Answers
Answer:
1) [tex]\boxed{Option \ 3}[/tex]
2) [tex]\boxed{Option \ 2}[/tex]
Step-by-step explanation:
A) [tex]x^2-5x+6[/tex]
Using mid term break formula
[tex]x^2-6x+x-6\\x(x-6)+1(x-6)\\Taking \ (x+6) \ as \ common\\(x-6)(x+1)[/tex]
B) [tex]\frac{-20p^{-5}qr^6}{16p^{-2}q^{-3}r^4}[/tex]
Solving it using the two rules: => [tex]\frac{a^m}{a^n} = a^{m-n} \ and \ a^m * a^n = a^{m+n}[/tex]
=> [tex]\frac{-5p^{-3}q^4r^2}{4}[/tex]
We need to put p in the denominator to cancel its negative sign
=> [tex]\frac{-5q^4r^2}{4p^3}[/tex]
Answer:
C and b
Step-by-step explanation:
First question:
The polynomial expression we want to factor is x^2-5x-6
Let's calculate the discriminant to find the roots. The discrminant is b^2-4ac
● b= -5
● a = 1
● c = -6
b^2-4ac= (-5)^2-4*1*(-6) = 25+24 = 49>0
So this polynomial expression has two roots since the discriminant is positive
Let x" and x' be the roots:
● x'= (-b-7)/2a = (5-7)/2= -1
● x"= (-b+7)/2a = (5+7)/2 =6
7 is the root square of the discrminant
The factorization of this pulynomial is:
● a(x - x') (x-x")
● 1*(x-(-1)) (x-6)
● (x+1)(x-6)
So the right answer is c
■■■■■■■■■■■■■■■■■■■■■■■■
Second question:
The expression is: (-20*p^(-5)*q*r^(6))/(16*p^(-2)*q^(-3)*r^3)
To make it easier we will simplify the similar terms one by one.
● Constant terms
-20/16 = (-5*4)/(4*4) = -5/4
● terms containing p
-p^(-5)/p^(-2) = p^(-5-(-2)) = p^(-3) =1/p^3
● terms containg q
q/q^(-3)= q(1-(-3)) = q^4
● terms containg r
r^6/r^4 = r^(6-4) = r^2
Multiply all terms together:
● -5/4 *1/p^3 *q^4 *r^2
● (-5*q^4*r^2)/(4p^3)
The right answer is b
Related Questions
Mr. Kennedy raise beef cattle the stock tank near the windmill has a diameter of 3 m what it is for the water is 1.5 m deep how many cubic meters of water are in the stock tank when it is full use 3.14 for pi
Answers
Answer:
10.6
Step-by-step explanation:
radius = 1.5 height = 1.5 so it's 10.6
Answer:
10.6
Step-by-step explanation:
For f(x) = 2x + 1 and g(x) = x2 – 7, find (f – g)(x).
Answers
Answer:
-x^2 +2x +8
Step-by-step explanation:
f(x) = 2x + 1
g(x) = x^2 – 7,
(f – g)(x) = 2x +1 - ( x^2 -7)
Distribute the minus sign
= 2x+1 - x^2 +7
Combine like terms
= -x^2 +2x +8
Answer:
its not true. Answer is (f + g)(x) = x2 + 2x - 6
Step-by-step explanation:
Trust me. Good luck.
PLEASE HELP!!!!!Using the following image, solve for the trigonometry ratios of ∠D and ∠F.
Answers
Answer:
Here we have a triangle rectangle, where the length of one of the cathetus is: 15 (the one at the top)
And the length of the other cathetus is 8 units (i think, i can not see well the image)
Now, if we want to find the angle D.
In this case, the adjacent cathetus is the one of 15 units, and the opposite cathetus is the one of 8 units.
Then we can use the relation:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
So:
Tg(D) = 8/15
D = ATg(8/15) = 28.1°
Now, for the angle F, the adjacent cathetus is the one of 8 units, and the opposite cathetus is the one of 15 units:
F = ATg(15/8) = 61.9°
Answer:
x= 17
Next, find the trigonometry ratios of ∠D.
sin∠D= 8/17
cos∠D= 15/17
tan∠D= 8/15
Finally, find the trigonometry ratios of ∠F.
sin∠F=15/17
cos∠F= 8/17
tan∠F=15/8
Brenda has three times more quarters
than Lisa has. Brenda gives 20% of her
quarters to Lisa, but she still has $1
more. How many quarters does Lisa
have in the beginning?
