Answer: For those in the future!
The answer to this is D: (4g+2)(16g^2minus8g+4)
Step-by-step explanation:
Find the largest number which divides 149 and 101 , leaving remainder of 5
The largest number which divides 149 and 101 , leaving remainder of 5 : 48
Further explanationThe division operation is one of the basic arithmetic operations
Common signs used are [tex] \large {\boxed {:}}} [/tex] or [tex] \large {\boxed {\slash}} [/tex]
The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel
The division is actually an iterative subtraction operation (as many as the number of divisors)
Division is the opposite of multiplying
The general form of division can be stated by:
[tex] \large {\boxed {\bold {divident:divisor=quotient+remainder}} [/tex]
example:
7: 3 = 2 + 1
Division operation statement:
"7 divided by 3 equals 2 remainder 1"
7 = dividend 3 = divisor 2 = quotient 1 = remainderA number have many factors
A common factor is a factor of two / more numbers.
Greatest common factor (GCF or HCF = Highest Common Factor) is the largest of the common factors
The largest number which divides 149 and 101 leaving remainder of 5
Division operation:
149: x = y +5 101: x = z + 5We find the value of x which is the GCF of the numbers 144 and 96
149 - 5 = 144
101 - 5 = 96
We look for GCF from factors of 144 and 96
144: 1, 2, 3, 4, 6, 8, 9, 16, 18, 24, 36, 48, 72, 144 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96GCF of 144 and 96 is 48
Or we can use prime factors:
144: 2⁴ X 3²
96: 2⁵ X 3
GCF = 2⁴ X 3 = 48
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Keywords : Greatest common factor , division, prime factors
is a trapezoid a kite
LMN Office Company sells 20 printer cartridges for $240. XYZ Supplies has a box of printer cartridges for $150. The box contains 12 cartridges.
Which company has the least expensive cartridge? choose one of the following
LMN Office Company?
XYZ Supplies?
They are the same?
Not enough information?
The company which has the least expensive cartridge is:
LMN office company.
Step-by-step explanation:LMN Office Company sells 20 printer cartridges for $240.
This means that the cost of 1 printer cartridge is: $ 240/20=$ 12
Also, . XYZ Supplies has a box of printer cartridges for $150.
The box contains 12 cartridges.
This means that the cost of 12 cartridge is: $ 150
Hence, cost of 1 printer cartridge is: $ 150/12=$ 12.5
Hence, the company which has the least expensive cartridge is:
LMN Office Company.
( Since, 12 < 12.5 )
what degree of rotation will cause the triangle below to map onto itself
Answer:
Option A is correct that is [tex]360^{\circ}[/tex]
Step-by-step explanation:
We have been given a triangle we need to tell which one of these is a triangle below to map onto itself.
[tex]360^{\circ}[/tex] rotation is the complete rotation which eventually leads to the same figure which is given.
Option A is correct that is [tex]360^{\circ}[/tex] that will cause the triangle below to map onto itself.
4,126 rounded to the nearest ten
I need to know the three points of inflection
k-20/5=11j ; solve for k
Simplify or compute : a times a times a divided by 3a
If i is raised to an even power, then it can not simplify to be
a. -1
b. 1
c. i
You drove to your cousin's house, which is 460 miles away. After two hours, you had go e 100 miles. After 8 hours, you reached your destination. Write an equation that gives the number of miles you had driven, y, in germs of the number of hours you had driven, t.
To express the number of miles driven, y, in terms of the number of hours driven, t, we first find the speed and then use it to formulate the equation of the line as y = 60t. However, to accurately represent the entire trip, we must include the initial 100 miles driven in 2 hours, leading to y = 60t - 20 as the final equation.
To write an equation that gives the number of miles driven, y, in terms of the number of hours driven, t, we can use the relationship between distance and travel time. Given that after two hours you had gone 100 miles and after 8 hours, you reached your destination, which is 460 miles away, we establish two points on our distance-time graph: (2, 100) and (8, 460).
Using the two points, we can find the slope of the line, which represents the speed:
Slope (speed) = (change in distance) / (change in time) = (460 - 100) miles / (8 - 2) hours = 360 miles / 6 hours = 60 miles/hour.
We can now express the equation of the line as y = mx + b, where m is the slope and b is the y-intercept. The y-intercept represents the distance at time zero, which for most driving scenarios we assume to be 0 miles. Thus, the equation becomes y = 60t. However, this equation would not accurately represent the entire trip since it doesn't account for the initial 100 miles driven in the first 2 hours.
To adjust for that, we'll introduce an offset for the initial 100 miles traveled in the first 2 hours. The y-intercept would be 100 miles less than if we had started from 0 miles at 0 hours. The corrected equation for the entire trip would be of the form y = 60t + b, where b = y - 60t and y are the miles covered in the initial 2 hours, which is 100 miles. Substituting the values, we get b = 100 - 60 x 2 which equals -20.
The final equation, accounting for the first 2 hours of travel, would therefore be: y = 60t - 20.
