solve y=mx+b for m. thank you!!!!
Answers
Answer:
m = (y - b)/x
Step-by-step explanation:
y = mx + b
Subtrcat b on both sides.
y - b = mx + b - b
y - b = mx
Divide both sides by x.
(y - b)/x = mx/x
(y - b)/x = m
Answer:
m = (y - b)/x
Hope This Helped
Step-by-step explanation:
y=mx+b
Subtract b from both sides
(y-b)=mx
Divide x by both sides
(y-b)/x=m
Flip
m=(y-b)/x
Hope This Helped!
Related Questions
the graph of f(x)=x is shown on the cooridinate plane. function g is a transformation of f as shown below. g(x)=f(x-5)
Answers
For this exercise you need to remember the following Transformation rules for for a function f(x):
1) If:
\(f(x-h)\)Then the function is shifted right "h" units.
2) If:
\(f(x+h)\)Then the function is shifted left "h" units.
In this case you have this parent function:
\(f(x)=x\)Which is a line that passes through the point (0,0) or "The origin".
You know that the function g(x) is a transformation of f(x), and this is:
\(g\mleft(x\mright)=f\mleft(x-5\mright)\)So you can identify that the transformation has the form:
\(f(x-h)\)Where:
\(h=5\)Therefore, the graph of g(x) is the graph of f(x) but shifted right 5 units.
Then, the graph of the function g(x) is:
A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to let the tortoise have a 510-meter head start. When the start gun is fired the hare begins running at a constant speed of 8 meters per second and the tortoise begins crawling at a constant speed of 6 meters per second. -Let t represent the number of seconds that have elapsed since the start gun was fired. 1) Write an expression in terms of t that represents the hare's distance from the starting line (in meters) 2) Write an expression in terms of t that represents the tortoise's distance from the starting line (in meters) 3) Write an expression in terms of t that represents the number of meters the tortoise is ahead of the hare.
Answers
Answer:
1. 8t
2. 510 + 6t
3. 510 - 2t
Step-by-step explanation:
1. Since the hare moves at a speed of 8 metres per second, the distance it moves from the starting line is d = speed × time = 8t
2. Since the rabbit moves at a speed of 6 metres per second, and gets a head start of 510 metres, the distance it moves from the starting line is d = 510 m + speed × time = 510 + 6t
3. The distance the tortoise is ahead of the hare is thus, distance moved by rabbit - distance moved by hare in time, t.
d' = 510 + 6t - 8t
= 510 - 2t
the equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940. In this equation, a represents the average age and x represents the years since 1940. Estimate the year in which the average age of brides was the youngest
Answers
Answer:
Please help me important question in image
Step-by-step explanation:Please help me important question in image
Please help me important quePlease help me important question in image
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Please help me important question in image
Please help me important question in image
Answer:
The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.
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Given: angle EGF = 60° and Angle AGF = 90°. Prove: AGB = 30
I need two column proof btw
Answers
Step-by-step explanation:
you you can state that angles in a triangle add up to 180° and 180 degrees - 90 + 60 is equals to 30 degrees
If lina takes an assignment at 4:30 and it takes her 12 minutes to complete it at what time did she finished?
Answers
Answer: 4:42
Step-by-step explanation:
4:30 + 0:12 = 4:42
Note: Enter your answer and show all the steps that you use to
solve this problem in the space provided.
You have a credit card with a balance of $1,367.90 at a 9.5%
APR. You pay $400.00 each month on the due date until the
card is paid off. How many months does it take to pay off the
card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
. the mathematical steps for solving the problem
demonstrating mathematical reasoning
Answers
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:
Step 1: Calculate the monthly interest rate.
The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):
Monthly interest rate = 9.5% / 12 = 0.0079167
Step 2: Determine the monthly payment.
The monthly payment is given as $400.
Step 3: Calculate the interest and principal paid each month.
The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.
Principal paid = Monthly payment - Interest paid
Step 4: Track the remaining balance each month.
Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.