E. 5
F. 10
G. 15
H. 20
Answers
Answer:
5
Step-by-step explanation:
If Lisa has x quarters and Brenda has 3x quarters, we can write:
80% * 3x = 4 + (20% * 3x + x) -- We write 4 because 1 dollar = 4 quarters
0.8 * 3x = 4 + (0.2 * 3x + x)
2.4x = 4 + 1.6x
0.8x = 4
x = 5
dentify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. A researcher selects every 890 th social security number and researcher selects every 890th social security number and surveys surveys that the corresponding corresponding person.person. nothing nothing nothing Which type of sampling did the researcher researcher use
Answers
Complete Question:
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below;
A researcher selects every 890th social security number and surveys the corresponding person. Which type of sampling did the researcher use?
Answer:
Systematic sampling.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Convenience sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Systematic sampling.
A systematic sampling is a type of probability sampling method which involves the researcher selecting or collecting data from a larger population.
Under systematic sampling method, samples are selected from an ordered (fixed) sample population at periodic interval. Therefore, numbers are assigned to every member of the population and then, the "nth" member are selected by the researcher after choosing a fixed starting point.
In this scenario, the researcher selects every 890th social security number and surveys the corresponding person.
Hence, the type of sampling used by the researcher is systematic sampling.
Which of the following relation is correct
Answers
Answer:
Both the equation and its inverse are functions.
Step-by-step explanation:
In order to solve this problem lets first find the inverse of this function. This is done below:
[tex]y = x^2 + 8\\[/tex]
We first swap x and y.
[tex]x = y^2 + 8[/tex]
We now isolate y.
[tex]y^2 = x - 8\\y = \sqrt{x - 8}\\f^{-1}(x) = \sqrt{x - 8}[/tex]
Functions are relations between two groups of numbers, in such a way that one number on the input group must generate a singular answer from the output group. This holds true for both f(x) and its inverse, therefore both are functions.
Use the ratio of a 30-60-90 triangle to solve for the variables. Make sure to simplify radicals. Leave your answers as radicals in simplest form. u= n=_____square root________
Answers
Answer:
A. v = 19√3.
B. u = 38.
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 60°
Adjacent = 19
Opposite = v
Hypothenus = u
A. Determination of the value of 'v'
The value of v can be obtained by using Tan ratio as shown below:
Angle θ = 60°
Adjacent = 19
Opposite = v
Tan θ = Opposite /Adjacent
Tan 60 = v/19
Cross multiply
v = 19 × Tan 60
Tan 60 = √3
v = 19 × √3
v = 19√3
Therefore, the value of v is 19√3
B. Determination of the value of 'u'
The value of u can be obtained by using cosine ratio as shown below:
Angle θ = 60°
Adjacent = 19
Hypothenus = u
Cos θ = Adjacent /Hypothenus
Cos 60 = 19/u
Cos 60 = 1/2
1/2 = 19/u
Cross multiply
u = 2 × 19
u = 38
Therefore, the value of u is 38.
What is the average length of a side in the shape made from the file datatest1.txt whose contents are shown below (just give to two decimal places)? -3,3 -4,-3 4,-2 6,5
Answers
Answer:
0.75
Step-by-step explanation:
The average length is given as the sum of all the lengths given divided by the number of lengths (frequency).
Mathematically:
Average = (Sum of lengths) / frequency
The lengths given are -3, 3, -4, -3, 4, -2, 6, 5. There are 8 lengths there.
The average is therefore:
Average = (-3 + 3 + (-4) + (-3) + 4 + (-2) + 6 + 5) / 8
Average = 0.75
factor 16x to the 5th power subtract x to the third power
Answers
Answer:
X ^3 (4x+1) (4x-1)
Step-by-step explanation:
Factor x3 out of 16x5−x3
Rewrite 16x2 as (4x)2
Rewrite 1 as 1^2
Factor
x^3 (4x+1) (4x-1)
I hope I helped
14) Marty weighs 64
pounds and Nathan weighs
4
76 pounds. How much more does Nathan weigh
2
than Marty?
Answers
Answer:
Nathan weighs 12 more pounds than Marty.
Step-by-step explanation:
If Marty weighs 64 pounds and Nathan weighs 76 pounds, we can subtract the weight of Marty from Nathan to get our answer.
[tex]76-64=12[/tex]
In case Nathan was actually 476 pounds, the answer would be 412.
Select all the expressions that represent the large rectangle's total area
Answers
w = 5 while L = (b + 3)
Area is
5 • (b + 3) = 5b + 15
So answer is 2. 3. and 4. which are all similar forms of the same expression.