William Right broke his leg in an accidental fall. He has a deductible of $150 and a coinsurance payment equal to 20% percent of the cost less the deductible. The entire bill for medical services was $750.00.
How much did William pay? $
How much did the insurance company pay? $
We know that William
paid his deductible that amount is the $150.
Then William paid 20 percent of everything else. That's 20 percent of (750
minus 150), it is equal to 150.
Then the insurance company paid 80 percent of (750 minus 250), it is equal to
480.
Answer:
its is he payed 270 and insurance payed 480
Step-by-step explanation:
just simply add up the numbers to 750 and the only ones that go together are 270 + 480 = 750 hope it helps :)
24=6−2(2n+3) What value on n makes the equation true?
Write the equation of the line containing the point (3, –2) and having a slope of 2 in slope-intercept form.
The equation of a line containing the point (3, –2) and having a slope of 2, is y = 2x-8
What is an equation of a line?The general equation of a line in two variables of the first degree is represented as Ax + By +C = 0, A, B ≠ 0 where A, B and C are constants which belong to real numbers. When we represent the equation geometrically, we always get a straight line.
Given that a line containing the point (3, –2) and having a slope of 2, we need to find the equation of the line,
So, the general equation of a line is y = mx+c
Where, m is the slope and c is the y-intercept.
Therefore,
y = 2x+c
Now, put x = 3 and y = -2 in the equation to find the value of c,
-2 = 3(2)+c
-2 = 6+c
c = -8
Put the value of c in the equation,
y = 2x-8
Hence, the equation of a line containing the point (3, –2) and having a slope of 2, is y = 2x-8
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Vinny auto repair charges $75 an hour for labor plus the cost of parts. Mr sellners car was repaired and repaired $50 worth of parts and h hours of labor. The total cost,C, to repair the car is modeled by this function.
C(h)=75h+50
The total cost to repair the car was $650. How many hours of labor were required?
Select the correct answer below.
A.8hours
B.8 2/3 hours
C.9 1/3hours
D.13 hours
How does dividing the coins into equal groups help solve the problem
PLEASE HELP!!!!! I DONT UNDERSTAND!!!! :(
A city's population is represented by the function P=25,000(1.0095)t , where t is time in years.
How could the function be rewritten to identify the daily growth rate of the population?
What is the approximate daily growth rate?
write an algebraic expression that models the word phrase.
the product of 8 and the sum of a number x and 3
Anyone know the answers for #8 and #9?
What is another way to express 64?
A) 34
B) 64
C) 6.4 x 102
D) 82
Answer:
D) 8²
Step-by-step explanation:
Evaluate each of the choices and see which one is equal to 64.
_____
It helps if appropriate mathematical symbols are used.
The graph below represents the price of sending video messages using the services of a phone company. What is the constant of proportionality?
One of the zeros of the polynomial function is 2.
f(x)=x4−3x3−23x2+75x−50
What is the factored form of the function?
f(x)=(x−5)(x+5)(x−2)2f(x)=(x−5)(x+5)(x−2)(x−1)f(x)=(x−5)(x+5)(x−2)(x+1)f(x)=(x−5)(x+5)(x−1)2
Answer:
Heres the correct answer. Hope this helps anyone who needs it!!!
Step-by-step explanation:
The polynomial function is one that involves only non-negative number powers of x, unlike a polynomial, cubic, or quartic function, and further calculation can be defined as follows:
Given:
[tex]\bold{f(x)=x^4-3x^3-23x^2+75x-50}[/tex]
To find:
Solution:
[tex]\to \bold{f(x)=x^4-3x^3-23x^2+75x-50}[/tex]
Let [tex]\bold{x=2}[/tex]
[tex]\to \bold{f(2)=2^4-3(2)^3-23(2)^2+75(2)-50}\\\\\to \bold{f(2)=16-3(8)-23(4)+75(2)-50}\\\\\to \bold{f(2)=16-24-92+150-50}\\\\\to \bold{f(2)=166-166}\\\\\to \bold{f(2)=0}\\\\[/tex]
So the factor is [tex]\bold{(x-2)}[/tex].
[tex]\to \bold{(x-5)(x-2)(x-1)(x+5)}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{ f(x)=(x-5)(x-2)(x-1)(x+5)}\\\\[/tex]".
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The cost to mail a first-class letter is $0.47 for the first ounce. Each additional ounce costs $0.22. Fractions of an ounce are rounded up to the next whole ounce. How much would it cost to mail a letter that weighs 2.7 ounces? pleaseee
jase farm has 9 chickens each laid 3 eggs, he also has 4 horses. ednas farm has chickens which laid a total of 23 eggs, jase wonders whose chickens laid more eggs. What is a good plan to find whose chickens laid more eggs?
Jase's chickens laid more eggs.
From the information given, Jase farm has 9 chickens and each laid 3 eggs, therefore the total eggs laid will be:
= 9 × 3
= 27 eggs.