Step 5: Repeat Steps 3 and 4 until the balance reaches zero.
Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.
Step 6: Determine the total number of months and the total amount paid.
Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.
Let's calculate the number of months and the total amount paid, including interest:
Month 1:
Interest paid = 0.0079167 * $1,367.90 = $10.84
Principal paid = $400 - $10.84 = $389.16
New balance = $1,367.90 - $389.16 = $978.74
Month 2:
Interest paid = 0.0079167 * $978.74 = $7.75
Principal paid = $400 - $7.75 = $392.25
New balance = $978.74 - $392.25 = $586.49
Month 3:
Interest paid = 0.0079167 * $586.49 = $4.64
Principal paid = $400 - $4.64 = $395.36
New balance = $586.49 - $395.36 = $191.13
Month 4:
Interest paid = 0.0079167 * $191.13 = $1.51
Principal paid = $400 - $1.51 = $398.49
New balance = $191.13 - $398.49 = -$207.36 (Paid off)
It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:
Total amount paid = 4 * $400 = $1600
Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
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help fast please
how far does light travel per second?
Answers
9514 1404 393
Answer:
3×10^8 m/s
Step-by-step explanation:
The desired speed is ...
\(\dfrac{\dfrac{9.45\times10^{15}\text{ m}}{\text{yr}}}{\dfrac{3.15\times10^7\text{ s}}{\text{yr}}}=\dfrac{9.45}{3.15}\times10^{15-7}\text{ m/s}=\boxed{3.00\times10^8\text{ m/s}}\)
__
Your calculator can help you figure this out.
How many terms are in the expression when simplified
Answers
Answer:
There are four (4) different terms
Step-by-step explanation:
Given;
2x + 3xy - (x + y) + 2
The terms are simplified as follows;
=2x + 3xy - (x + y) + 2
= 2x + 3xy - x - y + 2
collect like terms;
= 2x - x - y + 3xy + 2
= x - y + 3xy + 2
Thus, there are four (4) different terms in the simplified expression.
For F(x)=x^2+8 and g(x)=x^2-8 , find
( f o g) (x)
(g o f) (x),
(f o g)(2)
thanks!!
Answers
The final answer is (f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.
(f o g)(x):
To find (f o g)(x), we substitute g(x) into f(x):
(f o g)(x) = f(g(x))
Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:
(f o g)(x) = f(g(x)) = f(x^2 - 8)
Now we replace x in f(x^2 - 8) with x^2 - 8:
(f o g)(x) = (x^2 - 8)^2 + 8
Simplifying further:
(f o g)(x) = x^4 - 16x^2 + 64 + 8
(f o g)(x) = x^4 - 16x^2 + 72
Therefore, (f o g)(x) = x^4 - 16x^2 + 72.
(g o f)(x):
To find (g o f)(x), we substitute f(x) into g(x):
(g o f)(x) = g(f(x))
Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:
(g o f)(x) = g(f(x)) = g(x^2 + 8)
Now we replace x in g(x^2 + 8) with x^2 + 8:
(g o f)(x) = (x^2 + 8)^2 - 8
Simplifying further:
(g o f)(x) = x^4 + 16x^2 + 64 - 8
(g o f)(x) = x^4 + 16x^2 + 56
Therefore, (g o f)(x) = x^4 + 16x^2 + 56.
(f o g)(2):
To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:
(f o g)(2) = 2^4 - 16(2)^2 + 72
(f o g)(2) = 16 - 64 + 72
(f o g)(2) = 24
Therefore, (f o g)(2) = 24.
In summary:
(f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
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What is the solution to |x − 4| ≥ 7? PLEASE HELP ME I NEED TO GRADUATE
A.
-3 ≤ x ≤ 11
B.
-11 ≤ x ≤ 3
C.
x ≥ 11 or x ≤ -3
D.
x ≥ 3 or x ≤ -11
Answers
Answer:
C. x ≥ 11 or x ≤ -3
Step-by-step explanation:
This inequality can be resolved into two:
-7 ≥ x -4 or x -4 ≥ 7
Adding 4 to the first one of these gives ...
