A line passes through point 6, 1 and has a slope of 43. Write an equation in =+AxByC form for this line. Use integers for A, B, and C.
Answers
Answer:
4x-3y=21.
Step-by-step explanation:
1) the common view of slope-interception form is y=slope*x+interception;
2) if according to the condition the slope=4/3, then the required equation is
[tex]y=\frac{4}{3}x +interception;[/tex]
3) in order to calculate the interception it is enough to substitute the given coordinates into this equation:
[tex]1=6*\frac{4}{3} +interception; \ = > \ interception=-7;[/tex]
4) the slope interception form of the required equation is:
[tex]y=\frac{4}{3}x-7;[/tex]
5) if to re-write the equation in slope-interception form into the required, then (A=4; B=-3; C=21):
4x-3y=21.
Related Questions
37+1/2-(x+1/4)=9(4x-7)+5
Answers
i think it can be simplified, im not sure
Find the perimeter of the rectangle.
X+1
2.5x - 4
Answers
Answer: 7x-6
Step-by-step explanation:
P=perimeter. L=length. W=width
P=2L+2W
P=2(x+1)+2(2.5x-4)
P=2x+2+5x-8
P=2x+5x+2-8
P=7x-6
What proportion of people surveyed would be willing to pay more than $6.75 for a sandwich?
Answers
The proportion of people surveyed would be willing to pay more than $6.75 for a sandwich is 94.4%.
What is termed as normal distribution?The normal distribution, also recognized as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.
Early statisticians started to notice the same shape recurring in different distributions and designated it the normal distribution. Normal distributions are distinguished by their symmetric bell shape. The mean and median are the same; they are both in the middle of the distribution.As, for the given value in the question;
The formula for finding the z-score is;
z = (x - μ)/s
where,
n = sample size ( = 528)
σ = standard deviation ( = 1.19)
μ = mean of the sample (= 6.56)
Put the values and fine z-score.
z = (x - μ)/s
z = (6.75 - 6.56)/1.19
z = 0.19/1.19
z = 0.159
For the probability; see the p-value from the positive z-score table.
p(z > 0.159) = 0.944
p(z > 0.159) = 94.4%
Thus, the probability that the people would be willing to pay more than $6.75 for a sandwich is calculated as 94.4%.
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The complete question is -
A sample of 528 people were asked how much they would be willing to pay for a sandwich. Their responses were approximately normal with a mean of $6.56 and a standard deviation of $ 1.19.
What proportion of people surveyed would be willing to pay more than $6.75 for a sandwich?
The probability mass function of X is f(x)= 1/6, x 1.2...,6 then find out the value
of mean and standard deviation.
Answers
For the given probability mass function of X, the mean is 3.5 and the standard deviation is 1.708.
A discrete random variable X's probability mass function (PMF) is a function over its sample space that estimates the likelihood that X will have a given value. f(x)=P[X=x]. The total of all potential values for a random variable X, weighted by their relative probabilities, is known as the mean (or expected value E[X]) of that variable. Mean(μ) = 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) + 6(1/6).Mean(μ) = (1+2+3+4+5+6)/6Mean(μ) = 21/6Mean(μ) = 3.5The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution represents its standard deviation. It is denoted by 'σ'. A random variable's variance (or Var[X]) is a measurement of the range of potential values. It is, by definition, the squared expectation of the distance between X and μ. It is denoted by 'σ²'. σ² = E[X²]−μ²σ² = [1²(1/6) + 2²(1/6) + 3²(1/6) + 4²(1/6) + 5²(1/6) + 6²(1/6)] - (3.5)²σ² = [(1² + 2²+ 3² + 4²+ 5²+ 6²)/6] - (3.5)²σ² = [(1 + 4 + 9 + 16 + 25 + 36)/6] - (3.5)²σ² = (91/6) - (3.5)²σ² = 15.167-12.25σ² = 2.917σ = √2.917Standard deviation (σ) = 1.708To learn more about variance, visit :
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Which of the following is equivalent to the quantity three fifths end quantity to the power of 2 times x?