On the other hand, Ednas farm has chickens which lay a total of 23 eggs. Therefore, since 27 eggs are more than 23 eggs, Jase's chickens laid more eggs.
In conclusion, Jase's chickens laid more eggs.
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What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6?
y = –3/4x + 8
y = –3/4x + 6
y =4/3 x – 8
y= 4/3x - 6
Step 1
Find the slope of the given line
Let
[tex]A(-4,4)\ B(4,-2)[/tex]
we know that
the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{-2-4}{4+4}[/tex]
[tex]m=\frac{-6}{8}[/tex]
[tex]m=-\frac{3}{4}[/tex]
Step 2
Find the slope of the line perpendicular to the given line
we know that
if two lines are perpendicular
then
the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
we have
[tex]m1=-\frac{3}{4}[/tex] ------> slope of the given line
Find the value of m2
[tex]m2=-1/m1[/tex]
substitute
[tex]m2=-1/(-3/4)[/tex]
[tex]m2=\frac{4}{3}[/tex]
Step 3
Find the equation of the line
we know that
the equation of the line into point-slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=\frac{4}{3}[/tex]
x-intercept is equal to [tex]6[/tex] --------> is the point [tex](6,0)[/tex]
substitute in the formula
[tex]y-0=\frac{4}{3}(x-6)[/tex]
[tex]y=\frac{4}{3}x-8[/tex]
therefore
the answer is the option
[tex]y=\frac{4}{3}x-8[/tex]
if you flip the graph of the exponential function f(x)=2x over the x axis what is the equation of the new function
Answer:
Option: B is the correct answer.
The equation of the new function g(x) on flipping the function f(x) over the x-axis is:
[tex]g(x)=-2^x[/tex]
Step-by-step explanation:
We are given a graph of the exponential function f(x) which is represented by:
[tex]f(x)=2^x[/tex]
We know that when a graph of a function is reflected or flipped over the x-axis then the the change that take place to the function is that f(x) is transformed to -f(x).
( Since on flipping the function over the x-axis the positive value of the function get changed to negative and the negative value of the function is changed to positive)
Hence, the equation for the new function is:
[tex]g(x)=-f(x)\\\\g(x)=-2^x[/tex]
what is the greatest common factor for 5 4 and 2
A line has a slope of mc013-1.jpg and passes through the point (–5, 4). Which is the equation of the line?
Answer:
y = [tex]\frac{-3x}{4}[/tex] + [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
Given : Graph of slope [tex]\frac{-3}{4}[/tex] and passes through the point (–5, 4).
To find : Which is the equation of the line.
Solution : we have given that point ( -5 ,4)
By equation of line ([tex]y-y_{1}) = m (x -x_{1})[/tex]
y - 4 = [tex]\frac{-3}{4}[/tex]( x +5).
y - 4 = [tex]\frac{-3x}{4}[/tex] +[tex]\frac{-15}{4}[/tex].
On adding 4 both sides we get,
y = [tex]\frac{-3x}{4}[/tex] + [tex]\frac{-15}{4}+4[/tex].
y = [tex]\frac{-3x}{4}[/tex] + [tex]\frac{-15 +16}{4}[/tex].
y = [tex]\frac{-3x}{4}[/tex] + [tex]\frac{1}{4}[/tex].
Therefore, y = [tex]\frac{-3x}{4}[/tex] + [tex]\frac{1}{4}[/tex].
When referring to the normal probability distribution, there is not just one; there is a "family" of normal probability distributions?
Final answer:
There is a family of normal probability distributions, each representing different populations or sets of data with varying mean and standard deviation values.
Explanation:
Yes, there is a family of normal probability distributions. The normal distribution is a continuous probability distribution that can take on different forms depending on the mean and standard deviation. The family of normal distributions is characterized by different mean and standard deviation values, which result in different shapes of the distribution curve.
For example, the standard normal distribution has a mean of 0 and a standard deviation of 1, and its curve is symmetrical around the mean. Other normal distributions may have different means and standard deviations, resulting in curves that are shifted or stretched.
Each normal distribution in the family represents a different population or set of data, and knowing the specific mean and standard deviation allows us to calculate probabilities and make statistical inferences.
The equation of this type of line is y = kx. What is special about k?
Answer:
C
Step-by-step explanation:
k is the slope of the line
The equation of the line is y = kx. Therefore, the special thing about k is that it is the slope of the line.
Equation of a lineUsing a slope intercept equation,
y = kx + b
where
k = slope of the lineb = y-interceptTherefore, the y-intercept of the line y = kx is zero.
What is special about k is that it is the slope of the line y = kx.
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How would you write 5x5x5x5x5x5 in an exponent form, please help me i forgot
The exponent form of the given multiplication 5x5x5x5x5x5 is 5⁶.
What is an exponent expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent,"
it can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."
The given expression is 5x5x5x5x5x5. The exponent form of the number will be written below,
E = 5x5x5x5x5x5
E = 5⁶
Therefore, the exponent form of the given multiplication 5x5x5x5x5x5 is 5⁶.
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