-3 ≥ x ⇔ x ≤ -3
Adding 4 to the second of the inequalities above gives ...
x ≥ 11
The full solution is then ...
x ≥ 11 or x ≤ -3 . . . . . matches choice C
______
Additional comment
You can see in the attachment that when the value of the absolute value expression is supposed to be greater than some number, the solution set will have two disjoint parts. That means the answer expression must include "or", eliminating choices A and B.
__
When you are given the inequality in the form ...
|f(x)| ≤ c . . . . . note "less than ..."
It can be resolved to the compound inequality ...
-c ≤ f(x) ≤ c
When the inequality symbol points the other way ("greater than ..."), this sort of resolution doesn't really make sense. (You can do it, but you need to recognize the nonsense involved. Your teacher may not appreciate this "work".) In the present case, that would look like ...
-7 ≥ x -4 ≥ 7
When you add 4 to all parts of this, it becomes ...
-3 ≥ x ≥ 11
Recognizing the nonsense in this expression, you can rewrite it in two parts the way it should be written:
-3 ≥ x OR x ≥ 11
what is 2 over 5 + 3 over 7=
Answers
Answer:
\(\frac{29}{35}\) Is correct answer
Step-by-step explanation:
Step 1: We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.
Now we multiply 2 by 7, and get 14, then we multiply 5 by 7 and get 35.
Now for the second term. You multiply 3 by 5, and get 15, then multiply 5 by 7 and get 35.
Step 2: Since our denominators match, we can add the numerators.
14 + 15 = 29
That gives us an answer of = \(\frac{29}{35}\)
In pic
(Hope this helps can I pls have brainlist (crown)☺️
A package of 25 fishing hooks costs $9.95 , while a package with 40 hooks costs $13.99 . Which is the better buy? Round your answer to the nearest cent if necessary.
Answers
Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.
To determine which package is the better buy, we need to compare the cost per hook for each package.
For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:
Cost per hook = $9.95 / 25 = $0.398
Rounding to the nearest cent, the cost per hook is $0.40.
For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:
Cost per hook = $13.99 / 40 = $0.3498
Rounding to the nearest cent, the cost per hook is $0.35.
Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.
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if 1/2x + 6 = -x -3, what is the value of -2x?
Answers
Answer:
12
Step-by-step explanation:
Hi there!
We are given the following equation:
1/2x + 6 = -x-3
And we want to find the value of -2x
First, let's solve for x, and then substitute the number found as x into -2x to find the value of -2x
Start by adding x to both sides to remove -x from the right side
1/2x + 6 = -x -3
+x +x
_______________
3/2x+6=-3
Subtract 6 from both sides to remove it from the left side
3/2x=-9
Multiply both sides by 2/3 in order to clear the fraction
x=-6
Now substitute -6 as x into -2x
-2x
x=-6
-2(-6)=12
Hope this helps!
2. Regina Aguirre deposits $2,000 into an ordinary annuity after each 6-month period for 4 years. The account
pays 6% interest compounded semiannually. Find the a) future value, and b) total interest earned.
Answers
Katelyn had 2 dogs and 3 cats. Which of the following shows the ratio written correctly for the number of dogs to cats?
A) 3:2
B) 3-2
C) 2:3
D) 3 x 2
Answers
Answer:
2:3
Step-by-step explanation:
Ratio is indicated by :
Its dogs to cats, right so ratio is number of dogs:number of cats which is 2:3
Hope this helps plz mark brainliest if correct :D
Answer:
2:3
Step-by-step explanation:
2 is first and 3 is the second number so you put them in order
One sweater + 3 shirts =$37
3 sweaters + 2 shirts =$55. Find the price of one sweater and the price of one shirt
Answers
Answer: One sweater: $13 and One shirt: $8
Step-by-step explanation: You have to use elimination. The first formula would be 1x + 3y = 37 and the other is 3x + 2y = 55. Once you use elimination, you just solve a one step equation. When you get x = 13, you plug the 13 into one of the formulas to get 8.