A - the quantity three fifths end quantity to the power of x
B - the quantity 6 over 10 end quantity to the power of x
C - the quantity 9 over 5 end quantity to the power of x
D - the quantity 9 over 25 end quantity to the power of x
Answers
Answer:
B is correct
Step-by-step explanation:
three fifths= 6/10= 0.6
since the quantity is to a power of (2×x)=2x
so B is correct
Learn
Look at this equation:
C
c³ = 125
What is c, the cube root of 125?
Answers
5^3 = 5 x 5 x 5 = 125.
I hope this helps!!
A leading agent leases 15 apartments in the month of sept. If the agent leases 40% more apartments in the next month, how many dies she lease in October?
Answers
She will lease out 21 apartments in the month of October.
We are given that a leading agent leases 15 apartments in the month of September.
Number of apartments in the month of September = 15.
Now, it is also given that she leases 40 % more apartment in the next month that is October.
Number of apartments in the month of October. = 15 + 40 % of 15
Number of apartments = 15 + 40 / 100 × 15
Number of apartments = 15 + 6
Number of apartments = 21 apartments.
Therefore, she will lease out 21 apartments in the month of October.
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I NEED HELP PLEASE
f+3n=7n
Answers
Answer:
4n
Step-by-step explanation:
We move all terms to the left:
+3F-(7F)=0
We add all the numbers together, and all the variables
-4F=0
F=0/-4
F=0
Please help I’m about to lose it!!!
Calculate the distance between the points N=(-8, -2) and C= (-3, 1) in the coordinate plane
Give an exact answer (not a decimal approximation).
34 is incorrect
Answers
Answer: 8
Step-by-step explanation:
starting from the x coordinates, -8 and -3, subtract them and get 5. Moving on to the y coordinates, -2 and 1, you add 2 and 1 to get 3. In total after adding 5 and 3 you get 8. When the coordinates (that are in the same spot) are the same, you are subtract. But when they are different, you add. Sorry if this is confusing! But in the end, 8 is he answer.
Please help!
Simplify:
Answers
Answer: Raise
5
to the power of
4
= 625
Answer:
[tex]5^{4} =625..[/tex]
Step-by-step explanation:
[tex]5^{4} = 625[/tex]
[tex]=625[/tex]
hopefully this helps you :)
2/3, ¹/3 =I need to find a LCD less common denominator for this question
Answers
In order to answer this issue, I need to identify an LCD, or least common denominator—something that unites all of the group members. We had all previously worked for the same employer, so that was our common denominator.
A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. Numbers that have more than two factors are called composite numbers.
Prime number seven.
7*8 = 56
56 is the lowest common factor.
3/7 * 8/8 = 24/56
5/8*7/7 = 35/56
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Larry put $1,287 into a savings account 8 years ago. • The account earned 4% simple annual interest. • He made no additional deposits or withdrawals. Based on this information, what is the balance in dollars and cents in Larry's savings account at the end of these 8 years? Record your answer in the boxes below. Be sure to use the correct place value.
Answers
The balance in Larry's savings account at the end of these 8 years is 1698 dollars and 84 cents
What is the balance in dollars and cents in Larry's savings account at the end of these 8 yearsThe given parameters are
Principal, P = 1287
Rate, R= 4%
Time, T = 8
The balance in dollars and cents in Larry's savings account at the end of these 8 years
Balance = P * PRT
This gives
Balance = 1287 + 1287 * 4% * 8
Evaluate
Balance = 1698.84
Hence, the balance in Larry's savings account at the end of these 8 years is 1698 dollars and 84 cents
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K
Pedro has scores of 85, 84, 69, and 82 after four tests. What score must he make on his fifth test to have an average of 79 or greater?
The score that Pedro needs on his fifth test to get an average of at least 79 is
(Round to the nearest integer as needed.)
Answers
Answer: x > 75
Step-by-step explanation:
(85+84+69+82+x)/5 > 79
85+84+69+82+x > 395
x > 75
HELP PLEASE ALGEBRA 2
Answers
Answer:
´the set of all values for which the function is defined´
Step-by-step explanation:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
The perimeter of the school crossing sign is 102 inches. What is the value of s ?
Equation:
= 102
S =
What is the length of each side? Label the length of each side in inches.
2s-
Answers
Answer:
The value of s is 15
Step-by-step explanation:
so first you count all the sides and add them up
s+6+s+6+s+2s+s=102
6s+12=102
6s=90
s=15!!
After that you plug that into to the equations for the answer.