Answer:
Area of a rectangle is w • L
w = 5 while L = (b + 3)
Area is
5 • (b + 3) = 5b + 15
So answer is 2. 3. and 4. which are all similar forms of the same expression.
Step-by-step explanation:
[tex] - x - 2 \div x(x {}^{2} - 4)[/tex]
Answers
Answer:
Step-by-step explanation:
Hello,
First of all we will take any real number x different from 0, -2, +2 as dividing by 0 is not allowed and then we can write
[tex]\dfrac{( - x - 2)}{x(x^2 - 4)}=-\dfrac{x+2}{x(x-2)(x+2)}=\large \boxed{ -\dfrac{1}{x(x-2)}}[/tex]
because we know that
[tex]x^2-4=x^2-2^2=(x-2)(x+2)[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
How do you factor this expression: x^3 + 9x^2 + 27x + 27. Thanks! :)
Answers
Answer:
(x + 3)³
Step-by-step explanation:
Use rational root test to check for possible rational roots.
Factors of 27 are 1, 3, 9, and 27.
Factors of 1 are 1.
Possible rational roots are:
±1/1, ±3/1, ±9/1, ±27/1
Checking each one, we find that -3 is a root. So x + 3 is a factor.
Knowing that, we can use grouping to factor.
x³ + 9x² + 27x + 27
x³ + 9x² + 18x + 9x + 27
x (x² + 9x + 18) + 9 (x + 3)
x (x + 6) (x + 3) + 9 (x + 3)
(x + 3) (x (x + 6) + 9)
(x + 3) (x² + 6x + 9)
(x + 3) (x + 3)²
(x + 3)³
The weight of an object on the moon is
5 of its weight on Earth. If a moon rock
weighs 202 lb on Earth, how much did
the moon rock weigh on the moon?
Give your answer as a simplified mixed number.
Enter the number that belongs in the green box.
Answers
Answer:
40 2/5Ibs or [tex]40\frac{2}{5}[/tex] lbs
Step-by-step explanation:
Let weight of object on the moon be represented = Wm
weight of object on the Earth = We
In the above question, we are told:
The weight of an object on the moon is
5 of its weight on Earth.
Hence, mathematically, this is represented as:
5Wm = We
If a moon rock weighs 202 lbs on Earth
5Wm = 202lbs
Wm = 202lbs/5
Wm = [tex]40\frac{2}{5}[/tex]Ibs
Therefore, the moon rock weighs [tex]40\frac{2}{5}[/tex]Ibs on the moon.
PLEASE HELP The equation of the line below is: y = -4x + 4. y = -2x + 4. y = 2x + 4. None of these choices are correct.
Answers
Answer:
y = 2x+4
Step-by-step explanation:
The y intercept ( where it crosses the y axis ) is 4
The slope is positive because the line goes up from the bottom left to top right
We pick two point ( -2,0) and ( 0,4)
The slope is found by
m= (y2-y1)/(x2-x1)
= ( 4-0)/(0- -2)
= 4/ (0+2)
= 4/2
= 2
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 2x+4
Answer:
The equation to this line is y=-4x+4
Step-by-step explanation:
If you look at the graph you can see that the y intercept is 4.
To find the slope take two points on the graph and plug it into be y2-y1/x2-x1
I chose (0,-2) and (-1,2) So 2+2=4 and -1-0= -1 so 4/-1= -4
Another one omg this is annoying
Answers
Answer:
Correct option: first one
Step-by-step explanation:
The equation f(x) = 5x + 1 is a function, because each value of x gives only one value of y.
Now let's find the inverse by switching f(x) by x and x by f'(x), then isolating f'(x):
[tex]x = 5f'(x) + 1[/tex]
[tex]5f'(x) = x - 1[/tex]
[tex]f'(x) = \frac{x - 1}{5}[/tex]
The inverse f'(x) is also a function, because each value of x gives only one value of x.
So we have that both the equation and its inverse are function, therefore the correct answer is the first option.
I need the answers to B and C as (as fractions please)
Answers
Answer:
1/12 and 1/3
Step-by-step explanation:
There are 2 choices for flipping a coin (heads or tails) and 6 choices for rolling the die (1 - 6) so the total possible outcomes are 2 * 6 = 12. Of these, there's only one possibility where we get a tail and a 5 so the answer to b is 1/12. For c, there's only one head but there are 4 numbers less than 5 (1 - 4) so the total number of outcomes that satisfy our condition is 1 * 4 = 4 which makes the probability 4/12 = 1/3.
