tex]x + y = 6y[/tex]
Subtract the sides of the equation minus 6y
[tex]x + y - 6y = 0[/tex]
[tex]x - 5y = 0[/tex]
[tex] - 5y + x = 0[/tex]
[tex]a = - 5[/tex]
[tex]b = 1[/tex]
[tex]c = 0[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
9(m +5) - 3(m - 2) = 8m + 31
Answer:
m=10
Step-by-step explanation:
Answer:
m=10
Step-by-step explanation:
9(m+5)−3(m−2)=8m+31
Step 1: Simplify both sides of the equation.
9(m+5)−3(m−2)=8m+31
9m+45+−3m+6=8m+31
(9m+−3m)+(45+6)=8m+31(Combine Like Terms)
6m+51=8m+31
Step 2: Subtract 8m from both sides.
6m+51−8m=8m+31−8m
−2m+51=31
Step 3: Subtract 51 from both sides.
−2m+51−51=31−51
−2m=−20
Step 4: Divide both sides by -2.
m=10
Hope this helps girly!!
Convert 3,200,000 to scientific notation.
3.2 ⋅ 106
3.2 ⋅ 105
3.2 ⋅ 10−6
3.2 ⋅ 10−5
Find the median for the following data set: 11, 13, 17, 11, 10, 15, 11, 12, 13, 15
O 125
O 12
O 13
O 13.5
Answer:
A, 12.5
Putting them in order was this:
10, 11, 11, 11, 12, 13, 13, 15, 15, 17
and the median is between 12 and 13, which is 12.5
(Hope that helps you. ^^)
There are 4 white and 8 red roses in a bouquet. Find the ratios.
1b). The ratio of the numbers of red roses to the number of all roses
Answer:
1a) 1:2
1b) 2:3
Step-by-step explanation:
1a) 4:8 = 1:2
1b) 4 white and 8 red means 12 total so ratio for red would be 2:3
Answer:
1 ÷ 22 ÷ 3Step-by-step explanation:
Given4 white and 8 red rosesTo findRatios of rosesSolutionRatio of white roses to red roses
4 ÷ 8 = 1 ÷ 2Ratio of red to all
Sum of roses
4 + 8 = 12Ratio
8 ÷ 12 =2 ÷ 3Which number is a multiple of 9?
A:109
B:3
C:27
D:89
Answer:C
Step-by-step explanation:
9 x 3 = 27
In which quadrant or on which axis would you find the point
( 2, 7 )
Answer:
The answer is Quadrant 1
When the transformation (x,y) → (x + 10, y + 5) is
performed on point A, its image, point A', is on the origin
What are the coordinates of A? Justify your answer.
Answer:
its 3.05
Step-by-step explanation:
The coordinates of A will be at (-10, -5) when the transformation (x,y) → (x + 10, y + 5) is performed on point A.
Given the coordinate of the resulting image after the transformation is A'(0, 0). We need to get the coordinate of the original image A.
Since the transformation (x,y) → (x + 10, y + 5) is performed on A.
A = (0 - 10, 0 - 5)
If we are going from the pre-image to the image, we will translate to the left and downwards
A = (-10, -5)
Hence the coordinates of A will be at (-10, -5)
Learn more here:
help me, please cause I'm stuck
Answer:4.03 x 10^4
Step-by-step explanation:
HELP PLZ RN<3
which graph displays a rate of change of 2.5?
Answer:
The second graph.
Step-by-step explanation:
The first graph has a negative slope, so that can't be the right answer.
The last graph isn't steep enough to show a rate of 2.5.
This leaves us with the middle graph which is correct.
Christopher was out at a restaurant for dinner when the bill came. To find the total plus tip he multiplied the cost of the meal by 1.22. what percent tip did he leave?
Answer:
75%
Step-by-step explanation:
Gregoria borrowed $2,450, to be paid back at 3.5% simple interest. She spent $3221.75 in all to repay the loan. How many years did Georgia take to repay the loan?
Answer: 9 years
Step-by-step explanation:
Simple interest = PRT/100
where
P = principal = $2450
R = rate = 3.5%
T = time = unknown
Interest = $3221.75 - $2450 = $771.75
Simple interest = PRT/100
$771.5 = ($2450 × 3.5 × T)/100
$771.5 = $8575T/100
8575T = 771.5 × 100
8575T = 77150
T = 77150/8575
Time = 8.99 years = 9 years
solve -8(n+5)=-44-8n
Answer:
there are no solutions
Step-by-step explanation:
HERE ARE THE STEPS IN CASE U NEED EM :)
Step 1: Simplify both sides of the equation.
−8(n+5)=−44−8n
(−8)(n)+(−8)(5)=−44+−8n(Distribute)
−8n+−40=−44+−8n
−8n−40=−8n−44
Step 2: Add 8n to both sides.
−8n−40+8n=−8n−44+8n
−40=−44
Step 3: Add 40 to both sides.
−40+40=−44+40
0=−4
(pls i need help fast i know nothing about football )The Red team score the following number of points in their last 5 games, 36 points, 30 points, 24 points, 12 points, and 18 points.
What is the mean (average) number of points they scored each game.
a
32 points
b
30 points
c
24 points
d
18 points
Answer:
c
Step-by-step explanation:
You add up all of the points and divide by 5.