Show that if v1,...,vp is linearly dependent in V, then the set of images, Tv1,...,Tvp, is linearly dependent in W. This fact shows that if a linear transformation maps a set v1,...,vp onto a linearly independent set Tv1,...,Tvp, then the original set is linearly independent, too (because it cannot be linearly dependent.)
Answers
If v1,...,vp is linearly dependent in V, then there exist scalars c1,...,cp such that c1v1 + ... + cpvp = 0.
Applying the linear transformation T to both sides of this equation, we get T(c1v1 + ... + cpvp) = T(0). Since T is a linear transformation, T(c1v1 + ... + cpvp) = c1T(v1) + ... + cpT(vp).
Therefore, Tv1,...,Tvp is linearly dependent in W. This shows that if a linear transformation maps a set v1,...,vp onto a linearly independent set Tv1,...,Tvp, then the original set v1,...,vp must be linearly independent as well, because if it were linearly dependent, then Tv1,...,Tvp would also be linearly dependent.
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Tools Emily buys a sandwich, a salad, and a drink. If she gives the cashier $20, how much change will she receive? Use bills and coins to solve.
Answers
Emily will receive $7 in change.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
We need to know the prices of the sandwich, salad, and drink in order to calculate how much change Emily will receive. Let's assume that the prices are:
Sandwich: $7
Salad: $4
Drink: $2
The total cost of the sandwich, salad, and drink is:
7 + 4 + 2 = $13
If Emily gives the cashier $20, the amount of change she will receive is:
20 - 13 = $7
Therefore, Emily will receive $7 in change.
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What is the area of the triangle
Answers
Answer:
A. 6 inchesssssssss
Answer:
6
Step-by-step explanation:
Please I need help it’s an emergency
Answers
Answer:
C. 1.35 M
I hope it helps...
The radius of the inscribed circle is cm, and the radius of the circumscribed circle is cm.
Answers
The complete question is;
Instructions:Select the correct answer from each drop-down menu.
The side length of the square in the figure is 8 cm.
The radius of the inscribed circle is [ (32)^(1/2), 16, 4, 32 ] cm, and the radius of the circumscribed circle is [ (32)^(1/2), 2(32)^(1/2), (128)^(1/2), 128 ] cm.
Image is attached.
Answer:
Radius of inscribed circle = 4 cm
Radius of circumscribed circle = 32^(1/2) cm
Step-by-step explanation:
The square has a side of 8cm.
Thus,the diameter of the inscribed circle would be same as a side of the square.
So, if diameter = 8cm, then, radius of inscribed = 8/2 = 4cm
Now, to the circumscribed circle, the diagonal of the square would be the diameter of the circumscribed circle. It can be calculated with Pythagoreas theorem.
So, d² = 8² + 8²
d² = 64 + 64
d² = 128
d = √128
Expressing it in surd form gives;
d = √32 x √4
d = 2√32 cm
So radius of circumscribed circle = (2√32)/2 = √32 cm or 32^(1/2) cm
Answer:
4 and 32^1/2
Step-by-step explanation:
i just did it on plato :))
What is the instantaneous rate of change at x=2 for the function
f(x)= 2x - 5
Answers
The instantaneous rate of change at x = 2 is equal to the derivative, which is 2.
How to solve for the rate of changeThe derivative of f(x) = 2x - 5 with respect to x can be found by applying the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).
Taking the derivative of f(x) = 2x - 5:
f'(x) = 2 * (d/dx)(x) - (d/dx)(5)
= 2 * 1 - 0
= 2.
The derivative of f(x) with respect to x is a constant, 2, indicating that the function has a constant slope.
Therefore, the instantaneous rate of change at x = 2 is equal to the derivative, which is 2.
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A signal can be formed by running different colored flags up up a pole, one above the other. Find the number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags
Answers
The total number of different signals consisting of flags is 216
Given data ,
The number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags can be calculated using combinatorial principles.