Answer:
Step-by-step explanation:
The probable results are:
Head + 1/2/3/4/5/6
Tail + 1/2/3/4/5/6.
B. This gives 12 results and tail + 5 is one of them, so the probability of getting that is 1/12.
C. A result with a head and a number less than 5 is available 4 times, making the fraction 4/12 or 3/4
Hope this helps
CAN ANYONE HELP IM VERY CLUELESS
Answers
Answer:
51°
Step-by-step explanation:
A circle has a total of 360 degrees. So,
360 = 62 + 66 + x + 73 + x + 57
Next, combine like terms:
360 = 2x + 258
Next, isolate your variable by subtracting 258 from both sides:
102 = 2x
Finally, divide both sides by 2 to get x:
x = 51
Answer:
x = 51
Step-by-step explanation:
x + 73 + x + 57 + 62 + 66 = 360
2x + 258 = 360
2x = 360 - 258
2x = 102
[tex]\frac{x}{2} =\frac{102}{2}[/tex]
x = 51
Last week Lisa had a gross earning of $1441.30. Cathy receives a base salary of $375 and a commission on sales exceeding her quota of $5000. What is her rate of commission if her sales were $6560?
Answers
Answer:
4.25%
Step-by-step explanation:
Commision = 441.30 - 375 = 66.30
Commision is based on = 6560-5000 = 1560
Rate of Commision = (in decimal) 66.30/1560 = 0.0425
Rate of Commision = 0.0425 * 100 = 4.25 %
Which is the graph of f(x) = /x?
Answers
Answer:
neither on of those. I can't see the the other answers so your best bet is to look on m-a-t-h-w-a-y. (had to spell out with hyphens but remove them and go to that)
Step-by-step explanation:
? Given: All US area codes are three-digit numbers that use the numerals 0 to 9. Step 1: How many area codes are possible if the first digit can't be 0? Use your keyboard and the keypad to enter your answer. Then click Done.
Answers
Answer:
1-9, 1929
Step-by-step explanation:
You do the arithmetic and then study the us government postal codes and then you do kid behavior with my names. So, you get 1929 basically, in a nutshell, forever incessantly. thank yopu
3m-(m + 5) when m = 11 help
Answers
Answer:
17
Step-by-step explanation:
3m-(m + 5)
Distribute the minus sign
3m -m -5
Combine like terms
2m -5
Let m =11
2*11 -5
22-5
17
Answer:
[tex]17[/tex]
Step-by-step explanation:
[tex]3m-(m + 5)[/tex]
[tex]m= 11[/tex]
Plug m as 11 in the expression.
[tex]3(11)-(11+5)[/tex]
Evaluate.
[tex]33-16[/tex]
[tex]=17[/tex]
HELP PLEASE!!
Below is the graph of f(x)=2ln(x). How would you describe the graph of g(x)=4ln(x)?
Answers
Reasoning:
g(x) = 4*ln(x)
g(x) = 2*2ln(x)
g(x) = 2*f(x)
Whatever the output f(x) is, it is doubled to get g(x). Recall that y = f(x), so we're really doubling the y values to visually stretch it vertically by a factor of 2. In short, g(x) is twice as tall compared to f(x).
Answer:
C. g(x) stretches f(x) vertically by a factor of 2.
Step-by-step explanation:
a p e x
2) Jeremy needs to build a fence around his pool. The pool and the sidewalk around it have
a distance around 300 feet, so the perimeter of the fence needs to be at least 300 feet. The
length of the fence is four more than two times the width. What is the length and width?
Answers
Answer:
length = 26.6
width = 11.3
Step-by-step explanation:
1. Set up the equation
(2x + 4)(x) = 300
2. Simplify
2x² + 4x = 300
3. Solve by completing the square
Divide by 2 to make "a" equal to 1
x² + 2x = 150
Find term to complete the square by squaring half of "b"
(2/2)² = 1
x² + 2x + 1 = 150 + 1
Factor perfect square trinomial
√x² + 2x + √1 = 151
(x+1)² = 151
Square root each side
x + 1 = ±12.3
Set up two possibilities and solve
x + 1 = 12.3
x = 11.3
x + 1 = -12.3
x = -13.3
The measurement cannot be negative so width is equal to 11.3
4. Use the width to solve for the length
11.3(2) + 4 = 26.6
The length and width is 26.6 and 11.3.
Calculation of the length and width:Since The length of the fence is four more than two times the width.