Hope this helps!
4(x + 2)-2=6x-21-4+x)
Answers
Answer:
3.5 or [tex]\frac{7}2}[/tex]
Step-by-step explanation:
4(x+2)-2=6x-2(4+x)
4x + 8 - 2 = 6x - 8 + 2x
4x + 6 = 8x - 8
14 = 4x
x = 3.5 or [tex]\frac{7}2}[/tex]
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Use the diagram to find the measures of the lengths of the
sides. The perimeter of the trapezoid on the right is 67
inches.
Answers
The length of all four sides of the Isoclesles Trapezium is 67 inches.
What is an area of a Trapezium?Area of a Trapezium is (1/2)(a+b)h.Where and b are the parallel sides of the trapezium and h is the distance between the two parallel side
We know that for a plane 2D figure perimeter is the sum of the lengths of all the sides.
Given an isosceles Trapezium with a perimeter of 67 inches,
As the sides are given in variables we can equate the sum of all the sides with the given perimeter and obtain the value of x.
∴ (x + 1.5x + 2.5x - 5 + x) = 67.
6x = 67 + 5.
6x = 72.
x = 12.
So, the measure of lengths of four sides are [ 12 + 1.5(12) + 2.5(12) - 5 + 12) which is ( 12 + 18 + 30 - 5 + 12 ) = 67 inches.
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37 divided by 27
explanation please
Answers
Answer:
1.37037037 or 1 10/27
Step-by-step explanation:
What's there to explain?
27/27 + 10/27 = 1 10/27
A cone has a volume of 9 pi in cubed and a diameter of 6 in . Wilson states that a cylinder
Answers
Answer:
ok then what's the correct answer?
Step-by-step explanation:
Question -: If ( 1 + tan θ ) ( 1+ ∅ ) = 2 , then what is ( θ + ∅ ) ?
a . 30⁰ b. 45⁰ c. 60⁰ d. 90⁰
Answer this question
Please Give Explanation
thanks
Answers
Correct choice is B.) 45°
The solution is in attachment ! do check it
Step-by-step explanation:
6.25 points
Find the GCF for the list.
10m4, 40m⁹
10m5
40m4
10m4
6.25 points
hey
list
Argyle wants to make T-shirts for
students. Customink is willing to offer a
deal with the school that each shirt will
cost $5 plus a $50 fee for each shirt color.
Argyle wants to make a teal and a purple
shirt.
Answers
Answer:
55
Step-by-step explanation:
3x – y = -1 x – 2y = -12
Answers
The solution to the system of equation is (2, 7)
System of equationGiven the system of equation expressed as:
3x – y = -1 * 2
x – 2y = -12 * 1
________________
6x – 2y = -2
x – 2y = -12
Subtract to have;
6x-x = -2-(-12)
5x = 10
x = 2
Substitute x = 2 into 2 to have:
2 - 2y = -12
-2y = -14
y = 7
Hence the solution to the system of equation is (2, 7)
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number of gram in p gram?
Answers
Answer:
1 pound (lb) is equal to 453.59237 grams (g)
A fox sees a rabbit 35 feet away and starts chasing it. As soon as the fox starts moving the rabbit sees it and starts running away at a speed of 40 feet per second. What should the fox's speed be to catch up to the rabbit.
Answers
The speed of the fox should be 35/t + 40 to catch up to the rabbit.
What is speed?Speed is the ratio of distance and time.
Speed = Distance / Time
We have,
The distance between the rabbit and fox = 35 feets
The rabbit's speed = 40 feet per second
Let fox's speed = F
Let the time taken to catch up to the rabbit = t
Now,
Rabbit's distance from fox after time t will be:
= 35 + (40 × t)
= 35 + 40t
Fox's distance after time t:
= F × t
Fox and rabbit distance must be the same in order for the fox to catch up with the rabbit.
35+40t = Ft
Dividing both sides by t.
35/t + 40 = F
Therefore the fox's speed must be 35/t + 40 in order to catch up with the rabbit.
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find the domain of the following functions and simplify their expressions.
Answers
The domain of the function is (-∞,∞) and the simplified expression is x²-6x-40 .
A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range.
The given functions are
f(x)=6x+24
g(x)=x²-16
Now we have to find (g-f)(x) .