There are 3 choices for the top flag (white, red, or blue), 2 choices for the second flag (since we've already used one color for the top flag), and 1 choice for the third flag.
Similarly, there are 3 choices for the fourth flag, 2 choices for the fifth flag, and 1 choice for the sixth flag. Finally, there are 3 choices for the seventh flag, 2 choices for the eighth flag, and 1 choice for the ninth flag.
Using the multiplication principle, we can multiply the number of choices at each step to get the total number of different signals:
3 × 2 × 1 × 3 × 2 × 1 × 3 × 2 × 1 = 3! × 3! × 3!
where "!" represents the factorial operation, which is the product of all positive integers up to a given number.
So, the total number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags is:
3! × 3! × 3! = 6 × 6 × 6 = 216
Hence , the number of signals is 216
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Please help me and thank so much
Answers
The angle measure of the angle in the diagram is 62°.
Calculating the measure of an angleFrom the question, we are to determine the angle measure of the angle shown in the diagram.
The angle shown is an acute angle.
An acute angle is an angle whose measure is less than 90°.
To determine the measure of the angle, we will read the angle from the side which the angle is closer to zero (0). We will read from 0 to the line that indicates the angle.
Reading the angle:
Reading the angle as explained above, the measure of the angle is 62°
Hence, the angle measure is 62°.
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Consider the line through (-1, -4) and (1, 2).
What is the slope (m) of the line?
Answers
Answer:
3
Explanation:
\(\bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}\)\(\bold{\left(x_1,\:y_1\right)=\left(-1,\:-4\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)}\)
\(\bold{m=\frac{2-\left(-4\right)}{1-\left(-1\right)}}\)
Refinem = 3
i need help!!!! does anyone know this..!!???
Answers
The period of oscillation is 3 seconds
What is period of oscillation?A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.
The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds
Oscillation can also be vibration or revolution or cycle.
Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.
This means that the period of the particle is 3 seconds.
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A map has a scale of 2" = 50 miles. How far are two cities if they are 3 inches apart?
Answers
Answer:
75 miles
Step-by-step explanation:
2 inches= 50 miles= 3/2*50/1=150/2=75
Answer:
its probably 75!
Step-by-step explanation:
if you divide 50/2 then you would get 25 so just add 50+25
You are baking chocolate chip cookies. The recipe asks for 3 3/4 cups of flour and you want to make 2 times the original recipe.
A. 1 1/2 cups
B. 30/4 cups
C. 7 2/4 cups
D. 7 1/2 cups
Answers
A. 1 1/2 cups
B. 30/4 cups
C. 7 2/4 cups
D. 7 1/2 cups
The answer will be d
write a function to model the following situation: a population of wolves is currently 1200 and is decreasing at a rate of 5% each year. '
HELP!!!
Answers
The equation of the function is f(x) = 1200(0.95)^x
How to determine the equation of the functionFrom the question, we have the following parameters that can be used in our computation:
Initial value, a = 1200
Rate of decrement, r = 5%
Using the above as a guide, we have the following:
f(x) = a *(1 - r)^x
Substitute the known values in the above equation, so, we have the following representation
f(x) = 1200(1 - 5%)^x
So, we have
f(x) = 1200(0.95)^x
Hence, the function is f(x) = 1200(0.95)^x
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Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−15, 3), (−15, −6), and (25, −6)?
(−6, 25)
(−25, −3)
(6, −25)
(25, 3)
Answers
The missing fourth vertex needed to create a rectangle is (25, 3) option D.
Define the term vertices?Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.
Here, the width of one side of the rectangle;
⇒ +3 - (-6) = 9 unit (left side y-coordinates)
Similarly the length of the rectangle;
⇒ 25 - (-15) = 40 unit (up-side x-coordinates)
Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)
So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:
⇒ (25, -6+9) = (25, 3)
⇒ (-15+40, 3) = (25, 3)
Therefore, the missing fourth vertex is (25, 3)
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