So here the equation should be
(2x + 4)(x) = 300
[tex]2x^2 + 4x = 300[/tex]
Now
Here we divided by 2
So,
[tex]x^2 + 2x = 150[/tex]
Now we determine the term
[tex](2/2)^2 = 1\\\\x^2 + 2x + 1 = 150 + 1[/tex]
Now applied the Factor perfect square trinomial
[tex]\sqrt x^2 + 2x + \sqrt1 = 151\\\(x+1)^2 = 151[/tex]
Now do the Square root each side
x + 1 = ±12.3
Here we required to set up two possibilities and solve
x + 1 = 12.3
x = 11.3
And,
x + 1 = -12.3
x = -13.3
The measurement should not be negative so the width is equal to 11.3
Now the width is
= 11.3(2) + 4
= 26.6
Therefore, The length and width is 26.6 and 11.3.
Learn more about length here: https://brainly.com/question/4979629
Please answer quickly I am unsure what to do
Answers
Answer:
Investment B is £97 more than investment A
Step-by-step explanation:
For investment A
£160is saved for 2 years every month
Total amount at the end of the two years= 2*160*12= £3840
The the percentage interest added is
=2.5/100*3840
= £96
Total amount= 3840+96
Total amount=£ 3936
For investment B
£3800 is compounded every year for two years at 3%
Total amount= 3800(1+0.03/2)^(2*2)
Total amount= 3800(1+0.015)^4
Total amount= 3800(1.015)^4
Total amount= 3800(1.061363551)
Total amount= 4033.18
Total amount= £4033
The difference between the two investment= 4033-3936
= £97
BRAINLIEST! ASAP! A boat travelling at top speed upstream moves at 15km/hr. When it travels downstream, again at top speed< it moves at 25km/hr. What is the boat's top speed in still water?
Answers
Answer:
20 km/hr
Step-by-step explanation:
The boat's still-water speed is the average of its speeds against and with the current:
(15 +25)/2 = 20 . . . km/hr
__
If you want to write equations, you can let b and c represent the speeds of the boat and current in km/hr.
b - c = 15 . . . . upstream speed
b + c = 25 . . . . downstream speed
Add these two equations, and you get ...
(b -c) +(b +c) = (15) +(25)
2b = 40
b = 20 . . . . divide by 2
The speed of the boat in still water is 20 km/hr.
Answer:
20 km/hr
Step-by-step explanation:
To solve this, you have to find the average speed it is going. To find this, you just add up all of the speeds mentioned and divide it by the number of speeds you added.
15 +25=40
40/2=20
20km/hr!!!
Good luck on what you are doing I hope you do well! Brainliest would be great :)
Find the value of X and Y in the following parallelogram.AD =X+8 D=2y +13 C=16-x CB=5y+4 AB=o
Answers
Answer:
The answer is below
Step-by-step explanation:
AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4
In a parallelogram, consecutive angles are supplementary and opposite sides are equal.
Therefore for parallelogram ABCD, AB = CD, CB = AD
Since AD = CB (opposite sides of a parallelogram are equal):
x + 8 = 5y + 4
5y - x = 8 - 4
5y - x = 4 (1)
∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:
16 - x + 2y + 13 = 180
2y - x + 29 = 180
2y - x = 180 -29
2y - x = 151 (2)
To find x and y, subtract equation 1 from equation 2:
3y = -147
y = -49
Put y = -49 in equation 2
2(-49) - x = 151
x = -98 - 151
x = -249
Find the value of this expression if x = 3
and y = -1.
xy²
5
Answers
Answer:
0.6 = 6/10 = 3/5 is the answer.Step-by-step explanation:
0.6 = 6/10 = 3/5
is the answer
This is because you have to substitute.
Given:
x = 3
y = -1
Unknown:
Final Answer
(x*y^2)/5
((3)(-1*-1)/5
= (3*1)/5
= 3/5= 6/10= 0.6Hope this helped,
Kavitha
The length of 7 (the minor arc) is 15 cm. What is the circumference of Z?
Answers
Answer:450 cm
Step-by-step explanation:
Three years after a company was founded, its assets were $11,283,500. Ten years after being founded, its assets had grown to $21,794,600. During that period of time, at what rate did the company's assets grow per year?
Answers
Answer:
$1,051,110Step-by-step explanation:
Given
Step one:
Company's initial asset value = $11,283,500
Company's final asset value = $21,794,600
Step two
we can calculate the company's asset appreciation after 10 years as
$21,794,600- $11,283,500= $10,511,100
Step three
Hence, the growth rate of the company's asset value per year can be expressed as = $10,511,100/10= $1,051,110