(g-f)(x)=x²-16-6x-24
or,(g-f)(x)=x²-6x-40
or,(g-f)(x)=x²-10x+4x-40
or,(g-f)(x)=x(x-10)+4(x-10)
or,(g-f)(x)=(x-10)(x+4)
So the domain of the function (g-f)(x) are the values for which the function exists. we can see that the function exists for all values of x.
Domain in set builder notation={x|x∈R}
Domain in interval notation=(-∞,∞)
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hhhhhheeeeeeeeeeellllllllllllppppppppppp!!!!!!!!!!!!
Answers
Answer:7
Step-by-step explanation:
According to the Pew Research Center Journalism and Media, the estimated circulation of weekday newspapers, in millions, in the United States can be approximated by the formula c = -0.0166x^2 + 1.2109x + 41.708 where x is the number of years after 1940. According to the formula, in what year would the circulation of weekday newspapers be 0 million? Round to the nearest year.
Answers
Step-by-step explanation:
so, simply, when is c = 0 ?
0 = -0.0166x² + 1.2109x + 41.708
the solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -0.0166
b = 1.2109
c = 41.708
x = (-1.2109 ± sqrt(1.2109² - 4×-0.0166×41.708))/(2×-0.0166) =
= (-1.2109 ± sqrt(1.46627881 + 2.7694112))/-0.0332 =
= (-1.2109 ± sqrt(4.23569001)/-0.0332 =
= (-1.2109 ± 2.058079204...)/-0.0332
x1 = (-1.2109 + 2.058079204...)/-0.0332 =
= -25.5174459... years
x2 = (-1.2109 - 2.058079204...)/-0.0332 =
= 98.46322904... years
x1 represents then a calculation backwards of 1940 - 25.5 years (≈ 1914) as the estimated starting point with 0 million sold papers.
x2 is the projected year in the future with 0 million dogs papers :
1940 + 98.46322904... = 2038.463229... ≈ 2038
based on this equation it is expected that during 2038 the circulation of weekday newspapers will drop to 0 millions.
How many subsets are there in A={x:x is letters of the alphabet}
Answers
The number of subsets formed is 67,108,864.
What is defined as the subsets?Set 1 is said to be a subset of set 2 if all of its elements are present in it. A set is a clearly defined group of numbers, alphabets, items, or any other items.
If set 1 = A,B,C and set 2 = A,B,C,D,E,F, then set 1 is a subset of set 2 because all of the elements in set 1 are also present in set 2.A subset is a subset of a larger set (another set or the same set). To symbolize a set A as a subset of a larger set B, use the set notation: A ⊆ B.The number of subsets of an n-element set is 2ⁿ.
As a result, the formula for determining the number of subsets of the a set with 'n' components is 2ⁿ.
For the given question;
A={x:x is letters of the alphabet}
Thus, the n = 26 (total letter is English alphabet).
Total subsets = 2ⁿ
Total subsets = 2²⁶ = 67,108,864.
Therefore, the total number of subsets formed by the English alphabet are 2²⁶ = 67,108,864.
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can someone help me please
Answers
Answer:
A(-9/2, 0)B(1, 0)C(0, -9)Step-by-step explanation:
Given the quadratic equation y = 2x² +7x -9, you want the coordinates of the x- and y-intercepts.
X-interceptsThe values of x where y=0 can be found by factoring the equation.
y = (2x +9)(2x -2)/2 = (2x +9)(x -1)
The constants 9 and -2 in the binomial terms are factors of the product of leading and trailing coefficients (2)(-9) = -18. Those factors are chosen because their sum is 7, the middle coefficient.
The x-intercepts are the values of x that make these factors zero:
2x +9 = 0 ⇒ x = -9/2
x -1 = 0 ⇒ x = 1
Points A and B are ...
A(-9/2, 0)B(1, 0)Y-interceptThe y-value at point C is where x=0. It is the constant in the quadratic equation.
y = 2(0²) +7(0) -9 = -9
Point C is ...
C(0, -9)3x+4=2x+8 solve linear equation
Answers
Step by step
3x + 4 = 2x + 8
-2x -2x
X + 4 = 8
-4 -4
X=4
Answer:
3x±4=2x±8
3x-2x=8-4
x=4
Step-by-step explanation:
Hope its helpful for you
